Metrics for SynthBasics:moogVCF from YampaSynth-0.2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze110.0ms (1.2%)

Memory

-12.9MiB live, 63.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 14 computations (17.6% saved)

sample1.2s (13.6%)

Memory

27.9MiB live, 1 487.0MiB allocated

Samples

696.0ms	8 041×	0	valid
45.0ms	215×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 482.0ms

ival-mult: 145.0ms (30.1% of total)

ival-div: 135.0ms (28% of total)

ival-tanh: 84.0ms (17.4% of total)

ival-add: 59.0ms (12.2% of total)

ival-sub: 43.0ms (8.9% of total)

ival-true: 7.0ms (1.5% of total)

adjust: 6.0ms (1.2% of total)

ival-assert: 4.0ms (0.8% of total)

Bogosity

explain203.0ms (2.2%)

Memory

14.2MiB live, 335.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
15	-	1	(3.836993157029499e-86 -2.488703977990143e+235 -1.5763744852594478e+20 -2.2710092972494535e-289)	`(.f64 (.f64 y z) (-.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 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x 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**	10	0
`*.f64`	`(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))`	*nu**	2	0
`*.f64`	`(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))`	*ou**	1	0
↳	`(*.f64 y z)`	overflow	31
↳	`(/.f64 t y)`	underflow	31
↳	`(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))`	underflow	45
↳	`(tanh.f64 (/.f64 x y))`	underflow	23
↳	`(/.f64 x y)`	underflow	23
↳	`(tanh.f64 (/.f64 t y))`	underflow	31

Confusion

	Predicted +	Predicted -
+	13	1
-	0	242

Precision

1.0

Recall

0.9285714285714286

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	13	0	1
-	0	0	242

Precision?

1.0

Recall?

0.9285714285714286

Freqs

test

number	freq
0	243
1	13

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

80.0ms	436×	0	valid
18.0ms	68×	2	valid
2.0ms	8×	1	valid

Compiler

Compiled 193 to 52 computations (73.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-mult: 44.0ms (61.8% of total)

ival-div: 10.0ms (14% of total)

ival-tanh: 7.0ms (9.8% of total)

adjust: 3.0ms (4.2% of total)

ival-sub: 3.0ms (4.2% of total)

ival-add: 3.0ms (4.2% of total)

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

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

preprocess323.0ms (3.5%)

Memory

-1.7MiB live, 153.2MiB allocated

Algorithm

1×	egg-herbie

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

Symmetry

(abs y)

Compiler

Compiled 15 to 12 computations (20% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.9%	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

Compiler

Compiled 15 to 12 computations (20% saved)

simplify369.0ms (4.1%)

Memory

-18.6MiB live, 120.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
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)))))

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

localize254.0ms (2.8%)

Memory

-20.4MiB live, 17.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(tanh.f64 (/.f64 x y))
accuracy	0.00390625	(tanh.f64 (/.f64 t y))
accuracy	0.0078125	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
accuracy	3.520192795131868	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

Samples

236.0ms	218×	0	valid
9.0ms	34×	2	valid
1.0ms	4×	1	valid

Compiler

Compiled 118 to 26 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 234.0ms

ival-tanh: 221.0ms (94.4% of total)

ival-div: 5.0ms (2.1% of total)

ival-mult: 4.0ms (1.7% of total)

adjust: 1.0ms (0.4% of total)

ival-sub: 1.0ms (0.4% of total)

ival-add: 1.0ms (0.4% of total)

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

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

series149.0ms (1.6%)

Memory

19.9MiB live, 63.0MiB allocated

Counts

6 → 204

Calls

Call 1

Inputs
#s(alt (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ())
#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())
#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())
#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())
#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())

Outputs
#s(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))))))))) (taylor 0 t) (#s(alt (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(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)))))))))) (taylor 0 t) (#s(alt (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(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)))))))))) (taylor 0 t) (#s(alt (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(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)))))))))) (taylor 0 t) (#s(alt (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (taylor 0 t) (#s(alt (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) (taylor 0 t) (#s(alt (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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))))))))) (taylor 0 t) (#s(alt (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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))))))))) (taylor 0 t) (#s(alt (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ t y) (taylor 0 t) (#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (taylor 0 t) (#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (taylor 0 t) (#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* t (+ (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (taylor 0 t) (#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())) ())
#s(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)))))))))) (taylor inf t) (#s(alt (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(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)))))))))) (taylor inf t) (#s(alt (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(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)))))))))) (taylor inf t) (#s(alt (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(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)))))))))) (taylor inf t) (#s(alt (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())) ())
#s(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))))))))) (taylor inf t) (#s(alt (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ())) ())
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#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
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Calls

12 calls:

Time	Variable		Point	Expression
83.0ms	y	@	-inf	((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (tanh (/ x y)))
19.0ms	x	@	0	((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (tanh (/ x y)))
7.0ms	y	@	inf	((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (tanh (/ x y)))
6.0ms	z	@	0	((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (tanh (/ x y)))
4.0ms	t	@	inf	((+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (tanh (/ x y)))

simplify218.0ms (2.4%)

Memory

1.3MiB live, 224.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	495	10076
1	1678	7475
2	7001	7473
0	8025	7285

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 200

Calls

Call 1

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

rewrite243.0ms (2.7%)

Memory

8.6MiB live, 342.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	48
0	20	48
1	99	48
2	871	48
0	8208	47

Stop Event

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

Counts

6 → 312

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 t y))
(tanh.f64 (/.f64 x y))

Outputs
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eval154.0ms (1.7%)

Memory: -23.1MiB live, 180.3MiB allocated
Compiler: Compiled 22 453 to 2 018 computations (91% saved)

prune17.0ms (0.2%)

Memory

5.8MiB live, 48.2MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	506	6	512
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	507	6	513

Accuracy

100.0%

Counts

513 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.6%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
	65.4%	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
▶	66.7%	(+.f64 x (.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
▶	53.0%	(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
▶	62.5%	(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)))
▶	62.5%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))

Compiler

Compiled 142 to 120 computations (15.5% saved)

simplify116.0ms (1.3%)

Memory

16.2MiB live, 209.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))
cost-diff	0	(*.f64 y z)
cost-diff	0	(.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))
cost-diff	128	(+.f64 x (.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
cost-diff	0	#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
cost-diff	0	(*.f64 y z)
cost-diff	0	(.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))
cost-diff	128	(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
cost-diff	0	(-.f64 t x)
cost-diff	0	(*.f64 (-.f64 t x) z)
cost-diff	0	#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z))
cost-diff	0	(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)))
cost-diff	0	(-.f64 t x)
cost-diff	0	(fma.f64 (-.f64 t x) z x)
cost-diff	0	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z 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)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	281
0	54	280
1	114	280
2	252	280
3	635	280
4	2176	280
0	8099	278

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
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
(fma.f64 (-.f64 t x) z x)
(-.f64 t x)
t
x
z
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)))
x
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z))
(*.f64 (-.f64 t x) z)
(-.f64 t x)
t
z
(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
x
(.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))
(*.f64 y z)
y
z
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
(/.f64 (-.f64 t x) y)
(-.f64 t x)
t
(+.f64 x (.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
x
(.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(*.f64 y z)
y
z
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))
#s(approx (tanh (/ t y)) (/.f64 t y))
(/.f64 t y)
t
(tanh.f64 (/.f64 x y))
(/.f64 x y)

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

localize143.0ms (1.6%)

