Metrics for Hyperbolic sine

analyze0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 10 to 9 computations (10% saved)

sample1.6s (12.8%)

Memory

1.4MiB live, 4 662.9MiB allocated

Samples

642.0ms	1 479×	2	valid
406.0ms	2 421×	1	valid
279.0ms	4 356×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-exp: 808.0ms (73.5% of total)

ival-div: 101.0ms (9.2% of total)

ival-sub: 74.0ms (6.7% of total)

adjust: 66.0ms (6% of total)

ival-neg: 35.0ms (3.2% of total)

ival-true: 6.0ms (0.5% of total)

exact: 5.0ms (0.5% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

preprocess43.0ms (0.3%)

Memory

6.3MiB live, 123.4MiB allocated

Algorithm

1×	egg-herbie

Rules

276×	`lower-fma.f64`
276×	`lower-fma.f32`
180×	`lower-*.f64`
180×	`lower-*.f32`
88×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	32	16
2	76	16
3	173	16
4	346	16
5	508	16
6	531	16
0	7	8
0	12	8
1	23	8
2	40	8
3	67	8
4	109	8
5	168	8
6	227	8
7	349	8
8	410	8
9	419	8
0	419	8

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))

Symmetry

(negabs x)

explain148.0ms (1.2%)

Memory

10.1MiB live, 381.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
112	-	-	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
0	-	-	`(exp.f64 x)`
0	-	-	`(exp.f64 (neg.f64 x))`
0	-	-	`(neg.f64 x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`	cancellation	112	0

Confusion

	Predicted +	Predicted -
+	112	0
-	0	144

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	112	0	0
-	0	0	144

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	144
1	112

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

44.0ms	94×	2	valid
20.0ms	122×	1	valid
20.0ms	296×	0	valid

Compiler

Compiled 68 to 32 computations (52.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-exp: 42.0ms (70.2% of total)

ival-sub: 6.0ms (10% of total)

ival-div: 5.0ms (8.4% of total)

adjust: 4.0ms (6.7% of total)

ival-neg: 2.0ms (3.3% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.9%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify21.0ms (0.2%)

Memory

-12.5MiB live, 26.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f64 (neg.f64 x))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	cost-diff	384	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Rules

276×	`lower-fma.f64`
276×	`lower-fma.f32`
180×	`lower-*.f64`
180×	`lower-*.f32`
88×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	12	23
1	23	23
2	40	23
3	67	23
4	109	23
5	168	23
6	227	23
7	349	23
8	410	23
9	419	23
0	419	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(literal 2 binary64)

Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(literal 2 binary64)

localize95.0ms (0.7%)

Memory

-19.8MiB live, 99.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(exp.f64 (neg.f64 x))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	59.9%	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Samples

20.0ms	47×	2	valid
9.0ms	61×	1	valid
9.0ms	148×	0	valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-exp: 22.0ms (73.5% of total)

ival-div: 3.0ms (10% of total)

adjust: 2.0ms (6.7% of total)

ival-sub: 2.0ms (6.7% of total)

ival-neg: 1.0ms (3.3% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())
#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())
#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (exp x) (exp (neg x))) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (exp x) (exp (neg x))) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (exp x) (exp (neg x))) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (exp x) (exp (neg x))) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* 1/2 x) 1))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (neg x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (neg x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (neg x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (neg x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/ (- (exp x) (exp (neg x))) 2)
1.0ms	x	@	-inf	(/ (- (exp x) (exp (neg x))) 2)
0.0ms	x	@	inf	(/ (- (exp x) (exp (neg x))) 2)
0.0ms	x	@	inf	(neg x)
0.0ms	x	@	0	(- (exp x) (exp (neg x)))

simplify427.0ms (3.4%)

Memory

10.0MiB live, 846.4MiB allocated

Algorithm

1×	egg-herbie

Rules

18 510×	`lower-fma.f64`
18 510×	`lower-fma.f32`
4 440×	`lower-*.f64`
4 440×	`lower-*.f32`
2 418×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	323
1	218	322
2	536	316
3	1389	316
4	2118	316
5	3210	316
6	3762	316
7	5168	316
8	6336	316
9	7581	316
0	8147	294

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 59

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)

Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/3 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)

rewrite155.0ms (1.2%)

Memory

17.7MiB live, 295.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 606×	`lower-/.f32`
1 604×	`lower-/.f64`
1 600×	`lower-*.f64`
1 600×	`lower-*.f32`
1 038×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	21
0	12	17
1	47	13
2	294	13
0	3072	13

Stop Event

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

Counts

5 → 297

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)

Outputs
(+.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))
(+.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))))
(+.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 x)))))
(+.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) (.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 x)))) (.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #s(literal -1 binary64)))
(-.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sinh.f64 x)))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))) #s(literal 2 binary64)) (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) (/.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)))
(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))) (/.f64 (exp.f64 (.f64 x #s(literal -3 binary64))) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (.f64 #s(literal 4 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (.f64 #s(literal 4 binary64) (cosh.f64 x))))
(-.f64 (/.f64 (.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(-.f64 (/.f64 (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) (/.f64 (.f64 (exp.f64 (.f64 x #s(literal -3 binary64))) #s(literal 1/8 binary64)) (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
(-.f64 (/.f64 (.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x)))) (/.f64 (.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 x)))))
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 x)))))
(fma.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64) (.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (.f64 #s(literal 1 binary64) (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 x)))))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 (exp.f64 x)) #s(literal -1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 (exp.f64 x)) #s(literal -1/2 binary64) (.f64 #s(literal 1 binary64) (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))))
(fma.f64 (neg.f64 (exp.f64 x)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 x)))))
(neg.f64 (neg.f64 (sinh.f64 x)))
(sinh.f64 x)
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (-.f64 (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (.f64 (exp.f64 (.f64 x #s(literal -3 binary64))) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (sinh.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) (.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sinh.f64 x))))
(/.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64)))) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64)))
(/.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64)))) (*.f64 #s(literal -2 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sinh.f64 x)))
(/.f64 (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (*.f64 #s(literal 4 binary64) (cosh.f64 x)))
(/.f64 (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (cosh.f64 x))))
(/.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64))))) (neg.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64))))) (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64))))) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) (neg.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) (.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) (.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (cosh.f64 x))))
(/.f64 (-.f64 (exp.f64 (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 x #s(literal -3 binary64)) #s(literal 3 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64)) (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 (neg.f64 x) x) #s(literal 3 binary64)))))))
(/.f64 (-.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (exp.f64 (.f64 (-.f64 (neg.f64 x) x) #s(literal 3 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64)) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))))
(/.f64 (-.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (exp.f64 (.f64 (-.f64 (neg.f64 x) x) #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 x)) (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) (-.f64 (neg.f64 x) x)))))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (.f64 (exp.f64 (.f64 x #s(literal -3 binary64))) #s(literal 1/8 binary64))) (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (exp.f64 (fma.f64 x #s(literal -2 binary64) (-.f64 (neg.f64 x) x)))) (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 x)) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (sinh.f64 x)) (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 (-.f64 (.f64 (exp.f64 x) (.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (exp.f64 x) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 (neg.f64 x))))) #s(literal -4 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)))
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(*.f64 #s(literal -2 binary64) (neg.f64 (sinh.f64 x)))
(.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))))
(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))))
(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (sinh.f64 x) #s(literal -2 binary64)))
(.f64 (.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))))
(.f64 (cosh.f64 x) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (cosh.f64 x)))
(.f64 #s(literal 4 binary64) (.f64 (sinh.f64 x) #s(literal 1/2 binary64)))
(.f64 (neg.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))))
(.f64 (neg.f64 (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (cosh.f64 x))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))) (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))))
(.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)))
(.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal -2 binary64))) #s(literal -1/2 binary64))
(.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) (.f64 #s(literal 2 binary64) (sinh.f64 x)))
(.f64 (/.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 x #s(literal -3 binary64)))) (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 3 binary64)))) (-.f64 (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))) (fma.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (-.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))
(.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x))))
(exp.f64 x)
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(exp.f64 (neg.f64 x))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 (neg.f64 x))))
(neg.f64 (neg.f64 (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x))))
(*.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))))
(log.f64 (exp.f64 (neg.f64 x)))
(+.f64 (neg.f64 x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (exp.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) (.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x))
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 x (log.f64 (exp.f64 #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(neg.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (neg.f64 (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x))))
(/.f64 (neg.f64 (.f64 x (.f64 x x))) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 x x)) x)
(/.f64 (neg.f64 (neg.f64 (.f64 x (.f64 x x)))) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) (neg.f64 x))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 0 binary64) (neg.f64 x)))
(*.f64 x #s(literal -1 binary64))
(*.f64 x (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) x)
(.f64 (neg.f64 (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (neg.f64 (.f64 x x)) (/.f64 #s(literal 1 binary64) x))

eval38.0ms (0.3%)

Memory: -9.9MiB live, 105.1MiB allocated
Compiler: Compiled 6 382 to 935 computations (85.3% saved)

prune89.0ms (0.7%)

Memory

4.2MiB live, 125.7MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	351	5	356
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	352	5	357

Accuracy

100.0%

Counts

357 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.5%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
▶	100.0%	(sinh.f64 x)
▶	88.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x))
▶	80.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
▶	91.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))

