Metrics for SynthBasics:moogVCF from YampaSynth-0.2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze72.0ms (0.6%)

Memory

32.4MiB live, 70.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 14 computations (17.6% saved)

sample1.1s (9.4%)

Memory

14.9MiB live, 1 257.2MiB allocated

Samples

721.0ms	8 033×	0	valid
40.0ms	223×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 507.0ms

ival-div: 166.0ms (32.7% of total)

ival-tanh: 128.0ms (25.3% of total)

ival-mult: 119.0ms (23.5% of total)

ival-add: 40.0ms (7.9% of total)

ival-sub: 36.0ms (7.1% of total)

adjust: 9.0ms (1.8% of total)

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

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

Bogosity

explain483.0ms (4.1%)

Memory

-47.0MiB live, 238.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
19	1	(-3.4336981048710893e-75 -2.0804289791538523e+261 -8.416011268484564e-249 2.1353531683245382e-97)	-	`(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))`
1	0	-	-	`(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))`
0	0	-	-	`(/.f64 x y)`
0	0	-	-	`(/.f64 t y)`
0	0	-	-	`t`
0	0	-	-	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`
0	0	-	-	`(tanh.f64 (/.f64 x y))`
0	0	-	-	`z`
0	0	-	-	`(tanh.f64 (/.f64 t y))`
0	0	-	-	`y`
0	0	-	-	`(*.f64 y z)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))`	*no**	13	0
`*.f64`	`(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))`	*ou**	4	0
↳	`(*.f64 y z)`	overflow	30
↳	`(/.f64 t y)`	underflow	29
↳	`(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))`	underflow	47
↳	`(tanh.f64 (/.f64 x y))`	underflow	31
↳	`(/.f64 x y)`	underflow	31
↳	`(tanh.f64 (/.f64 t y))`	underflow	29
`*.f64`	`(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))`	*nu**	2	0
`-.f64`	`(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))`	cancellation	1	0

Confusion

	Predicted +	Predicted -
+	19	0
-	0	237

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	19	0	0
-	0	0	237

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	237
1	18
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

271.0ms	72×	2	valid
45.0ms	432×	0	valid
8.0ms	8×	1	valid

Compiler

Compiled 139 to 40 computations (71.2% saved)

Precisions

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

ival-div: 10.0ms (29.9% of total)

ival-mult: 7.0ms (21% of total)

ival-tanh: 7.0ms (21% of total)

ival-sub: 3.0ms (9% of total)

adjust: 3.0ms (9% of total)

ival-add: 3.0ms (9% of total)

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

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

preprocess227.0ms (1.9%)

Memory

30.0MiB live, 307.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6 246×	`lower-fma.f64`
6 246×	`lower-fma.f32`
1 891×	`lower-*.f32`
1 889×	`lower-*.f64`
1 082×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

Compiler

Compiled 19 to 12 computations (36.8% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.8%	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify165.0ms (1.4%)

Memory

-10.1MiB live, 257.0MiB 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)))))

Rules

6 246×	`lower-fma.f64`
6 246×	`lower-fma.f32`
1 891×	`lower-*.f32`
1 889×	`lower-*.f64`
1 082×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize45.0ms (0.4%)

Memory

5.4MiB live, 90.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.015625	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
accuracy	0.015625	(tanh.f64 (/.f64 t y))
accuracy	0.24096873474675512	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
accuracy	4.598328909166973	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

Samples

24.0ms	216×	0	valid
9.0ms	36×	2	valid
2.0ms	4×	1	valid

Compiler

Compiled 60 to 14 computations (76.7% saved)

Precisions

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

ival-div: 11.0ms (46.8% of total)

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

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

ival-sub: 1.0ms (4.3% of total)

adjust: 1.0ms (4.3% of total)

ival-add: 1.0ms (4.3% of total)

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

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

series55.0ms (0.5%)

Memory

-13.5MiB live, 108.6MiB 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 t y)) (patch (tanh.f64 (/.f64 t y)) #<representation binary64>) () ())

Outputs
#s(alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))) (taylor 0 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>) () ())) ())
#s(alt (+ (* x (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) (taylor 0 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>) () ())) ())
#s(alt (+ (* x (+ 1 (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2)))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) (taylor 0 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>) () ())) ())
#s(alt (+ (* x (+ 1 (+ (* -1 z) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2)))))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))) (taylor 0 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>) () ())) ())
#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>) () ())) ())
#s(alt (* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x))) (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>) () ())) ())
#s(alt (* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x))) (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>) () ())) ())
#s(alt (* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x))) (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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#s(alt x (taylor 0 y) (#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 0 y) (#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 0 y) (#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 0 y) (#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 (* z (- t x))) (taylor inf y) (#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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Calls

45 calls:

Time	Variable		Point	Expression
7.0ms	t	@	-inf	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
5.0ms	y	@	inf	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
3.0ms	y	@	-inf	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
3.0ms	t	@	inf	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
3.0ms	x	@	-inf	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))

simplify412.0ms (3.5%)

Memory

14.7MiB live, 208.2MiB allocated

Algorithm

1×	egg-herbie

Rules

4 967×	`lower-fma.f64`
4 967×	`lower-fma.f32`
1 885×	`lower-*.f64`
1 885×	`lower-*.f32`
1 774×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	439	9242
1	1484	6963
2	6159	6572
0	9215	6439

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 176

Calls

Call 1

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

rewrite305.0ms (2.6%)

Memory

3.7MiB live, 287.2MiB allocated

Rules

2 547×	`lower-*.f32`
2 545×	`lower-*.f64`
2 051×	`lower-/.f32`
2 049×	`lower-/.f64`
1 468×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 271

Calls

Call 1

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

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

eval98.0ms (0.8%)

Memory: -9.3MiB live, 142.6MiB allocated
Compiler: Compiled 19 954 to 1 595 computations (92% saved)

prune101.0ms (0.9%)

Memory

26.3MiB live, 141.2MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	438	9	447
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	439	9	448

Accuracy

100.0%

Counts

448 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.4%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
	45.6%	(+.f64 x (.f64 (.f64 y z) (fma.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 t y)) (cosh.f64 (/.f64 t y))) (neg.f64 (tanh.f64 (/.f64 x y))))))
▶	41.0%	(+.f64 x (.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) t) (neg.f64 y))) (tanh.f64 (/.f64 x y)))))
	64.7%	(+.f64 x (.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
	50.6%	(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
	29.7%	(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (-.f64 t x) z (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 x x) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y)))))
▶	27.5%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z (fma.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t (.f64 (.f64 x x) x)) (fma.f64 (.f64 t t) t (.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) x) x)))) (/.f64 z (.f64 y y)) x)))
▶	61.9%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
▶	29.6%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 (-.f64 t x) z x) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 x x) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))) (/.f64 z y) #s(literal 0 binary64)) y)))

Compiler

Compiled 494 to 278 computations (43.7% saved)

simplify245.0ms (2.1%)

Memory

-9.6MiB live, 205.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) t) (neg.f64 y))) (tanh.f64 (/.f64 x y))))
cost-diff	128	(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) t)
cost-diff	128	(/.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) t) (neg.f64 y))
cost-diff	128	(+.f64 x (.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) t) (neg.f64 y))) (tanh.f64 (/.f64 x y)))))
cost-diff	0	(-.f64 t x)
cost-diff	0	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z (fma.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t (.f64 (.f64 x x) x)) (fma.f64 (.f64 t t) t (.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) x) x)))) (/.f64 z (.f64 y y)) x)))
cost-diff	320	(fma.f64 (-.f64 t x) z (fma.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t (.f64 (.f64 x x) x)) (fma.f64 (.f64 t t) t (.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) x) x)))) (/.f64 z (.f64 y y)) x))
cost-diff	1536	(-.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t (.f64 (.f64 x x) x)) (fma.f64 (.f64 t t) t (.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) x) x)))
cost-diff	64	(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 x x) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))) (/.f64 z y) #s(literal 0 binary64))
cost-diff	320	(-.f64 (fma.f64 (-.f64 t x) z x) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 x x) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))) (/.f64 z y) #s(literal 0 binary64)) y))
cost-diff	384	(/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 x x) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))) (/.f64 z y) #s(literal 0 binary64)) y)
cost-diff	1216	(fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 x x) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)))
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)

Rules

5 287×	`lower-fma.f32`
5 278×	`lower-fma.f64`
2 472×	`lower-*.f32`
2 456×	`lower-*.f64`
1 423×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	743
0	111	736
1	235	655
2	566	625
3	1826	568
4	7380	558
0	8170	538

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

localize711.0ms (6%)