Memory

-25.9MiB live, 188.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(tanh.f64 (/.f64 x y))
accuracy	0.0078125	(+.f64 x (.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
accuracy	3.520192795131868	(.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))
accuracy	31.123060052804977	#s(approx (tanh (/ t y)) (/.f64 t y))
accuracy	0.0078125	(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
accuracy	0.01171875	(/.f64 (-.f64 t x) y)
accuracy	3.520192795131868	(.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))
accuracy	42.42279389596567	#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
accuracy	0	(-.f64 t x)
accuracy	0.0078125	(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)))
accuracy	0.0078125	(*.f64 (-.f64 t x) z)
accuracy	40.475634919114064	#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z))
accuracy	0	(fma.f64 (-.f64 t x) z x)
accuracy	0	(-.f64 t x)
accuracy	23.98484083880015	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
accuracy	0	(tanh.f64 (/.f64 x y))
accuracy	0.00390625	(tanh.f64 (/.f64 t y))
accuracy	0.0078125	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
accuracy	1.8529406278336027	(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)

Samples

69.0ms	218×	0	valid
22.0ms	33×	2	valid
4.0ms	4×	1	valid
1.0ms	1×	3	valid

Compiler

Compiled 429 to 47 computations (89% saved)

Precisions

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

ival-mult: 14.0ms (36.4% of total)

ival-div: 8.0ms (20.8% of total)

ival-add: 6.0ms (15.6% of total)

ival-tanh: 4.0ms (10.4% of total)

adjust: 3.0ms (7.8% of total)

ival-sub: 3.0ms (7.8% of total)

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

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

series108.0ms (1.2%)

Memory

16.3MiB live, 130.1MiB allocated

Counts

20 → 756

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (patch (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) (patch (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) #<representation binary64>) () ())
#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())
#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 t x) z x) (patch (fma.f64 (-.f64 t x) z x) #<representation binary64>) () ())
#s(alt (-.f64 t x) (patch (-.f64 t x) #<representation binary64>) () ())
#s(alt (+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (.f64 (-.f64 t x) z))) (patch (+.f64 x #s(approx ( (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z))) #<representation binary64>) () ())
#s(alt #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (.f64 (-.f64 t x) z)) (patch #s(approx ( (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 t x) z) (patch (.f64 (-.f64 t x) z) #<representation binary64>) () ())
#s(alt (+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) (patch (+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) (patch (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) #<representation binary64>) () ())
#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())
#s(alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) (patch #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) #<representation binary64>) () ())
#s(alt (+.f64 x (.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (patch (.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())
#s(alt (tanh.f64 (/.f64 x y)) (patch (tanh.f64 (/.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 t x) y) (patch (/.f64 (-.f64 t x) y) #<representation binary64>) () ())
#s(alt #s(approx (tanh (/ t y)) (/.f64 t y)) (patch #s(approx (tanh (/ t y)) (/.f64 t y)) #<representation binary64>) () ())

Outputs
#s(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))))))))) (taylor 0 t) (#s(alt (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (patch (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #<representation binary64>) () ())) ())
#s(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)))))))))) (taylor 0 t) (#s(alt (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (patch (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #<representation binary64>) () ())) ())
#s(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)))))))))) (taylor 0 t) (#s(alt (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (patch (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #<representation binary64>) () ())) ())
#s(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)))))))))) (taylor 0 t) (#s(alt (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (patch (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (taylor 0 t) (#s(alt (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) (patch (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) #<representation binary64>) () ())) ())
#s(alt (+ t (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (taylor 0 t) (#s(alt (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) (patch (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) #<representation binary64>) () ())) ())
#s(alt (+ (* t (+ 1 (* -1/3 (/ (pow t 2) (pow y 2))))) (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (taylor 0 t) (#s(alt (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) (patch (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) #<representation binary64>) () ())) ())
#s(alt (+ (* t (+ 1 (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 4))) (* 1/3 (/ 1 (pow y 2))))))) (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (taylor 0 t) (#s(alt (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) (patch (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ t y) (taylor 0 t) (#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (taylor 0 t) (#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (taylor 0 t) (#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 t x) y) (patch (/.f64 (-.f64 t x) y) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
30.0ms	z	@	0	((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (- t x) z) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ x y)) (/ (- t x) y) (tanh (/ t y)))
7.0ms	x	@	inf	((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (- t x) z) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ x y)) (/ (- t x) y) (tanh (/ t y)))
3.0ms	t	@	-inf	((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (- t x) z) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ x y)) (/ (- t x) y) (tanh (/ t y)))
3.0ms	t	@	inf	((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (- t x) z) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ x y)) (/ (- t x) y) (tanh (/ t y)))
3.0ms	y	@	-inf	((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- t x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* (- t x) z) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ x y)) (/ (- t x) y) (tanh (/ t y)))

simplify277.0ms (3%)

Memory

3.4MiB live, 315.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	642	37580
1	2144	27811
0	8555	27140

Stop Event

1×	iter limit
1×	node limit

Counts

756 → 732

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))))))))))
(* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
(+ t (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))
(+ (* t (+ 1 (* -1/3 (/ (pow t 2) (pow y 2))))) (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))
(+ (* t (+ 1 (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 4))) (* 1/3 (/ 1 (pow y 2))))))) (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))
(- (/ 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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(- (+ (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))
(- (+ (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))
(/ t y)
(* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y)))
(* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))
(* t (+ (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))
(+ 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 (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* t z)))
(+ x (+ (* -1 (* x z)) (* t z)))
(+ x (+ (* -1 (* x z)) (* t z)))
(* -1 x)
(- t x)
(- t x)
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(+ 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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(+ (* 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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(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(* -1 (/ x y))
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y))))
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y))))
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y))))