Compiler

Compiled 140 to 76 computations (45.7% saved)

simplify422.0ms (3.3%)

Memory

-29.8MiB live, 780.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Program
✓	cost-diff	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
✓	cost-diff	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
✓	cost-diff	#s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
✓	cost-diff	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
✓	cost-diff	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
✓	cost-diff	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
✓	cost-diff	(.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)
✓	cost-diff	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x))
✓	cost-diff	(*.f64 x #s(literal 1/6 binary64))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)
✓	cost-diff	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
✓	cost-diff	(sinh.f64 x)

Rules

15 788×	`lower-fma.f32`
15 770×	`lower-fma.f64`
3 906×	`lower-*.f32`
3 890×	`lower-*.f64`
2 492×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	302
0	65	284
1	159	284
2	411	278
3	1075	278
4	1999	278
5	3683	278
6	3874	278
7	4674	278
8	6004	278
9	7059	278
10	7632	278
0	8277	272

Stop Event

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

Calls

Call 1

Inputs
(sinh.f64 x)
x
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)
(*.f64 x x)
x
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)
(*.f64 x x)
x
(.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 x #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
x
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 x x)
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
(*.f64 x #s(literal 1/5040 binary64))
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
x
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(*.f64 x x)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
#s(literal 1/2520 binary64)
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)

Outputs
(sinh.f64 x)
x
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)) x))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)) x)
(*.f64 x x)
x
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) x))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) x)
(*.f64 x x)
x
(.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 x #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) x))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) x)
x
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 x x)
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
(*.f64 x #s(literal 1/5040 binary64))
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
#s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
x
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(*.f64 x x)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
#s(literal 1/2520 binary64)
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)

localize229.0ms (1.8%)

Memory

24.3MiB live, 527.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
✓	accuracy	99.9%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
✓	accuracy	91.5%	#s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
✓	accuracy	99.9%	(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
✓	accuracy	99.9%	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
✓	accuracy	99.9%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
✓	accuracy	91.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
✓	accuracy	99.8%	(*.f64 x #s(literal 1/120 binary64))
✓	accuracy	99.8%	(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
✓	accuracy	99.7%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
✓	accuracy	88.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	80.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
✓	accuracy	100.0%	(sinh.f64 x)

Samples

65.0ms	47×	2	valid
52.0ms	61×	1	valid
45.0ms	148×	0	valid

Compiler

Compiled 248 to 43 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 136.0ms

const: 41.0ms (30% of total)

ival-mult: 35.0ms (25.7% of total)

ival-exp: 21.0ms (15.4% of total)

ival-add: 19.0ms (13.9% of total)

adjust: 12.0ms (8.8% of total)

ival-div: 3.0ms (2.2% of total)

ival-sub: 2.0ms (1.5% of total)

ival-sinh: 2.0ms (1.5% 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)

series25.0ms (0.2%)

Memory

2.6MiB live, 56.8MiB allocated

Counts

21 → 252

Calls

Call 1

Inputs
#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x) (patch (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) (patch (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (patch (/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (patch #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (patch (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1/120 binary64)) (patch (.f64 x #s(literal 1/120 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (patch (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (exp (neg x)))) (taylor inf x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (exp (neg x)))) (taylor inf x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (exp (neg x)))) (taylor inf x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (exp (neg x)))) (taylor inf x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x) (patch (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x) (patch (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x) (patch (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x) (patch (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 3)) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x) (patch (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x) (patch (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x) (patch (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x) (patch (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 3)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x) (patch (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x) (patch (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x) (patch (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2520 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/3 (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (* 1/60 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2520 (pow x 4)) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2520 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())

Calls

63 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(* x 1/120)
2.0ms	x	@	inf	(* x (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1))
1.0ms	x	@	-inf	(sinh x)
1.0ms	x	@	inf	(sinh x)
1.0ms	x	@	inf	(* x (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/2520) 1/60)) 1/3)) 2))

simplify451.0ms (3.5%)

Memory

15.7MiB live, 690.6MiB allocated

Algorithm

1×	egg-herbie

Rules

13 992×	`lower-fma.f64`
13 992×	`lower-fma.f32`
4 086×	`lower-*.f64`
4 086×	`lower-*.f32`
3 014×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	154	2164
1	517	2104
2	1379	2080
3	3827	2076
4	7709	2076
0	8015	1942

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 244

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* 1/6 (pow x 2))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* 1/120 (pow x 5))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/120 (pow x 5))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
(* 1/6 x)
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* 1/120 (pow x 3))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 3))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
1/6
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* 1/120 (pow x 2)))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* 1/5040 (pow x 3))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 3))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
1/120
(+ 1/120 (* 1/5040 (pow x 2)))
(+ 1/120 (* 1/5040 (pow x 2)))
(+ 1/120 (* 1/5040 (pow x 2)))
(* 1/5040 (pow x 2))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 2))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
1/60
(+ 1/60 (* 1/2520 (pow x 2)))
(+ 1/60 (* 1/2520 (pow x 2)))
(+ 1/60 (* 1/2520 (pow x 2)))
(* 1/2520 (pow x 2))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 2))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
1/3
(+ 1/3 (* 1/60 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))

Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
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(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/3 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* 1/2520 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (.f64 x x))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/2520 binary64) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/2520 binary64) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* 1/2520 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/2520 binary64) (/.f64 (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))
2
#s(literal 2 binary64)
(+ 2 (* 1/3 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(* 1/2520 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2520 binary64) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2520 binary64) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 2 binary64))
(* 1/2520 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2520 binary64) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2520 binary64) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 2 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* 1/120 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* 1/120 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* 1/5040 (pow x 3))
(.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* 1/5040 (pow x 3))
(.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* 1/5040 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* 1/5040 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* 1/5040 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
1/60
#s(literal 1/60 binary64)
(+ 1/60 (* 1/2520 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(+ 1/60 (* 1/2520 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(+ 1/60 (* 1/2520 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(* 1/2520 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2520 binary64))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(* 1/2520 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2520 binary64))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/60 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(* 1/2520 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2520 binary64)))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x #s(literal 1/60 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x #s(literal 1/60 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* 1/2520 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/2520 binary64)))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x #s(literal 1/60 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x #s(literal 1/60 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x)))))))

rewrite397.0ms (3.1%)

Memory

0.4MiB live, 795.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 908×	`lower-fma.f32`
5 890×	`lower-fma.f64`
4 172×	`lower-*.f32`
4 156×	`lower-*.f64`
3 100×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	263
0	65	241
1	302	235
2	2267	235
0	8201	229

Stop Event

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

Counts

21 → 475

Calls

Call 1

Inputs
(sinh.f64 x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)
(*.f64 x x)
(*.f64 x #s(literal 1/6 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)
(.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 x #s(literal 1/120 binary64))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))

Outputs
(+.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (neg.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal -2 binary64)))
(-.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))) #s(literal 2 binary64)) (/.f64 (/.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) (/.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)))
(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))))) (/.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x)))) (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(-.f64 (/.f64 (.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)))
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(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) #s(literal 1/27 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))))) (.f64 x (.f64 (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))))) (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64)) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) #s(literal 1/27 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal 1/9 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))))))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/16003008000 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64)))) (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64))))) #s(literal 3 binary64)) (.f64 #s(literal 1/216000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64))))) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64))))) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/60 binary64)) (.f64 (.f64 x x) #s(literal 1/60 binary64))) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2520 binary64))))) (.f64 (.f64 x x) #s(literal 1/60 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) (/.f64 (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) (.f64 (/.f64 (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64)))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal 1/9 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) #s(literal 1/27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal 1/9 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))))))
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))))

eval110.0ms (0.9%)

Memory: -10.9MiB live, 297.7MiB allocated
Compiler: Compiled 25 436 to 2 106 computations (91.7% saved)

prune516.0ms (4.1%)

Memory

-226.9MiB live, 386.9MiB allocated

Pruning

25 alts after pruning (21 fresh and 4 done)

	Pruned	Kept	Total
New	798	21	819
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	799	25	824

Accuracy

100.0%

Counts

824 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.5%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
	68.9%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
	68.9%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
	91.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))))
	91.5%	(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
✓	100.0%	(sinh.f64 x)
	91.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x))
	88.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x))
	80.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x))
✓	88.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x))
	87.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) x))
✓	80.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
▶	87.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))) x))
▶	91.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x))) x))
	91.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
	91.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
▶	91.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x #s(literal 1 binary64))))
	68.9%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
✓	91.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
	91.4%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
	91.4%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(approx (* x (+ (* x (* x 1/5040)) 1/120)) (.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
	80.6%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))
▶	46.6%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))))
	46.9%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))))
	39.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))))

Compiler

Compiled 880 to 455 computations (48.3% saved)

simplify623.0ms (4.9%)

Memory

-15.7MiB live, 780.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
✓	cost-diff	0	#s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
✓	cost-diff	0	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
✓	cost-diff	640	(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))
✓	cost-diff	0	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
✓	cost-diff	0	(fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x #s(literal 1 binary64))
✓	cost-diff	0	(.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x #s(literal 1 binary64)))
✓	cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x #s(literal 1 binary64))))
✓	cost-diff	0	#s(approx (* x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))) x)
✓	cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))) x))
✓	cost-diff	0	#s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))
✓	cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))))
✓	cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
✓	cost-diff	0	(.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)))
✓	cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x))) x))
✓	cost-diff	128	(+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x))) x)

