Metrics for exp2 (problem 3.3.7)

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50.4%	49.6%	0%	0%	0%	0
100%	50.4%	0%	49.6%	0%	0%	0%	1

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample3.5s (24.4%)

Memory

11.6MiB live, 4 536.9MiB allocated

Samples

2.7s	5 697×	2	valid
373.0ms	2 366×	1	valid
13.0ms	193×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.8s

ival-exp: 2.1s (76.8% of total)

adjust: 175.0ms (6.3% of total)

ival-sub: 165.0ms (5.9% of total)

ival-add: 108.0ms (3.9% of total)

ival-neg: 79.0ms (2.8% of total)

ival-fabs: 71.0ms (2.5% of total)

ival-<=: 27.0ms (1% of total)

exact: 18.0ms (0.6% of total)

ival-assert: 4.0ms (0.1% of total)

Bogosity

preprocess36.0ms (0.3%)

Memory

10.3MiB live, 49.5MiB allocated

Algorithm

2×	egg-herbie

Rules

244×	`accelerator-lowering-fma.f32`
244×	`accelerator-lowering-fma.f64`
104×	`+-lowering-+.f64`
104×	`+-lowering-+.f32`
102×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	40	25
2	97	24
3	224	24
4	379	24
5	457	24
6	467	24
0	7	8
1	19	8
2	35	8
3	58	8
4	97	8
5	164	8
6	269	8
7	329	8
8	382	8
9	384	8
0	384	8

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(+ (- (exp x) 2) (exp (neg x)))

Outputs
(+ (- (exp x) 2) (exp (neg x)))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))

Call 2

Inputs
(+ (- (exp x) 2) (exp (neg x)))
(+ (- (exp (neg x)) 2) (exp (neg (neg x))))
(neg (+ (- (exp (neg x)) 2) (exp (neg (neg x)))))

Outputs
(+ (- (exp x) 2) (exp (neg x)))
(+ (+ (exp x) -2) (exp (neg x)))
(+ (- (exp (neg x)) 2) (exp (neg (neg x))))
(+ (+ (exp x) -2) (exp (neg x)))
(neg (+ (- (exp (neg x)) 2) (exp (neg (neg x)))))
(- (- 2 (exp (neg x))) (exp x))

Symmetry

(abs x)

explain422.0ms (2.9%)

Memory

28.0MiB live, 299.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
139	1	(0.04181413111652572)	-	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
0	0	-	-	`(-.f64 (exp.f64 x) #s(literal 2 binary64))`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(exp.f64 x)`
0	2	(100.87720725462246)	-	`(exp.f64 (neg.f64 x))`
0	0	-	-	`(neg.f64 x)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`	cancellation	140	0
`exp.f64`	`(exp.f64 (neg.f64 x))`	sensitivity	2	0

Confusion

	Predicted +	Predicted -
+	140	0
-	2	114

Precision

0.9859154929577465

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	140	0	0
-	2	0	114

Precision?

0.9859154929577465

Recall?

1.0

Freqs

test

number	freq
0	114
1	142

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

290.0ms	328×	2	valid
35.0ms	168×	1	valid
1.0ms	16×	0	valid

Compiler

Compiled 64 to 32 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 278.0ms

ival-exp: 129.0ms (46.4% of total)

ival-sub: 100.0ms (35.9% of total)

ival-neg: 33.0ms (11.9% of total)

adjust: 9.0ms (3.2% of total)

ival-add: 6.0ms (2.2% of total)

exact: 1.0ms (0.4% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.3%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify68.0ms (0.5%)

Memory

1.9MiB live, 38.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(exp.f64 (neg.f64 x))
✓	cost-diff	(exp.f64 x)
✓	cost-diff	(-.f64 (exp.f64 x) #s(literal 2 binary64))
✓	cost-diff	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Rules