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 z y) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) x)
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(fma.f64 (*.f64 z y) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 t z x))
(+ 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))))))))))
(fma.f64 (.f64 z y) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 (.f64 (*.f64 t t) z) y) z) t x))
(+ 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))))))))))
(fma.f64 (.f64 z y) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 z y) (.f64 (.f64 #s(literal 2/15 binary64) (.f64 t t)) (/.f64 z (pow.f64 y #s(literal 4 binary64))))) (*.f64 t t) z) t x))
(* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) y)
(+ t (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) y t)
(+ (* t (+ 1 (* -1/3 (/ (pow t 2) (pow y 2))))) (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) y (fma.f64 (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) y) y) #s(literal -1/3 binary64) t))
(+ (* t (+ 1 (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 4))) (* 1/3 (/ 1 (pow y 2))))))) (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) y (fma.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (.f64 t (/.f64 t (pow.f64 y #s(literal 4 binary64)))) #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 y y))) t))
(- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))
(- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))
(-.f64 (+.f64 (/.f64 t y) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))
(- (+ (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))
(-.f64 (fma.f64 (fma.f64 (*.f64 t (/.f64 t (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y)) t (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))
(- (+ (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))
(-.f64 (+.f64 (fma.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 #s(literal 2/15 binary64) (pow.f64 y #s(literal 5 binary64))) t) t (/.f64 #s(literal -1/3 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 t y)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y)))))
(/ t y)
(/.f64 t y)
(* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y)))
(+.f64 (/.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) #s(literal -1/3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 t y))
(* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))
(fma.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 #s(literal 2/15 binary64) (pow.f64 y #s(literal 5 binary64))) t) t (/.f64 #s(literal -1/3 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 t y))
(* t (+ (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))
(fma.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 t (/.f64 t (pow.f64 y #s(literal 7 binary64)))) #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 t t) (/.f64 #s(literal -1/3 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 t y))
(+ 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 z y) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) x)
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(fma.f64 (*.f64 z y) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 t z x))
(+ 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))))))))))
(fma.f64 (.f64 z y) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 (.f64 (*.f64 t t) z) y) z) t x))
(+ 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))))))))))
(fma.f64 (.f64 z y) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 z y) (.f64 (.f64 #s(literal 2/15 binary64) (.f64 t t)) (/.f64 z (pow.f64 y #s(literal 4 binary64))))) (*.f64 t t) z) t x))
(+ x (* -1 (* x z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(+ x (+ (* -1 (* x z)) (* t z)))
(fma.f64 (-.f64 t x) z x)
(+ x (+ (* -1 (* x z)) (* t z)))
(fma.f64 (-.f64 t x) z x)
(+ x (+ (* -1 (* x z)) (* t z)))
(fma.f64 (-.f64 t x) z x)
(* -1 x)
(neg.f64 x)
(- t x)
(-.f64 t x)
(- t x)
(-.f64 t x)
(- t x)
(-.f64 t x)
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))
(fma.f64 (*.f64 z y) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) x)
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(fma.f64 (*.f64 z y) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 t z x))
(+ 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))))))))))
(fma.f64 (.f64 z y) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 (.f64 (*.f64 t t) z) y) z) t x))
(+ 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))))))))))
(fma.f64 (.f64 z y) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 z y) (.f64 (.f64 #s(literal 2/15 binary64) (.f64 t t)) (/.f64 z (pow.f64 y #s(literal 4 binary64))))) (*.f64 t t) z) t x))
(* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))
(.f64 (.f64 z y) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))))
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(fma.f64 (.f64 z y) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (.f64 t z))
(+ (* 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)))))))))
(fma.f64 (.f64 z y) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 (.f64 (.f64 t t) z) y) z) t))
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(fma.f64 (.f64 z y) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 z y) (.f64 (.f64 #s(literal 2/15 binary64) (.f64 t t)) (/.f64 z (pow.f64 y #s(literal 4 binary64))))) (*.f64 t z)))
(* -1 (* x z))
(*.f64 (neg.f64 z) x)
(+ (* -1 (* x z)) (* t z))
(*.f64 (-.f64 t x) z)
(+ (* -1 (* x z)) (* t z))
(*.f64 (-.f64 t x) z)
(+ (* -1 (* x z)) (* t z))
(*.f64 (-.f64 t x) z)
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(fma.f64 (*.f64 z y) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) x)
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(fma.f64 (*.f64 z y) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 t z x))
(+ 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))))))))))
(fma.f64 (.f64 z y) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))) (fma.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 (.f64 (*.f64 t t) z) y) z) t x))
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x
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(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))) (+.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (exp.f64 (/.f64 x y))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
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(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 t x) y)) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y))))
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rewrite159.0ms (1.7%)

Memory

-3.5MiB live, 233.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	238
0	54	237
1	230	237
2	1920	237
0	8090	235

Stop Event

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

Counts

20 → 569

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))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
(fma.f64 (-.f64 t x) z x)
(-.f64 t x)
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z)))
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 (-.f64 t x) z))
(*.f64 (-.f64 t x) z)
(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
(.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))
(*.f64 y z)
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
(+.f64 x (.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))
(tanh.f64 (/.f64 x y))
(/.f64 (-.f64 t x) y)
#s(approx (tanh (/ t y)) (/.f64 t y))

Outputs
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eval533.0ms (5.8%)

Memory: -33.1MiB live, 457.8MiB allocated
Compiler: Compiled 53 643 to 3 729 computations (93% saved)

prune49.0ms (0.5%)

Memory

-10.6MiB live, 124.0MiB allocated

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	1 455	20	1 475
Fresh	0	1	1
Picked	3	2	5
Done	0	0	0
Total	1 458	23	1 481

Accuracy

100.0%

Counts

1 481 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.6%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
	69.2%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x)
▶	69.6%	(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
	55.3%	(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x)
	65.4%	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
	34.1%	(+.f64 x (.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 (-.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) (neg.f64 y)) (neg.f64 y)) x) (neg.f64 y))))))
	32.0%	(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 y x)) (.f64 (/.f64 y t) #s(literal 1 binary64))) (*.f64 (/.f64 y t) (/.f64 y x))))))
▶	29.8%	(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)))))
	48.9%	(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
	49.1%	(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 (/.f64 t x) y) (/.f64 (neg.f64 x) y))))))
▶	59.1%	(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
	45.7%	(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (neg.f64 t) (-.f64 (/.f64 (/.f64 x t) y) (/.f64 #s(literal 1 binary64) y)))))))
	44.3%	(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (.f64 (.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t))))
	61.0%	(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (* (- t x) z) (*.f64 t z))))
	31.1%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (-.f64 (.f64 (.f64 t t) (+.f64 x t)) (.f64 (+.f64 x t) (.f64 x x))) (*.f64 (+.f64 x t) (+.f64 x t))) z x))
▶	45.4%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x))
✓	62.5%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
	54.9%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x t)) t)) z x))
	56.3%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
	60.3%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 (*.f64 t z) x) z) x x)))
	24.2%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
	56.3%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
▶	15.1%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))

Compiler

Compiled 635 to 500 computations (21.3% saved)

simplify146.0ms (1.6%)

Memory

16.5MiB live, 127.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))))
cost-diff	128	(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)))))
cost-diff	320	(*.f64 #s(literal 1 binary64) y)
cost-diff	2048	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))
cost-diff	0	(*.f64 (+.f64 x t) (-.f64 t x))
cost-diff	0	(fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x)
cost-diff	0	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x))
cost-diff	1408	(/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t))
cost-diff	0	#s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))
cost-diff	0	(*.f64 y z)
cost-diff	0	(.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))
cost-diff	128	(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
cost-diff	0	(*.f64 t z)
cost-diff	0	#s(approx (+ (* (- t x) z) x) (*.f64 t z))
cost-diff	0	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
cost-diff	0	#s(approx (tanh (/ t y)) (/.f64 t y))
cost-diff	0	(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))
cost-diff	0	(*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)
cost-diff	0	(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	401
0	72	381
1	163	381
2	436	343
3	1434	331
4	5388	331
0	8762	327

Stop Event

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

Calls

Call 1

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

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

localize111.0ms (1.2%)

Memory

-4.1MiB live, 195.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	2.7308265050270344	(*.f64 (/.f64 y t) x)
accuracy	3.520192795131868	(.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))))
accuracy	20.827383796347185	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))
accuracy	42.42279389596567	#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y)))
accuracy	0	(+.f64 x t)
accuracy	0.00390625	(*.f64 (+.f64 x t) (-.f64 t x))
accuracy	23.98484083880015	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x))
accuracy	28.305477281737673	(/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t))
accuracy	0.0078125	(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
accuracy	3.520192795131868	(.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))
accuracy	33.193893691779756	#s(approx (/ (- t x) y) (/.f64 t y))
accuracy	42.42279389596567	#s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))
accuracy	0	(*.f64 t z)
accuracy	23.98484083880015	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
accuracy	39.92057778136334	#s(approx (+ (* (- t x) z) x) (*.f64 t z))
accuracy	0	(tanh.f64 (/.f64 x y))
accuracy	0.0078125	(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
accuracy	1.8529406278336027	(*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)
accuracy	31.123060052804977	#s(approx (tanh (/ t y)) (/.f64 t y))

Samples

54.0ms	218×	0	valid
23.0ms	33×	2	valid
2.0ms	4×	1	valid
1.0ms	1×	3	valid

Compiler

Compiled 543 to 69 computations (87.3% saved)