Rules

14 046×	`lower-fma.f32`
14 032×	`lower-fma.f64`
4 148×	`lower-*.f32`
4 130×	`lower-*.f64`
2 100×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	495
0	77	454
1	199	442
2	453	442
3	1189	442
4	2144	442
5	3181	442
6	3574	442
7	4590	442
8	5730	442
9	6361	442
10	6708	442
11	7386	442
0	8084	435

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x))) x))
(+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x))) x)
(.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 x x)
x
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(.f64 x (.f64 x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))))
(.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))
x
#s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))) x))
(fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))) x)
(*.f64 x x)
x
#s(approx (* x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))
(.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))
#s(literal 1/120 binary64)
(.f64 x (.f64 x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x #s(literal 1 binary64))))
(.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x #s(literal 1 binary64)))
x
(fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x #s(literal 1 binary64))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 x x)
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
x
(fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))
(*.f64 x x)
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))
(.f64 (.f64 x x) (*.f64 x x))
#s(literal 1/2520 binary64)
(fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x))
(+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x))) x)
(fma.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)
(.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)))
(.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 x x)
x
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(.f64 x (.f64 x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))))
(.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))
x
#s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x))
(fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))) x)
(fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)
(*.f64 x x)
x
#s(approx (* x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))
#s(approx (* x (+ (* x (* x 1/120)) 1/6)) (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))
#s(literal 1/120 binary64)
(.f64 x (.f64 x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x))
(.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x #s(literal 1 binary64)))
(fma.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)
x
(fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 x x)
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
x
(fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))
(*.f64 x x)
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 x (.f64 x (*.f64 x x)))
#s(literal 1/2520 binary64)
(fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)

localize302.0ms (2.4%)

Memory

26.3MiB live, 584.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
✓	accuracy	99.7%	(.f64 (.f64 x x) (*.f64 x x))
✓	accuracy	91.5%	#s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
✓	accuracy	99.9%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
✓	accuracy	99.7%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
✓	accuracy	91.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x #s(literal 1 binary64))))
✓	accuracy	99.9%	(.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	88.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))) x))
✓	accuracy	58.2%	#s(approx (* x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))
✓	accuracy	100.0%	(.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))
✓	accuracy	91.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))))
✓	accuracy	45.6%	#s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
✓	accuracy	99.9%	(.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	91.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x))) x))

Samples

92.0ms	47×	2	valid
55.0ms	148×	0	valid
48.0ms	61×	1	valid

Compiler

Compiled 373 to 52 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 167.0ms

const: 59.0ms (35.4% of total)

ival-mult: 46.0ms (27.6% of total)

ival-exp: 23.0ms (13.8% of total)

ival-add: 20.0ms (12% of total)

adjust: 12.0ms (7.2% of total)

ival-div: 3.0ms (1.8% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory

-18.5MiB live, 59.3MiB allocated

Counts

25 → 300

Calls

Call 1

Inputs
#s(alt (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x) (patch (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) (patch (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))) (patch (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x)))) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x)))) x) (patch (fma.f64 (.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))) x) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (* x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x)))) (patch #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x #s(literal 1 binary64)))) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x #s(literal 1 binary64))) (patch (.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x #s(literal 1 binary64)) (patch (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64)) (patch (/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) (patch #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))) (patch (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 x) (#s(alt (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x) (patch (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x) (patch (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) (taylor 0 x) (#s(alt (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x) (patch (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) (taylor 0 x) (#s(alt (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x) (patch (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 7)) (taylor inf x) (#s(alt (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x) (patch (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x) (patch (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x) (patch (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) (taylor inf x) (#s(alt (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x) (patch (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 7)) (taylor -inf x) (#s(alt (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x) (patch (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x) (patch (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) (taylor -inf x) (#s(alt (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x) (patch (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))) (taylor -inf x) (#s(alt (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x) (patch (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (exp (neg x)))) (taylor inf x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (exp (neg x)))) (taylor inf x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (exp (neg x)))) (taylor inf x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (exp (neg x)))) (taylor inf x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x)) #<representation binary64>) () ())) ())
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#s(alt (+ 1/120 (* 1/5040 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/120 (* 1/5040 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/120 (* 1/5040 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow x 3)) (taylor 0 x) (#s(alt (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))) (patch (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow x 3)) (taylor 0 x) (#s(alt (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))) (patch (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow x 3)) (taylor 0 x) (#s(alt (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))) (patch (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow x 3)) (taylor 0 x) (#s(alt (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))) (patch (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow x 3)) (taylor inf x) (#s(alt (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))) (patch (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow x 3)) (taylor inf x) (#s(alt (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))) (patch (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow x 3)) (taylor inf x) (#s(alt (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))) (patch (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow x 3)) (taylor inf x) (#s(alt (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))) (patch (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow x 3)) (taylor -inf x) (#s(alt (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))) (patch (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow x 3)) (taylor -inf x) (#s(alt (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))) (patch (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow x 3)) (taylor -inf x) (#s(alt (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))) (patch (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow x 3)) (taylor -inf x) (#s(alt (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))) (patch (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt 1/3 (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (* 1/60 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (* 1/60 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (* 1/60 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/60 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/60 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 1/3 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2520 (pow x 6)) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2520 (pow x 6)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())

Calls

75 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(+ (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (* x (* x x))) x)
0.0ms	x	@	-inf	(* x (* x x))
0.0ms	x	@	inf	(+ (* (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (* x (* x x))) x)
0.0ms	x	@	-inf	(* 1/120 (* x (* x x)))
0.0ms	x	@	0	(* (* x x) (* x x))

simplify505.0ms (4%)

Memory

18.9MiB live, 620.3MiB allocated

Algorithm

1×	egg-herbie

Rules

13 972×	`lower-fma.f64`
13 972×	`lower-fma.f32`
4 318×	`lower-*.f64`
4 318×	`lower-*.f32`
2 964×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	156	2874
1	541	2820
2	1462	2778
3	4048	2768
4	7794	2768
0	8104	2620

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 291

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
1/6
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(* 1/5040 (pow x 4))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/5040 (pow x 4))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* 1/120 (pow x 5))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/120 (pow x 5))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/6 x)
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* 1/120 (pow x 3))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 3))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/6 x)
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* 1/5040 (pow x 5))
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/5040 (pow x 5))
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
1/3
(+ 1/3 (* 1/60 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
1/120
(+ 1/120 (* 1/5040 (pow x 2)))
(+ 1/120 (* 1/5040 (pow x 2)))
(+ 1/120 (* 1/5040 (pow x 2)))
(* 1/5040 (pow x 2))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 2))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
1/3
(+ 1/3 (* 1/60 (pow x 2)))
(+ 1/3 (* 1/60 (pow x 2)))
(+ 1/3 (* 1/60 (pow x 2)))
(* 1/60 (pow x 2))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/60 (pow x 2))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))

Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) x)
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 1/5040 binary64) (/.f64 (-.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (+.f64 (/.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/5040 binary64))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) x)
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/6 (* 1/120 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)))
(* (pow x 3) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)))
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 1/5040 binary64) (/.f64 (-.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (*.f64 x x))))
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(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 x x)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 2 binary64))

rewrite605.0ms (4.8%)

Memory

-25.9MiB live, 974.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 698×	`lower-fma.f32`
6 684×	`lower-fma.f64`
4 492×	`lower-*.f32`
4 474×	`lower-*.f64`
3 342×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	446
0	77	395
1	378	367
2	2461	367
0	8869	360

Stop Event

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

Counts

25 → 494

Calls

Call 1

Inputs
(+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x))) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x))) x))
(.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))))
(.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))
#s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))) x))
(fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))) x)
(*.f64 x x)
#s(approx (* x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x #s(literal 1 binary64))))
(.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x #s(literal 1 binary64)))
(fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x #s(literal 1 binary64))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(.f64 x (.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))

Outputs
(+.f64 x (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x))))
(+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x))) x)
(-.f64 (/.f64 (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) (neg.f64 x))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))))) (/.f64 (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)))) (-.f64 x (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))))))
(fma.f64 x #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x))))
(fma.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)
(fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) x)
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal 1 binary64) x (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x))))
(fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x)
(fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)))) (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))))) (fma.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) (neg.f64 x)) (.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) (neg.f64 x)))))
(/.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (fma.f64 x (-.f64 x (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)))) (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))))))
(/.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (fma.f64 x x (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x (*.f64 x x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)))) (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))))) (fma.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) (neg.f64 x)) (.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) (neg.f64 x))))))
(/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) (neg.f64 x))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)))) (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 x x (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x (*.f64 x x))))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) (neg.f64 x)))) (neg.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) (neg.f64 x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))))) (-.f64 x (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)))))
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(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (-.f64 #s(literal 4 binary64) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 (.f64 x x) #s(literal 2 binary64))))) (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))) #s(literal 8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))) #s(literal -4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (-.f64 #s(literal 4 binary64) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 (*.f64 x x) #s(literal 2 binary64)))))))
(.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal -2 binary64))))

eval149.0ms (1.2%)

Memory: 23.0MiB live, 449.9MiB allocated
Compiler: Compiled 39 949 to 2 505 computations (93.7% saved)

prune429.0ms (3.4%)