Memory

11.5MiB live, 360.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	2.1425614236576562	(/.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) t) (neg.f64 y))
accuracy	4.598328909166973	(.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) t) (neg.f64 y))) (tanh.f64 (/.f64 x y))))
accuracy	13.809848316604317	(/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y))
accuracy	30.712280016549915	#s(approx (tanh (/ t y)) (/.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) t) (neg.f64 y)))
accuracy	5.27919313621257	(/.f64 z (*.f64 y y))
accuracy	12.997026474612268	(fma.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t (.f64 (.f64 x x) x)) (fma.f64 (.f64 t t) t (.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) x) x)))) (/.f64 z (.f64 y y)) x)
accuracy	32.56236582896337	(-.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t (.f64 (.f64 x x) x)) (fma.f64 (.f64 t t) t (.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) x) x)))
accuracy	37.45370504183533	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z (fma.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t (.f64 (.f64 x x) x)) (fma.f64 (.f64 t t) t (.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) x) x)))) (/.f64 z (.f64 y y)) x)))
accuracy	9.785114966604123	(-.f64 (fma.f64 (-.f64 t x) z x) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 x x) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))) (/.f64 z y) #s(literal 0 binary64)) y))
accuracy	11.882280777200833	(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 x x) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))) (/.f64 z y) #s(literal 0 binary64))
accuracy	18.437369953773974	(fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 x x) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)))
accuracy	37.45370504183533	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 (-.f64 t x) z x) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 x x) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))) (/.f64 z y) #s(literal 0 binary64)) y)))
accuracy	0	(fma.f64 (-.f64 t x) z x)
accuracy	0	(-.f64 t x)
accuracy	24.372530508426262	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
accuracy	0.015625	(tanh.f64 (/.f64 t y))
accuracy	0.24096873474675512	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
accuracy	1.045434662736564	(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z)
accuracy	1.3155534307886694	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)

Samples

353.0ms	216×	0	valid
127.0ms	2×	1	valid
48.0ms	34×	2	valid
6.0ms	4×	3	valid

Compiler

Compiled 623 to 58 computations (90.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 497.0ms

ival-add: 146.0ms (29.4% of total)

ival-sub: 143.0ms (28.8% of total)

ival-div: 139.0ms (28% of total)

ival-mult: 48.0ms (9.7% of total)

adjust: 8.0ms (1.6% of total)

const: 7.0ms (1.4% of total)

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

ival-neg: 1.0ms (0.2% of total)

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

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

exact: 0.0ms (0% of total)

series400.0ms (3.4%)

Memory

16.0MiB live, 198.0MiB allocated

Counts

23 → 864

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 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 x x) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x))) (patch (fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 x x) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 x x) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x))) (/.f64 z y) #s(literal 0 binary64)) y) (patch (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 x x) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x))) (/.f64 z y) #s(literal 0 binary64)) y) #<representation binary64>) () ())
#s(alt (-.f64 (fma.f64 (-.f64 t x) z x) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 x x) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x))) (/.f64 z y) #s(literal 0 binary64)) y)) (patch (-.f64 (fma.f64 (-.f64 t x) z x) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 x x) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x))) (/.f64 z y) #s(literal 0 binary64)) y)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 x x) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x))) (/.f64 z y) #s(literal 0 binary64)) (patch (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 x x) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x))) (/.f64 z y) #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t (.f64 (.f64 x x) x)) (fma.f64 (.f64 t t) t (.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) x) x))) (patch (-.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t (.f64 (.f64 x x) x)) (fma.f64 (.f64 t t) t (.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) x) x))) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 t x) z (fma.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t (.f64 (.f64 x x) x)) (fma.f64 (.f64 t t) t (.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) x) x)))) (/.f64 z (.f64 y y)) x)) (patch (fma.f64 (-.f64 t x) z (fma.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t (.f64 (.f64 x x) x)) (fma.f64 (.f64 t t) t (.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) x) x)))) (/.f64 z (.f64 y y)) x)) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z (fma.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t (.f64 (.f64 x x) x)) (fma.f64 (.f64 t t) t (.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) x) x)))) (/.f64 z (.f64 y y)) x))) (patch #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z (fma.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t (.f64 (.f64 x x) x)) (fma.f64 (.f64 t t) t (.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) x) x)))) (/.f64 z (.f64 y y)) x))) #<representation binary64>) () ())
#s(alt (+.f64 x (.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) t) (neg.f64 y))) (tanh.f64 (/.f64 x y))))) (patch (+.f64 x (.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) t) (neg.f64 y))) (tanh.f64 (/.f64 x y))))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) t) (neg.f64 y)) (patch (/.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) t) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) t) (patch (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) t) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) t) (neg.f64 y))) (tanh.f64 (/.f64 x y)))) (patch (.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) t) (neg.f64 y))) (tanh.f64 (/.f64 x y)))) #<representation binary64>) () ())
#s(alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 (-.f64 t x) z x) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 x x) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x))) (/.f64 z y) #s(literal 0 binary64)) y))) (patch #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 (-.f64 t x) z x) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 x x) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))) (/.f64 z y) #s(literal 0 binary64)) y))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t (.f64 (.f64 x x) x)) (fma.f64 (.f64 t t) t (.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) x) x)))) (/.f64 z (.f64 y y)) x) (patch (fma.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t (.f64 (.f64 x x) x)) (fma.f64 (.f64 t t) t (.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) x) x)))) (/.f64 z (.f64 y y)) x) #<representation binary64>) () ())
#s(alt (/.f64 z (.f64 y y)) (patch (/.f64 z (.f64 y y)) #<representation binary64>) () ())
#s(alt #s(approx (tanh (/ t y)) (/.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) t) (neg.f64 y))) (patch #s(approx (tanh (/ t y)) (/.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) t) (neg.f64 y))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) (patch (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y 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 (+ 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 (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 (* 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 (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 (* 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 (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>) () ())) ())
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#s(alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (taylor inf t) (#s(alt #s(approx (tanh (/ t y)) (/.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) t) (neg.f64 y))) (patch #s(approx (tanh (/ t y)) (/.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) t) (neg.f64 y))) #<representation binary64>) () ())) ())
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#s(alt (/ t y) (taylor inf y) (#s(alt #s(approx (tanh (/ t y)) (/.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) t) (neg.f64 y))) (patch #s(approx (tanh (/ t y)) (/.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) t) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y) (taylor inf y) (#s(alt #s(approx (tanh (/ t y)) (/.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) t) (neg.f64 y))) (patch #s(approx (tanh (/ t y)) (/.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) t) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)))) (* 1/2 (/ (pow t 3) (pow y 2)))) y) (taylor inf y) (#s(alt #s(approx (tanh (/ t y)) (/.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) t) (neg.f64 y))) (patch #s(approx (tanh (/ t y)) (/.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) t) (neg.f64 y))) #<representation binary64>) () ())) ())
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#s(alt (* 1/3 (/ (pow t 3) (pow y 2))) (taylor 0 t) (#s(alt (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) (patch (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) #<representation binary64>) () ())) ())
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#s(alt (* 1/3 (/ (pow t 3) (pow y 2))) (taylor inf t) (#s(alt (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) (patch (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow t 3) (pow y 2))) (taylor inf t) (#s(alt (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) (patch (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow t 3) (pow y 2))) (taylor inf t) (#s(alt (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) (patch (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) #<representation binary64>) () ())) ())
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#s(alt (* 1/3 (/ (pow t 3) (pow y 2))) (taylor -inf t) (#s(alt (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) (patch (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow t 3) (pow y 2))) (taylor -inf t) (#s(alt (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) (patch (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow t 3) (pow y 2))) (taylor -inf t) (#s(alt (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) (patch (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow t 3) (pow y 2))) (taylor 0 y) (#s(alt (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) (patch (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow t 3) (pow y 2))) (taylor 0 y) (#s(alt (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) (patch (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow t 3) (pow y 2))) (taylor 0 y) (#s(alt (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) (patch (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow t 3) (pow y 2))) (taylor 0 y) (#s(alt (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) (patch (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow t 3) (pow y 2))) (taylor inf y) (#s(alt (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) (patch (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow t 3) (pow y 2))) (taylor inf y) (#s(alt (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) (patch (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow t 3) (pow y 2))) (taylor inf y) (#s(alt (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) (patch (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow t 3) (pow y 2))) (taylor inf y) (#s(alt (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) (patch (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow t 3) (pow y 2))) (taylor -inf y) (#s(alt (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) (patch (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow t 3) (pow y 2))) (taylor -inf y) (#s(alt (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) (patch (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow t 3) (pow y 2))) (taylor -inf y) (#s(alt (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) (patch (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow t 3) (pow y 2))) (taylor -inf y) (#s(alt (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) (patch (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) #<representation binary64>) () ())) ())

Calls

216 calls:

Time	Variable		Point	Expression
26.0ms	x	@	inf	(+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) z) y) x)
10.0ms	z	@	0	(/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)
10.0ms	x	@	0	(+ (* (* 1/2 (- (+ (* (* 1/3 (* t t)) t) (* (* x x) x)) (+ (* (* t t) t) (* (* (* 1/3 x) x) x)))) (/ z (* y y))) x)
2.0ms	t	@	-inf	(/ (- (/ (* (* 1/3 (* t t)) t) (* y y)) t) (neg y))
2.0ms	z	@	inf	(/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)

simplify323.0ms (2.7%)

Memory

-5.0MiB live, 523.5MiB allocated

Algorithm

1×	egg-herbie

Rules

5 678×	`lower-fma.f64`
5 678×	`lower-fma.f32`
3 280×	`lower-+.f64`
3 280×	`lower-+.f32`
2 524×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	887	33591
1	2957	27880
0	8409	26990

Stop Event

1×	iter limit
1×	node limit

Counts

864 → 835

Calls

Call 1

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

rewrite348.0ms (3%)

Memory

-29.4MiB live, 329.0MiB allocated

Rules

2 539×	`lower-*.f32`
2 523×	`lower-*.f64`
2 513×	`lower-fma.f32`
2 504×	`lower-fma.f64`
1 957×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	511
0	111	456
1	470	448
2	4363	448
0	9106	429