Precisions

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

ival-mult: 18.0ms (37.1% of total)

ival-div: 12.0ms (24.7% of total)

ival-add: 7.0ms (14.4% of total)

adjust: 4.0ms (8.2% of total)

ival-sub: 4.0ms (8.2% of total)

ival-tanh: 4.0ms (8.2% of total)

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

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

exact: 0.0ms (0% of total)

series103.0ms (1.1%)

Memory

27.4MiB live, 220.9MiB allocated

Counts

24 → 840

Calls

Call 1

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

Outputs
#s(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))))))))) (taylor 0 t) (#s(alt (fma.f64 (.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (patch (fma.f64 (.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #<representation binary64>) () ())) ())
#s(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)))))))))) (taylor 0 t) (#s(alt (fma.f64 (.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (patch (fma.f64 (.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #<representation binary64>) () ())) ())
#s(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)))))))))) (taylor 0 t) (#s(alt (fma.f64 (.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (patch (fma.f64 (.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #<representation binary64>) () ())) ())
#s(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)))))))))) (taylor 0 t) (#s(alt (fma.f64 (.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (patch (fma.f64 (.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (taylor 0 t) (#s(alt (.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) (patch (.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) #<representation binary64>) () ())) ())
#s(alt (+ t (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (taylor 0 t) (#s(alt (.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) (patch (.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) #<representation binary64>) () ())) ())
#s(alt (+ (* t (+ 1 (* -1/3 (/ (pow t 2) (pow y 2))))) (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (taylor 0 t) (#s(alt (.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) (patch (.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) #<representation binary64>) () ())) ())
#s(alt (+ (* t (+ 1 (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 4))) (* 1/3 (/ 1 (pow y 2))))))) (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (taylor 0 t) (#s(alt (.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) (patch (.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (taylor 0 t) (#s(alt (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (patch (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ t y) (taylor 0 t) (#s(alt #s(approx (tanh (/ t y)) (/.f64 t y)) (patch #s(approx (tanh (/ t y)) (/.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y))) (taylor 0 t) (#s(alt #s(approx (tanh (/ t y)) (/.f64 t y)) (patch #s(approx (tanh (/ t y)) (/.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (taylor 0 t) (#s(alt #s(approx (tanh (/ t y)) (/.f64 t y)) (patch #s(approx (tanh (/ t y)) (/.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* t (+ (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (taylor 0 t) (#s(alt #s(approx (tanh (/ t y)) (/.f64 t y)) (patch #s(approx (tanh (/ t y)) (/.f64 t y)) #<representation binary64>) () ())) ())
#s(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))))))))) (taylor 0 t) (#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (.f64 t z))) (patch #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(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)))))))))) (taylor 0 t) (#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (.f64 t z))) (patch #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(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)))))))))) (taylor 0 t) (#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (.f64 t z))) (patch #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(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)))))))))) (taylor 0 t) (#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (.f64 t z))) (patch #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x z))) (taylor 0 t) (#s(alt #s(approx (+ (* (- t x) z) x) (.f64 t z)) (patch #s(approx (+ ( (- t x) z) x) (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (* x z)) (* t z))) (taylor 0 t) (#s(alt #s(approx (+ (* (- t x) z) x) (.f64 t z)) (patch #s(approx (+ ( (- t x) z) x) (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (* x z)) (* t z))) (taylor 0 t) (#s(alt #s(approx (+ (* (- t x) z) x) (.f64 t z)) (patch #s(approx (+ ( (- t x) z) x) (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (* x z)) (* t z))) (taylor 0 t) (#s(alt #s(approx (+ (* (- t x) z) x) (.f64 t z)) (patch #s(approx (+ ( (- t x) z) x) (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor 0 t) (#s(alt (.f64 t z) (patch (.f64 t z) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor 0 t) (#s(alt (.f64 t z) (patch (.f64 t z) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor 0 t) (#s(alt (.f64 t z) (patch (.f64 t z) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor 0 t) (#s(alt (.f64 t z) (patch (.f64 t z) #<representation binary64>) () ())) ())
#s(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))))))))) (taylor 0 t) (#s(alt (+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) (patch (+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) #<representation binary64>) () ())) ())
#s(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)))))))))) (taylor 0 t) (#s(alt (+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) (patch (+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) #<representation binary64>) () ())) ())
#s(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)))))))))) (taylor 0 t) (#s(alt (+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) (patch (+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) #<representation binary64>) () ())) ())
#s(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)))))))))) (taylor 0 t) (#s(alt (+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) (patch (+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (/ (- t x) y) (/.f64 t y)) (patch #s(approx (/ (- t x) y) (/.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (/ (- t x) y) (/.f64 t y)) (patch #s(approx (/ (- t x) y) (/.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ t (* x y))) (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (/ (- t x) y) (/.f64 t y)) (patch #s(approx (/ (- t x) y) (/.f64 t y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x t) (patch (+.f64 x t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ t x)) 1))) (taylor -inf x) (#s(alt (+.f64 x t) (patch (+.f64 x t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ t x)) 1))) (taylor -inf x) (#s(alt (+.f64 x t) (patch (+.f64 x t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ t x)) 1))) (taylor -inf x) (#s(alt (+.f64 x t) (patch (+.f64 x t) #<representation binary64>) () ())) ())
#s(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))))))) (taylor -inf x) (#s(alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (/.f64 y t) x)) (.f64 (/.f64 y t) y))) (patch #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (/.f64 y t) x)) (.f64 (/.f64 y t) y))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor -inf x) (#s(alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (/.f64 y t) x)) (.f64 (/.f64 y t) y))) (patch #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (/.f64 y t) x)) (.f64 (/.f64 y t) y))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor -inf x) (#s(alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (/.f64 y t) x)) (.f64 (/.f64 y t) y))) (patch #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (/.f64 y t) x)) (.f64 (/.f64 y t) y))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor -inf x) (#s(alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (/.f64 y t) x)) (.f64 (/.f64 y t) y))) (patch #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) y) (.f64 (/.f64 y t) x)) (.f64 (/.f64 y t) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) t) (taylor -inf x) (#s(alt (.f64 (/.f64 y t) x) (patch (.f64 (/.f64 y t) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) t) (taylor -inf x) (#s(alt (.f64 (/.f64 y t) x) (patch (.f64 (/.f64 y t) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) t) (taylor -inf x) (#s(alt (.f64 (/.f64 y t) x) (patch (.f64 (/.f64 y t) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) t) (taylor -inf x) (#s(alt (.f64 (/.f64 y t) x) (patch (.f64 (/.f64 y t) x) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
16.0ms	t	@	-inf	((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* t z) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (/ (* (+ x t) (- t x)) (+ x t)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (* (+ x t) (- t x)) (/ (- (* 1 y) (* (/ y t) x)) (* (/ y t) y)) (* 1 y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (tanh (/ x y)) (/ (- t x) y) (+ x t) (- (tanh (/ t y)) (tanh (/ x y))) (* (/ y t) x))
7.0ms	y	@	inf	((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* t z) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (/ (* (+ x t) (- t x)) (+ x t)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (* (+ x t) (- t x)) (/ (- (* 1 y) (* (/ y t) x)) (* (/ y t) y)) (* 1 y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (tanh (/ x y)) (/ (- t x) y) (+ x t) (- (tanh (/ t y)) (tanh (/ x y))) (* (/ y t) x))
4.0ms	t	@	inf	((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* t z) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (/ (* (+ x t) (- t x)) (+ x t)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (* (+ x t) (- t x)) (/ (- (* 1 y) (* (/ y t) x)) (* (/ y t) y)) (* 1 y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (tanh (/ x y)) (/ (- t x) y) (+ x t) (- (tanh (/ t y)) (tanh (/ x y))) (* (/ y t) x))
4.0ms	y	@	-inf	((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* t z) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (/ (* (+ x t) (- t x)) (+ x t)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (* (+ x t) (- t x)) (/ (- (* 1 y) (* (/ y t) x)) (* (/ y t) y)) (* 1 y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (tanh (/ x y)) (/ (- t x) y) (+ x t) (- (tanh (/ t y)) (tanh (/ x y))) (* (/ y t) x))
4.0ms	x	@	-inf	((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* t z) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (- (tanh (/ t y)) (tanh (/ x y))) (/ (* (+ x t) (- t x)) (+ x t)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (* (+ x t) (- t x)) (/ (- (* 1 y) (* (/ y t) x)) (* (/ y t) y)) (* 1 y) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (tanh (/ x y)) (/ (- t x) y) (+ x t) (- (tanh (/ t y)) (tanh (/ x y))) (* (/ y t) x))

simplify357.0ms (3.9%)