244×	`accelerator-lowering-fma.f32`
244×	`accelerator-lowering-fma.f64`
104×	`+-lowering-+.f64`
104×	`+-lowering-+.f32`
102×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	21
1	19	21
2	35	21
3	58	21
4	97	21
5	164	21
6	269	21
7	329	21
8	382	21
9	384	21
0	384	21

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (- (exp x) 2) (exp (neg x)))
(- (exp x) 2)
(exp x)
x
2
(exp (neg x))
(neg x)

Outputs
(+ (- (exp x) 2) (exp (neg x)))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(exp x)
(exp.f64 x)
x
2
#s(literal 2 binary64)
(exp (neg x))
(exp.f64 (neg.f64 x))
(neg x)
(neg.f64 x)

localize99.0ms (0.7%)

Memory

-9.7MiB live, 192.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 (neg.f64 x))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(-.f64 (exp.f64 x) #s(literal 2 binary64))
✓	accuracy	50.5%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Samples

66.0ms	164×	2	valid
14.0ms	84×	1	valid
1.0ms	8×	0	valid

Compiler

Compiled 23 to 9 computations (60.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-exp: 44.0ms (65.6% of total)

ival-add: 12.0ms (17.9% of total)

adjust: 4.0ms (6% of total)

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

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

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (+ (- (exp x) 2) (exp (neg x)))>
#<alt (- (exp x) 2)>
#<alt (exp x)>
#<alt (exp (neg x))>

Outputs
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt -1>
#<alt (- x 1)>
#<alt (- (* x (+ 1 (* 1/2 x))) 1)>
#<alt (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>

Calls

12 calls:

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

rewrite257.0ms (1.8%)

Memory

-32.2MiB live, 491.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 586×	`-lowering-.f32`
3 586×	`-lowering-.f64`
3 204×	`/-lowering-/.f32`
3 204×	`/-lowering-/.f64`
2 998×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	46	17
2	389	17
3	6856	15
0	8036	14

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 245

Calls

Call 1

Inputs
(+ (- (exp x) 2) (exp (neg x)))
(- (exp x) 2)
(exp x)
(exp (neg x))

Outputs
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(+.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(+.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (neg.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))))
(+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)) (exp.f64 x))
(-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (neg.f64 (exp.f64 (neg.f64 x))))
(-.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (exp.f64 (neg.f64 x))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 (neg.f64 x))))
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) (exp.f64 (+.f64 x x)))) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) (exp.f64 (+.f64 x x)))))
(-.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (-.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))) (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (+.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(fma.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(fma.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (/.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (neg.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))))
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(fma.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (neg.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))))
(fma.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (exp.f64 (neg.f64 x)))
(fma.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) #s(literal -2 binary64))))) (exp.f64 (neg.f64 x)))
(fma.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x))
(fma.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(fma.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 (neg.f64 x)))
(fma.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(fma.f64 (+.f64 (neg.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (exp.f64 (neg.f64 x)))
(fma.f64 (+.f64 (neg.f64 (exp.f64 (+.f64 x x))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (exp.f64 (neg.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (exp.f64 (neg.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (exp.f64 (neg.f64 x)))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(fma.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))) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(fma.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))) (+.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (neg.f64 x)))
(fma.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) (neg.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))))
(fma.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (exp.f64 x) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))))
(fma.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (neg.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))))) (.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (neg.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))))
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(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (+.f64 (exp.f64 (+.f64 (+.f64 x x) (+.f64 x x))) (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64) #s(literal 16 binary64))))
(/.f64 (*.f64 (+.f64 (exp.f64 (+.f64 (+.f64 x x) (+.f64 x x))) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) #s(literal -2 binary64)))) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))
(.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64))))))
(.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (+.f64 (neg.f64 (exp.f64 (.f64 x #s(literal 3 binary64)))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(*.f64 (+.f64 (neg.f64 (exp.f64 (+.f64 x x))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)))
(*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(.f64 (/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 (+.f64 x x) (+.f64 x x)))))
(.f64 (/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (-.f64 (exp.f64 (+.f64 (+.f64 x x) (+.f64 x x))) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64)))) (-.f64 (exp.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))))
(.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 8 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) #s(literal -2 binary64) #s(literal 4 binary64))))
(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))
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 (neg.f64 x))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) 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)
(pow.f64 (neg.f64 (neg.f64 (exp.f64 x))) #s(literal -1 binary64))
(*.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))))

simplify399.0ms (2.8%)