Stop Event

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

Counts

23 → 590

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

Outputs
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))
(.f64 (-.f64 (pow.f64 (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x))))
(.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (.f64 x x))))
(.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))))
(pow.f64 (/.f64 (-.f64 x (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (-.f64 (.f64 x x) (pow.f64 (.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (-.f64 (pow.f64 (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (.f64 x x)) (fma.f64 (.f64 x x) x (pow.f64 (.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))) (fma.f64 (.f64 x x) x (pow.f64 (.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (fma.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))) (-.f64 x (.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (.f64 x x)) (fma.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)))
(/.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 (.f64 x x) x (pow.f64 (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (-.f64 (.f64 x x) (pow.f64 (.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (-.f64 (pow.f64 (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (fma.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x)) (.f64 x x)) (fma.f64 (.f64 x x) x (pow.f64 (.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (pow.f64 (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64))) (fma.f64 (.f64 x x) x (pow.f64 (.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 3 binary64)))))
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
(fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z x)
(fma.f64 (*.f64 z y) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
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eval294.0ms (2.5%)

Memory: 51.9MiB live, 421.1MiB allocated
Compiler: Compiled 73 344 to 3 461 computations (95.3% saved)

prune271.0ms (2.3%)

Memory

-10.1MiB live, 438.8MiB allocated

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	1 538	17	1 555
Fresh	1	3	4
Picked	3	2	5
Done	0	0	0
Total	1 542	22	1 564

Accuracy

100.0%

Counts

1 564 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.4%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
▶	65.7%	(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
	52.7%	(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x)
	45.6%	(+.f64 x (.f64 (.f64 y z) (fma.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 t y)) (cosh.f64 (/.f64 t y))) (neg.f64 (tanh.f64 (/.f64 x y))))))
	64.7%	(+.f64 x (.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
	41.0%	(+.f64 x (.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) #s(approx (/ (- (/ (* (* 1/3 (* t t)) t) (* y y)) t) (neg y)) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 t t) t) (*.f64 y y)) #s(literal -1/3 binary64) t) y))) (tanh.f64 (/.f64 x y)))))
	50.6%	(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
	25.3%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (.f64 (fma.f64 x (+.f64 x t) (.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 x t) (*.f64 t t))) z x))
▶	43.4%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x))
✓	61.9%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
	43.3%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (.f64 (.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) z x))
	59.9%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z x))
	52.8%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
	37.0%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 (-.f64 t x) z x) (/.f64 #s(approx (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) z) y)) y)))
▶	22.4%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) (fma.f64 (-.f64 #s(literal 1 binary64) z) x (.f64 (neg.f64 z) (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (*.f64 y y))))))
	2.7%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) (/.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 (.f64 x x) x) z)) (*.f64 y y))))
	15.8%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) (.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (.f64 y y)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 z (.f64 x x)))) (.f64 (.f64 x x) x))))
	2.3%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) (.f64 (.f64 (.f64 (.f64 t t) t) (/.f64 z (*.f64 y y))) #s(literal -1/3 binary64))))
▶	55.6%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (fma.f64 t (/.f64 z x) (neg.f64 z)) x x)))
	27.1%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
	52.7%	#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)))
▶	19.2%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))

Compiler

Compiled 803 to 435 computations (45.8% saved)

simplify155.0ms (1.3%)

Memory

-21.1MiB live, 214.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) (fma.f64 (-.f64 #s(literal 1 binary64) z) x (.f64 (neg.f64 z) (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (*.f64 y y)))))
cost-diff	0	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) (fma.f64 (-.f64 #s(literal 1 binary64) z) x (.f64 (neg.f64 z) (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (*.f64 y y))))))
cost-diff	128	(.f64 (neg.f64 z) (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (*.f64 y y)))
cost-diff	320	(fma.f64 (-.f64 #s(literal 1 binary64) z) x (.f64 (neg.f64 z) (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (*.f64 y y))))
cost-diff	0	(*.f64 (+.f64 x t) (-.f64 t x))
cost-diff	0	(fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x)
cost-diff	0	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x))
cost-diff	1408	(/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t))
cost-diff	0	(fma.f64 t (/.f64 z x) (neg.f64 z))
cost-diff	0	#s(approx (+ (* (- t x) z) x) (fma.f64 (fma.f64 t (/.f64 z x) (neg.f64 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 (fma.f64 t (/.f64 z x) (neg.f64 z)) x x)))
cost-diff	1024	(fma.f64 (fma.f64 t (/.f64 z x) (neg.f64 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	#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)

Rules

5 472×	`lower-fma.f32`
5 467×	`lower-fma.f64`
2 929×	`lower-*.f32`
2 921×	`lower-*.f64`
1 016×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	465
0	97	465
1	218	443
2	539	405
3	1722	391
4	5670	375
0	8107	364

Stop Event

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

Calls

Call 1

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

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

localize229.0ms (1.9%)

Memory

18.0MiB live, 379.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	3.7547674904642845	(.f64 (neg.f64 z) (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (*.f64 y y)))
accuracy	15.544892936747438	(/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y))
accuracy	26.705782500151415	#s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) (fma.f64 (-.f64 #s(literal 1 binary64) z) x (.f64 (neg.f64 z) (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (*.f64 y y)))))
accuracy	37.45370504183533	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) (fma.f64 (-.f64 #s(literal 1 binary64) z) x (.f64 (neg.f64 z) (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (*.f64 y y))))))
accuracy	0	(+.f64 x t)
accuracy	0	(*.f64 (+.f64 x t) (-.f64 t x))
accuracy	24.372530508426262	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t)) z x))
accuracy	30.11140038495884	(/.f64 (*.f64 (+.f64 x t) (-.f64 t x)) (+.f64 x t))
accuracy	0	#s(approx (+ (* (- t x) z) x) (fma.f64 (fma.f64 t (/.f64 z x) (neg.f64 z)) x x))
accuracy	2.9193355939057923	(fma.f64 t (/.f64 z x) (neg.f64 z))
accuracy	5.01704702711952	(fma.f64 (fma.f64 t (/.f64 z x) (neg.f64 z)) x x)
accuracy	24.372530508426262	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (fma.f64 t (/.f64 z x) (neg.f64 z)) x x)))
accuracy	0	(*.f64 t z)
accuracy	24.372530508426262	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
accuracy	35.80203938394241	#s(approx (+ (* (- t x) z) x) (*.f64 t z))
accuracy	0.24096873474675512	(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))
accuracy	1.045434662736564	(*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z)
accuracy	1.3155534307886694	(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
accuracy	29.693388828783156	#s(approx (tanh (/ t y)) (/.f64 t y))

Samples

118.0ms	216×	0	valid
42.0ms	34×	2	valid
8.0ms	4×	3	valid
2.0ms	2×	1	valid

Compiler

Compiled 316 to 61 computations (80.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 134.0ms

ival-mult: 77.0ms (57.7% of total)

ival-div: 15.0ms (11.2% of total)

ival-add: 14.0ms (10.5% of total)

const: 10.0ms (7.5% of total)

adjust: 8.0ms (6% of total)

ival-sub: 5.0ms (3.7% of total)

ival-tanh: 4.0ms (3% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

exact: 0.0ms (0% of total)

series120.0ms (1%)

