Metrics for SynthBasics:moogVCF from YampaSynth-0.2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze106.0ms (1.1%)

Memory

-35.7MiB live, 83.6MiB 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)

sample1.3s (13.4%)

Memory

32.7MiB live, 1 409.3MiB allocated

Samples

892.0ms	8 100×	0	valid
27.0ms	156×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 556.0ms

ival-div: 151.0ms (27.2% of total)

ival-mult: 126.0ms (22.7% of total)

ival-sub: 114.0ms (20.5% of total)

ival-tanh: 91.0ms (16.4% of total)

ival-add: 60.0ms (10.8% of total)

ival-true: 6.0ms (1.1% of total)

ival-assert: 4.0ms (0.7% of total)

adjust: 3.0ms (0.5% of total)

Bogosity

explain222.0ms (2.2%)

Memory

9.9MiB live, 303.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
17	-	1	(-4.099032563069198e-251 2.1731454716388026e+82 2.3097147311417512e-7 -2.2855802981788885e-241)	`(.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**	7	0
`*.f64`	`(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))`	*ou**	4	0
↳	`(*.f64 y z)`	overflow	30
↳	`(/.f64 t y)`	underflow	21
↳	`(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))`	underflow	48
↳	`(tanh.f64 (/.f64 x y))`	underflow	28
↳	`(/.f64 x y)`	underflow	28
↳	`(tanh.f64 (/.f64 t y))`	underflow	21
`*.f64`	`(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))`	*nu**	3	0

Confusion

	Predicted +	Predicted -
+	14	2
-	0	240

Precision

1.0

Recall

0.875

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	14	0	2
-	0	0	240

Precision?

1.0

Recall?

0.875

Freqs

test

number	freq
0	242
1	14

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

75.0ms	68×	1	valid
45.0ms	432×	0	valid
3.0ms	12×	2	valid

Compiler

Compiled 193 to 52 computations (73.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-mult: 56.0ms (58% of total)

ival-tanh: 23.0ms (23.8% of total)

ival-div: 10.0ms (10.4% of total)

ival-sub: 3.0ms (3.1% of total)

ival-add: 3.0ms (3.1% of total)

adjust: 2.0ms (2.1% of total)

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

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

preprocess441.0ms (4.5%)

Memory

-33.3MiB live, 209.5MiB 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune19.0ms (0.2%)

Memory

32.8MiB live, 32.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.1%	(+.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)

simplify144.0ms (1.5%)

Memory

-17.4MiB live, 149.8MiB 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)

localize38.0ms (0.4%)

Memory

7.5MiB live, 45.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
accuracy	0.016288769536884032	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
accuracy	0.01953125	(tanh.f64 (/.f64 x y))
accuracy	4.067305439845042	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

Samples

22.0ms	216×	0	valid
6.0ms	34×	1	valid
1.0ms	6×	2	valid

Compiler

Compiled 118 to 26 computations (78% saved)

Precisions

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

ival-div: 4.0ms (25.1% of total)

ival-tanh: 4.0ms (25.1% of total)

ival-mult: 4.0ms (25.1% of total)

adjust: 1.0ms (6.3% of total)

ival-sub: 1.0ms (6.3% of total)

ival-add: 1.0ms (6.3% of total)

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

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

series68.0ms (0.7%)

Memory

-6.4MiB live, 112.6MiB allocated

Counts

5 → 180

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

Calls

12 calls:

Time	Variable		Point	Expression
9.0ms	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 (/ x y)))
9.0ms	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 (/ x y)))
8.0ms	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 (/ x y)))
8.0ms	x	@	-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 (/ 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 (/ x y)))

simplify481.0ms (4.9%)

Memory

3.6MiB live, 154.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	447	9354
1	1515	7627
2	6263	7212
0	9365	7079

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 176

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

rewrite390.0ms (3.9%)

Memory

25.8MiB live, 133.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 266

Calls

Call 1

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

Outputs
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eval200.0ms (2%)

Memory: 4.3MiB live, 124.9MiB allocated
Compiler: Compiled 20 145 to 1 630 computations (91.9% saved)

prune51.0ms (0.5%)

Memory

7.8MiB live, 44.4MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	437	5	442
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	438	5	443

Accuracy

100.0%

Counts

443 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.8%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
▶	89.6%	(+.f64 x (fma.f64 (.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 (.f64 (*.f64 z y) (tanh.f64 (/.f64 x y))))))
▶	65.6%	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
▶	48.3%	(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
▶	60.7%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))

Compiler

Compiled 134 to 106 computations (20.9% saved)

simplify156.0ms (1.6%)

Memory

-54.4MiB live, 207.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	304
0	61	298
1	143	294
2	368	294
3	991	294
4	3131	294
5	7917	294
0	8407	292

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

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

localize191.0ms (1.9%)

Memory

20.4MiB live, 256.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(+.f64 x (fma.f64 (.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 (.f64 (*.f64 z y) (tanh.f64 (/.f64 x y))))))
accuracy	0.01953125	(tanh.f64 (/.f64 x y))
accuracy	5.339650898474922	(fma.f64 (.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 (.f64 (*.f64 z y) (tanh.f64 (/.f64 x y)))))
accuracy	6.813378426627417	(.f64 (.f64 z y) (tanh.f64 (/.f64 x y)))
accuracy	0.0078125	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
accuracy	0.016288769536884032	(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))
accuracy	4.067305439845042	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))
accuracy	30.665429487769195	#s(approx (tanh (/ x y)) (/.f64 x y))
accuracy	0.0078125	(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
accuracy	0.015625	(/.f64 (-.f64 t x) y)
accuracy	4.067305439845042	(.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))
accuracy	42.40474155694303	#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
accuracy	0	(-.f64 t x)
accuracy	0.00390625	(fma.f64 (-.f64 t x) z x)
accuracy	25.168638312455407	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
accuracy	0.016288769536884032	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
accuracy	0.01953125	(tanh.f64 (/.f64 x y))
accuracy	1.0061519281601927	(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z)
accuracy	1.686920483456218	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)

Samples

120.0ms	216×	0	valid
34.0ms	23×	1	valid
11.0ms	17×	2	valid

Compiler

Compiled 515 to 55 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-div: 32.0ms (48.5% of total)

ival-mult: 14.0ms (21.2% of total)

ival-add: 7.0ms (10.6% of total)

ival-tanh: 5.0ms (7.6% of total)

adjust: 3.0ms (4.5% of total)

ival-sub: 3.0ms (4.5% of total)

ival-neg: 1.0ms (1.5% of total)

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

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

series145.0ms (1.5%)

Memory

-4.5MiB live, 245.6MiB allocated

Counts

21 → 792

Calls

Call 1

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

Calls

12 calls:

Time	Variable		Point	Expression
23.0ms	t	@	-inf	((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (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)))) (* 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))) (+ (* (* z y) (tanh (/ t y))) (neg (* (* z y) (tanh (/ x y))))) (+ x (+ (* (* z y) (tanh (/ t y))) (neg (* (* z y) (tanh (/ x y)))))) (* z y) (tanh (/ x y)) (/ (- t x) y) (tanh (/ x y)) (* (* z y) (tanh (/ x y))))
17.0ms	y	@	0	((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (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)))) (* 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))) (+ (* (* z y) (tanh (/ t y))) (neg (* (* z y) (tanh (/ x y))))) (+ x (+ (* (* z y) (tanh (/ t y))) (neg (* (* z y) (tanh (/ x y)))))) (* z y) (tanh (/ x y)) (/ (- t x) y) (tanh (/ x y)) (* (* z y) (tanh (/ x y))))
5.0ms	y	@	-inf	((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (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)))) (* 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))) (+ (* (* z y) (tanh (/ t y))) (neg (* (* z y) (tanh (/ x y))))) (+ x (+ (* (* z y) (tanh (/ t y))) (neg (* (* z y) (tanh (/ x y)))))) (* z y) (tanh (/ x y)) (/ (- t x) y) (tanh (/ x y)) (* (* z y) (tanh (/ x y))))
5.0ms	z	@	-inf	((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (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)))) (* 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))) (+ (* (* z y) (tanh (/ t y))) (neg (* (* z y) (tanh (/ x y))))) (+ x (+ (* (* z y) (tanh (/ t y))) (neg (* (* z y) (tanh (/ x y)))))) (* z y) (tanh (/ x y)) (/ (- t x) y) (tanh (/ x y)) (* (* z y) (tanh (/ x y))))
5.0ms	y	@	inf	((+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (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)))) (* 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))) (+ (* (* z y) (tanh (/ t y))) (neg (* (* z y) (tanh (/ x y))))) (+ x (+ (* (* z y) (tanh (/ t y))) (neg (* (* z y) (tanh (/ x y)))))) (* z y) (tanh (/ x y)) (/ (- t x) y) (tanh (/ x y)) (* (* z y) (tanh (/ x y))))

simplify293.0ms (3%)

Memory

1.4MiB live, 429.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	823	38057
1	2766	28886
0	9279	28224

Stop Event

1×	iter limit
1×	node limit

Counts

792 → 768

Calls

Call 1

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

rewrite244.0ms (2.5%)

Memory

10.6MiB live, 238.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	240
0	61	234
1	271	230
2	2336	230
0	8283	228

Stop Event

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

Counts

21 → 636

Calls

Call 1

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

Outputs
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eval553.0ms (5.6%)

Memory: -22.1MiB live, 479.5MiB allocated
Compiler: Compiled 61 438 to 3 789 computations (93.8% saved)

prune62.0ms (0.6%)

Memory

-3.4MiB live, 162.3MiB allocated

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	1 611	24	1 635
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	1 614	26	1 640

Accuracy

100.0%

Counts

1 640 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.6%	(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 z y) x)
✓	95.8%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
▶	65.5%	(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
	49.5%	(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x)
	50.7%	(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x)
	46.5%	(+.f64 x (fma.f64 (.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx ( (* z y) (tanh (/ x y))) (.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 (.f64 (*.f64 x x) z) y) z) x)))))
▶	69.5%	(+.f64 x (fma.f64 (.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx ( (* z y) (tanh (/ x y))) (*.f64 z x)))))
	33.6%	(+.f64 x (.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (.f64 (fma.f64 (/.f64 (.f64 t t) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y)) t)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
	27.7%	(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 t y) (.f64 y x)) (*.f64 y y)))))
	30.5%	(+.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)))))
	29.1%	(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (.f64 (+.f64 x t) (-.f64 t x)) (.f64 y (+.f64 x t))))))
	43.3%	(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
	48.3%	(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))))
	22.4%	(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 t x))) #s(literal -1 binary64))))))
	57.5%	(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
	41.8%	(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 x t) y)) t)))))
	30.2%	#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))
	43.1%	#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))
▶	43.1%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) z x))
✓	60.7%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
	52.0%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
▶	57.5%	#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)))
	48.3%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 (+.f64 (/.f64 x z) t) x) z)))
	25.0%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
	52.0%	#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)))
▶	16.2%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))

Compiler

Compiled 735 to 580 computations (21.1% saved)

simplify145.0ms (1.5%)

Memory

28.0MiB live, 257.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	366
0	74	350
1	160	336
2	397	330
3	1266	330
4	4887	314
0	8484	310

Stop Event

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

Calls

Call 1

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

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

localize164.0ms (1.7%)

Memory

1.8MiB live, 236.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(tanh.f64 (/.f64 x y))
accuracy	1.0061519281601927	(*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z)
accuracy	1.686920483456218	(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
accuracy	30.75150235798733	#s(approx (tanh (/ t y)) (/.f64 t y))
accuracy	0.00390625	(*.f64 (+.f64 x t) (-.f64 t x))
accuracy	0.18359375	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x))))
accuracy	24.944298917070284	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) z x))
accuracy	27.439535465695286	(/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))
accuracy	0.00390625	(-.f64 (/.f64 (*.f64 t z) x) z)
accuracy	3.8860985353225845	(/.f64 (*.f64 t z) x)
accuracy	5.6906907954175034	(fma.f64 (-.f64 (/.f64 (*.f64 t z) x) z) x x)
accuracy	24.944298917070284	#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)))
accuracy	0	(*.f64 t z)
accuracy	24.944298917070284	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
accuracy	38.877185252227534	#s(approx (+ (* (- t x) z) x) (*.f64 t z))
accuracy	0.00390625	(tanh.f64 (/.f64 t y))
accuracy	0.0078125	(+.f64 x (fma.f64 (.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx ( (* z y) (tanh (/ x y))) (*.f64 z x)))))
accuracy	5.0935585245041075	(fma.f64 (.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx ( (* z y) (tanh (/ x y))) (*.f64 z x))))
accuracy	26.70453316549213	#s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x))

Samples

64.0ms	216×	0	valid
16.0ms	17×	2	valid
11.0ms	22×	1	valid
1.0ms	1×	4	exit

Compiler

Compiled 523 to 73 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 29.0ms (45.2% of total)

ival-div: 10.0ms (15.6% of total)

ival-add: 10.0ms (15.6% of total)

ival-sub: 5.0ms (7.8% of total)

adjust: 4.0ms (6.2% of total)

ival-tanh: 4.0ms (6.2% of total)

ival-neg: 1.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series101.0ms (1%)