Memory

34.0MiB live, 575.7MiB allocated

Algorithm

1×	egg-herbie

Rules

17 068×	`accelerator-lowering-fma.f32`
17 068×	`accelerator-lowering-fma.f64`
3 466×	`+-lowering-+.f64`
3 466×	`+-lowering-+.f32`
3 160×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	269
1	168	268
2	397	262
3	1053	262
4	1755	262
5	3019	262
6	3833	262
7	5252	262
8	6659	262
0	8202	241

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
-1
(- x 1)
(- (* x (+ 1 (* 1/2 x))) 1)
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
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))

Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- (* x (+ 1 (* 1/2 x))) 1)
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))
(- (* x (+ 1 (* 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 x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
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))

eval55.0ms (0.4%)

Memory: -31.2MiB live, 61.0MiB allocated
Compiler: Compiled 6 847 to 792 computations (88.4% saved)

prune34.0ms (0.2%)

Memory

27.0MiB live, 65.8MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	288	5	293
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	289	5	294

Accuracy

100.0%

Counts

294 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.3%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
▶	98.9%	(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
▶	98.9%	(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))
▶	98.6%	(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
▶	97.8%	(*.f64 x x)

Compiler

Compiled 116 to 64 computations (44.8% saved)

simplify287.0ms (2%)

Memory

6.8MiB live, 392.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Program
✓	cost-diff	(cosh.f64 x)
✓	cost-diff	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
✓	cost-diff	(.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)
✓	cost-diff	(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 (.f64 x x) #s(literal 1/12 binary64))
✓	cost-diff	(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
✓	cost-diff	(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
✓	cost-diff	(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
✓	cost-diff	(fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)
✓	cost-diff	(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))

Rules

10 244×	`accelerator-lowering-fma.f32`
10 244×	`accelerator-lowering-fma.f64`
3 772×	`-lowering-.f32`
3 772×	`-lowering-.f64`
1 790×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	170
1	92	170
2	235	170
3	491	170
4	908	170
5	1541	170
6	1926	170
7	2436	170
8	3636	170
9	4541	170
10	5184	170
11	6418	170
12	7618	170
0	8026	151

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x (+ (* (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (* x (* x x))) x))
x
(+ (* (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (* x (* x x))) x)
(+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12)
(* x (+ (* (* x x) 1/20160) 1/360))
(+ (* (* x x) 1/20160) 1/360)
(* x x)
1/20160
1/360
1/12
(* x (* x x))
(* x x)
x
(* x (+ (* x (* (* x x) 1/12)) x))
x
(+ (* x (* (* x x) 1/12)) x)
(* (* x x) 1/12)
(* x x)
1/12
(* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x))
x
(+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)
(* x x)
(* x (+ (* (* x x) 1/360) 1/12))
(+ (* (* x x) 1/360) 1/12)
1/360
1/12
(+ (* 2 (cosh x)) -2)
2
(cosh x)
x
-2

Outputs
(* x (+ (* (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (* x (* x x))) x))
(.f64 x (fma.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))) x))
x
(+ (* (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (* x (* x x))) x)
(fma.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))) x)
(+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12)
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
(* x (+ (* (* x x) 1/20160) 1/360))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))
(+ (* (* x x) 1/20160) 1/360)
(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))
(* x x)
(*.f64 x x)
1/20160
#s(literal 1/20160 binary64)
1/360
#s(literal 1/360 binary64)
1/12
#s(literal 1/12 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
x
(* x (+ (* x (* (* x x) 1/12)) x))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
x
(+ (* x (* (* x x) 1/12)) x)
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
(* (* x x) 1/12)
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* x x)
(*.f64 x x)
1/12
#s(literal 1/12 binary64)
(* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
x
(+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)
(fma.f64 x (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) x)
(* x x)
(*.f64 x x)
(* x (+ (* (* x x) 1/360) 1/12))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(+ (* (* x x) 1/360) 1/12)
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
1/360
#s(literal 1/360 binary64)
1/12
#s(literal 1/12 binary64)
(+ (* 2 (cosh x)) -2)
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
2
#s(literal 2 binary64)
(cosh x)
(cosh.f64 x)
x
-2
#s(literal -2 binary64)

localize201.0ms (1.4%)