Memory

0.3MiB live, 114.7MiB allocated

Counts

21 → 768

Calls

Call 1

Inputs
#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>) () ())
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Outputs
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#s(alt (+ x (+ (* -1 (/ (* z (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3))))) (pow y 2))) (* z (- t x)))) (taylor inf y) (#s(alt #s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) (fma.f64 (-.f64 #s(literal 1 binary64) z) x (.f64 (neg.f64 z) (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y))))) (patch #s(approx (- (+ ( (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) (fma.f64 (-.f64 #s(literal 1 binary64) z) x (.f64 (neg.f64 z) (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (*.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* z (- t x))) (taylor -inf y) (#s(alt #s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) (fma.f64 (-.f64 #s(literal 1 binary64) z) x (.f64 (neg.f64 z) (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y))))) (patch #s(approx (- (+ ( (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) (fma.f64 (-.f64 #s(literal 1 binary64) z) x (.f64 (neg.f64 z) (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (*.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (/ (* z (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3))))) (pow y 2))) (* z (- t x)))) (taylor -inf y) (#s(alt #s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) (fma.f64 (-.f64 #s(literal 1 binary64) z) x (.f64 (neg.f64 z) (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y))))) (patch #s(approx (- (+ ( (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) (fma.f64 (-.f64 #s(literal 1 binary64) z) x (.f64 (neg.f64 z) (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (*.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (/ (* z (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3))))) (pow y 2))) (* z (- t x)))) (taylor -inf y) (#s(alt #s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) (fma.f64 (-.f64 #s(literal 1 binary64) z) x (.f64 (neg.f64 z) (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y))))) (patch #s(approx (- (+ ( (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) (fma.f64 (-.f64 #s(literal 1 binary64) z) x (.f64 (neg.f64 z) (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (*.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (/ (* z (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/3 (pow t 3))))) (pow y 2))) (* z (- t x)))) (taylor -inf y) (#s(alt #s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) (fma.f64 (-.f64 #s(literal 1 binary64) z) x (.f64 (neg.f64 z) (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y))))) (patch #s(approx (- (+ ( (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) (fma.f64 (-.f64 #s(literal 1 binary64) z) x (.f64 (neg.f64 z) (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (*.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt t (taylor 0 x) (#s(alt (+.f64 x t) (patch (+.f64 x t) #<representation binary64>) () ())) ())
#s(alt (+ t x) (taylor 0 x) (#s(alt (+.f64 x t) (patch (+.f64 x t) #<representation binary64>) () ())) ())
#s(alt (+ t x) (taylor 0 x) (#s(alt (+.f64 x t) (patch (+.f64 x t) #<representation binary64>) () ())) ())
#s(alt (+ t x) (taylor 0 x) (#s(alt (+.f64 x t) (patch (+.f64 x t) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x t) (patch (+.f64 x t) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ t x))) (taylor inf x) (#s(alt (+.f64 x t) (patch (+.f64 x t) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ t x))) (taylor inf x) (#s(alt (+.f64 x t) (patch (+.f64 x t) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ t x))) (taylor inf x) (#s(alt (+.f64 x t) (patch (+.f64 x t) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x t) (patch (+.f64 x t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ t x)) 1))) (taylor -inf x) (#s(alt (+.f64 x t) (patch (+.f64 x t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ t x)) 1))) (taylor -inf x) (#s(alt (+.f64 x t) (patch (+.f64 x t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ t x)) 1))) (taylor -inf x) (#s(alt (+.f64 x t) (patch (+.f64 x t) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 t) (#s(alt (+.f64 x t) (patch (+.f64 x t) #<representation binary64>) () ())) ())
#s(alt (+ t x) (taylor 0 t) (#s(alt (+.f64 x t) (patch (+.f64 x t) #<representation binary64>) () ())) ())
#s(alt (+ t x) (taylor 0 t) (#s(alt (+.f64 x t) (patch (+.f64 x t) #<representation binary64>) () ())) ())
#s(alt (+ t x) (taylor 0 t) (#s(alt (+.f64 x t) (patch (+.f64 x t) #<representation binary64>) () ())) ())
#s(alt t (taylor inf t) (#s(alt (+.f64 x t) (patch (+.f64 x t) #<representation binary64>) () ())) ())
#s(alt (* t (+ 1 (/ x t))) (taylor inf t) (#s(alt (+.f64 x t) (patch (+.f64 x t) #<representation binary64>) () ())) ())
#s(alt (* t (+ 1 (/ x t))) (taylor inf t) (#s(alt (+.f64 x t) (patch (+.f64 x t) #<representation binary64>) () ())) ())
#s(alt (* t (+ 1 (/ x t))) (taylor inf t) (#s(alt (+.f64 x t) (patch (+.f64 x t) #<representation binary64>) () ())) ())
#s(alt t (taylor -inf t) (#s(alt (+.f64 x t) (patch (+.f64 x t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (- (* -1 (/ x t)) 1))) (taylor -inf t) (#s(alt (+.f64 x t) (patch (+.f64 x t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (- (* -1 (/ x t)) 1))) (taylor -inf t) (#s(alt (+.f64 x t) (patch (+.f64 x t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (- (* -1 (/ x t)) 1))) (taylor -inf t) (#s(alt (+.f64 x t) (patch (+.f64 x t) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (/ (pow x 3) (pow y 2))) (taylor 0 x) (#s(alt (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y)) (patch (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (/ (pow x 3) (pow y 2))) (taylor 0 x) (#s(alt (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y)) (patch (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (/ (pow x 3) (pow y 2))) (taylor 0 x) (#s(alt (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y)) (patch (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (/ (pow x 3) (pow y 2))) (taylor 0 x) (#s(alt (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y)) (patch (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (/ (pow x 3) (pow y 2))) (taylor inf x) (#s(alt (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y)) (patch (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (/ (pow x 3) (pow y 2))) (taylor inf x) (#s(alt (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y)) (patch (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (/ (pow x 3) (pow y 2))) (taylor inf x) (#s(alt (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y)) (patch (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (/ (pow x 3) (pow y 2))) (taylor inf x) (#s(alt (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y)) (patch (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (/ (pow x 3) (pow y 2))) (taylor -inf x) (#s(alt (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y)) (patch (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (/ (pow x 3) (pow y 2))) (taylor -inf x) (#s(alt (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y)) (patch (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (/ (pow x 3) (pow y 2))) (taylor -inf x) (#s(alt (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y)) (patch (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (/ (pow x 3) (pow y 2))) (taylor -inf x) (#s(alt (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y)) (patch (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (/ (pow x 3) (pow y 2))) (taylor 0 y) (#s(alt (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y)) (patch (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (/ (pow x 3) (pow y 2))) (taylor 0 y) (#s(alt (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y)) (patch (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (/ (pow x 3) (pow y 2))) (taylor 0 y) (#s(alt (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y)) (patch (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (/ (pow x 3) (pow y 2))) (taylor 0 y) (#s(alt (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y)) (patch (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (/ (pow x 3) (pow y 2))) (taylor inf y) (#s(alt (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y)) (patch (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (/ (pow x 3) (pow y 2))) (taylor inf y) (#s(alt (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y)) (patch (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (/ (pow x 3) (pow y 2))) (taylor inf y) (#s(alt (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y)) (patch (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (/ (pow x 3) (pow y 2))) (taylor inf y) (#s(alt (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y)) (patch (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (/ (pow x 3) (pow y 2))) (taylor -inf y) (#s(alt (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y)) (patch (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (/ (pow x 3) (pow y 2))) (taylor -inf y) (#s(alt (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y)) (patch (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (/ (pow x 3) (pow y 2))) (taylor -inf y) (#s(alt (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y)) (patch (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (/ (pow x 3) (pow y 2))) (taylor -inf y) (#s(alt (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y)) (patch (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (.f64 y y)) #<representation binary64>) () ())) ())

Calls

192 calls:

Time	Variable		Point	Expression
14.0ms	t	@	-inf	(+ x t)
3.0ms	x	@	-inf	(+ (* (+ (* t (/ z x)) (neg z)) x) x)
1.0ms	y	@	0	(+ (* (- 1 z) x) (* (neg z) (/ (* (* (* x x) x) -1/3) (* y y))))
1.0ms	x	@	0	(+ (* (- 1 z) x) (* (neg z) (/ (* (* (* x x) x) -1/3) (* y y))))
1.0ms	z	@	0	(+ (* (- 1 z) x) (* (neg z) (/ (* (* (* x x) x) -1/3) (* y y))))

simplify311.0ms (2.6%)

Memory

3.0MiB live, 402.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 389×	`lower-fma.f64`
7 389×	`lower-fma.f32`
2 909×	`lower-*.f64`
2 909×	`lower-*.f32`
2 777×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	756	26267
1	2545	20578
0	9026	19955

Stop Event

1×	iter limit
1×	node limit

Counts

768 → 733

Calls

Call 1

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

rewrite367.0ms (3.1%)

Memory

12.4MiB live, 290.7MiB allocated

Rules

2 293×	`lower-*.f32`
2 285×	`lower-*.f64`
1 862×	`lower-fma.f32`
1 857×	`lower-fma.f64`
1 686×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	407
0	98	385
1	438	351
2	3967	351
0	8132	343

Stop Event

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

Counts

21 → 315

Calls

Call 1

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

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

eval267.0ms (2.3%)

Memory: -33.4MiB live, 293.8MiB allocated
Compiler: Compiled 33 524 to 1 652 computations (95.1% saved)

prune277.0ms (2.3%)

Memory

14.1MiB live, 281.7MiB allocated

Pruning

29 alts after pruning (26 fresh and 3 done)

	Pruned	Kept	Total
New	1 059	22	1 081
Fresh	11	4	15
Picked	4	1	5
Done	0	2	2
Total	1 074	29	1 103

Accuracy

100.0%

Counts

1 103 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.4%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
▶	68.2%	(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
	52.7%	(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x)
	45.6%	(+.f64 x (.f64 (.f64 y z) (fma.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 t y)) (cosh.f64 (/.f64 t y))) (neg.f64 (tanh.f64 (/.f64 x y))))))
	41.0%	(+.f64 x (.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) #s(approx (/ (- (/ (* (* 1/3 (* t t)) t) (* y y)) t) (neg y)) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 t t) t) (*.f64 y y)) #s(literal -1/3 binary64) t) y))) (tanh.f64 (/.f64 x y)))))
	22.9%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (/.f64 (.f64 (.f64 (-.f64 t x) (+.f64 x t)) (.f64 (+.f64 x t) (-.f64 x t))) (.f64 (+.f64 x t) (-.f64 x t))) (+.f64 x t)) z x))
	39.0%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (.f64 (-.f64 t x) (.f64 (+.f64 x t) z)) (*.f64 (+.f64 x t) (-.f64 x t))) (-.f64 x t) x))
	43.1%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 (neg.f64 x) x)) (+.f64 x t)) z x))
▶	52.3%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 t t)) (+.f64 x t)) z x))
✓	61.9%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
	31.0%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (.f64 (/.f64 (.f64 (-.f64 t x) (+.f64 x t)) (fma.f64 (.f64 t t) t (.f64 (.f64 x x) x))) (fma.f64 x x (.f64 t (-.f64 t x)))) z x))
	43.3%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x t)) (.f64 (-.f64 t x) (+.f64 x t))) z x))
	42.2%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (*.f64 (-.f64 t x) (+.f64 x t)) (/.f64 z (+.f64 x t)) x))
	61.9%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (.f64 (-.f64 t x) (.f64 (+.f64 x t) (/.f64 #s(literal 1 binary64) (+.f64 x t)))) z x))
	27.9%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 t x))) #s(literal -1 binary64))) z x))
	52.8%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (/ (* (+ x t) (- t x)) (+ x t)) (neg.f64 x)) z x))
	22.4%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) (fma.f64 (-.f64 #s(literal 1 binary64) z) x (.f64 (.f64 (.f64 x x) x) (.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (neg.f64 z))))))
▶	2.3%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) (.f64 (.f64 (.f64 (.f64 t t) t) (/.f64 z (*.f64 y y))) #s(literal -1/3 binary64))))
	2.6%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) (.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) x) (/.f64 z (*.f64 y y)))))
▶	13.0%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) #s(approx (+ (* (- 1 z) x) (* (neg z) (/ (* (* (* x x) x) -1/3) (* y y)))) (/.f64 (fma.f64 (.f64 x (.f64 y y)) (-.f64 #s(literal 1 binary64) z) (.f64 (.f64 (.f64 (.f64 z x) x) x) #s(literal 1/3 binary64))) (*.f64 y y)))))
	7.0%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) #s(approx (+ (* (- 1 z) x) (* (neg z) (/ (* (* (* x x) x) -1/3) (* y y)))) (.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 y y)) #s(literal 1/3 binary64) (neg.f64 x)) z))))
	15.8%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) #s(approx (+ (* (- 1 z) x) (* (neg z) (/ (* (* (* x x) x) -1/3) (* y y)))) (.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (.f64 y y)) (/.f64 (-.f64 #s(literal 1 binary64) z) (.f64 x x))) (.f64 (*.f64 x x) x)))))
	52.7%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) #s(approx (+ (* (- 1 z) x) (* (neg z) (/ (* (* (* x x) x) -1/3) (* y y)))) (*.f64 (-.f64 #s(literal 1 binary64) z) x))))
▶	27.1%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (*.f64 (-.f64 t x) z)))
	56.5%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (fma.f64 z (/.f64 t x) (neg.f64 z)) x x)))
	56.5%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) x) t) (neg.f64 z)) x x)))
	53.8%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 #s(approx (+ (* t (/ z x)) (neg z)) (*.f64 t (/.f64 z x))) x x)))
✓	19.2%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
	25.1%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) #s(approx (+ (* (+ (* t (/ z x)) (neg z)) x) x) (.f64 (.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x) z))))