Memory

-41.7MiB live, 143.6MiB allocated

Counts

23 → 816

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
14.0ms	y	@	inf	((+ x (+ (* (* z y) (tanh (/ t y))) (neg (* (* z y) (tanh (/ x y)))))) (+ (* (* z y) (tanh (/ t y))) (neg (* (* z y) (tanh (/ x y))))) (* z y) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* t z) (+ (* (- (/ (* t z) x) z) x) x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- (/ (* t z) x) z) (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) (/ (+ x t) (* (+ x t) (- t x))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) z) x) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (* (* z y) (tanh (/ x y))) (/ (* t z) x) (* (+ x t) (- t x)) (tanh (/ x y)))
10.0ms	t	@	-inf	((+ x (+ (* (* z y) (tanh (/ t y))) (neg (* (* z y) (tanh (/ x y)))))) (+ (* (* z y) (tanh (/ t y))) (neg (* (* z y) (tanh (/ x y))))) (* z y) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* t z) (+ (* (- (/ (* t z) x) z) x) x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- (/ (* t z) x) z) (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) (/ (+ x t) (* (+ x t) (- t x))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) z) x) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (* (* z y) (tanh (/ x y))) (/ (* t z) x) (* (+ x t) (- t x)) (tanh (/ x y)))
7.0ms	t	@	inf	((+ x (+ (* (* z y) (tanh (/ t y))) (neg (* (* z y) (tanh (/ x y)))))) (+ (* (* z y) (tanh (/ t y))) (neg (* (* z y) (tanh (/ x y))))) (* z y) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* t z) (+ (* (- (/ (* t z) x) z) x) x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- (/ (* t z) x) z) (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) (/ (+ x t) (* (+ x t) (- t x))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) z) x) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (* (* z y) (tanh (/ x y))) (/ (* t z) x) (* (+ x t) (- t x)) (tanh (/ x y)))
5.0ms	z	@	-inf	((+ x (+ (* (* z y) (tanh (/ t y))) (neg (* (* z y) (tanh (/ x y)))))) (+ (* (* z y) (tanh (/ t y))) (neg (* (* z y) (tanh (/ x y))))) (* z y) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* t z) (+ (* (- (/ (* t z) x) z) x) x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- (/ (* t z) x) z) (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) (/ (+ x t) (* (+ x t) (- t x))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) z) x) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (* (* z y) (tanh (/ x y))) (/ (* t z) x) (* (+ x t) (- t x)) (tanh (/ x y)))
4.0ms	x	@	-inf	((+ x (+ (* (* z y) (tanh (/ t y))) (neg (* (* z y) (tanh (/ x y)))))) (+ (* (* z y) (tanh (/ t y))) (neg (* (* z y) (tanh (/ x y))))) (* z y) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (* t z) (+ (* (- (/ (* t z) x) z) x) x) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (- t x) z) x) (- (/ (* t z) x) z) (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) (/ (+ x t) (* (+ x t) (- t x))) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) z) x) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x) (* (- (tanh (/ t y)) (tanh (/ x y))) z) (- (tanh (/ t y)) (tanh (/ x y))) (tanh (/ t y)) (* (* z y) (tanh (/ x y))) (/ (* t z) x) (* (+ x t) (- t x)) (tanh (/ x y)))

simplify274.0ms (2.8%)

Memory

-7.7MiB live, 391.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	969	28699
1	3231	25180
0	8810	24530

Stop Event

1×	iter limit
1×	node limit

Counts

816 → 789

Calls

Call 1

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

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

rewrite241.0ms (2.4%)

Memory

19.6MiB live, 181.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	315
0	74	315
1	318	275
2	2767	275
0	8702	271

Stop Event

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

Counts

23 → 391

Calls

Call 1

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

Outputs
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eval367.0ms (3.7%)

Memory: 0.7MiB live, 259.4MiB allocated
Compiler: Compiled 38 589 to 2 861 computations (92.6% saved)

prune117.0ms (1.2%)

Memory

15.8MiB live, 138.3MiB allocated

Pruning

32 alts after pruning (28 fresh and 4 done)

	Pruned	Kept	Total
New	1 185	21	1 206
Fresh	12	7	19
Picked	3	2	5
Done	0	2	2
Total	1 200	32	1 232

Accuracy

100.0%

Counts

1 232 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.8%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
✓	65.5%	(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
	49.5%	(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x)
▶	50.7%	(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x)
	69.5%	(-.f64 (fma.f64 (tanh.f64 (/.f64 t y)) (.f64 y z) x) #s(approx ( (* z y) (tanh (/ x y))) (*.f64 z x)))
▶	74.5%	(+.f64 x (fma.f64 (.f64 (tanh.f64 (/.f64 t y)) z) y (neg.f64 #s(approx ( (* z y) (tanh (/ x y))) (*.f64 z x)))))
	27.7%	(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 t y) (.f64 y x)) (*.f64 y y)))))
	30.5%	(+.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)))))
	43.3%	(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
	57.5%	(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
▶	41.8%	(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 x t) y)) t)))))
▶	43.1%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (-.f64 t x) (+.f64 t x)) (+.f64 t x)) z x))
	40.6%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 z (+.f64 t x)) (*.f64 (-.f64 t x) (+.f64 t x)) x))
	39.3%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) #s(approx (* (+ x t) (- t x)) (*.f64 (neg.f64 x) x)))) z x))
	56.3%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) #s(approx (* (+ x t) (- t x)) (*.f64 t t)))) z x))
	54.4%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 t)) (*.f64 x x)) t) #s(literal -1 binary64) x) t) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 t)))) z x))
	65.2%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (*.f64 x x) t) x) t) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 t)))) z x))
	54.7%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 x t) (/.f64 x t) (+.f64 (/.f64 x t) #s(literal 1 binary64))) t))) z x))
	54.0%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x))) z x))
	52.7%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) x) (*.f64 t t)) (neg.f64 x)) t) x)) (neg.f64 x)))) z x))
	57.0%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 t t) x) t)) x)) (neg.f64 x)))) z x))
	54.7%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (neg.f64 (fma.f64 (/.f64 t x) (/.f64 t x) (+.f64 (/.f64 t x) #s(literal 1 binary64)))) x))) z x))
	60.0%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 #s(literal 1 binary64) t))) z x))
	52.0%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 #s(literal -1 binary64) x))) z x))
✓	60.7%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
	52.0%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) (neg.f64 x)) z x))
	54.5%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) z) x) (*.f64 (fma.f64 t (/.f64 z x) (-.f64 #s(literal 1 binary64) z)) x)))
	25.0%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) z) x) (*.f64 (-.f64 t x) z)))
▶	52.0%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
	57.5%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 t z))) z) x x)))
	56.9%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 #s(approx (- (/ (* t z) x) z) (/.f64 (*.f64 t z) x)) x x)))
✓	16.2%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))

Compiler

Compiled 900 to 724 computations (19.6% saved)

simplify198.0ms (2%)

Memory

-2.6MiB live, 149.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	444
0	84	430
1	189	396
2	468	392
3	1361	392
4	5180	368
0	8290	364

Stop Event

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

Calls

Call 1

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

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

localize353.0ms (3.6%)