Memory

-13.5MiB live, 307.3MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cosh.f64 x)
✓	accuracy	50.3%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)
✓	accuracy	100.0%	(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
✓	accuracy	100.0%	(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))
✓	accuracy	99.5%	(.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
✓	accuracy	100.0%	(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/12 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
✓	accuracy	100.0%	(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.6%	(.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))

Samples

109.0ms	164×	2	valid
39.0ms	84×	1	valid
2.0ms	8×	0	valid

Compiler

Compiled 167 to 31 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 120.0ms

ival-mult: 44.0ms (36.6% of total)

ival-cosh: 31.0ms (25.8% of total)

const: 16.0ms (13.3% of total)

ival-add: 15.0ms (12.5% of total)

adjust: 13.0ms (10.8% of total)

exact: 1.0ms (0.8% of total)

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

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

series13.0ms (0.1%)

Memory

21.8MiB live, 21.8MiB allocated

Counts

15 → 180

Calls

Call 1

Inputs
#<alt (* x (+ (* (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (* x (* x x))) x))>
#<alt (+ (* (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (* x (* x x))) x)>
#<alt (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12)>
#<alt (* x (+ (* (* x x) 1/20160) 1/360))>
#<alt (* x x)>
#<alt (* x (+ (* x (* (* x x) 1/12)) x))>
#<alt (+ (* x (* (* x x) 1/12)) x)>
#<alt (* (* x x) 1/12)>
#<alt (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x))>
#<alt (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)>
#<alt (* x (+ (* (* x x) 1/360) 1/12))>
#<alt (+ (* 2 (cosh x)) -2)>
#<alt (cosh x)>
#<alt (* x (* x x))>
#<alt (+ (* (* x x) 1/360) 1/12)>

Outputs
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (* 1/20160 (pow x 7))>
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 7))>
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))>
#<alt 1/12>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))>
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/360 x)>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* 1/12 (pow x 3))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 3))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* 1/360 (pow x 5))>
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 5))>
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* 1/360 (pow x 3))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 3))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt 1/12>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>

Calls

45 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+ (* 2 (cosh x)) -2)
1.0ms	x	@	inf	(* x (+ (* (* x x) 1/360) 1/12))
1.0ms	x	@	-inf	(+ (* 2 (cosh x)) -2)
1.0ms	x	@	inf	(* x (+ (* (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (* x (* x x))) x))
0.0ms	x	@	inf	(* x (+ (* x (* (* x x) 1/12)) x))

rewrite447.0ms (3.1%)

Memory

8.1MiB live, 361.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 936×	`accelerator-lowering-fma.f32`
4 936×	`accelerator-lowering-fma.f64`
4 672×	`-lowering-.f32`
4 672×	`-lowering-.f64`
4 516×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	141
1	172	141
2	1353	141
0	8202	123

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 490

Calls

Call 1

Inputs
(* x (+ (* (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (* x (* x x))) x))
(+ (* (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (* x (* x x))) x)
(+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12)
(* x (+ (* (* x x) 1/20160) 1/360))
(* x x)
(* x (+ (* x (* (* x x) 1/12)) x))
(+ (* x (* (* x x) 1/12)) x)
(* (* x x) 1/12)
(* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x))
(+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)
(* x (+ (* (* x x) 1/360) 1/12))
(+ (* 2 (cosh x)) -2)
(cosh x)
(* x (* x x))
(+ (* (* x x) 1/360) 1/12)