Compiler

Compiled 1 114 to 588 computations (47.2% saved)

simplify210.0ms (1.8%)

Memory

-5.8MiB live, 209.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* (- 1 z) x) (* (neg z) (/ (* (* (* x x) x) -1/3) (* y y)))) (/.f64 (fma.f64 (.f64 x (.f64 y y)) (-.f64 #s(literal 1 binary64) z) (.f64 (.f64 (.f64 (.f64 z x) x) x) #s(literal 1/3 binary64))) (*.f64 y y)))
cost-diff	0	#s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) #s(approx (+ (* (- 1 z) x) (* (neg z) (/ (* (* (* x x) x) -1/3) (* y y)))) (/.f64 (fma.f64 (.f64 x (.f64 y y)) (-.f64 #s(literal 1 binary64) z) (.f64 (.f64 (.f64 (.f64 z x) x) x) #s(literal 1/3 binary64))) (*.f64 y y))))
cost-diff	0	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) #s(approx (+ (* (- 1 z) x) (* (neg z) (/ (* (* (* x x) x) -1/3) (* y y)))) (/.f64 (fma.f64 (.f64 x (.f64 y y)) (-.f64 #s(literal 1 binary64) z) (.f64 (.f64 (.f64 (.f64 z x) x) x) #s(literal 1/3 binary64))) (*.f64 y y)))))
cost-diff	320	(fma.f64 (.f64 x (.f64 y y)) (-.f64 #s(literal 1 binary64) z) (.f64 (.f64 (.f64 (.f64 z x) x) x) #s(literal 1/3 binary64)))
cost-diff	0	(.f64 (.f64 (.f64 t t) t) (/.f64 z (.f64 y y)))
cost-diff	0	(.f64 (.f64 (.f64 (.f64 t t) t) (/.f64 z (*.f64 y y))) #s(literal -1/3 binary64))
cost-diff	0	#s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) (.f64 (.f64 (.f64 (.f64 t t) t) (/.f64 z (*.f64 y y))) #s(literal -1/3 binary64)))
cost-diff	0	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) (.f64 (.f64 (.f64 (.f64 t t) t) (/.f64 z (*.f64 y y))) #s(literal -1/3 binary64))))
cost-diff	0	#s(approx (* (+ x t) (- t x)) (*.f64 t t))
cost-diff	0	(/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 t t)) (+.f64 x t))
cost-diff	0	(fma.f64 (/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 t t)) (+.f64 x t)) z x)
cost-diff	0	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 t t)) (+.f64 x t)) z x))
cost-diff	0	(-.f64 t x)
cost-diff	0	(*.f64 (-.f64 t x) z)
cost-diff	0	#s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (*.f64 (-.f64 t x) z))
cost-diff	0	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (*.f64 (-.f64 t x) z)))
cost-diff	0	#s(approx (tanh (/ t y)) (/.f64 t y))
cost-diff	0	(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))
cost-diff	0	(*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)
cost-diff	0	(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)

Rules

4 205×	`lower-fma.f32`
4 202×	`lower-fma.f64`
2 536×	`lower-*.f32`
2 524×	`lower-*.f64`
1 090×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	695
0	113	687
1	254	630
2	653	594
3	2071	579
4	6482	579
0	8283	562

Stop Event

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

Calls

Call 1

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

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

localize535.0ms (4.5%)

Memory

27.1MiB live, 330.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	9.569166920231256	(.f64 x (.f64 y y))
accuracy	23.989191275946403	(/.f64 (fma.f64 (.f64 x (.f64 y y)) (-.f64 #s(literal 1 binary64) z) (.f64 (.f64 (.f64 (.f64 z x) x) x) #s(literal 1/3 binary64))) (*.f64 y y))
accuracy	26.705782500151415	#s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) #s(approx (+ (* (- 1 z) x) (* (neg z) (/ (* (* (* x x) x) -1/3) (* y y)))) (/.f64 (fma.f64 (.f64 x (.f64 y y)) (-.f64 #s(literal 1 binary64) z) (.f64 (.f64 (.f64 (.f64 z x) x) x) #s(literal 1/3 binary64))) (*.f64 y y))))
accuracy	37.45370504183533	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) #s(approx (+ (* (- 1 z) x) (* (neg z) (/ (* (* (* x x) x) -1/3) (* y y)))) (/.f64 (fma.f64 (.f64 x (.f64 y y)) (-.f64 #s(literal 1 binary64) z) (.f64 (.f64 (.f64 (.f64 z x) x) x) #s(literal 1/3 binary64))) (*.f64 y y)))))
accuracy	5.27919313621257	(/.f64 z (*.f64 y y))
accuracy	13.550748702813118	(.f64 (.f64 (.f64 t t) t) (/.f64 z (.f64 y y)))
accuracy	37.45370504183533	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) (.f64 (.f64 (.f64 (.f64 t t) t) (/.f64 z (*.f64 y y))) #s(literal -1/3 binary64))))
accuracy	40.938026255598984	#s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) (.f64 (.f64 (.f64 (.f64 t t) t) (/.f64 z (*.f64 y y))) #s(literal -1/3 binary64)))
accuracy	0	(*.f64 t t)
accuracy	24.372530508426262	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 t t)) (+.f64 x t)) z x))
accuracy	28.003466074671536	#s(approx (* (+ x t) (- t x)) (*.f64 t t))
accuracy	30.11140038495884	(/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 t t)) (+.f64 x t))
accuracy	0	(-.f64 t x)
accuracy	0.00390625	(*.f64 (-.f64 t x) z)
accuracy	22.6448204725727	#s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (*.f64 (-.f64 t x) z))
accuracy	24.372530508426262	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (*.f64 (-.f64 t x) z)))
accuracy	0.0078125	(tanh.f64 (/.f64 x y))
accuracy	0.24096873474675512	(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))
accuracy	1.91265873934668	(*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)
accuracy	29.693388828783156	#s(approx (tanh (/ t y)) (/.f64 t y))

Samples

209.0ms	36×	2	valid
184.0ms	216×	0	valid
4.0ms	4×	1	valid

Compiler

Compiled 407 to 67 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 274.0ms

const: 176.0ms (64.3% of total)

ival-mult: 47.0ms (17.2% of total)

ival-div: 21.0ms (7.7% of total)

ival-add: 12.0ms (4.4% of total)

adjust: 7.0ms (2.6% of total)

ival-sub: 5.0ms (1.8% of total)

ival-tanh: 4.0ms (1.5% of total)

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

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

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

exact: 0.0ms (0% of total)

series136.0ms (1.2%)

Memory

-10.2MiB live, 147.6MiB allocated

Counts

25 → 876

Calls

Call 1

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

Calls

219 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(* x (* y y))
1.0ms	y	@	-inf	(* (- (tanh (/ t y)) (tanh (/ x y))) y)
1.0ms	y	@	0	(* (* (* (* t t) t) (/ z (* y y))) -1/3)
1.0ms	z	@	0	(* (* (* (* t t) t) (/ z (* y y))) -1/3)
1.0ms	x	@	0	(+ (* (* x (* y y)) (- 1 z)) (* (* (* (* z x) x) x) 1/3))

simplify344.0ms (2.9%)

Memory

-6.6MiB live, 443.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 638×	`lower-fma.f64`
7 638×	`lower-fma.f32`
3 112×	`lower-+.f64`
3 112×	`lower-+.f32`
2 627×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	828	28256
1	2818	22387
0	9472	21657

Stop Event

1×	iter limit
1×	node limit

Counts

876 → 844

Calls

Call 1

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

rewrite293.0ms (2.5%)