Memory

-10.6MiB live, 243.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	4.067305439845042	(.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 x t) y)) t))))
accuracy	4.630317913267509	(/.f64 (/.f64 x t) y)
accuracy	5.838481624177631	(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 x t) y)) t)
accuracy	42.40474155694303	#s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 x t) y)) t)))
accuracy	0.00390625	(fma.f64 (/.f64 (*.f64 (-.f64 t x) (+.f64 t x)) (+.f64 t x)) z x)
accuracy	0.00390625	(*.f64 (-.f64 t x) (+.f64 t x))
accuracy	25.168638312455407	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (-.f64 t x) (+.f64 t x)) (+.f64 t x)) z x))
accuracy	27.576584970984193	(/.f64 (*.f64 (-.f64 t x) (+.f64 t x)) (+.f64 t x))
accuracy	0.00390625	(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x)
accuracy	0.015625	(/.f64 (-.f64 t x) y)
accuracy	2.1450293323254117	(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y)
accuracy	42.40474155694303	#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
accuracy	0	(-.f64 #s(literal 1 binary64) z)
accuracy	0.0234375	(*.f64 (-.f64 #s(literal 1 binary64) z) x)
accuracy	22.962338535755528	#s(approx (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
accuracy	25.168638312455407	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
accuracy	0.0078125	(+.f64 x (fma.f64 (.f64 (tanh.f64 (/.f64 t y)) z) y (neg.f64 #s(approx ( (* z y) (tanh (/ x y))) (*.f64 z x)))))
accuracy	2.0524745321295317	(*.f64 (tanh.f64 (/.f64 t y)) z)
accuracy	9.98473387925531	(fma.f64 (.f64 (tanh.f64 (/.f64 t y)) z) y (neg.f64 #s(approx ( (* z y) (tanh (/ x y))) (*.f64 z x))))
accuracy	26.70453316549213	#s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x))

Samples

169.0ms	216×	0	valid
97.0ms	34×	1	valid
5.0ms	6×	2	valid

Compiler

Compiled 579 to 83 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 191.0ms

ival-mult: 103.0ms (54% of total)

ival-div: 43.0ms (22.6% of total)

ival-tanh: 24.0ms (12.6% of total)

ival-add: 10.0ms (5.2% of total)

ival-sub: 5.0ms (2.6% of total)

adjust: 4.0ms (2.1% of total)

ival-neg: 1.0ms (0.5% of total)

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

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

exact: 0.0ms (0% of total)

series199.0ms (2%)

Memory

31.5MiB live, 141.1MiB allocated

Counts

23 → 828

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
54.0ms	y	@	0	((+ x (+ (* (* (tanh (/ t y)) z) y) (neg (* (* z y) (tanh (/ x y)))))) (+ (* (* (tanh (/ t y)) z) y) (neg (* (* z y) (tanh (/ x y))))) (* (tanh (/ t y)) z) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) z) x) (* (- 1 z) x) (- 1 z) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (/ (* (- t x) (+ t x)) (+ t x)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ (* (- t x) (+ t x)) (+ t x)) z) x) (* (- t x) (+ t x)) (* (- (/ 1 y) (/ (/ x t) y)) t) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (* (* z y) (tanh (/ x y))) (- (tanh (/ t y)) (tanh (/ x y))) (/ (/ x t) y))
5.0ms	x	@	-inf	((+ x (+ (* (* (tanh (/ t y)) z) y) (neg (* (* z y) (tanh (/ x y)))))) (+ (* (* (tanh (/ t y)) z) y) (neg (* (* z y) (tanh (/ x y))))) (* (tanh (/ t y)) z) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) z) x) (* (- 1 z) x) (- 1 z) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (/ (* (- t x) (+ t x)) (+ t x)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ (* (- t x) (+ t x)) (+ t x)) z) x) (* (- t x) (+ t x)) (* (- (/ 1 y) (/ (/ x t) y)) t) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (* (* z y) (tanh (/ x y))) (- (tanh (/ t y)) (tanh (/ x y))) (/ (/ x t) y))
5.0ms	y	@	-inf	((+ x (+ (* (* (tanh (/ t y)) z) y) (neg (* (* z y) (tanh (/ x y)))))) (+ (* (* (tanh (/ t y)) z) y) (neg (* (* z y) (tanh (/ x y))))) (* (tanh (/ t y)) z) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) z) x) (* (- 1 z) x) (- 1 z) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (/ (* (- t x) (+ t x)) (+ t x)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ (* (- t x) (+ t x)) (+ t x)) z) x) (* (- t x) (+ t x)) (* (- (/ 1 y) (/ (/ x t) y)) t) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (* (* z y) (tanh (/ x y))) (- (tanh (/ t y)) (tanh (/ x y))) (/ (/ x t) y))
5.0ms	x	@	inf	((+ x (+ (* (* (tanh (/ t y)) z) y) (neg (* (* z y) (tanh (/ x y)))))) (+ (* (* (tanh (/ t y)) z) y) (neg (* (* z y) (tanh (/ x y))))) (* (tanh (/ t y)) z) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) z) x) (* (- 1 z) x) (- 1 z) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (/ (* (- t x) (+ t x)) (+ t x)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ (* (- t x) (+ t x)) (+ t x)) z) x) (* (- t x) (+ t x)) (* (- (/ 1 y) (/ (/ x t) y)) t) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (* (* z y) (tanh (/ x y))) (- (tanh (/ t y)) (tanh (/ x y))) (/ (/ x t) y))
5.0ms	t	@	-inf	((+ x (+ (* (* (tanh (/ t y)) z) y) (neg (* (* z y) (tanh (/ x y)))))) (+ (* (* (tanh (/ t y)) z) y) (neg (* (* z y) (tanh (/ x y))))) (* (tanh (/ t y)) z) (tanh (/ t y)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) z) x) (* (- 1 z) x) (- 1 z) (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x) (* (- (tanh (/ t y)) (tanh (/ x y))) y) (- (tanh (/ t y)) (tanh (/ x y))) (/ (- t x) y) (/ (* (- t x) (+ t x)) (+ t x)) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (+ (* (/ (* (- t x) (+ t x)) (+ t x)) z) x) (* (- t x) (+ t x)) (* (- (/ 1 y) (/ (/ x t) y)) t) (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (* y z) (* (* z y) (tanh (/ x y))) (- (tanh (/ t y)) (tanh (/ x y))) (/ (/ x t) y))

simplify343.0ms (3.5%)

Memory

-12.8MiB live, 414.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	899	32729
1	2979	26791
0	8934	26131

Stop Event

1×	iter limit
1×	node limit

Counts

828 → 802

Calls

Call 1

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

rewrite211.0ms (2.1%)

Memory

27.8MiB live, 335.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	365
0	84	351
1	388	311
2	3374	311
0	8353	307

Stop Event

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

Counts

23 → 576

Calls

Call 1

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

Outputs
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eval212.0ms (2.1%)

Memory: -10.0MiB live, 450.2MiB allocated
Compiler: Compiled 44 646 to 3 676 computations (91.8% saved)

prune106.0ms (1.1%)

Memory

-31.7MiB live, 168.9MiB allocated

Pruning

29 alts after pruning (23 fresh and 6 done)

	Pruned	Kept	Total
New	1 368	10	1 378
Fresh	10	13	23
Picked	3	2	5
Done	0	4	4
Total	1 381	29	1 410