Outputs
(+.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (*.f64 x x))))
(+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x x))) (*.f64 x x))
(-.f64 (/.f64 (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x x))) (.f64 x x))) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x x))) (.f64 x x))))
(fma.f64 x x (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x x))))
(fma.f64 x (.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (.f64 x x))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x x)) (.f64 x x))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (.f64 x x))
(fma.f64 (.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x (.f64 x x))
(fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x x)) (.f64 x x))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x x))
(fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (.f64 x x) (.f64 x x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x x))))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)))
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(.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(cosh.f64 x)
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal -1 binary64))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (cosh.f64 x))
(.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(+.f64 (/.f64 (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (neg.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))))
(-.f64 (/.f64 #s(literal 1/144 binary64) (-.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))) (/.f64 (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (neg.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))))
(fma.f64 (*.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64))
(/.f64 (fma.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/1728 binary64)) (-.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/144 binary64)) (.f64 (.f64 x x) #s(literal 1/4320 binary64))))
(/.f64 (fma.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/1728 binary64)) (+.f64 #s(literal 1/144 binary64) (-.f64 (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (*.f64 x x) #s(literal 1/4320 binary64)))))
(/.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/144 binary64)) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/144 binary64) (-.f64 (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) #s(literal 1/4320 binary64)))) (fma.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 1/1728 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (-.f64 #s(literal 1/144 binary64) (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/1728 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/144 binary64)) (.f64 (.f64 x x) #s(literal 1/4320 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/1728 binary64))) (neg.f64 (+.f64 #s(literal 1/144 binary64) (-.f64 (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (*.f64 x x) #s(literal 1/4320 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/144 binary64))) (neg.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))
(/.f64 (-.f64 #s(literal 1/144 binary64) (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)) #s(literal 1/144 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/46656000 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/46656000 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/46656000 binary64)))) #s(literal 1/5159780352 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/46656000 binary64)) (-.f64 #s(literal 1/2985984 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/80621568000 binary64)))) (-.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/144 binary64)) (.f64 (.f64 x x) #s(literal 1/4320 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/46656000 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/46656000 binary64))) #s(literal -1/2985984 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/46656000 binary64)) #s(literal -1/1728 binary64)) (-.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/144 binary64)) (.f64 (.f64 x x) #s(literal 1/4320 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/46656000 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/46656000 binary64))) #s(literal -1/2985984 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1/20736 binary64) (.f64 (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/144 binary64)))) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/20736 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/144 binary64)) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/1728 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/144 binary64)) (.f64 (.f64 x x) #s(literal 1/4320 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/144 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/144 binary64) (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x))))) (neg.f64 (-.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/360 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (/.f64 (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (fma.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (/.f64 (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))) (.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))))) (+.f64 (/.f64 (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/1728 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/144 binary64)) (.f64 (*.f64 x x) #s(literal 1/4320 binary64)))))
(.f64 (fma.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/1728 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/144 binary64) (-.f64 (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) #s(literal 1/4320 binary64))))))
(.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(.f64 (neg.f64 (fma.f64 #s(literal 1/46656000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/1728 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/144 binary64)) (.f64 (*.f64 x x) #s(literal 1/4320 binary64))))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/144 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))))
(.f64 (-.f64 #s(literal 1/144 binary64) (.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/12 binary64) (.f64 (*.f64 x x) #s(literal 1/360 binary64)))))

simplify794.0ms (5.5%)

Memory

-5.7MiB live, 416.7MiB allocated

Algorithm

1×	egg-herbie

Rules

14 328×	`accelerator-lowering-fma.f32`
14 328×	`accelerator-lowering-fma.f64`
4 280×	`-lowering-.f32`
4 280×	`-lowering-.f64`
2 102×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	1550
1	408	1480
2	1087	1477
3	3104	1476
4	6010	1476
0	8352	1368

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/360 x)
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* 1/20160 (pow x 3))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 3))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 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)
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* 1/12 (pow x 2))))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(* 1/12 x)
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (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))))
(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)
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))

Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
(* 1/20160 (pow x 8))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))))
(* 1/20160 (pow x 8))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x)
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)
(* 1/20160 (pow x 7))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (pow.f64 x #s(literal 7 binary64)))
(* 1/20160 (pow x 7))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 1/20160 binary64) (/.f64 (+.f64 #s(literal -1/360 binary64) (/.f64 #s(literal -1/12 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
(* 1/20160 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
(* 1/20160 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* 1/20160 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/20160 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* 1/20160 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/20160 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* 1/12 (pow x 4))
(.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* 1/12 (pow x 4))
(.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
(* 1/12 (pow x 3))
(.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
(* 1/12 (pow x 3))
(.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x))
(* 1/360 (pow x 6))
(.f64 x (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* 1/360 (pow x 6))
(.f64 x (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x)
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x)
(* 1/360 (pow x 5))
(.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (.f64 x x))) x)))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (.f64 x x))) x)))
(* 1/360 (pow x 5))
(.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(fma.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x)
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(fma.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x)
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* 1/360 (pow x 3))
(.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* 1/360 (pow x 3))
(.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))

eval139.0ms (1%)

Memory: 29.9MiB live, 146.0MiB allocated
Compiler: Compiled 27 181 to 1 971 computations (92.7% saved)

prune319.0ms (2.2%)

Memory

-4.8MiB live, 156.0MiB allocated

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	746	14	760
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	746	19	765

Accuracy

100.0%

Counts

765 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.6%	(fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) (.f64 x x))
▶	99.0%	(fma.f64 x x (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x x))))
	98.9%	(fma.f64 x x (.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))
	49.2%	(fma.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
▶	48.7%	(fma.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
✓	50.3%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
	98.9%	(.f64 x (fma.f64 (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
✓	98.9%	(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
▶	98.9%	(.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
	97.8%	(.f64 x (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) (.f64 x (.f64 x x)) x))
▶	97.8%	(.f64 x (fma.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64)))) (.f64 x (*.f64 x x)) x))
✓	98.9%	(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))
✓	98.6%	(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
	98.9%	(.f64 x (+.f64 (.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x))
	98.6%	(.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x))
	48.3%	(.f64 x (.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))
	47.9%	(.f64 x (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x x))))))
	48.3%	(.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))))
✓	97.8%	(*.f64 x x)

Compiler

Compiled 544 to 296 computations (45.6% saved)

simplify1.3s (9.1%)

Memory

-16.0MiB live, 1 154.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (.f64 (*.f64 x x) #s(literal 1/20160 binary64)))
✓	cost-diff	0	(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64))))
✓	cost-diff	0	(fma.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64)))) (.f64 x (.f64 x x)) x)
✓	cost-diff	0	(.f64 x (fma.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64)))) (.f64 x (*.f64 x x)) x))
✓	cost-diff	0	(*.f64 x #s(literal 1/360 binary64))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
✓	cost-diff	0	(fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x)
✓	cost-diff	0	(.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal 1/12 binary64))
✓	cost-diff	320	(fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) (.f64 x x))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	768	(fma.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
✓	cost-diff	0	(.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x x)))
✓	cost-diff	320	(fma.f64 x x (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x x))))

Rules

35 976×	`accelerator-lowering-fma.f32`
35 976×	`accelerator-lowering-fma.f64`
9 620×	`+-lowering-+.f64`
9 620×	`+-lowering-+.f32`
4 148×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	216
1	114	202
2	272	202
3	565	196
4	2920	194
5	4441	194
6	4607	194
7	4663	194
8	4671	194
9	4671	194
10	4773	194
11	4775	194
12	4775	194
0	8808	177