Memory

-7.6MiB live, 393.8MiB allocated

Rules

2 467×	`lower-*.f32`
2 455×	`lower-*.f64`
1 933×	`lower-fma.f32`
1 930×	`lower-fma.f64`
1 751×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	626
0	113	580
1	483	551
2	4230	551
0	8415	533

Stop Event

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

Counts

25 → 316

Calls

Call 1

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

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

eval199.0ms (1.7%)

Memory: 15.8MiB live, 275.6MiB allocated
Compiler: Compiled 35 823 to 1 622 computations (95.5% saved)

prune243.0ms (2.1%)

Memory

8.2MiB live, 340.6MiB allocated

Pruning

30 alts after pruning (23 fresh and 7 done)

	Pruned	Kept	Total
New	1 166	12	1 178
Fresh	10	11	21
Picked	1	4	5
Done	0	3	3
Total	1 177	30	1 207

Accuracy

100.0%

Counts

1 207 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.4%	(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
✓	68.2%	(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
	52.7%	(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x)
	45.6%	(+.f64 x (.f64 (.f64 y z) (fma.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 t y)) (cosh.f64 (/.f64 t y))) (neg.f64 (tanh.f64 (/.f64 x y))))))
	41.0%	(+.f64 x (.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) #s(approx (/ (- (/ (* (* 1/3 (* t t)) t) (* y y)) t) (neg y)) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 t t) t) (*.f64 y y)) #s(literal -1/3 binary64) t) y))) (tanh.f64 (/.f64 x y)))))
	22.9%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (/.f64 (.f64 (.f64 (-.f64 t x) (+.f64 x t)) (.f64 (+.f64 x t) (-.f64 x t))) (.f64 (+.f64 x t) (-.f64 x t))) (+.f64 x t)) z x))
	44.3%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (.f64 #s(approx ( (+ x t) (- t x)) (.f64 t t)) z) (.f64 (+.f64 x t) (-.f64 x t))) (-.f64 x t) x))
	43.1%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 (neg.f64 x) x)) (+.f64 x t)) z x))
✓	52.3%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 t t)) (+.f64 x t)) z x))
✓	61.9%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))
	52.8%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (/ (* (+ x t) (- t x)) (+ x t)) (neg.f64 x)) z x))
	2.5%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) (.f64 (.f64 (/.f64 (.f64 t z) (.f64 y y)) (*.f64 t t)) #s(literal -1/3 binary64))))
	2.6%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) (.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) x) (/.f64 z (*.f64 y y)))))
✓	13.0%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) #s(approx (+ (* (- 1 z) x) (* (neg z) (/ (* (* (* x x) x) -1/3) (* y y)))) (/.f64 (fma.f64 (.f64 x (.f64 y y)) (-.f64 #s(literal 1 binary64) z) (.f64 (.f64 (.f64 (.f64 z x) x) x) #s(literal 1/3 binary64))) (*.f64 y y)))))
	12.9%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) #s(approx (+ (* (- 1 z) x) (* (neg z) (/ (* (* (* x x) x) -1/3) (* y y)))) (/.f64 (.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) z) y) y (.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) z)) x) (.f64 y y)))))
	2.8%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) #s(approx (+ (* (- 1 z) x) (* (neg z) (/ (* (* (* x x) x) -1/3) (* y y)))) (/.f64 #s(approx (+ (* (* x (* y y)) (- 1 z)) (* (* (* (* z x) x) x) 1/3)) (.f64 (.f64 (.f64 #s(literal 1/3 binary64) z) x) (.f64 x x))) (*.f64 y y)))))
	25.2%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) #s(approx (+ (* (- 1 z) x) (* (neg z) (/ (* (* (* x x) x) -1/3) (* y y)))) (/.f64 #s(approx (+ (* (* x (* y y)) (- 1 z)) (* (* (* (* z x) x) x) 1/3)) (.f64 (.f64 y y) x)) (*.f64 y y)))))
	52.7%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) #s(approx (+ (* (- 1 z) x) (* (neg z) (/ (* (* (* x x) x) -1/3) (* y y)))) (*.f64 (-.f64 #s(literal 1 binary64) z) x))))
	14.9%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (.f64 (/.f64 (.f64 (-.f64 t x) (.f64 (+.f64 x t) z)) (.f64 (+.f64 x t) (-.f64 x t))) (-.f64 x t))))
✓	27.1%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (*.f64 (-.f64 t x) z)))
	22.5%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x t)) (*.f64 (-.f64 t x) (+.f64 x t))) z)))
	20.9%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (.f64 (.f64 (-.f64 t x) (+.f64 x t)) (/.f64 z (+.f64 x t)))))
	27.1%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (.f64 (.f64 (-.f64 t x) (*.f64 (+.f64 x t) (/.f64 #s(literal 1 binary64) (+.f64 x t)))) z)))
	11.5%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 t x))) #s(literal -1 binary64))) z)))
	25.1%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (.f64 #s(approx (- t x) (.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z)))
	12.3%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z)))
	56.5%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (fma.f64 z (/.f64 t x) (neg.f64 z)) x x)))
	56.5%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) x) t) (neg.f64 z)) x x)))
	53.8%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 #s(approx (+ (* t (/ z x)) (neg z)) (*.f64 t (/.f64 z x))) x x)))
✓	19.2%	#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))

Compiler

Compiled 1 606 to 512 computations (68.1% saved)

regimes104.0ms (0.9%)

Memory

17.0MiB live, 170.1MiB 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 (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 (-.f64 t x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (*.f64 (-.f64 t x) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) #s(approx (+ (* (- 1 z) x) (* (neg z) (/ (* (* (* x x) x) -1/3) (* y y)))) (*.f64 (-.f64 #s(literal 1 binary64) z) x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (/ (* (+ x t) (- t x)) (+ x t)) (neg.f64 x)) z x))
#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 (+ (* (- t x) z) x) (fma.f64 #s(approx (+ (* t (/ z x)) (neg z)) (*.f64 t (/.f64 z x))) x x)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) #s(approx (+ (* (+ (* t (/ z x)) (neg z)) x) x) (.f64 (.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x) z))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (.f64 #s(approx (- t x) (.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (fma.f64 t (/.f64 z x) (neg.f64 z)) x x)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (fma.f64 z (/.f64 t x) (neg.f64 z)) x x)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (*.f64 (-.f64 (/.f64 t x) #s(literal 1 binary64)) x)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 t t)) (+.f64 x t)) z x))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) #s(approx (+ (* (- 1 z) x) (* (neg z) (/ (* (* (* x x) x) -1/3) (* y y)))) (/.f64 #s(approx (+ (* (* x (* y y)) (- 1 z)) (* (* (* (* z x) x) x) 1/3)) (.f64 (.f64 y y) x)) (*.f64 y y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 (neg.f64 x) x)) (+.f64 x t)) z x))
(+.f64 x (.f64 (.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 (fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) x) t) (neg.f64 z)) x x)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (.f64 (.f64 (-.f64 t x) (+.f64 x t)) (/.f64 z (+.f64 x t)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (*.f64 (-.f64 t x) (+.f64 x t)) (/.f64 z (+.f64 x t)) 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))))) #s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (.f64 (.f64 (-.f64 t x) (*.f64 (+.f64 x t) (/.f64 #s(literal 1 binary64) (+.f64 x t)))) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x t)) (*.f64 (-.f64 t x) (+.f64 x t))) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) #s(approx (+ (* (- 1 z) x) (* (neg z) (/ (* (* (* x x) x) -1/3) (* y y)))) (/.f64 #s(approx (+ (* (* x (* y y)) (- 1 z)) (* (* (* (* z x) x) x) 1/3)) (.f64 (.f64 (.f64 #s(literal 1/3 binary64) z) x) (.f64 x x))) (*.f64 y y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) (.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) x) (/.f64 z (*.f64 y y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) (.f64 (.f64 (.f64 (.f64 t t) t) (/.f64 z (*.f64 y y))) #s(literal -1/3 binary64))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) (.f64 (.f64 (/.f64 (.f64 t z) (.f64 y y)) (*.f64 t t)) #s(literal -1/3 binary64))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) (/.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 (.f64 x x) x) z)) (*.f64 y y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (.f64 (.f64 (+.f64 x t) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 x t))) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (.f64 (-.f64 t x) (.f64 (+.f64 x t) (/.f64 #s(literal 1 binary64) (+.f64 x t)))) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x t)) (.f64 (-.f64 t x) (+.f64 x t))) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) #s(approx (+ (* (- 1 z) x) (* (neg z) (/ (* (* (* x x) x) -1/3) (* y y)))) (.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) x) (.f64 y y)) #s(literal 1/3 binary64) (neg.f64 x)) z))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (.f64 #s(approx ( (+ x t) (- t x)) (.f64 t t)) z) (.f64 (+.f64 x t) (-.f64 x t))) (-.f64 x t) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (.f64 (/.f64 (.f64 (-.f64 t x) (.f64 (+.f64 x t) z)) (.f64 (+.f64 x t) (-.f64 x t))) (-.f64 x t))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) (fma.f64 (-.f64 #s(literal 1 binary64) z) x (.f64 (neg.f64 z) (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) (*.f64 y y))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) (fma.f64 (-.f64 #s(literal 1 binary64) z) x (.f64 (.f64 (.f64 x x) x) (.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 y y)) (neg.f64 z))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (.f64 (-.f64 t x) (.f64 (+.f64 x t) z)) (*.f64 (+.f64 x t) (-.f64 x t))) (-.f64 x t) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) #s(approx (+ (* (- 1 z) x) (* (neg z) (/ (* (* (* x x) x) -1/3) (* y y)))) (/.f64 (.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) z) y) y (.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) z)) x) (.f64 y y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (.f64 (fma.f64 x (+.f64 x t) (.f64 t t)) (-.f64 t x)) (fma.f64 x (+.f64 x t) (*.f64 t t))) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 (-.f64 t x) z x) (/.f64 #s(approx (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/3 binary64)) z) y)) y)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) #s(approx (+ (* (- 1 z) x) (* (neg z) (/ (* (* (* x x) x) -1/3) (* y y)))) (/.f64 (fma.f64 (.f64 x (.f64 y y)) (-.f64 #s(literal 1 binary64) z) (.f64 (.f64 (.f64 (.f64 z x) x) x) #s(literal 1/3 binary64))) (*.f64 y y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) #s(approx (+ (* (- 1 z) x) (* (neg z) (/ (* (* (* x x) x) -1/3) (* y y)))) (.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (.f64 y y)) (/.f64 (-.f64 #s(literal 1 binary64) z) (.f64 x x))) (.f64 (*.f64 x x) x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (.f64 (/.f64 (.f64 (-.f64 t x) (+.f64 x t)) (fma.f64 (.f64 t t) t (.f64 (.f64 x x) x))) (fma.f64 x x (.f64 t (-.f64 t x)))) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 (/.f64 (.f64 (.f64 (-.f64 t x) (+.f64 x t)) (.f64 (+.f64 x t) (-.f64 x t))) (.f64 (+.f64 x t) (-.f64 x t))) (+.f64 x t)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) (.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 z (.f64 y y)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 z (.f64 x x)))) (.f64 (.f64 x x) x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (-.f64 (fma.f64 (-.f64 t x) z x) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 x x) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))) (/.f64 z y) #s(literal 0 binary64)) y)))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (fma.f64 (-.f64 t x) z (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 x x) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))) (/.f64 z y) #s(literal 0 binary64)) (neg.f64 y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z (fma.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t (.f64 (.f64 x x) x)) (fma.f64 (.f64 t t) t (.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) x) x)))) (/.f64 z (.f64 y y)) x)))
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
(+.f64 x (.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(+.f64 x (.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) #s(approx (/ (- (/ (* (* 1/3 (* t t)) t) (* y y)) t) (neg y)) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 t t) t) (*.f64 y y)) #s(literal -1/3 binary64) t) y))) (tanh.f64 (/.f64 x y)))))
(+.f64 x (.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 t t)) t) (.f64 y y)) t) (neg.f64 y))) (tanh.f64 (/.f64 x y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 t x))) #s(literal -1 binary64))) z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 t x))) #s(literal -1 binary64))) z x))
(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 (.f64 (.f64 y z) (fma.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 t y)) (cosh.f64 (/.f64 t y))) (neg.f64 (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:

23.0ms	x
21.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
20.0ms	t
19.0ms	y
16.0ms	z

Results

Accuracy	Segments	Branch
96.4%	1	`x`
98.0%	2	`y`
96.4%	1	`z`
96.4%	1	`t`
96.4%	1	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`

Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes100.0ms (0.9%)

Memory

-17.2MiB live, 252.7MiB allocated

Counts

58 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

23.0ms	y
21.0ms	z
17.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
17.0ms	t
17.0ms	x

Results

Accuracy	Segments	Branch
68.2%	1	`x`
70.1%	2	`t`
72.8%	3	`z`
72.0%	3	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`
73.1%	3	`y`

Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes37.0ms (0.3%)

Memory

10.6MiB live, 89.8MiB allocated

Counts

53 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

18.0ms	y
16.0ms	z

Results

Accuracy	Segments	Branch
72.8%	3	`z`
72.4%	3	`y`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes91.0ms (0.8%)

Memory

-21.4MiB live, 184.8MiB allocated

Counts

51 → 4

Calls

Call 1

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

Outputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (* (+ x t) (- t x)) (*.f64 (neg.f64 x) x)) (+.f64 x t)) z x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 #s(approx (+ (* t (/ z x)) (neg z)) (*.f64 t (/.f64 z x))) x x)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) #s(approx (+ (* (- 1 z) x) (* (neg z) (/ (* (* (* x x) x) -1/3) (* y y)))) (/.f64 #s(approx (+ (* (* x (* y y)) (- 1 z)) (* (* (* (* z x) x) x) 1/3)) (.f64 (.f64 y y) x)) (*.f64 y y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))

Calls

5 calls:

23.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
17.0ms	x
15.0ms	y
15.0ms	z
14.0ms	t

Results

Accuracy	Segments	Branch
65.9%	3	`x`
63.7%	2	`t`
65.3%	3	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`
72.1%	4	`y`
65.2%	3	`z`

Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes7.0ms (0.1%)

Memory

17.1MiB live, 17.1MiB allocated

Counts

18 → 3

Calls

Call 1

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

Outputs

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

#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) #s(approx (+ (* (- 1 z) x) (* (neg z) (/ (* (* (* x x) x) -1/3) (* y y)))) (/.f64 #s(approx (+ (* (* x (* y y)) (- 1 z)) (* (* (* (* z x) x) x) 1/3)) (*.f64 (*.f64 y y) x)) (*.f64 y y)))))

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
70.1%	3	`y`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes6.0ms (0.1%)

Memory

15.6MiB live, 15.6MiB allocated

Counts

17 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
67.2%	2	`y`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes5.0ms (0%)

Memory

-29.5MiB live, 9.9MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
66.0%	2	`y`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes16.0ms (0.1%)

Memory

31.8MiB live, 31.7MiB allocated

Counts

8 → 3

Calls

Call 1

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

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))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
64.0%	3	`z`
52.8%	1	`t`
57.8%	3	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`
59.7%	3	`x`
52.8%	1	`y`

Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes7.0ms (0.1%)

Memory

-35.2MiB live, 8.8MiB allocated

Counts

6 → 3

Calls

Call 1

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
64.0%	3	`z`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes4.0ms (0%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

#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 (+ (* (- 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 t z)))

#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

2 calls:

2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
59.3%	3	`x`
57.3%	3	`z`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes8.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB 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 (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z)))

Outputs

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

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
19.2%	1	`t`
21.0%	2	`y`
19.2%	1	`z`
19.2%	1	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`
24.8%	3	`x`

Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes4.0ms (0%)

Memory

8.6MiB live, 8.6MiB 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

3 calls:

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

Results

Accuracy	Segments	Branch
19.2%	1	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`
19.2%	1	`y`
19.2%	1	`x`

Compiler

Compiled 29 to 20 computations (31% saved)

bsearch45.0ms (0.4%)

Memory

-31.2MiB live, 8.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
44.0ms	4.507925632290712e+232	3.514413373491579e+233

Samples

42.0ms

48×

valid

Compiler

Compiled 115 to 76 computations (33.9% saved)

Precisions

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

ival-div: 1.0ms (45.4% of total)

ival-mult: 1.0ms (45.4% of total)

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

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

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

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

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

bsearch31.0ms (0.3%)

Memory

11.7MiB live, 50.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	4.80803717542662e+70	5.958877171166281e+71
16.0ms	4.4647576388408573e-253	5.83317992397594e-248

Samples

18.0ms	229×	0	valid
2.0ms	11×	1	valid

Compiler

Compiled 556 to 331 computations (40.5% saved)

Precisions

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

ival-div: 3.0ms (24.7% of total)

ival-mult: 3.0ms (24.7% of total)

ival-tanh: 3.0ms (24.7% of total)

ival-sub: 1.0ms (8.2% of total)

ival-add: 1.0ms (8.2% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch31.0ms (0.3%)

Memory

20.8MiB live, 58.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	5.936353463250651e-44	8.217563973843567e-43
17.0ms	-8.4178483052451e+19	-6687047027818.472

Samples

19.0ms

240×

valid

Compiler

Compiled 487 to 289 computations (40.7% saved)

Precisions

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

ival-mult: 5.0ms (38.9% of total)

ival-div: 3.0ms (23.4% of total)

ival-tanh: 2.0ms (15.6% of total)

ival-sub: 1.0ms (7.8% of total)

ival-add: 1.0ms (7.8% of total)

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

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

bsearch45.0ms (0.4%)

Memory

-21.6MiB live, 58.4MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
13.0ms	8.915732886442687e-10	5.675670392119432e-8
15.0ms	1.452089286682401e-157	2.87360792840245e-152
13.0ms	4.4647576388408573e-253	5.83317992397594e-248

Samples

28.0ms	345×	0	valid
1.0ms	7×	1	valid

Compiler

Compiled 844 to 430 computations (49.1% saved)

Precisions

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

ival-div: 7.0ms (38.3% of total)

ival-mult: 5.0ms (27.3% of total)

ival-tanh: 3.0ms (16.4% of total)

ival-add: 2.0ms (10.9% of total)

ival-sub: 1.0ms (5.5% 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

2.1MiB live, 2.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	8.915732886442687e-10	5.675670392119432e-8
1.0ms	1.452089286682401e-157	2.87360792840245e-152

Compiler

Compiled 538 to 268 computations (50.2% saved)

bsearch13.0ms (0.1%)

Memory

15.7MiB live, 15.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	5.675670392119432e-8	2.4226836732408035e-6

Samples

8.0ms	109×	0	valid
0.0ms	3×	1	valid

Compiler

Compiled 218 to 124 computations (43.1% saved)