Accuracy

100.0%

Counts

1 410 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.8%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
✓	65.5%	(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
	31.5%	(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 y (.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))) y) z x)
	49.5%	(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x)
	50.7%	(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (.f64 (neg.f64 (-.f64 t x)) (/.f64 #s(literal -1 binary64) y))) y) z x)
	57.0%	(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x)
	42.9%	(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x t)) y) t))) z) y x)
	69.5%	(-.f64 (fma.f64 (.f64 z y) (tanh.f64 (/.f64 t y)) x) #s(approx ( (* z y) (tanh (/ x y))) (*.f64 z x)))
✓	74.5%	(+.f64 x (fma.f64 (.f64 (tanh.f64 (/.f64 t y)) z) y (neg.f64 #s(approx ( (* z y) (tanh (/ x y))) (*.f64 z x)))))
	27.7%	(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 t y) (.f64 y x)) (*.f64 y y)))))
	43.3%	(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
	57.5%	(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
	56.3%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (* (- t x) (+ t x)) (*.f64 t t)) (+.f64 t x)) z x))
	40.6%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 z (+.f64 t x)) (*.f64 (-.f64 t x) (+.f64 t x)) x))
	56.3%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) #s(approx (* (+ x t) (- t x)) (*.f64 t t)))) z x))
	65.2%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (*.f64 x x) t) x) t) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 t)))) z x))
	54.7%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 x t) (/.f64 x t) (+.f64 (/.f64 x t) #s(literal 1 binary64))) t))) z x))
	57.0%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 t t) x) t)) x)) (neg.f64 x)))) z x))
	60.0%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 #s(literal 1 binary64) t))) z x))
✓	60.7%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
	25.0%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (- t x) (+ t x)) (+ t x)) z) x) (*.f64 (-.f64 t x) z)))
	54.5%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) z) x) (*.f64 (fma.f64 t (/.f64 z x) (-.f64 #s(literal 1 binary64) z)) x)))
✓	52.0%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
	12.3%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) z) x) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)))
	60.9%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)))
	39.6%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) z) x) #s(approx (* (- 1 z) x) (*.f64 (-.f64 (/.f64 x z) x) z))))
	57.5%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 t z))) z) x x)))
	56.9%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 #s(approx (- (/ (* t z) x) z) (/.f64 (*.f64 t z) x)) x x)))
✓	16.2%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))

Compiler

Compiled 1 250 to 637 computations (49% saved)

regimes155.0ms (1.6%)

Memory

7.3MiB live, 201.0MiB allocated

Counts

61 → 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 (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) 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 (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) 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 (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- 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 (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) z) x) (*.f64 (-.f64 t x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (- t x) (+ t x)) (+ t x)) 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 (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) (neg.f64 x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) 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 (+ (* (- t x) z) x) (*.f64 (-.f64 (+.f64 (/.f64 x z) t) x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 #s(approx (- (/ (* t z) x) z) (/.f64 (*.f64 t z) x)) x x)))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z 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 (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) z) x) (*.f64 (fma.f64 t (/.f64 z x) (-.f64 #s(literal 1 binary64) z)) x)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (* (- t x) (+ t x)) (*.f64 t t)) (+.f64 t x)) z x))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) 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))))
(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 #s(literal -1 binary64) x))) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 #s(literal 1 binary64) t))) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 z (+.f64 t x)) (*.f64 (-.f64 t x) (+.f64 t x)) x))
#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 (*.f64 (-.f64 t x) (+.f64 t x)) (+.f64 t x)) z x))
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (.f64 (neg.f64 (-.f64 t x)) (/.f64 #s(literal -1 binary64) y))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 t z))) z) x x)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) #s(approx (* (+ x t) (- t x)) (*.f64 t t)))) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) #s(approx (* (+ x t) (- t x)) (*.f64 (neg.f64 x) x)))) z x))
(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))))
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x t)) y) t))) z) y x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) z x))
(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 t y) (.f64 y x)) (*.f64 y y)))))
(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (.f64 (+.f64 x t) (-.f64 t x)) (.f64 y (+.f64 x t))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x))) z x))
(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 x t) y)) t)))))
#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 y (.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))) y) z 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 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 t t) x) t)) x)) (neg.f64 x)))) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (*.f64 x x) t) x) t) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 t)))) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 x t) (/.f64 x t) (+.f64 (/.f64 x t) #s(literal 1 binary64))) t))) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (neg.f64 (fma.f64 (/.f64 t x) (/.f64 t x) (+.f64 (/.f64 t x) #s(literal 1 binary64)))) x))) z x))
(-.f64 (fma.f64 (tanh.f64 (/.f64 t y)) (.f64 y z) x) #s(approx ( (* z y) (tanh (/ x y))) (*.f64 z x)))
(-.f64 (fma.f64 (.f64 z y) (tanh.f64 (/.f64 t y)) x) #s(approx ( (* z y) (tanh (/ x y))) (*.f64 z x)))
(+.f64 x (fma.f64 (.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx ( (* z y) (tanh (/ x y))) (*.f64 z x)))))
(+.f64 x (fma.f64 (.f64 (tanh.f64 (/.f64 t y)) z) y (neg.f64 #s(approx ( (* z y) (tanh (/ x y))) (*.f64 z x)))))
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y 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 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
(+.f64 x (.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (.f64 (fma.f64 (/.f64 (.f64 t t) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y)) t)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
(+.f64 x (fma.f64 (.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx ( (* z y) (tanh (/ x y))) (.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 (.f64 (*.f64 x x) z) y) z) x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) x) (*.f64 t t)) (neg.f64 x)) t) x)) (neg.f64 x)))) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 t)) (*.f64 x x)) t) #s(literal -1 binary64) x) t) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 t)))) z x))
(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 t x))) #s(literal -1 binary64))))))
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(+.f64 x (fma.f64 (.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 (.f64 (*.f64 z y) (tanh.f64 (/.f64 x y))))))

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

Calls

5 calls:

39.0ms	y
30.0ms	t
19.0ms	x
17.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
16.0ms	z

Results

Accuracy	Segments	Branch
95.8%	1	`x`
98.1%	2	`y`
95.8%	1	`z`
95.8%	1	`t`
95.8%	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)

regimes152.0ms (1.5%)