Memory

-21.1MiB live, 550.1MiB allocated

Pruning

29 alts after pruning (23 fresh and 6 done)

	Pruned	Kept	Total
New	1 096	13	1 109
Fresh	6	10	16
Picked	2	3	5
Done	1	3	4
Total	1 105	29	1 134

Accuracy

100.0%

Counts

1 134 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.4%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) #s(approx (+ ( (* x x) 1/60) 1/3) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
	68.9%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
	68.9%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
	91.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))))
✓	100.0%	(sinh.f64 x)
	91.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x))
	88.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x))
	80.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x))
▶	87.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))) x x))
✓	88.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x))
✓	80.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
	87.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 (.f64 x (*.f64 x #s(literal 1/120 binary64))) x)) x))
✓	87.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))) x))
	29.3%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (/.f64 (.f64 (fma.f64 (.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x)))) x) (-.f64 (.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))))) x)) (-.f64 (.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))) x)))
	54.8%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/36 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))
▶	91.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (*.f64 x x))) x))
✓	91.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x))) x))
	68.9%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x))
	91.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x x) (*.f64 x #s(literal 1/6 binary64))) x #s(literal 1 binary64))))
	53.0%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/36 binary64)) x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x #s(literal 1 binary64))))
▶	91.4%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) x #s(literal 1 binary64))))
	91.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))) x #s(literal 1 binary64))))
	91.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x)))))) x #s(literal 1 binary64))))
▶	68.9%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
	91.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 #s(approx ( x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))) x #s(literal 1 binary64))))
	80.6%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))
✓	46.6%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))))
	46.9%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))))
▶	39.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))))

Compiler

Compiled 1 158 to 548 computations (52.7% saved)

simplify321.0ms (2.5%)

Memory

12.3MiB live, 529.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
✓	cost-diff	0	(.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)))
✓	cost-diff	0	(fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) x #s(literal 1 binary64))
✓	cost-diff	0	(.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) x #s(literal 1 binary64)))
✓	cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) x #s(literal 1 binary64))))
✓	cost-diff	0	#s(approx (* x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))
✓	cost-diff	0	(.f64 x #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))))
✓	cost-diff	0	(fma.f64 (.f64 x #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))) x x)
✓	cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))) x x))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 1/6 binary64)))
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
✓	cost-diff	0	#s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
✓	cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))))
✓	cost-diff	0	(.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (*.f64 x x)))
✓	cost-diff	0	#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (*.f64 x x))) x))
✓	cost-diff	128	(+.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (*.f64 x x))) x)
✓	cost-diff	640	(fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))

Rules

11 132×	`lower-fma.f32`
11 114×	`lower-fma.f64`
4 970×	`lower-+.f32`
4 968×	`lower-+.f64`
2 826×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	606
0	94	550
1	199	522
2	388	520
3	992	520
4	1990	520
5	4155	520
6	5874	520
7	7714	520
0	8520	506

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (*.f64 x x))) x))
(+.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (*.f64 x x))) x)
(.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (*.f64 x x)))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(.f64 x (.f64 x (*.f64 x x)))
x
(.f64 x (.f64 x x))
(*.f64 x x)
#s(literal 1/5040 binary64)
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 x #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))))
#s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
x
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))) x x))
(fma.f64 (.f64 x #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))) x x)
(.f64 x #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))))
x
#s(approx (* x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))
(.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))
#s(literal 1/120 binary64)
(.f64 x (.f64 x x))
(*.f64 x x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) x #s(literal 1 binary64))))
(.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) x #s(literal 1 binary64)))
x
(fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) x #s(literal 1 binary64))
(.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)))
(fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))
(*.f64 x x)
#s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
#s(literal 1/5040 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
x
(fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 x x)
(fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))
(.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x)
(fma.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))
(.f64 (.f64 x x) (*.f64 x x))
#s(literal 1/25401600 binary64)
#s(literal -1/14400 binary64)
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))
#s(literal 1/5040 binary64)
#s(literal -1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (*.f64 x x))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x))
(+.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (*.f64 x x))) x)
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)
(.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (*.f64 x x)))
(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(.f64 x (.f64 x (*.f64 x x)))
x
(.f64 x (.f64 x x))
(*.f64 x x)
#s(literal 1/5040 binary64)
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(*.f64 x #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
#s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
x
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x))
(fma.f64 (.f64 x #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))) x x)
(fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)
(.f64 x #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))))
(.f64 x #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
x
#s(approx (* x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))
#s(approx (* x (+ (* x (* x 1/120)) 1/6)) (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))
#s(literal 1/120 binary64)
(.f64 x (.f64 x x))
(*.f64 x x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) x))
(.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) x #s(literal 1 binary64)))
(fma.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) x)
x
(fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) x #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)))
(fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))
(*.f64 x x)
#s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
#s(literal 1/5040 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (.f64 x (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) x))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (.f64 x (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) x)
x
(fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (.f64 x (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 x x)
(fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (.f64 x (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))
(.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x)
(.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)))
(fma.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 x (.f64 x (*.f64 x x)))
#s(literal 1/25401600 binary64)
#s(literal -1/14400 binary64)
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))
#s(literal 1/5040 binary64)
#s(literal -1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)

localize314.0ms (2.5%)

Memory

-13.9MiB live, 582.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 (.f64 x x) (*.f64 x x))
✓	accuracy	99.6%	(fma.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))
✓	accuracy	91.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
✓	accuracy	74.4%	(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 1/5040 binary64))
✓	accuracy	99.7%	(.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)))
✓	accuracy	91.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) x #s(literal 1 binary64))))
✓	accuracy	57.0%	#s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 x #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))))
✓	accuracy	88.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))) x x))
✓	accuracy	58.2%	#s(approx (* x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/6 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	80.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))))
✓	accuracy	58.1%	#s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
✓	accuracy	99.8%	(*.f64 x #s(literal 1/120 binary64))
✓	accuracy	99.8%	(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
✓	accuracy	99.6%	(fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
✓	accuracy	91.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (*.f64 x x))) x))

Samples

81.0ms	47×	2	valid
72.0ms	148×	0	valid
49.0ms	61×	1	valid

Compiler

Compiled 459 to 55 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 169.0ms

ival-mult: 46.0ms (27.2% of total)

ival-add: 40.0ms (23.7% of total)

const: 38.0ms (22.5% of total)

ival-exp: 23.0ms (13.6% of total)

adjust: 13.0ms (7.7% of total)

ival-div: 6.0ms (3.5% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series25.0ms (0.2%)

Memory

13.6MiB live, 55.4MiB allocated

Counts

29 → 348

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 x x))) x) (patch (+.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 x x))) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 x x))) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 x x))) x)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 x x))) (patch (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 x x))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64)))))) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ ( (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64)))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))))) (patch #s(approx (+ ( (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64)))) (patch (.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x #s(literal 1/6 binary64))) (patch (.f64 x (.f64 x #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))))) x x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x #s(approx (* x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))) x x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))))) x x) (patch (fma.f64 (.f64 x #s(approx (* x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))) x x) #<representation binary64>) () ())
#s(alt (.f64 x #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))))) (patch (.f64 x #s(approx (* x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))) #<representation binary64>) () ())
#s(alt #s(approx (* x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x)))) (patch #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) x #s(literal 1 binary64)))) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) x #s(literal 1 binary64))) (patch (.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) x #s(literal 1 binary64)) (patch (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (patch (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1/120 binary64)) (patch (.f64 x #s(literal 1/120 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) (patch #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/5040 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())

Outputs
#s(alt 1/6 (taylor 0 x) (#s(alt (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* 1/120 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 4)) (taylor inf x) (#s(alt (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (+.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 x x))) x) (patch (+.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (+.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 x x))) x) (patch (+.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) (taylor 0 x) (#s(alt (+.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 x x))) x) (patch (+.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) (taylor 0 x) (#s(alt (+.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 x x))) x) (patch (+.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 7)) (taylor inf x) (#s(alt (+.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 x x))) x) (patch (+.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (+.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 x x))) x) (patch (+.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (+.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 x x))) x) (patch (+.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 x x))) x) #<representation binary64>) () ())) ())
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#s(alt (* 1/5040 (pow x 2)) (taylor inf x) (#s(alt #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) (patch #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) (patch #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) (patch #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) (patch #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) (patch #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) (patch #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) (patch #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) (patch #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/5040 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/5040 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/5040 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/5040 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/5040 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/5040 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/5040 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/5040 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/5040 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/5040 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/5040 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/5040 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 x) (taylor 0 x) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/120 (* 1/5040 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/120 (* 1/5040 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/120 (* 1/5040 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 3)) (taylor inf x) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/5040 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt -1/14400 (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/25401600 (pow x 4)) 1/14400) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/25401600 (pow x 4)) 1/14400) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/25401600 (pow x 4)) 1/14400) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/25401600 (pow x 4)) (taylor inf x) (#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4))))) (taylor inf x) (#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4))))) (taylor inf x) (#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4))))) (taylor inf x) (#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/25401600 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())