Memory

-12.3MiB live, 322.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	699	34693
1	2313	25847
0	9029	25199

Stop Event

1×	iter limit
1×	node limit

Counts

840 → 797

Calls

Call 1

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

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

rewrite227.0ms (2.5%)

Memory

-10.9MiB live, 194.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	351
0	72	341
1	314	283
2	2721	283
0	8511	279

Stop Event

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

Counts

24 → 502

Calls

Call 1

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

Outputs
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eval356.0ms (3.9%)

Memory: -1.2MiB live, 222.8MiB allocated
Compiler: Compiled 43 035 to 3 326 computations (92.3% saved)

prune162.0ms (1.8%)

Memory

17.0MiB live, 105.1MiB allocated

Pruning

26 alts after pruning (22 fresh and 4 done)

	Pruned	Kept	Total
New	1 347	16	1 363
Fresh	10	6	16
Picked	3	2	5
Done	0	2	2
Total	1 360	26	1 386

Accuracy

100.0%

Counts

1 386 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.6%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
▶	69.2%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x)
✓	69.6%	(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
	55.3%	(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x)
	59.1%	(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) x)
	65.4%	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
	32.0%	(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (/.f64 y x) (.f64 (/.f64 y t) #s(literal 1 binary64))) (.f64 (/.f64 y t) (/.f64 y x))))))
	13.4%	(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 y (.f64 (.f64 (/.f64 y t) y) t)) (.f64 (.f64 (/.f64 y t) y) (.f64 x y))) (.f64 (.f64 (/.f64 y t) y) (.f64 (.f64 (/.f64 y t) y) t))))))
	48.9%	(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
	47.2%	(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 y (*.f64 (/.f64 y t) y)) (/.f64 x y)))))
▶	25.1%	(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (.f64 (/.f64 (-.f64 y (.f64 (/.f64 y t) x)) (*.f64 y y)) t))))
	45.7%	(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- (* 1 y) (* (/ y t) x)) (* (/ y t) y)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x t)) y) t)))))
	44.3%	(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (.f64 (.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t))))
	61.0%	(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (* (- t x) z) (*.f64 t z))))
	31.8%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (.f64 (+.f64 x t) (-.f64 t x)) (/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x t)) (.f64 (-.f64 x t) (.f64 t t))) (.f64 (-.f64 x t) (-.f64 x t)))) z x))
	31.1%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (.f64 (.f64 (+.f64 x t) (-.f64 x t)) (-.f64 t x)) (*.f64 (-.f64 x t) (+.f64 x t))) z x))
	34.9%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (.f64 (.f64 (+.f64 x t) (-.f64 t x)) z) (*.f64 (+.f64 x t) (-.f64 x t))) (-.f64 x t) x))
▶	43.0%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 (neg.f64 x) x)) (+.f64 x t)) z x))
	57.1%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 t t)) (+.f64 x t)) z x))
✓	62.5%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
	54.9%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (/ (* (+ x t) (- t x)) (+ x t)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x t)) t)) z x))
	56.3%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (/ (* (+ x t) (- t x)) (+ x t)) (neg.f64 x)) z x))
▶	60.3%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (fma.f64 (-.f64 (/.f64 (*.f64 t z) x) z) x x)))
	24.2%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (*.f64 (-.f64 t x) z)))
▶	56.3%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
✓	15.1%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))

Compiler

Compiled 750 to 546 computations (27.2% saved)

simplify262.0ms (2.9%)

Memory

6.2MiB live, 118.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (.f64 (/.f64 (-.f64 y (.f64 (/.f64 y t) x)) (*.f64 y y)) t)))
cost-diff	128	(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (.f64 (/.f64 (-.f64 y (.f64 (/.f64 y t) x)) (*.f64 y y)) t))))
cost-diff	640	(/.f64 (-.f64 y (.f64 (/.f64 y t) x)) (.f64 y y))
cost-diff	1024	(.f64 (/.f64 (-.f64 y (.f64 (/.f64 y t) x)) (*.f64 y y)) t)
cost-diff	0	#s(approx (* (+ x t) (- t x)) (*.f64 (neg.f64 x) x))
cost-diff	0	(/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 (neg.f64 x) x)) (+.f64 x t))
cost-diff	0	(fma.f64 (/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 (neg.f64 x) x)) (+.f64 x t)) z x)
cost-diff	0	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 (neg.f64 x) x)) (+.f64 x t)) z x))
cost-diff	0	(-.f64 (/.f64 (*.f64 t z) x) z)
cost-diff	0	#s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (fma.f64 (-.f64 (/.f64 (*.f64 t z) x) z) x x))
cost-diff	0	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (fma.f64 (-.f64 (/.f64 (*.f64 t z) x) z) x x)))
cost-diff	1024	(fma.f64 (-.f64 (/.f64 (*.f64 t z) x) z) x x)
cost-diff	0	(-.f64 #s(literal 1 binary64) z)
cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) z) x)
cost-diff	0	#s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
cost-diff	0	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
cost-diff	0	(tanh.f64 (/.f64 t y))
cost-diff	0	(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))
cost-diff	0	(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y)
cost-diff	0	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	455
0	82	455
1	181	455
2	413	431
3	1041	403
4	3626	378
5	7856	378
0	8010	367

Stop Event

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

Calls

Call 1

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

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

localize149.0ms (1.6%)

Memory

-3.1MiB live, 310.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.520192795131868	(.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (.f64 (/.f64 (-.f64 y (.f64 (/.f64 y t) x)) (*.f64 y y)) t)))
accuracy	4.61681688281226	(.f64 (/.f64 (-.f64 y (.f64 (/.f64 y t) x)) (*.f64 y y)) t)
accuracy	26.143568699469142	(/.f64 (-.f64 y (.f64 (/.f64 y t) x)) (.f64 y y))
accuracy	42.42279389596567	#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (.f64 (/.f64 (-.f64 y (.f64 (/.f64 y t) x)) (*.f64 y y)) t))
accuracy	0	(neg.f64 x)
accuracy	23.98484083880015	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 (neg.f64 x) x)) (+.f64 x t)) z x))
accuracy	27.33060868423592	#s(approx (* (+ x t) (- t x)) (*.f64 (neg.f64 x) x))
accuracy	28.305477281737673	(/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 (neg.f64 x) x)) (+.f64 x t))
accuracy	0.01171875	(-.f64 (/.f64 (*.f64 t z) x) z)
accuracy	4.048189600178847	(/.f64 (*.f64 t z) x)
accuracy	5.461994753110653	(fma.f64 (-.f64 (/.f64 (*.f64 t z) x) z) x x)
accuracy	23.98484083880015	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (fma.f64 (-.f64 (/.f64 (*.f64 t z) x) z) x x)))
accuracy	0	(-.f64 #s(literal 1 binary64) z)
accuracy	0.01171875	(*.f64 (-.f64 #s(literal 1 binary64) z) x)
accuracy	21.24581156340313	#s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
accuracy	23.98484083880015	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
accuracy	0.00390625	(tanh.f64 (/.f64 t y))
accuracy	0.0078125	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x)
accuracy	1.8529406278336027	(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y)
accuracy	33.2449658199436	#s(approx (tanh (/ x y)) (/.f64 x y))