Memory

10.1MiB live, 178.7MiB allocated

Counts

58 → 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 (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) 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 (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) 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 (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- 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 (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) z) x) (*.f64 (-.f64 t x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (- t x) (+ t x)) (+ t x)) 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 (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) (neg.f64 x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) 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 (+ (* (- t x) z) x) (*.f64 (-.f64 (+.f64 (/.f64 x z) t) x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 #s(approx (- (/ (* t z) x) z) (/.f64 (*.f64 t z) x)) x x)))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z 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 (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) z) x) (*.f64 (fma.f64 t (/.f64 z x) (-.f64 #s(literal 1 binary64) z)) x)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (* (- t x) (+ t x)) (*.f64 t t)) (+.f64 t x)) z x))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) 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))))
(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 #s(literal -1 binary64) x))) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 #s(literal 1 binary64) t))) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 z (+.f64 t x)) (*.f64 (-.f64 t x) (+.f64 t x)) x))
#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 (*.f64 (-.f64 t x) (+.f64 t x)) (+.f64 t x)) z x))
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (.f64 (neg.f64 (-.f64 t x)) (/.f64 #s(literal -1 binary64) y))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 t z))) z) x x)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) #s(approx (* (+ x t) (- t x)) (*.f64 t t)))) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) #s(approx (* (+ x t) (- t x)) (*.f64 (neg.f64 x) x)))) z x))
(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))))
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x t)) y) t))) z) y x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) z x))
(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 t y) (.f64 y x)) (*.f64 y y)))))
(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (.f64 (+.f64 x t) (-.f64 t x)) (.f64 y (+.f64 x t))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x))) z x))
(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 x t) y)) t)))))
#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 y (.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))) y) z 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 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 t t) x) t)) x)) (neg.f64 x)))) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (*.f64 x x) t) x) t) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 t)))) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 x t) (/.f64 x t) (+.f64 (/.f64 x t) #s(literal 1 binary64))) t))) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (neg.f64 (fma.f64 (/.f64 t x) (/.f64 t x) (+.f64 (/.f64 t x) #s(literal 1 binary64)))) x))) z x))
(-.f64 (fma.f64 (tanh.f64 (/.f64 t y)) (.f64 y z) x) #s(approx ( (* z y) (tanh (/ x y))) (*.f64 z x)))
(-.f64 (fma.f64 (.f64 z y) (tanh.f64 (/.f64 t y)) x) #s(approx ( (* z y) (tanh (/ x y))) (*.f64 z x)))
(+.f64 x (fma.f64 (.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx ( (* z y) (tanh (/ x y))) (*.f64 z x)))))
(+.f64 x (fma.f64 (.f64 (tanh.f64 (/.f64 t y)) z) y (neg.f64 #s(approx ( (* z y) (tanh (/ x y))) (*.f64 z x)))))
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y 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 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
(+.f64 x (.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (.f64 (fma.f64 (/.f64 (.f64 t t) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y)) t)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
(+.f64 x (fma.f64 (.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx ( (* z y) (tanh (/ x y))) (.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 (.f64 (*.f64 x x) z) y) z) x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) x) (*.f64 t t)) (neg.f64 x)) t) x)) (neg.f64 x)))) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 t)) (*.f64 x x)) t) #s(literal -1 binary64) x) t) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 t)))) z x))
(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 t x))) #s(literal -1 binary64))))))

Outputs

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

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

Calls

5 calls:

53.0ms	y
38.0ms	t
25.0ms	x
18.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
15.0ms	z

Results

Accuracy	Segments	Branch
84.3%	3	`x`
80.8%	4	`z`
82.3%	3	`t`
81.5%	4	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`
86.5%	2	`y`

Compiler

Compiled 19 to 28 computations (-47.4% saved)

regimes19.0ms (0.2%)

Memory

-5.1MiB live, 38.6MiB allocated

Counts

49 → 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 (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) 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 (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) 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 (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- 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 (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) z) x) (*.f64 (-.f64 t x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (- t x) (+ t x)) (+ t x)) 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 (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) (neg.f64 x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) 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 (+ (* (- t x) z) x) (*.f64 (-.f64 (+.f64 (/.f64 x z) t) x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 #s(approx (- (/ (* t z) x) z) (/.f64 (*.f64 t z) x)) x x)))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z 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 (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) z) x) (*.f64 (fma.f64 t (/.f64 z x) (-.f64 #s(literal 1 binary64) z)) x)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (* (- t x) (+ t x)) (*.f64 t t)) (+.f64 t x)) z x))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) 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))))
(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 #s(literal -1 binary64) x))) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 #s(literal 1 binary64) t))) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 z (+.f64 t x)) (*.f64 (-.f64 t x) (+.f64 t x)) x))
#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 (*.f64 (-.f64 t x) (+.f64 t x)) (+.f64 t x)) z x))
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (.f64 (neg.f64 (-.f64 t x)) (/.f64 #s(literal -1 binary64) y))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 t z))) z) x x)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) #s(approx (* (+ x t) (- t x)) (*.f64 t t)))) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) #s(approx (* (+ x t) (- t x)) (*.f64 (neg.f64 x) x)))) z x))
(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))))
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x t)) y) t))) z) y x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) z x))
(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 t y) (.f64 y x)) (*.f64 y y)))))
(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (.f64 (+.f64 x t) (-.f64 t x)) (.f64 y (+.f64 x t))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x))) z x))
(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 x t) y)) t)))))
#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 y (.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))) y) z 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 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 t t) x) t)) x)) (neg.f64 x)))) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (*.f64 x x) t) x) t) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 t)))) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 x t) (/.f64 x t) (+.f64 (/.f64 x t) #s(literal 1 binary64))) t))) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (neg.f64 (fma.f64 (/.f64 t x) (/.f64 t x) (+.f64 (/.f64 t x) #s(literal 1 binary64)))) x))) z x))
(-.f64 (fma.f64 (tanh.f64 (/.f64 t y)) (.f64 y z) x) #s(approx ( (* z y) (tanh (/ x y))) (*.f64 z x)))
(-.f64 (fma.f64 (.f64 z y) (tanh.f64 (/.f64 t y)) x) #s(approx ( (* z y) (tanh (/ x y))) (*.f64 z x)))
(+.f64 x (fma.f64 (.f64 z y) (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx ( (* z y) (tanh (/ x y))) (*.f64 z x)))))

Outputs

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

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

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

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
84.8%	3	`y`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes45.0ms (0.5%)

Memory

-2.2MiB live, 108.6MiB allocated

Counts

46 → 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 (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) 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 (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) 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 (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- 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 (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) z) x) (*.f64 (-.f64 t x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (- t x) (+ t x)) (+ t x)) 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 (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) (neg.f64 x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) 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 (+ (* (- t x) z) x) (*.f64 (-.f64 (+.f64 (/.f64 x z) t) x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 #s(approx (- (/ (* t z) x) z) (/.f64 (*.f64 t z) x)) x x)))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z 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 (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) z) x) (*.f64 (fma.f64 t (/.f64 z x) (-.f64 #s(literal 1 binary64) z)) x)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (* (- t x) (+ t x)) (*.f64 t t)) (+.f64 t x)) z x))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) 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))))
(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 #s(literal -1 binary64) x))) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 #s(literal 1 binary64) t))) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 z (+.f64 t x)) (*.f64 (-.f64 t x) (+.f64 t x)) x))
#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 (*.f64 (-.f64 t x) (+.f64 t x)) (+.f64 t x)) z x))
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (.f64 (neg.f64 (-.f64 t x)) (/.f64 #s(literal -1 binary64) y))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 t z))) z) x x)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) #s(approx (* (+ x t) (- t x)) (*.f64 t t)))) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) #s(approx (* (+ x t) (- t x)) (*.f64 (neg.f64 x) x)))) z x))
(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))))))
(fma.f64 (.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x t)) y) t))) z) y x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x t) (*.f64 (+.f64 x t) (-.f64 t x)))) z x))
(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (.f64 t y) (.f64 y x)) (*.f64 y y)))))
(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (.f64 (+.f64 x t) (-.f64 t x)) (.f64 y (+.f64 x t))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1 binary64)) x))) z x))
(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 x t) y)) t)))))
#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 y (.f64 (/.f64 y t) x)) (*.f64 (/.f64 y t) y))) y) z 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 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 t t) x) t)) x)) (neg.f64 x)))) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (*.f64 x x) t) x) t) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 t)))) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (fma.f64 (/.f64 x t) (/.f64 x t) (+.f64 (/.f64 x t) #s(literal 1 binary64))) t))) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ x t) (* (+ x t) (- t x))) (/.f64 (neg.f64 (fma.f64 (/.f64 t x) (/.f64 t x) (+.f64 (/.f64 t x) #s(literal 1 binary64)))) x))) z x))