Calls

87 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(/ (* (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) x) (+ (* (* x x) 1/5040) -1/120))
0.0ms	x	@	0	(/ (* (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) x) (+ (* (* x x) 1/5040) -1/120))
0.0ms	x	@	inf	(* x (+ (* (* x x) (+ (* x (/ (* (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) x) (+ (* (* x x) 1/5040) -1/120))) 1/6)) 1))
0.0ms	x	@	0	(* x (+ (* (* x x) (+ (* x (/ (* (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) x) (+ (* (* x x) 1/5040) -1/120))) 1/6)) 1))
0.0ms	x	@	inf	(* (* x x) 1/5040)

simplify246.0ms (1.9%)

Memory

16.0MiB live, 491.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 682×	`lower-fma.f64`
8 682×	`lower-fma.f32`
3 782×	`lower-*.f64`
3 782×	`lower-*.f32`
1 236×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	118	2862
1	398	2786
2	1027	2759
3	2656	2754
4	5907	2754
0	8158	2569

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 338

Calls

Call 1

Inputs
1/6
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(* 1/5040 (pow x 4))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/5040 (pow x 4))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* 1/6 (pow x 2))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* 1/120 (pow x 5))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/120 (pow x 5))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/6 x)
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* 1/120 (pow x 3))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 3))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/6 x)
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* 1/5040 (pow x 5))
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/5040 (pow x 5))
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1/6
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* 1/120 (pow x 2)))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
1/120
(+ 1/120 (* 1/5040 (pow x 2)))
(+ 1/120 (* 1/5040 (pow x 2)))
(+ 1/120 (* 1/5040 (pow x 2)))
(* 1/5040 (pow x 2))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 2))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/120 x)
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* 1/5040 (pow x 3))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 3))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
-1/14400
(- (* 1/25401600 (pow x 4)) 1/14400)
(- (* 1/25401600 (pow x 4)) 1/14400)
(- (* 1/25401600 (pow x 4)) 1/14400)
(* 1/25401600 (pow x 4))
(* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))
(* 1/25401600 (pow x 4))
(* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)

Outputs
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow x 2)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(* 1/5040 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(* 1/5040 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) x)
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))))
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) x)
(* 1/2 (- (exp x) (exp (neg x))))
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(.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* 1/5040 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
-1/14400
#s(literal -1/14400 binary64)
(- (* 1/25401600 (pow x 4)) 1/14400)
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))
(- (* 1/25401600 (pow x 4)) 1/14400)
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))
(- (* 1/25401600 (pow x 4)) 1/14400)
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))
(* 1/25401600 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))
(* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))
(* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))
(* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))
(* 1/25401600 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))
(* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))
(* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))
(* (pow x 4) (- 1/25401600 (* 1/14400 (/ 1 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))

rewrite394.0ms (3.1%)

Memory

14.8MiB live, 804.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 978×	`lower-fma.f32`
6 960×	`lower-fma.f64`
4 912×	`lower-*.f32`
4 880×	`lower-*.f64`
4 106×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	501
0	94	445
1	367	379
2	2613	379
0	9300	364

Stop Event

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

Counts

29 → 474

Calls

Call 1

Inputs
(fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(+.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (*.f64 x x))) x)
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (*.f64 x x))) x))
(.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (*.f64 x x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))))
#s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))) x x))
(fma.f64 (.f64 x #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))) x x)
(.f64 x #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))))
#s(approx (* x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) x #s(literal 1 binary64))))
(.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) x #s(literal 1 binary64)))
(fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) x #s(literal 1 binary64))
(.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 x x)
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 x #s(literal 1/120 binary64))
(*.f64 x #s(literal 1/6 binary64))
(.f64 x (.f64 x x))
#s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))
(fma.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))
(.f64 (.f64 x x) (*.f64 x x))

Outputs
(+.f64 #s(literal 1/6 binary64) (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x #s(literal 1/120 binary64)))))
(+.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))
(+.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))
(+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(+.f64 (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x #s(literal 1/120 binary64)))) #s(literal 1/6 binary64))
(+.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) (.f64 x (*.f64 x #s(literal 1/120 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))))) (-.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))
(-.f64 (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))))) (-.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x #s(literal 1/120 binary64)))) (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x #s(literal 1/120 binary64))))) (-.f64 (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x #s(literal 1/120 binary64)))) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x #s(literal 1/120 binary64)))) #s(literal 1/6 binary64))))
(fma.f64 x (.f64 x #s(literal 1/120 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))
(fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(fma.f64 (.f64 x x) #s(literal 1/120 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/5040 binary64)) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/120 binary64) (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))
(fma.f64 (.f64 x #s(literal 1/120 binary64)) x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/14400 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))
(fma.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))
(fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))) x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (.f64 x #s(literal 1/5040 binary64)) (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (-.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)))) (.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (-.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)))) (.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (-.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)))) (.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (-.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)))) (.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (-.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))
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(fma.f64 (.f64 x #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 x (.f64 x (*.f64 x #s(literal 1/120 binary64)))))) x x)
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(/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1/16390160963076096000000 binary64)) #s(literal 1/2985984000000 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/645241282560000 binary64) (+.f64 #s(literal 1/207360000 binary64) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))) #s(literal 1/14400 binary64)))))
(/.f64 (-.f64 #s(literal 1/207360000 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/645241282560000 binary64))) (-.f64 #s(literal -1/14400 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/645241282560000 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))) #s(literal 1/14400 binary64))) (.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))) #s(literal 1/14400 binary64)) #s(literal 1/207360000 binary64))) (.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))) #s(literal 1/14400 binary64)) (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/25401600 binary64))) #s(literal 1/14400 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1/16390160963076096000000 binary64) #s(literal -1/2985984000000 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/645241282560000 binary64) #s(literal 1/207360000 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/365783040000 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/645241282560000 binary64) #s(literal -1/207360000 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))) #s(literal 1/14400 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/207360000 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/645241282560000 binary64)))) (neg.f64 (-.f64 #s(literal -1/14400 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1/16390160963076096000000 binary64)) #s(literal 1/2985984000000 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/645241282560000 binary64) (+.f64 #s(literal 1/207360000 binary64) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64)))) #s(literal 1/14400 binary64))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/645241282560000 binary64) #s(literal 1/207360000 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/365783040000 binary64))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1/16390160963076096000000 binary64) #s(literal -1/2985984000000 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))) #s(literal 1/14400 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/645241282560000 binary64) #s(literal -1/207360000 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1/16390160963076096000000 binary64) #s(literal -1/2985984000000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/645241282560000 binary64) #s(literal 1/207360000 binary64)) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/365783040000 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/645241282560000 binary64) #s(literal -1/207360000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/25401600 binary64))) #s(literal 1/14400 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 (*.f64 x x))))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1 binary64))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 (.f64 x (*.f64 x x)) x)
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))

eval134.0ms (1.1%)

Memory: -0.4MiB live, 319.1MiB allocated
Compiler: Compiled 34 424 to 2 384 computations (93.1% saved)

prune279.0ms (2.2%)

Memory

6.6MiB live, 566.5MiB allocated

Pruning

37 alts after pruning (28 fresh and 9 done)

	Pruned	Kept	Total
New	1 004	20	1 024
Fresh	10	8	18
Picked	2	3	5
Done	0	6	6
Total	1 016	37	1 053

Accuracy

100.0%

Counts

1 053 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.4%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) #s(approx (+ ( (* x x) 1/60) 1/3) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
	68.9%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
	68.9%	(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
	91.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))))
✓	100.0%	(sinh.f64 x)
	91.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) x))
	87.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 x (.f64 x (*.f64 x #s(literal 1/120 binary64))))) x) x x))
	91.4%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x))
✓	87.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))) x x))
✓	88.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x))
✓	80.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
✓	87.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))) x))
	29.3%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (/.f64 (.f64 (fma.f64 (.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) 1/6)) (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64))))) x) (fma.f64 (.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) 1/6)) (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64))))) (neg.f64 x))) (fma.f64 (.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) 1/6)) (.f64 x (.f64 x (*.f64 x #s(literal 1/120 binary64))))) (neg.f64 x))))
	54.8%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/36 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))
	91.4%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) #s(approx (+ (* x (* x 1/120)) 1/6) #s(literal 1/6 binary64))) (.f64 x (.f64 x x))) x))
✓	91.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x))) x))
	68.9%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x))
	52.9%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal -1/6 binary64))) x #s(literal 1 binary64))))
	91.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))) x #s(literal 1 binary64))))
	91.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x)))))) x #s(literal 1 binary64))))
✓	68.9%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
	68.9%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
	68.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
	66.8%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
	68.9%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 x (fma.f64 (.f64 #s(literal 1/25401600 binary64) x) (.f64 x (.f64 x x)) #s(literal -1/14400 binary64))) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
	68.9%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 (fma.f64 (.f64 #s(literal 1/25401600 binary64) x) (.f64 x (.f64 x x)) #s(literal -1/14400 binary64)) (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
	91.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 #s(approx ( x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (.f64 (.f64 x x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) x #s(literal 1 binary64))))
	80.6%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 #s(approx ( x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))))
	59.5%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) x) 1) (fma.f64 (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1 binary64)))))
	50.3%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) x) 1) (.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))))))
	50.2%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) x) 1) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))
✓	46.6%	#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))))
	47.1%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x (* x (+ (* x (* x 1/120)) 1/6))) x) x) (.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))))
	46.9%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x (* x (+ (* x (* x 1/120)) 1/6))) x) x) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
	39.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64))))
	39.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))))
✓	39.7%	#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))))

Compiler

Compiled 2 056 to 633 computations (69.2% saved)

regimes137.0ms (1.1%)