Precisions

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

ival-div: 2.0ms (38.2% of total)

ival-mult: 1.0ms (19.1% of total)

ival-tanh: 1.0ms (19.1% 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)

bsearch6.0ms (0%)

Memory

6.8MiB live, 6.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	3.457544679442636e-32	4.645647304773861e-32

Samples

3.0ms

48×

valid

Compiler

Compiled 94 to 64 computations (31.9% saved)

Precisions

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

ival-div: 1.0ms (45.5% of total)

ival-mult: 1.0ms (45.5% of total)

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

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

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

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

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

bsearch31.0ms (0.3%)

Memory

-3.3MiB live, 35.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	9.905734749211074e-35	2.3230699043095836e-32
17.0ms	-9.997272561422437e+25	-8.4178483052451e+19

Samples

18.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 406 to 243 computations (40.1% saved)

Precisions

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

ival-div: 3.0ms (26% of total)

ival-mult: 3.0ms (26% of total)

ival-tanh: 2.0ms (17.3% of total)

ival-add: 1.0ms (8.7% of total)

ival-sub: 1.0ms (8.7% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	9.905734749211074e-35	2.3230699043095836e-32
1.0ms	-9.997272561422437e+25	-8.4178483052451e+19

Compiler

Compiled 406 to 259 computations (36.2% saved)

bsearch34.0ms (0.3%)

Memory

4.7MiB live, 43.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	3.745069260190426e-230	7.867208946985705e-228
18.0ms	-3.3318650652268526e-155	-4.281074095542242e-169

Samples

20.0ms	269×	0	valid
1.0ms	3×	1	valid

Compiler

Compiled 396 to 257 computations (35.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-div: 4.0ms (28.7% of total)

ival-mult: 4.0ms (28.7% of total)

ival-tanh: 4.0ms (28.7% of total)

ival-add: 1.0ms (7.2% of total)

ival-sub: 1.0ms (7.2% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch32.0ms (0.3%)

Memory

-39.0MiB live, 41.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	4.7818223279103044e+42	6.40585238056888e+43
17.0ms	-3.440211227218077e-39	-2.758026989113977e-43

Samples

19.0ms	219×	0	valid
1.0ms	5×	1	valid

Compiler

Compiled 330 to 201 computations (39.1% saved)

Precisions

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

ival-div: 3.0ms (28.3% of total)

ival-mult: 3.0ms (28.3% of total)

ival-tanh: 2.0ms (18.9% of total)

ival-add: 1.0ms (9.4% of total)

ival-sub: 1.0ms (9.4% of total)

adjust: 0.0ms (0% of total)

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

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

simplify14.0ms (0.1%)

Memory

27.6MiB live, 27.6MiB allocated

Algorithm

1×	egg-herbie

Rules

15×	`*-commutative_binary64`
10×	`+-commutative_binary64`
8×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	163	1129
1	189	1129
2	201	1129
3	208	1129
4	211	1129

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal 49999999999999998687031353699551596695485163525967572028943426393938563525426862697311822511311134052493407009520377229489628868728398081379959863903614749283655571301903155398941749771244621600913466974781404474522397885740737363968 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 5038209258419659/125955231460491477573475786427621032361709434041052227527609040505093074454480376118282617542185112928074454067529947442741953744769736656487116570106253523089501067161322852174933318537813768637901361681988522625958449433505907473287200188342818373796829838966784 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (* (+ x t) (- t x)) (.f64 (neg.f64 x) x)) (+.f64 x t)) z x)) (if (<=.f64 y #s(literal 129999999999999995636626861805800841175465428901265201648715220559855616 binary64)) (+.f64 x (.f64 (.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x))))
(if (<=.f64 z #s(literal -6800000000000 binary64)) (fma.f64 (.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (if (<=.f64 z #s(literal 4707826301540011/6277101735386680763835789423207666416102355444464034512896 binary64)) #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 #s(approx (- t x) (neg.f64 x)) z x)) (fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)))
(if (<=.f64 y #s(literal 8262663183808241/1007641851683931820587806291420968258893675472328417820220872324040744595635843008946260940337480903424595632540239579541935629958157893251896932560850028184716008537290582817399466548302510149103210893455908181007667595468047259786297601506742546990374638711734272 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (/.f64 #s(approx (* (+ x t) (- t x)) (.f64 (neg.f64 x) x)) (+.f64 x t)) z x)) (if (<=.f64 y #s(literal 4830671903771573/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 binary64)) #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (fma.f64 #s(approx (+ (* t (/ z x)) (neg z)) (.f64 t (/.f64 z x))) x x))) (if (<=.f64 y #s(literal 5742397643169489/604462909807314587353088 binary64)) #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (- (+ (* (- t x) z) x) (/ (+ (* (+ (* (* -1/2 x) (* x x)) (+ (* (* 1/3 (* t t)) t) (* (* 1/6 (* x x)) x))) (/ z y)) 0) y)) #s(approx (+ (* (- 1 z) x) (* (neg z) (/ (* (* (* x x) x) -1/3) (* y y)))) (/.f64 #s(approx (+ (* (* x (* y y)) (- 1 z)) (* (* (* (* z x) x) x) 1/3)) (.f64 (.f64 y y) x)) (.f64 y y))))) #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 (-.f64 t x) z x)))))
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#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))

Outputs
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(if (<=.f64 x #s(literal -3824193548280723/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256 binary64)) #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 x #s(literal 8193656135122765/27312187117075883106631072934794271937104930088205959824983071996985496526101020964951786294769886374883040913790702552866360531575272919369168306390347079868805765445689403631464768659094790245289840706092591521717005303961503585448607241732096 binary64)) #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 (-.f64 #s(literal 1 binary64) z) x)))))
(if (<=.f64 x #s(literal -8428725474762389/3064991081731777716716694054300618367237478244367204352 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (.f64 #s(approx (- t x) (neg.f64 x)) z))) (if (<=.f64 x #s(literal 9500000000000000194300513075712407919132672 binary64)) #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (.f64 t z))) #s(approx (+ x ( (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z)))))
(if (<=.f64 x #s(literal -8428725474762389/3064991081731777716716694054300618367237478244367204352 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (.f64 #s(approx (- t x) (neg.f64 x)) z))) (if (<=.f64 x #s(literal 9500000000000000194300513075712407919132672 binary64)) #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 (+ (* (/ (* (+ x t) (- t x)) (+ x t)) z) x) (*.f64 #s(approx (- t x) (neg.f64 x)) z)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 t z)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* (- t x) z) x) (*.f64 z t)))

soundness1.5s (13%)

Memory

2.2MiB live, 1 122.7MiB allocated

Rules

7 638×	`lower-fma.f64`
7 638×	`lower-fma.f32`
7 389×	`lower-fma.f64`
7 389×	`lower-fma.f32`
5 678×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	828	28256
1	2818	22387
0	9472	21657
0	68	407
0	98	385
1	438	351
2	3967	351
0	8132	343
0	63	511
0	111	456
1	470	448
2	4363	448
0	9106	429
0	887	33591
1	2957	27880
0	8409	26990
0	439	9242
1	1484	6963
2	6159	6572
0	9215	6439
0	756	26267
1	2545	20578
0	9026	19955
0	12	44
0	20	44
1	99	44
2	871	44
0	8208	43

Stop Event

1×	fuel
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
1×	iter limit
1×	node limit

Compiler

Compiled 857 to 402 computations (53.1% saved)

preprocess248.0ms (2.1%)

Memory: 7.0MiB live, 164.6MiB allocated
Compiler: Compiled 926 to 286 computations (69.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze72.0ms (0.6%)

sample1.1s (9.4%)

explain483.0ms (4.1%)

preprocess227.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify165.0ms (1.4%)

localize45.0ms (0.4%)

series55.0ms (0.5%)

simplify412.0ms (3.5%)

rewrite305.0ms (2.6%)

eval98.0ms (0.8%)

prune101.0ms (0.9%)

simplify245.0ms (2.1%)

localize711.0ms (6%)

series400.0ms (3.4%)

simplify323.0ms (2.7%)

rewrite348.0ms (3%)

eval294.0ms (2.5%)

prune271.0ms (2.3%)

simplify155.0ms (1.3%)

localize229.0ms (1.9%)

series120.0ms (1%)

simplify311.0ms (2.6%)

rewrite367.0ms (3.1%)

eval267.0ms (2.3%)

prune277.0ms (2.3%)

simplify210.0ms (1.8%)

localize535.0ms (4.5%)

series136.0ms (1.2%)

simplify344.0ms (2.9%)

rewrite293.0ms (2.5%)

eval199.0ms (1.7%)

prune243.0ms (2.1%)

regimes104.0ms (0.9%)

regimes100.0ms (0.9%)

regimes37.0ms (0.3%)

regimes91.0ms (0.8%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0%)

regimes16.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

regimes8.0ms (0.1%)

regimes4.0ms (0%)

bsearch45.0ms (0.4%)

bsearch31.0ms (0.3%)

bsearch31.0ms (0.3%)

bsearch45.0ms (0.4%)

bsearch1.0ms (0%)

bsearch13.0ms (0.1%)

bsearch6.0ms (0%)

bsearch31.0ms (0.3%)

bsearch1.0ms (0%)

bsearch34.0ms (0.3%)

bsearch32.0ms (0.3%)

simplify14.0ms (0.1%)

soundness1.5s (13%)

preprocess248.0ms (2.1%)

end0.0ms (0%)

Profiling