Outputs

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

3 calls:

15.0ms	x
14.0ms	y
14.0ms	t

Results

Accuracy	Segments	Branch
70.9%	4	`t`
69.5%	3	`x`
78.9%	2	`y`

Compiler

Compiled 3 to 12 computations (-300% saved)

regimes15.0ms (0.2%)

Memory

-12.4MiB live, 37.6MiB 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 (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) 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 (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) 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 (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- 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 (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) z) x) (*.f64 (-.f64 t x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (- t x) (+ t x)) (+ t x)) 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 (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) (neg.f64 x)) z x))

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 (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) 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

3 calls:

7.0ms	z
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
68.4%	3	`z`
71.5%	3	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`
69.9%	3	`y`

Compiler

Compiled 17 to 20 computations (-17.6% saved)

regimes9.0ms (0.1%)

Memory

28.3MiB live, 28.3MiB 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 (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) 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 (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) 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 (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) 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

4 calls:

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

Results

Accuracy	Segments	Branch
60.9%	1	`t`
60.9%	1	`x`
67.5%	2	`y`
67.4%	3	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`

Compiler

Compiled 18 to 24 computations (-33.3% saved)

regimes8.0ms (0.1%)

Memory

-19.0MiB live, 19.3MiB 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 (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) 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 (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) 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 (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) z) x) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)))

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

Calls

3 calls:

3.0ms	y
2.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
2.0ms	z

Results

Accuracy	Segments	Branch
67.4%	3	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`
64.0%	2	`z`
60.9%	1	`y`

Compiler

Compiled 17 to 20 computations (-17.6% saved)

regimes4.0ms (0%)

Memory

11.3MiB live, 11.3MiB allocated

Counts

2 → 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 (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) z) x) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) 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 (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) 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	z

Results

Accuracy	Segments	Branch
60.9%	1	`z`
65.0%	3	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes9.0ms (0.1%)

Memory

-13.9MiB live, 23.9MiB 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:

3.0ms	y
1.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
1.0ms	x
1.0ms	z
1.0ms	t

Results

Accuracy	Segments	Branch
16.2%	1	`t`
16.2%	1	`y`
16.2%	1	`x`
16.2%	1	`z`
16.2%	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)

bsearch17.0ms (0.2%)

Memory

-1.3MiB live, 34.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.9884455520426194e+248	1.758752719185782e+250

Samples

9.0ms

112×

valid

Compiler

Compiled 165 to 159 computations (3.6% saved)

Precisions

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

ival-div: 2.0ms (34.5% of total)

ival-add: 1.0ms (17.2% of total)

ival-mult: 1.0ms (17.2% of total)

ival-tanh: 1.0ms (17.2% of total)

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

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

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

bsearch15.0ms (0.2%)

Memory

32.6MiB live, 32.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	4.490969830424248e-72	3.4307463996183965e-70

Samples

9.0ms	111×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 165 to 180 computations (-9.1% saved)

Precisions

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

ival-div: 2.0ms (35.6% of total)

ival-mult: 2.0ms (35.6% of total)

ival-add: 1.0ms (17.8% of total)

ival-sub: 1.0ms (17.8% of total)

ival-tanh: 1.0ms (17.8% 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

2.7MiB live, 39.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	7.68190171771878e+64	8.095458242325119e+67
1.0ms	4.490969830424248e-72	3.4307463996183965e-70

Samples

16.0ms	124×	0	valid
1.0ms	4×	1	valid

Compiler

Compiled 326 to 333 computations (-2.1% saved)

Precisions

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

ival-div: 2.0ms (30.6% of total)

ival-mult: 2.0ms (30.6% of total)

ival-sub: 1.0ms (15.3% of total)

ival-add: 1.0ms (15.3% of total)

ival-tanh: 1.0ms (15.3% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch18.0ms (0.2%)

Memory

6.9MiB live, 42.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	9.308485812790605e-32	1.8767147654364013e-29

Samples

11.0ms	108×	0	valid
1.0ms	4×	1	valid

Compiler

Compiled 109 to 145 computations (-33% saved)

Precisions

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

ival-div: 4.0ms (46.1% of total)

ival-mult: 2.0ms (23.1% of total)

ival-sub: 1.0ms (11.5% of total)

ival-tanh: 1.0ms (11.5% of total)

ival-add: 1.0ms (11.5% 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

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.7800231424490497e+306	+inf
0.0ms	-inf	-4.487101241953388e+303

Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch13.0ms (0.1%)

Memory

-9.5MiB live, 23.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	5.424856647403281	7.969901391298218

Samples

5.0ms	62×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 70 to 99 computations (-41.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 1.0ms (29.9% of total)

ival-mult: 1.0ms (29.9% of total)

ival-tanh: 1.0ms (29.9% of total)

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

adjust: 0.0ms (0% of total)

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

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

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

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.7800231424490497e+306	+inf
0.0ms	-inf	-4.487101241953388e+303

Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.7800231424490497e+306	+inf
0.0ms	-inf	-4.487101241953388e+303

Compiler

Compiled 18 to 19 computations (-5.6% saved)

simplify42.0ms (0.4%)

Memory

-24.6MiB live, 65.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	796
1	117	796
2	129	796
3	135	796
4	137	796