Memory

-9.8MiB live, 81.3MiB allocated

Counts

60 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 #s(approx ( x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x (* x (+ (* x (* x 1/120)) 1/6))) x) x) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x (* x (+ (* x (* x 1/120)) 1/6))) x) x) (.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 (.f64 x (*.f64 x #s(literal 1/120 binary64))) x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 x (.f64 x (*.f64 x #s(literal 1/120 binary64))))) x) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) x) 1) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) x) 1) (.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 #s(approx ( x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 #s(approx ( x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (.f64 (.f64 x x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x)))))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(approx (* x (+ (* x (* x 1/5040)) 1/120)) (.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) #s(approx (+ (* x (* x 1/120)) 1/6) #s(literal 1/6 binary64))) (.f64 x (.f64 x x))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x x) (*.f64 x #s(literal 1/6 binary64))) x #s(literal 1 binary64))))
(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) #s(approx (+ ( (* x x) 1/60) 1/3) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (*.f64 x x))) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 (fma.f64 (.f64 #s(literal 1/25401600 binary64) x) (.f64 x (.f64 x x)) #s(literal -1/14400 binary64)) (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 x (fma.f64 (.f64 #s(literal 1/25401600 binary64) x) (.f64 x (.f64 x x)) #s(literal -1/14400 binary64))) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) x) 1) (fma.f64 (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1 binary64)))))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal -1/6 binary64))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/36 binary64)) x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (/.f64 (.f64 (fma.f64 (.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x)))) x) (-.f64 (.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))))) x)) (-.f64 (.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))) x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (/.f64 (.f64 (fma.f64 (.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) 1/6)) (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64))))) x) (fma.f64 (.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) 1/6)) (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64))))) (neg.f64 x))) (fma.f64 (.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) 1/6)) (.f64 x (.f64 x (*.f64 x #s(literal 1/120 binary64))))) (neg.f64 x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/36 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))
(sinh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Outputs
(sinh.f64 x)

Calls

3 calls:

89.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
30.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
15.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
100.0%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes172.0ms (1.3%)

Memory

0.9MiB live, 79.7MiB allocated

Counts

58 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 #s(approx ( x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x (* x (+ (* x (* x 1/120)) 1/6))) x) x) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x (* x (+ (* x (* x 1/120)) 1/6))) x) x) (.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 (.f64 x (*.f64 x #s(literal 1/120 binary64))) x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 x (.f64 x (*.f64 x #s(literal 1/120 binary64))))) x) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) x) 1) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) x) 1) (.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 #s(approx ( x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 #s(approx ( x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (.f64 (.f64 x x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x)))))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(approx (* x (+ (* x (* x 1/5040)) 1/120)) (.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) #s(approx (+ (* x (* x 1/120)) 1/6) #s(literal 1/6 binary64))) (.f64 x (.f64 x x))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x x) (*.f64 x #s(literal 1/6 binary64))) x #s(literal 1 binary64))))
(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) #s(approx (+ ( (* x x) 1/60) 1/3) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (*.f64 x x))) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 (fma.f64 (.f64 #s(literal 1/25401600 binary64) x) (.f64 x (.f64 x x)) #s(literal -1/14400 binary64)) (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 x (fma.f64 (.f64 #s(literal 1/25401600 binary64) x) (.f64 x (.f64 x x)) #s(literal -1/14400 binary64))) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) x) 1) (fma.f64 (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1 binary64)))))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal -1/6 binary64))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/36 binary64)) x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (/.f64 (.f64 (fma.f64 (.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x)))) x) (-.f64 (.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))))) x)) (-.f64 (.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))) x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (/.f64 (.f64 (fma.f64 (.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) 1/6)) (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64))))) x) (fma.f64 (.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) 1/6)) (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64))))) (neg.f64 x))) (fma.f64 (.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) 1/6)) (.f64 x (.f64 x (*.f64 x #s(literal 1/120 binary64))))) (neg.f64 x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/36 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))

Outputs

#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/36 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))

#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))

Calls

3 calls:

80.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
15.0ms	x
12.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
96.2%	2	`x`
91.5%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
91.5%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes42.0ms (0.3%)

Memory

-5.2MiB live, 34.2MiB allocated

Counts

57 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 #s(approx ( x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x (* x (+ (* x (* x 1/120)) 1/6))) x) x) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x (* x (+ (* x (* x 1/120)) 1/6))) x) x) (.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 (.f64 x (*.f64 x #s(literal 1/120 binary64))) x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 x (.f64 x (*.f64 x #s(literal 1/120 binary64))))) x) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) x) 1) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) x) 1) (.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 #s(approx ( x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 #s(approx ( x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (.f64 (.f64 x x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x)))))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(approx (* x (+ (* x (* x 1/5040)) 1/120)) (.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) #s(approx (+ (* x (* x 1/120)) 1/6) #s(literal 1/6 binary64))) (.f64 x (.f64 x x))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x x) (*.f64 x #s(literal 1/6 binary64))) x #s(literal 1 binary64))))
(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) #s(approx (+ ( (* x x) 1/60) 1/3) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (*.f64 x x))) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 (fma.f64 (.f64 #s(literal 1/25401600 binary64) x) (.f64 x (.f64 x x)) #s(literal -1/14400 binary64)) (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 x (fma.f64 (.f64 #s(literal 1/25401600 binary64) x) (.f64 x (.f64 x x)) #s(literal -1/14400 binary64))) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) x) 1) (fma.f64 (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1 binary64)))))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal -1/6 binary64))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/36 binary64)) x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (/.f64 (.f64 (fma.f64 (.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x)))) x) (-.f64 (.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))))) x)) (-.f64 (.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))) x)))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (/.f64 (.f64 (fma.f64 (.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) 1/6)) (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64))))) x) (fma.f64 (.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) 1/6)) (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64))))) (neg.f64 x))) (fma.f64 (.f64 x x) #s(approx (* x (+ (* x (* x 1/120)) 1/6)) (.f64 x (.f64 x (*.f64 x #s(literal 1/120 binary64))))) (neg.f64 x))))

Outputs

#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/36 binary64)) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x #s(literal 1 binary64))))

#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))

Calls

1 calls:

40.0ms

Results

Accuracy	Segments	Branch
94.4%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes46.0ms (0.4%)

Memory

-7.8MiB live, 32.7MiB allocated

Counts

54 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 #s(approx ( x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x (* x (+ (* x (* x 1/120)) 1/6))) x) x) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x (* x (+ (* x (* x 1/120)) 1/6))) x) x) (.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 (.f64 x (*.f64 x #s(literal 1/120 binary64))) x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 x (.f64 x (*.f64 x #s(literal 1/120 binary64))))) x) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) x) 1) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) x) 1) (.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 #s(approx ( x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 #s(approx ( x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (.f64 (.f64 x x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x)))))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(approx (* x (+ (* x (* x 1/5040)) 1/120)) (.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) #s(approx (+ (* x (* x 1/120)) 1/6) #s(literal 1/6 binary64))) (.f64 x (.f64 x x))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x x) (*.f64 x #s(literal 1/6 binary64))) x #s(literal 1 binary64))))
(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) #s(approx (+ ( (* x x) 1/60) 1/3) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (*.f64 x x))) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 (fma.f64 (.f64 #s(literal 1/25401600 binary64) x) (.f64 x (.f64 x x)) #s(literal -1/14400 binary64)) (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 x (fma.f64 (.f64 #s(literal 1/25401600 binary64) x) (.f64 x (.f64 x x)) #s(literal -1/14400 binary64))) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) x) 1) (fma.f64 (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1 binary64)))))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal -1/6 binary64))) x #s(literal 1 binary64))))

Outputs

#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 #s(approx (+ (* (* x x) 1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(approx (+ (* (* x x) 1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal -1/6 binary64))) x #s(literal 1 binary64))))

#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))

Calls

1 calls:

43.0ms

Results

Accuracy	Segments	Branch
94.3%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes67.0ms (0.5%)

Memory

1.2MiB live, 38.9MiB allocated

Counts

53 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 #s(approx ( x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x (* x (+ (* x (* x 1/120)) 1/6))) x) x) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x (* x (+ (* x (* x 1/120)) 1/6))) x) x) (.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 (.f64 x (*.f64 x #s(literal 1/120 binary64))) x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 x (.f64 x (*.f64 x #s(literal 1/120 binary64))))) x) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) x) 1) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) x) 1) (.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 #s(approx ( x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 #s(approx ( x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (.f64 (.f64 x x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x)))))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(approx (* x (+ (* x (* x 1/5040)) 1/120)) (.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) #s(approx (+ (* x (* x 1/120)) 1/6) #s(literal 1/6 binary64))) (.f64 x (.f64 x x))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 x x) (*.f64 x #s(literal 1/6 binary64))) x #s(literal 1 binary64))))
(.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) #s(approx (+ ( (* x x) 1/60) 1/3) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (*.f64 x x))) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 #s(approx (+ ( (* (* x x) (* x x)) 1/25401600) -1/14400) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 (fma.f64 (.f64 #s(literal 1/25401600 binary64) x) (.f64 x (.f64 x x)) #s(literal -1/14400 binary64)) (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 x (fma.f64 (.f64 #s(literal 1/25401600 binary64) x) (.f64 x (.f64 x x)) #s(literal -1/14400 binary64))) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25401600 binary64))) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (.f64 (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (.f64 x (.f64 x x))) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) x) 1) (fma.f64 (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1 binary64)))))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x))