Samples

94.0ms	218×	0	valid
22.0ms	33×	2	valid
2.0ms	4×	1	valid
1.0ms	1×	3	valid

Compiler

Compiled 580 to 78 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-div: 32.0ms (34.1% of total)

ival-mult: 25.0ms (26.7% of total)

ival-add: 17.0ms (18.1% of total)

ival-sub: 7.0ms (7.5% of total)

ival-tanh: 6.0ms (6.4% of total)

adjust: 5.0ms (5.3% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series136.0ms (1.5%)

Memory

-13.4MiB live, 150.9MiB allocated

Counts

24 → 828

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) (patch (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) (patch (.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) #<representation binary64>) () ())
#s(alt (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (patch (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) #<representation binary64>) () ())
#s(alt (tanh.f64 (/.f64 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())
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Outputs
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#s(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))) (taylor -inf x) (#s(alt (+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (.f64 (/.f64 (-.f64 y (.f64 (/.f64 y t) x)) (.f64 y y)) t)))) (patch (+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (.f64 (/.f64 (-.f64 y (.f64 (/.f64 y t) x)) (.f64 y y)) t)))) #<representation binary64>) () ())) ())
#s(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))))))))) (taylor -inf x) (#s(alt (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (.f64 (/.f64 (-.f64 y (.f64 (/.f64 y t) x)) (.f64 y y)) t))) (patch (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (.f64 (/.f64 (-.f64 y (.f64 (/.f64 y t) x)) (.f64 y y)) t))) #<representation binary64>) () ())) ())
#s(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))))))))) (taylor -inf x) (#s(alt (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (.f64 (/.f64 (-.f64 y (.f64 (/.f64 y t) x)) (.f64 y y)) t))) (patch (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (.f64 (/.f64 (-.f64 y (.f64 (/.f64 y t) x)) (.f64 y y)) t))) #<representation binary64>) () ())) ())
#s(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))))))))) (taylor -inf x) (#s(alt (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (.f64 (/.f64 (-.f64 y (.f64 (/.f64 y t) x)) (.f64 y y)) t))) (patch (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (.f64 (/.f64 (-.f64 y (.f64 (/.f64 y t) x)) (.f64 y y)) t))) #<representation binary64>) () ())) ())
#s(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))))))))) (taylor -inf x) (#s(alt (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (.f64 (/.f64 (-.f64 y (.f64 (/.f64 y t) x)) (.f64 y y)) t))) (patch (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (.f64 (/.f64 (-.f64 y (.f64 (/.f64 y t) x)) (.f64 y y)) t))) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt #s(approx (tanh (/ x y)) (/.f64 x y)) (patch #s(approx (tanh (/ x y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt #s(approx (tanh (/ x y)) (/.f64 x y)) (patch #s(approx (tanh (/ x y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt #s(approx (tanh (/ x y)) (/.f64 x y)) (patch #s(approx (tanh (/ x y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (taylor -inf x) (#s(alt #s(approx (tanh (/ x y)) (/.f64 x y)) (patch #s(approx (tanh (/ x y)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (* t z) x) (taylor -inf x) (#s(alt (/.f64 (.f64 t z) x) (patch (/.f64 (.f64 t z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* t z) x) (taylor -inf x) (#s(alt (/.f64 (.f64 t z) x) (patch (/.f64 (.f64 t z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* t z) x) (taylor -inf x) (#s(alt (/.f64 (.f64 t z) x) (patch (/.f64 (.f64 t z) x) #<representation binary64>) () ())) ())
#s(alt (/ (* t z) x) (taylor -inf x) (#s(alt (/.f64 (.f64 t z) x) (patch (/.f64 (.f64 t z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(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))))))) (taylor -inf x) (#s(alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (.f64 (/.f64 (-.f64 y (.f64 (/.f64 y t) x)) (.f64 y y)) t)) (patch #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (.f64 (/.f64 (-.f64 y (.f64 (/.f64 y t) x)) (.f64 y y)) t)) #<representation binary64>) () ())) ())
#s(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))))))) (taylor -inf x) (#s(alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (.f64 (/.f64 (-.f64 y (.f64 (/.f64 y t) x)) (.f64 y y)) t)) (patch #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (.f64 (/.f64 (-.f64 y (.f64 (/.f64 y t) x)) (.f64 y y)) t)) #<representation binary64>) () ())) ())
#s(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))))))) (taylor -inf x) (#s(alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (.f64 (/.f64 (-.f64 y (.f64 (/.f64 y t) x)) (.f64 y y)) t)) (patch #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (.f64 (/.f64 (-.f64 y (.f64 (/.f64 y t) x)) (.f64 y y)) t)) #<representation binary64>) () ())) ())
#s(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))))))) (taylor -inf x) (#s(alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (.f64 (/.f64 (-.f64 y (.f64 (/.f64 y t) x)) (.f64 y y)) t)) (patch #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (.f64 (/.f64 (-.f64 y (.f64 (/.f64 y t) x)) (.f64 y y)) t)) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
20.0ms	x	@	-inf	((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (* (- 1 z) x) (- 1 z) (+ (* (- (/ (* t z) x) z) x) x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (- (/ (* t z) x) z) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (/ (* (+ x t) (- t x)) (+ x t)) (* (+ x t) (- t x)) (* (/ (- y (* (/ y t) x)) (* y y)) t) (/ (- y (* (/ y t) x)) (* y y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (tanh (/ x y)) (/ (* t z) x) (neg x) (- (tanh (/ t y)) (tanh (/ x y))))
12.0ms	t	@	-inf	((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (* (- 1 z) x) (- 1 z) (+ (* (- (/ (* t z) x) z) x) x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (- (/ (* t z) x) z) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (/ (* (+ x t) (- t x)) (+ x t)) (* (+ x t) (- t x)) (* (/ (- y (* (/ y t) x)) (* y y)) t) (/ (- y (* (/ y t) x)) (* y y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (tanh (/ x y)) (/ (* t z) x) (neg x) (- (tanh (/ t y)) (tanh (/ x y))))
4.0ms	x	@	inf	((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (* (- 1 z) x) (- 1 z) (+ (* (- (/ (* t z) x) z) x) x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (- (/ (* t z) x) z) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (/ (* (+ x t) (- t x)) (+ x t)) (* (+ x t) (- t x)) (* (/ (- y (* (/ y t) x)) (* y y)) t) (/ (- y (* (/ y t) x)) (* y y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (tanh (/ x y)) (/ (* t z) x) (neg x) (- (tanh (/ t y)) (tanh (/ x y))))
4.0ms	z	@	-inf	((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (* (- 1 z) x) (- 1 z) (+ (* (- (/ (* t z) x) z) x) x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (- (/ (* t z) x) z) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (/ (* (+ x t) (- t x)) (+ x t)) (* (+ x t) (- t x)) (* (/ (- y (* (/ y t) x)) (* y y)) t) (/ (- y (* (/ y t) x)) (* y y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (tanh (/ x y)) (/ (* t z) x) (neg x) (- (tanh (/ t y)) (tanh (/ x y))))
4.0ms	t	@	inf	((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (* (- 1 z) x) (- 1 z) (+ (* (- (/ (* t z) x) z) x) x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (- (/ (* t z) x) z) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (/ (* (+ x t) (- t x)) (+ x t)) (* (+ x t) (- t x)) (* (/ (- y (* (/ y t) x)) (* y y)) t) (/ (- y (* (/ y t) x)) (* y y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (tanh (/ x y)) (/ (* t z) x) (neg x) (- (tanh (/ t y)) (tanh (/ x y))))

simplify310.0ms (3.4%)