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal 389999999999999989099996483902808406353014132376369379829935209265734714628800190841890685912132956655547832170282468402648739566144848335083193617027158583808934753792964328348214391578243188327877236156948469359682891016203942925410944279329636352 binary64)) (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)))
(if (<=.f64 y #s(literal 18649621365367/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) z) x) (.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) (+.f64 x (fma.f64 (.f64 (tanh.f64 (/.f64 t y)) z) y (neg.f64 #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x))))))
(if (<=.f64 y #s(literal 18649621365367/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) z) x) (.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) (if (<=.f64 y #s(literal 13000000000000000224551388178994654284583698348697355600452768497664 binary64)) (-.f64 (fma.f64 (tanh.f64 (/.f64 t y)) (.f64 y z) x) #s(approx (* (* z y) (tanh (/ x y))) (.f64 z x))) #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))))
(if (<=.f64 y #s(literal 6422614617176819/713623846352979940529142984724747568191373312 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) 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 2000000000000000034432129193472909657662175650026477964657784035784761342489150095975840903750919189137212277723396582120622098451065897041393877611422881300245257029338856920713985249936056659101378448350568693460121432177658428510879389260239589093011024831235964286525341725837632725724238309498254524416 binary64)) #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) 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 4447304632028365/562949953421312 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) 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 (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) z) x) (.f64 #s(approx (- 1 z) (neg.f64 z)) x))) (if (<=.f64 (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 2000000000000000034432129193472909657662175650026477964657784035784761342489150095975840903750919189137212277723396582120622098451065897041393877611422881300245257029338856920713985249936056659101378448350568693460121432177658428510879389260239589093011024831235964286525341725837632725724238309498254524416 binary64)) #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) 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 (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) z) x) (*.f64 #s(approx (- 1 z) (neg.f64 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 2000000000000000034432129193472909657662175650026477964657784035784761342489150095975840903750919189137212277723396582120622098451065897041393877611422881300245257029338856920713985249936056659101378448350568693460121432177658428510879389260239589093011024831235964286525341725837632725724238309498254524416 binary64)) #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) 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
(if (<=.f64 y #s(literal 389999999999999989099996483902808406353014132376369379829935209265734714628800190841890685912132956655547832170282468402648739566144848335083193617027158583808934753792964328348214391578243188327877236156948469359682891016203942925410944279329636352 binary64)) (fma.f64 (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x) #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)))
(if (<=.f64 y #s(literal 389999999999999989099996483902808406353014132376369379829935209265734714628800190841890685912132956655547832170282468402648739566144848335083193617027158583808934753792964328348214391578243188327877236156948469359682891016203942925410944279329636352 binary64)) (fma.f64 (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x) #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)))
(if (<=.f64 y #s(literal 18649621365367/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) z) x) (.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) (+.f64 x (fma.f64 (.f64 (tanh.f64 (/.f64 t y)) z) y (neg.f64 #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x))))))
(if (<=.f64 y #s(literal 18649621365367/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) z) x) (.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) (+.f64 (fma.f64 (.f64 z (tanh.f64 (/.f64 t y))) y (neg.f64 #s(approx (* (* z y) (tanh (/ x y))) (*.f64 z x)))) x))
(if (<=.f64 y #s(literal 18649621365367/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) z) x) (.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) (if (<=.f64 y #s(literal 13000000000000000224551388178994654284583698348697355600452768497664 binary64)) (-.f64 (fma.f64 (tanh.f64 (/.f64 t y)) (.f64 y z) x) #s(approx (* (* z y) (tanh (/ x y))) (.f64 z x))) #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))))
(if (<=.f64 y #s(literal 18649621365367/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) z) x) (.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))) (if (<=.f64 y #s(literal 13000000000000000224551388178994654284583698348697355600452768497664 binary64)) (-.f64 (fma.f64 (tanh.f64 (/.f64 t y)) (.f64 z y) x) #s(approx (* (* z y) (tanh (/ x y))) (.f64 z x))) #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))))
(if (<=.f64 y #s(literal 6422614617176819/713623846352979940529142984724747568191373312 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) 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 2000000000000000034432129193472909657662175650026477964657784035784761342489150095975840903750919189137212277723396582120622098451065897041393877611422881300245257029338856920713985249936056659101378448350568693460121432177658428510879389260239589093011024831235964286525341725837632725724238309498254524416 binary64)) #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) 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 2000000000000000034432129193472909657662175650026477964657784035784761342489150095975840903750919189137212277723396582120622098451065897041393877611422881300245257029338856920713985249936056659101378448350568693460121432177658428510879389260239589093011024831235964286525341725837632725724238309498254524416 binary64)) #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) 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 4447304632028365/562949953421312 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) 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 (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) z) x) (.f64 #s(approx (- 1 z) (neg.f64 z)) x))) (if (<=.f64 (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 2000000000000000034432129193472909657662175650026477964657784035784761342489150095975840903750919189137212277723396582120622098451065897041393877611422881300245257029338856920713985249936056659101378448350568693460121432177658428510879389260239589093011024831235964286525341725837632725724238309498254524416 binary64)) #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) 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 (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) z) x) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)))))
(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 (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) z) x) (.f64 #s(approx (- 1 z) (neg.f64 z)) x))) (if (<=.f64 (+.f64 (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x) #s(literal 2000000000000000034432129193472909657662175650026477964657784035784761342489150095975840903750919189137212277723396582120622098451065897041393877611422881300245257029338856920713985249936056659101378448350568693460121432177658428510879389260239589093011024831235964286525341725837632725724238309498254524416 binary64)) #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) 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 (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) z) x) (*.f64 #s(approx (- 1 z) (neg.f64 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 2000000000000000034432129193472909657662175650026477964657784035784761342489150095975840903750919189137212277723396582120622098451065897041393877611422881300245257029338856920713985249936056659101378448350568693460121432177658428510879389260239589093011024831235964286525341725837632725724238309498254524416 binary64)) #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) 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 2000000000000000034432129193472909657662175650026477964657784035784761342489150095975840903750919189137212277723396582120622098451065897041393877611422881300245257029338856920713985249936056659101378448350568693460121432177658428510879389260239589093011024831235964286525341725837632725724238309498254524416 binary64)) #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ 1 (/ (+ x t) (* (+ x t) (- t x)))) 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)))

soundness1.1s (11%)

Memory

14.2MiB live, 928.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
0	20	44
1	99	44
2	871	44
0	8208	43
0	47	315
0	74	315
1	318	275
2	2767	275
0	8702	271
0	969	28699
1	3231	25180
0	8810	24530
0	447	9354
1	1515	7627
2	6263	7212
0	9365	7079
0	899	32729
1	2979	26791
0	8934	26131
0	36	240
0	61	234
1	271	230
2	2336	230
0	8283	228
0	823	38057
1	2766	28886
0	9279	28224

Stop Event

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

Compiler

Compiled 705 to 435 computations (38.3% saved)

preprocess71.0ms (0.7%)

Memory: 6.2MiB live, 161.5MiB allocated
Compiler: Compiled 736 to 258 computations (64.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze106.0ms (1.1%)

sample1.3s (13.4%)

explain222.0ms (2.2%)

preprocess441.0ms (4.5%)

eval0.0ms (0%)

prune19.0ms (0.2%)

simplify144.0ms (1.5%)

localize38.0ms (0.4%)

series68.0ms (0.7%)

simplify481.0ms (4.9%)

rewrite390.0ms (3.9%)

eval200.0ms (2%)

prune51.0ms (0.5%)

simplify156.0ms (1.6%)

localize191.0ms (1.9%)

series145.0ms (1.5%)

simplify293.0ms (3%)

rewrite244.0ms (2.5%)

eval553.0ms (5.6%)

prune62.0ms (0.6%)

simplify145.0ms (1.5%)

localize164.0ms (1.7%)

series101.0ms (1%)

simplify274.0ms (2.8%)

rewrite241.0ms (2.4%)

eval367.0ms (3.7%)

prune117.0ms (1.2%)

simplify198.0ms (2%)

localize353.0ms (3.6%)

series199.0ms (2%)

simplify343.0ms (3.5%)

rewrite211.0ms (2.1%)

eval212.0ms (2.1%)

prune106.0ms (1.1%)

regimes155.0ms (1.6%)

regimes152.0ms (1.5%)

regimes19.0ms (0.2%)

regimes45.0ms (0.5%)

regimes15.0ms (0.2%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes4.0ms (0%)

regimes9.0ms (0.1%)

bsearch17.0ms (0.2%)

bsearch15.0ms (0.2%)

bsearch25.0ms (0.3%)

bsearch18.0ms (0.2%)

bsearch1.0ms (0%)

bsearch13.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify42.0ms (0.4%)

soundness1.1s (11%)

preprocess71.0ms (0.7%)

end0.0ms (0%)

Profiling