Calls

1 calls:

64.0ms

Results

Accuracy	Segments	Branch
91.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes83.0ms (0.7%)

Memory

14.9MiB live, 52.4MiB allocated

Counts

30 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 #s(approx ( x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x (* x (+ (* x (* x 1/120)) 1/6))) x) x) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x (* x (+ (* x (* x 1/120)) 1/6))) x) x) (.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 (.f64 x (*.f64 x #s(literal 1/120 binary64))) x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 x (.f64 x (*.f64 x #s(literal 1/120 binary64))))) x) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) x) 1) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) x) 1) (.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 #s(approx ( x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 #s(approx ( x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (.f64 (.f64 x x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x)))))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(approx (* x (+ (* x (* x 1/5040)) 1/120)) (.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x #s(literal 1 binary64))))

Outputs

#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))

Calls

3 calls:

68.0ms	x
7.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
7.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
91.5%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
91.5%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
91.5%	1	`x`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes145.0ms (1.1%)

Memory

-34.1MiB live, 49.8MiB allocated

Counts

28 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 #s(approx ( x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x (* x (+ (* x (* x 1/120)) 1/6))) x) x) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x (* x (+ (* x (* x 1/120)) 1/6))) x) x) (.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 (.f64 x (*.f64 x #s(literal 1/120 binary64))) x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 x (.f64 x (*.f64 x #s(literal 1/120 binary64))))) x) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) x) 1) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) x) 1) (.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 #s(approx ( x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 #s(approx ( x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (.f64 (.f64 x x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x)))))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(approx (* x (+ (* x (* x 1/5040)) 1/120)) (.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x))

Outputs

#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x))

Calls

3 calls:

71.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
65.0ms	x
6.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
91.4%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
91.4%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
91.4%	1	`x`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes70.0ms (0.5%)

Memory

9.7MiB live, 48.5MiB allocated

Counts

27 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 #s(approx ( x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x (* x (+ (* x (* x 1/120)) 1/6))) x) x) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x (* x (+ (* x (* x 1/120)) 1/6))) x) x) (.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 (.f64 x (*.f64 x #s(literal 1/120 binary64))) x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 x (.f64 x (*.f64 x #s(literal 1/120 binary64))))) x) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) x) 1) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) x) 1) (.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 #s(approx ( x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 #s(approx ( x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (.f64 (.f64 x x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x)))))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(approx (* x (+ (* x (* x 1/5040)) 1/120)) (.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(approx (+ ( x (* x 1/5040)) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) x #s(literal 1 binary64))))

Outputs

#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(approx (* x (+ (* x (* x 1/5040)) 1/120)) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))

Calls

3 calls:

56.0ms	x
6.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
6.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
91.4%	1	`x`
91.4%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
91.4%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes65.0ms (0.5%)

Memory

4.3MiB live, 43.3MiB allocated

Counts

23 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 #s(approx ( x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x (* x (+ (* x (* x 1/120)) 1/6))) x) x) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x (* x (+ (* x (* x 1/120)) 1/6))) x) x) (.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 (.f64 x (*.f64 x #s(literal 1/120 binary64))) x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 x (.f64 x (*.f64 x #s(literal 1/120 binary64))))) x) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) x) 1) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) x) 1) (.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 #s(approx ( x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 #s(approx ( x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (.f64 (.f64 x x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x)))))) x #s(literal 1 binary64))))

Outputs

#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 #s(approx (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) x #s(literal 1 binary64))))

Calls

3 calls:

54.0ms	x
5.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
5.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
91.1%	1	`x`
91.1%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
91.1%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes25.0ms (0.2%)

Memory

-2.8MiB live, 36.7MiB allocated

Counts

20 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 #s(approx ( x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x (* x (+ (* x (* x 1/120)) 1/6))) x) x) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x (* x (+ (* x (* x 1/120)) 1/6))) x) x) (.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 (.f64 x (*.f64 x #s(literal 1/120 binary64))) x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 x (.f64 x (*.f64 x #s(literal 1/120 binary64))))) x) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) x) 1) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) x) 1) (.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))))))

Outputs

#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x))

#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) x) 1) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))))))

Calls

3 calls:

14.0ms	x
5.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
5.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
91.5%	2	`x`
91.5%	2	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
91.5%	2	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes40.0ms (0.3%)

Memory

-8.0MiB live, 35.3MiB allocated

Counts

19 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 #s(approx ( x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x (* x (+ (* x (* x 1/120)) 1/6))) x) x) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x (* x (+ (* x (* x 1/120)) 1/6))) x) x) (.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 (.f64 x (*.f64 x #s(literal 1/120 binary64))) x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 x (.f64 x (*.f64 x #s(literal 1/120 binary64))))) x) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) x) 1) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))

Outputs

#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x))

#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) x) 1) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))

Calls

3 calls:

29.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
6.0ms	x
5.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
91.5%	2	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
91.5%	2	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
91.5%	2	`x`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes23.0ms (0.2%)

Memory

-6.8MiB live, 33.0MiB allocated

Counts

18 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 #s(approx ( x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x (* x (+ (* x (* x 1/120)) 1/6))) x) x) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x (* x (+ (* x (* x 1/120)) 1/6))) x) x) (.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 (.f64 x (*.f64 x #s(literal 1/120 binary64))) x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 x (.f64 x (*.f64 x #s(literal 1/120 binary64))))) x) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x))

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x))

Calls

3 calls:

6.0ms	x
4.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
4.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
88.1%	1	`x`
88.1%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
88.1%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes14.0ms (0.1%)

Memory

31.7MiB live, 31.7MiB allocated

Counts

16 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 #s(approx ( x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x (* x (+ (* x (* x 1/120)) 1/6))) x) x) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x (* x (+ (* x (* x 1/120)) 1/6))) x) x) (.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 (.f64 x (*.f64 x #s(literal 1/120 binary64))) x)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))) x x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 x (.f64 x (*.f64 x #s(literal 1/120 binary64))))) x) x x))

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))) x))

Calls

3 calls:

5.0ms	x
4.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
4.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
87.7%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
87.7%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
87.7%	1	`x`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes37.0ms (0.3%)

Memory

-15.5MiB live, 24.2MiB allocated

Counts

11 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 #s(approx ( x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x (* x (+ (* x (* x 1/120)) 1/6))) x) x) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x (* x (+ (* x (* x 1/120)) 1/6))) x) x) (.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64))))))

Outputs

#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x))

#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x (* x (+ (* x (* x 1/120)) 1/6))) x) x) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))))

Calls

3 calls:

30.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
4.0ms	x
3.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
88.0%	2	`x`
88.0%	2	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
88.0%	2	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes10.0ms (0.1%)

Memory

21.8MiB live, 21.8MiB allocated

Counts

10 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 #s(approx ( x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x (* x (+ (* x (* x 1/120)) 1/6))) x) x) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))

Outputs

#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x))

#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))

Calls

3 calls:

4.0ms	x
3.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
3.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
88.0%	2	`x`
88.0%	2	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
88.0%	2	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes31.0ms (0.2%)

Memory

-19.5MiB live, 20.2MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 #s(approx ( x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x))

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))

Calls

3 calls:

25.0ms	x
3.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
2.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
80.7%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
80.7%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
80.7%	1	`x`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes7.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 #s(approx ( x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64))))

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))

Calls

3 calls:

3.0ms	x
2.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
2.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
80.6%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
80.6%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
80.6%	1	`x`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes49.0ms (0.4%)

Memory

-29.8MiB live, 13.5MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64))))

Outputs

#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))))

#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))

Calls

3 calls:

44.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2.0ms	x
2.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
80.3%	2	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
80.3%	2	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
80.3%	2	`x`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes4.0ms (0%)

Memory

8.8MiB live, 8.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))))

Outputs
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))))

Calls

3 calls:

1.0ms	x
1.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
1.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
46.6%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
46.6%	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
46.6%	1	`x`

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch2.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	1.395158621181105e+61	7.514473578428158e+68

Samples

1.0ms

16×

valid

Compiler

Compiled 72 to 36 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

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

exact: 0.0ms (0% of total)

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

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

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
0.0ms	1.395158621181105e+61	7.514473578428158e+68

Compiler

Compiled 71 to 38 computations (46.5% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
0.0ms	1.395158621181105e+61	7.514473578428158e+68

Compiler

Compiled 71 to 36 computations (49.3% saved)

bsearch9.0ms (0.1%)

Memory

15.0MiB live, 15.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	4.029228038310145	10.279336351277177

Samples

4.0ms

80×

valid

Compiler

Compiled 192 to 106 computations (44.8% saved)

Precisions

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

ival-exp: 2.0ms (67.6% of total)

ival-div: 1.0ms (33.8% of total)

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

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

exact: 0.0ms (0% of total)

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

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

bsearch18.0ms (0.1%)

Memory

-27.2MiB live, 12.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	4.029228038310145	10.279336351277177

Samples

14.0ms

64×

valid

Compiler

Compiled 187 to 101 computations (46% saved)

Precisions

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

ival-exp: 12.0ms (91.1% of total)

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

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

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

exact: 0.0ms (0% of total)