Memory

46.7MiB live, 451.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	735	30151
1	2425	22684
0	9156	22082

Stop Event

1×	iter limit
1×	node limit

Counts

828 → 800

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

rewrite228.0ms (2.5%)

Memory

15.0MiB live, 418.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	401
0	82	401
1	356	369
2	2956	369
0	9033	361

Stop Event

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

Counts

24 → 339

Calls

Call 1

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

Outputs
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eval246.0ms (2.7%)

Memory: -20.7MiB live, 479.0MiB allocated
Compiler: Compiled 34 741 to 2 525 computations (92.7% saved)

prune71.0ms (0.8%)

Memory

-15.9MiB live, 148.0MiB allocated

Pruning

27 alts after pruning (22 fresh and 5 done)

	Pruned	Kept	Total
New	1 130	9	1 139
Fresh	4	13	17
Picked	4	1	5
Done	0	4	4
Total	1 138	27	1 165

Accuracy

100.0%

Counts

1 165 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.4%	(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x)
✓	98.6%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
✓	69.6%	(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
	55.3%	(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x)
	37.0%	(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (.f64 (/.f64 (fma.f64 (/.f64 y t) (neg.f64 x) y) y) (/.f64 t y))) z) y x)
	37.8%	(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (.f64 (/.f64 (fma.f64 (/.f64 y t) (neg.f64 x) y) y) (/.f64 t y))) y) z x)
	59.1%	(fma.f64 (*.f64 z y) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) x)
	32.0%	(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (/.f64 y x) (.f64 (/.f64 y t) #s(literal 1 binary64))) (.f64 (/.f64 y t) (/.f64 y x))))))
	13.4%	(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 y (.f64 (.f64 (/.f64 y t) y) t)) (.f64 (.f64 (/.f64 y t) y) (.f64 x y))) (.f64 (.f64 (/.f64 y t) y) (.f64 (.f64 (/.f64 y t) y) t))))))
	48.9%	(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
	47.2%	(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (-.f64 (/.f64 y (*.f64 (/.f64 y t) y)) (/.f64 x y)))))
✓	25.1%	(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (.f64 (/.f64 (-.f64 y (.f64 (/.f64 y t) x)) (*.f64 y y)) t))))
	59.1%	(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (.f64 #s(approx (/ (- y ( (/ y t) x)) (* y y)) (/.f64 #s(literal 1 binary64) y)) t))))
	44.3%	(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (/.f64 (.f64 (.f64 (+.f64 x t) (-.f64 t x)) z) (+.f64 x t))))
	61.0%	(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (* (- t x) z) (*.f64 t z))))
	31.1%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (.f64 (.f64 (+.f64 x t) (-.f64 x t)) (-.f64 t x)) (*.f64 (-.f64 x t) (+.f64 x t))) z x))
	34.9%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (.f64 (.f64 (+.f64 x t) (-.f64 t x)) z) (*.f64 (+.f64 x t) (-.f64 x t))) (-.f64 x t) x))
✓	62.5%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
	54.9%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (/ (* (+ x t) (- t x)) (+ x t)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x t)) t)) z x))
	56.3%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (/ (* (+ x t) (- t x)) (+ x t)) (neg.f64 x)) z x))
	30.3%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (/.f64 (-.f64 (pow.f64 (.f64 #s(approx ( (+ x t) (- t x)) (.f64 (neg.f64 x) x)) (/.f64 z (+.f64 x t))) #s(literal 2 binary64)) (.f64 x x)) (fma.f64 (/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 (neg.f64 x) x)) (+.f64 x t)) z (neg.f64 x))))
	58.6%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (fma.f64 #s(approx (- (/ (* t z) x) z) (/.f64 (*.f64 t z) x)) x x)))
	24.2%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (*.f64 (-.f64 t x) z)))
	13.2%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)))
	62.9%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)))
	44.5%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) #s(approx (* (- 1 z) x) (*.f64 (-.f64 (/.f64 x z) x) z))))
✓	15.1%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))

Compiler

Compiled 1 190 to 556 computations (53.3% saved)

regimes149.0ms (1.6%)

Memory

-14.3MiB live, 140.4MiB allocated

Counts

52 → 1

Calls

Call 1

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

48.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
38.0ms	y
30.0ms	x
17.0ms	t
14.0ms	z

Results

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

Compiler

Compiled 19 to 28 computations (-47.4% saved)

regimes76.0ms (0.8%)

Memory

24.3MiB live, 137.0MiB allocated

Counts

50 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

17.0ms	t
15.0ms	x
15.0ms	z
13.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
13.0ms	y

Results

Accuracy	Segments	Branch
82.8%	3	`x`
81.0%	2	`y`
75.3%	3	`z`
78.5%	3	`t`
82.1%	4	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`

Compiler

Compiled 19 to 28 computations (-47.4% saved)

regimes37.0ms (0.4%)

Memory

-31.1MiB live, 27.3MiB allocated

Counts

44 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

23.0ms	y
12.0ms	x

Results

Accuracy	Segments	Branch
81.0%	2	`y`
69.6%	1	`x`

Compiler

Compiled 2 to 8 computations (-300% saved)

regimes14.0ms (0.2%)

Memory

15.2MiB live, 15.2MiB allocated

Counts

43 → 2

Calls

Call 1

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

Outputs

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

#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
79.1%	2	`y`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes28.0ms (0.3%)

Memory

-17.2MiB live, 19.8MiB allocated

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

16.0ms	z
4.0ms	t
4.0ms	y
4.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

Results

Accuracy	Segments	Branch
68.8%	3	`z`
66.7%	3	`t`
74.7%	3	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`
72.8%	2	`y`

Compiler

Compiled 18 to 24 computations (-33.3% saved)

regimes7.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
62.9%	1	`x`
69.8%	2	`y`
69.8%	3	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`

Compiler

Compiled 17 to 20 computations (-17.6% saved)

regimes4.0ms (0%)

Memory

8.4MiB live, 8.4MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
69.8%	3	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`
62.9%	1	`y`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes11.0ms (0.1%)

Memory

-20.7MiB live, 15.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	x
1.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
1.0ms	y
1.0ms	t
1.0ms	z

Results

Accuracy	Segments	Branch
15.1%	1	`y`
15.1%	1	`x`
15.1%	1	`t`
15.1%	1	`z`
15.1%	1	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`

Compiler

Compiled 19 to 28 computations (-47.4% saved)

bsearch33.0ms (0.4%)

Memory

6.8MiB live, 41.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.5740088109877333e+65	1.2224586790799107e+66
15.0ms	-9.862295689792026e+46	-1.912142763005725e+43

Samples

20.0ms	215×	0	valid
2.0ms	9×	1	valid

Compiler

Compiled 298 to 327 computations (-9.7% saved)

Precisions

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

ival-div: 3.0ms (26.3% of total)

ival-mult: 3.0ms (26.3% of total)

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

ival-sub: 1.0ms (8.8% of total)

ival-add: 1.0ms (8.8% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch15.0ms (0.2%)