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

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

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9603478780369168	56.1997086819806

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch5.0ms (0%)

Memory

9.3MiB live, 9.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	4.029228038310145	10.279336351277177

Samples

3.0ms

48×

valid

Compiler

Compiled 142 to 81 computations (43% saved)

Precisions

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

ival-exp: 1.0ms (60.1% of total)

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

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

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

exact: 0.0ms (0% of total)

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

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

bsearch10.0ms (0.1%)

Memory

17.6MiB live, 17.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.46340892492258673	4.029228038310145

Samples

5.0ms

96×

valid

Compiler

Compiled 120 to 71 computations (40.8% saved)

Precisions

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

ival-exp: 2.0ms (56% of total)

ival-div: 1.0ms (28% of total)

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

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

exact: 0.0ms (0% of total)

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

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

simplify65.0ms (0.5%)

Memory

-7.9MiB live, 31.7MiB allocated

Algorithm

1×	egg-herbie

Rules

76×	`*-commutative_binary64`
8×	`+-commutative_binary64`
6×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	160	921
1	205	921
2	210	921
3	213	921
4	214	921

Stop Event

1×

saturated

Calls

Call 1

Inputs
(sinh.f64 x)
(if (<=.f64 x #s(literal 19999999999999998987742705941480377339272900220268201461678080 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/36 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ ( (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x)))))
(if (<=.f64 x #s(literal 19999999999999998987742705941480377339272900220268201461678080 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/36 binary64)) x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x #s(literal 1 binary64)))) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x)))))
(if (<=.f64 x #s(literal 19999999999999998987742705941480377339272900220268201461678080 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal -1/6 binary64))) x #s(literal 1 binary64)))) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(approx (* x (+ (* x (* x 1/5040)) 1/120)) (.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 #s(approx ( x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))) x #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 11/2 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ (* (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) x) 1) (.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))))))
(if (<=.f64 x #s(literal 4278419646001971/562949953421312 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ (* (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) x) 1) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))) x))
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x (* x (+ (* x (* x 1/120)) 1/6))) x) x) (.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)))))))
(if (<=.f64 x #s(literal 2758454771764429/562949953421312 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x)))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal 5/2 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))))

Outputs
(sinh.f64 x)
(if (<=.f64 x #s(literal 19999999999999998987742705941480377339272900220268201461678080 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/36 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ ( (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x)))))
(if (<=.f64 x #s(literal 19999999999999998987742705941480377339272900220268201461678080 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (+.f64 x (/.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/36 binary64))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ ( (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x))))))))
(if (<=.f64 x #s(literal 19999999999999998987742705941480377339272900220268201461678080 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/36 binary64)) x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x #s(literal 1 binary64)))) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x)))))
(if (<=.f64 x #s(literal 19999999999999998987742705941480377339272900220268201461678080 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (/.f64 (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/36 binary64))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x #s(literal 1 binary64)))) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x))))))))
(if (<=.f64 x #s(literal 19999999999999998987742705941480377339272900220268201461678080 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal -1/6 binary64))) x #s(literal 1 binary64)))) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x)))))
(if (<=.f64 x #s(literal 19999999999999998987742705941480377339272900220268201461678080 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 x x))) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 x x)))) #s(literal -1/36 binary64))) (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/5040) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 x x))) #s(literal -1/6 binary64))) x #s(literal 1 binary64)))) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) (.f64 #s(literal 1/5040 binary64) (.f64 x x))) #s(literal 1/6 binary64))) (*.f64 x x) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x #s(approx (* x (+ (* x (* x 1/5040)) 1/120)) (.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x (fma.f64 #s(approx ( x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))) x #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 11/2 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ (* (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) x) 1) (.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))))))
(if (<=.f64 x #s(literal 4278419646001971/562949953421312 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ (* (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) x) 1) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))))
(if (<=.f64 x #s(literal 4278419646001971/562949953421312 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ (* (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) x) 1) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x x))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) #s(approx ( x (+ (* x (* x 1/120)) 1/6)) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))) x))
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x (* x (+ (* x (* x 1/120)) 1/6))) x) x) (.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)))))))
(if (<=.f64 x #s(literal 2758454771764429/562949953421312 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x)))))
(if (<=.f64 x #s(literal 2758454771764429/562949953421312 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x))))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal 5/2 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
#s(approx (/ (- (exp x) (exp (neg x))) 2) (.f64 x #s(approx (+ ( (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))))

soundness2.2s (17.6%)

Memory

9.8MiB live, 1 640.5MiB allocated

Rules

18 510×	`lower-fma.f64`
18 510×	`lower-fma.f32`
13 992×	`lower-fma.f64`
13 992×	`lower-fma.f32`
13 972×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	59	501
0	94	445
1	367	379
2	2613	379
0	9300	364
0	52	446
0	77	395
1	378	367
2	2461	367
0	8869	360
0	7	21
0	12	17
1	47	13
2	294	13
0	3072	13
0	118	2862
1	398	2786
2	1027	2759
3	2656	2754
4	5907	2754
0	8158	2569
0	156	2874
1	541	2820
2	1462	2778
3	4048	2768
4	7794	2768
0	8104	2620
0	154	2164
1	517	2104
2	1379	2080
3	3827	2076
4	7709	2076
0	8015	1942
0	37	263
0	65	241
1	302	235
2	2267	235
0	8201	229
0	74	323
1	218	322
2	536	316
3	1389	316
4	2118	316
5	3210	316
6	3762	316
7	5168	316
8	6336	316
9	7581	316
0	8147	294

Stop Event

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

Compiler

Compiled 1 134 to 495 computations (56.3% saved)

preprocess156.0ms (1.2%)

Memory: -12.2MiB live, 350.4MiB allocated
Remove: (negabs x)
Compiler: Compiled 978 to 214 computations (78.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	9	16
1	32	16
2	76	16
3	173	16
4	346	16
5	508	16
6	531	16
0	7	8
0	12	8
1	23	8
2	40	8
3	67	8
4	109	8
5	168	8
6	227	8
7	349	8
8	410	8
9	419	8
0	419	8

Iter	Nodes	Cost
0	7	23
0	12	23
1	23	23
2	40	23
3	67	23
4	109	23
5	168	23
6	227	23
7	349	23
8	410	23
9	419	23
0	419	23

Iter	Nodes	Cost
0	9	16
1	32	16
2	76	16
3	173	16
4	346	16
5	508	16
6	531	16
0	7	8
0	12	8
1	23	8
2	40	8
3	67	8
4	109	8
5	168	8
6	227	8
7	349	8
8	410	8
9	419	8
0	419	8

Iter	Nodes	Cost
0	7	23
0	12	23
1	23	23
2	40	23
3	67	23
4	109	23
5	168	23
6	227	23
7	349	23
8	410	23
9	419	23
0	419	23

analyze0.0ms (0%)

sample1.6s (12.8%)

preprocess43.0ms (0.3%)

explain148.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify21.0ms (0.2%)

localize95.0ms (0.7%)

series4.0ms (0%)

simplify427.0ms (3.4%)

rewrite155.0ms (1.2%)

eval38.0ms (0.3%)

prune89.0ms (0.7%)

simplify422.0ms (3.3%)

localize229.0ms (1.8%)

series25.0ms (0.2%)

simplify451.0ms (3.5%)

rewrite397.0ms (3.1%)

eval110.0ms (0.9%)

prune516.0ms (4.1%)

simplify623.0ms (4.9%)

localize302.0ms (2.4%)

series21.0ms (0.2%)

simplify505.0ms (4%)

rewrite605.0ms (4.8%)

eval149.0ms (1.2%)

prune429.0ms (3.4%)

simplify321.0ms (2.5%)

localize314.0ms (2.5%)

series25.0ms (0.2%)

simplify246.0ms (1.9%)

rewrite394.0ms (3.1%)

eval134.0ms (1.1%)

prune279.0ms (2.2%)

regimes137.0ms (1.1%)

regimes172.0ms (1.3%)

regimes42.0ms (0.3%)

regimes46.0ms (0.4%)

regimes67.0ms (0.5%)

regimes83.0ms (0.7%)

regimes145.0ms (1.1%)

regimes70.0ms (0.5%)

regimes65.0ms (0.5%)

regimes25.0ms (0.2%)

regimes40.0ms (0.3%)

regimes23.0ms (0.2%)

regimes14.0ms (0.1%)

regimes37.0ms (0.3%)

regimes10.0ms (0.1%)

regimes31.0ms (0.2%)

regimes7.0ms (0.1%)

regimes49.0ms (0.4%)

regimes4.0ms (0%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch9.0ms (0.1%)

bsearch18.0ms (0.1%)

bsearch0.0ms (0%)

bsearch5.0ms (0%)

bsearch10.0ms (0.1%)

simplify65.0ms (0.5%)

soundness2.2s (17.6%)

preprocess156.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	16
1	32	16
2	76	16
3	173	16
4	346	16
5	508	16
6	531	16
0	7	8
0	12	8
1	23	8
2	40	8
3	67	8
4	109	8
5	168	8
6	227	8
7	349	8
8	410	8
9	419	8
0	419	8

Iter	Nodes	Cost
0	7	23
0	12	23
1	23	23
2	40	23
3	67	23
4	109	23
5	168	23
6	227	23
7	349	23
8	410	23
9	419	23
0	419	23