Memory

25.8MiB live, 25.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.797985337649381e-100	5.220570058235444e-98

Samples

8.0ms	110×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 158 to 173 computations (-9.5% saved)

Precisions

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

ival-div: 2.0ms (35.9% of total)

ival-mult: 2.0ms (35.9% of total)

ival-add: 1.0ms (17.9% of total)

ival-sub: 1.0ms (17.9% of total)

ival-tanh: 1.0ms (17.9% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch25.0ms (0.3%)

Memory

-24.3MiB live, 21.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	6.835821277871139e+62	1.6643348866614343e+68

Samples

16.0ms	142×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 135 to 181 computations (-34.1% saved)

Precisions

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

ival-tanh: 7.0ms (55.1% of total)

ival-div: 2.0ms (15.7% of total)

ival-mult: 2.0ms (15.7% of total)

ival-sub: 1.0ms (7.9% of total)

ival-add: 1.0ms (7.9% 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

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.0080980981534494e+304	+inf
0.0ms	-inf	-9.050058656043116e+305

Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch7.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	6.835821277871139e+62	1.6643348866614343e+68

Samples

4.0ms

48×

valid

Compiler

Compiled 135 to 199 computations (-47.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (43.9% of total)

ival-mult: 1.0ms (43.9% of total)

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

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

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

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

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

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.0080980981534494e+304	+inf
0.0ms	-inf	-9.050058656043116e+305

Compiler

Compiled 18 to 19 computations (-5.6% saved)

simplify31.0ms (0.3%)

Memory

-16.3MiB live, 59.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	605
1	102	605
2	116	605
3	124	605
4	128	605

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 x #s(literal -2750000000000000044517032360265778635441438720 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 165000000000000011556128141879941534049974128698770824325394071552 binary64)) (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)))))
(if (<=.f64 y #s(literal 5417775852004241/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) (fma.f64 (.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x))
(if (<=.f64 y #s(literal 15000000000000001050557103807267412186361284427160984029581279232 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)))
(if (<=.f64 (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal -inf.0 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (.f64 (-.f64 t x) z))) (if (<=.f64 (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 39999999999999997570142100221458487440161148880469299812763086285292818252052935611373237029762030993747424472224648690314868774970544122120943195363467531099949205766728044164270841012649763623374879210194206396306558730203287330638196449078431799221384139674650289625630417523383839448299617392552574976 binary64)) #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))))
(if (<=.f64 y #s(literal 19599999999999998722538313281458793580830248325963810155895193600 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))))
(if (<=.f64 (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal -inf.0 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (.f64 t z))) (if (<=.f64 (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 39999999999999997570142100221458487440161148880469299812763086285292818252052935611373237029762030993747424472224648690314868774970544122120943195363467531099949205766728044164270841012649763623374879210194206396306558730203287330638196449078431799221384139674650289625630417523383839448299617392552574976 binary64)) #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))

Outputs
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
(if (<=.f64 x #s(literal -2750000000000000044517032360265778635441438720 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 165000000000000011556128141879941534049974128698770824325394071552 binary64)) (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) y) z x) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)))))
(if (<=.f64 y #s(literal 5417775852004241/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) (fma.f64 (.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x))
(if (<=.f64 y #s(literal 15000000000000001050557103807267412186361284427160984029581279232 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)))
(if (<=.f64 (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal -inf.0 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (.f64 (-.f64 t x) z))) (if (<=.f64 (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 39999999999999997570142100221458487440161148880469299812763086285292818252052935611373237029762030993747424472224648690314868774970544122120943195363467531099949205766728044164270841012649763623374879210194206396306558730203287330638196449078431799221384139674650289625630417523383839448299617392552574976 binary64)) #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))))
(if (<=.f64 (+.f64 (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) #s(literal -inf.0 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (.f64 (-.f64 t x) z))) (if (<=.f64 (+.f64 (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) #s(literal 39999999999999997570142100221458487440161148880469299812763086285292818252052935611373237029762030993747424472224648690314868774970544122120943195363467531099949205766728044164270841012649763623374879210194206396306558730203287330638196449078431799221384139674650289625630417523383839448299617392552574976 binary64)) #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))))
(if (<=.f64 y #s(literal 19599999999999998722538313281458793580830248325963810155895193600 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))))
(if (<=.f64 (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal -inf.0 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (.f64 t z))) (if (<=.f64 (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 39999999999999997570142100221458487440161148880469299812763086285292818252052935611373237029762030993747424472224648690314868774970544122120943195363467531099949205766728044164270841012649763623374879210194206396306558730203287330638196449078431799221384139674650289625630417523383839448299617392552574976 binary64)) #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))))
(if (<=.f64 (+.f64 (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) #s(literal -inf.0 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (.f64 z t))) (if (<=.f64 (+.f64 (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) #s(literal 39999999999999997570142100221458487440161148880469299812763086285292818252052935611373237029762030993747424472224648690314868774970544122120943195363467531099949205766728044164270841012649763623374879210194206396306558730203287330638196449078431799221384139674650289625630417523383839448299617392552574976 binary64)) #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t)))

soundness1.0s (11.5%)

Memory

25.0MiB live, 806.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	642	37580
1	2144	27811
0	8555	27140
0	495	10076
1	1678	7475
2	7001	7473
0	8025	7285
0	735	30151
1	2425	22684
0	9156	22082
0	699	34693
1	2313	25847
0	9029	25199
0	34	238
0	54	237
1	230	237
2	1920	237
0	8090	235
0	12	48
0	20	48
1	99	48
2	871	48
0	8208	47

Stop Event

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

Compiler

Compiled 470 to 321 computations (31.7% saved)

preprocess92.0ms (1%)

Memory: 20.4MiB live, 136.3MiB allocated
Remove: (abs y)
Compiler: Compiled 554 to 218 computations (60.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze110.0ms (1.2%)

sample1.2s (13.6%)

explain203.0ms (2.2%)

preprocess323.0ms (3.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify369.0ms (4.1%)

localize254.0ms (2.8%)

series149.0ms (1.6%)

simplify218.0ms (2.4%)

rewrite243.0ms (2.7%)

eval154.0ms (1.7%)

prune17.0ms (0.2%)

simplify116.0ms (1.3%)

localize143.0ms (1.6%)

series108.0ms (1.2%)

simplify277.0ms (3%)

rewrite159.0ms (1.7%)

eval533.0ms (5.8%)

prune49.0ms (0.5%)

simplify146.0ms (1.6%)

localize111.0ms (1.2%)

series103.0ms (1.1%)

simplify357.0ms (3.9%)

rewrite227.0ms (2.5%)

eval356.0ms (3.9%)

prune162.0ms (1.8%)

simplify262.0ms (2.9%)

localize149.0ms (1.6%)

series136.0ms (1.5%)

simplify310.0ms (3.4%)

rewrite228.0ms (2.5%)

eval246.0ms (2.7%)

prune71.0ms (0.8%)

regimes149.0ms (1.6%)

regimes76.0ms (0.8%)

regimes37.0ms (0.4%)

regimes14.0ms (0.2%)

regimes28.0ms (0.3%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

regimes11.0ms (0.1%)

bsearch33.0ms (0.4%)

bsearch15.0ms (0.2%)

bsearch25.0ms (0.3%)

bsearch1.0ms (0%)

bsearch7.0ms (0.1%)

bsearch0.0ms (0%)

simplify31.0ms (0.3%)

soundness1.0s (11.5%)

preprocess92.0ms (1%)

end0.0ms (0%)

Profiling