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* x x) (* (+ (* (* x x) (+ (* x (* x 1/20160)) 1/360)) 1/12) (* (* x x) (* x x))))
x
(* (+ (* (* x x) (+ (* x (* x 1/20160)) 1/360)) 1/12) (* (* x x) (* x x)))
(+ (* (* x x) (+ (* x (* x 1/20160)) 1/360)) 1/12)
(* x x)
(+ (* x (* x 1/20160)) 1/360)
(* x 1/20160)
1/20160
1/360
1/12
(* (* x x) (* x x))
(+ (* 2 (+ (* x (* x 1/2)) 1)) -2)
2
(+ (* x (* x 1/2)) 1)
x
(* x 1/2)
1/2
1
-2
(+ (* (* (* x x) 1/12) (* x x)) (* x x))
(* (* x x) 1/12)
(* x x)
x
1/12
(* x (+ (* (+ (* x (* x 1/360)) 1/12) (* x (* x x))) x))
x
(+ (* (+ (* x (* x 1/360)) 1/12) (* x (* x x))) x)
(+ (* x (* x 1/360)) 1/12)
(* x 1/360)
1/360
1/12
(* x (* x x))
(* x x)
(* x (+ (* (* x (* x (* (* x x) 1/20160))) (* x (* x x))) x))
x
(+ (* (* x (* x (* (* x x) 1/20160))) (* x (* x x))) x)
(* x (* x (* (* x x) 1/20160)))
(* x (* (* x x) 1/20160))
(* (* x x) 1/20160)
(* x x)
1/20160
(* x (* x x))

Outputs
(+ (* x x) (* (+ (* (* x x) (+ (* x (* x 1/20160)) 1/360)) 1/12) (* (* x x) (* x x))))
(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x))
x
(* (+ (* (* x x) (+ (* x (* x 1/20160)) 1/360)) 1/12) (* (* x x) (* x x)))
(.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))))
(+ (* (* x x) (+ (* x (* x 1/20160)) 1/360)) 1/12)
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
(* x x)
(*.f64 x x)
(+ (* x (* x 1/20160)) 1/360)
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(* x 1/20160)
(*.f64 x #s(literal 1/20160 binary64))
1/20160
#s(literal 1/20160 binary64)
1/360
#s(literal 1/360 binary64)
1/12
#s(literal 1/12 binary64)
(* (* x x) (* x x))
(.f64 x (.f64 x (*.f64 x x)))
(+ (* 2 (+ (* x (* x 1/2)) 1)) -2)
(*.f64 x x)
2
#s(literal 2 binary64)
(+ (* x (* x 1/2)) 1)
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
-2
#s(literal -2 binary64)
(+ (* (* (* x x) 1/12) (* x x)) (* x x))
(.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/12 binary64))) x))
(* (* x x) 1/12)
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(* x x)
(*.f64 x x)
x
1/12
#s(literal 1/12 binary64)
(* x (+ (* (+ (* x (* x 1/360)) 1/12) (* x (* x x))) x))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
x
(+ (* (+ (* x (* x 1/360)) 1/12) (* x (* x x))) x)
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x)
(+ (* x (* x 1/360)) 1/12)
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* x 1/360)
(*.f64 x #s(literal 1/360 binary64))
1/360
#s(literal 1/360 binary64)
1/12
#s(literal 1/12 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
(* x (+ (* (* x (* x (* (* x x) 1/20160))) (* x (* x x))) x))
(.f64 x (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/20160 binary64) (.f64 x (*.f64 x x))) #s(literal 1 binary64))))
x
(+ (* (* x (* x (* (* x x) 1/20160))) (* x (* x x))) x)
(.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)))
(* x (* x (* (* x x) 1/20160)))
(.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x x))))
(* x (* (* x x) 1/20160))
(.f64 #s(literal 1/20160 binary64) (.f64 x (*.f64 x x)))
(* (* x x) 1/20160)
(.f64 x (.f64 x #s(literal 1/20160 binary64)))
(* x x)
(*.f64 x x)
1/20160
#s(literal 1/20160 binary64)
(* x (* x x))
(.f64 x (.f64 x x))

localize213.0ms (1.5%)

Memory

10.9MiB live, 491.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64))))
✓	accuracy	99.9%	(.f64 x (.f64 (*.f64 x x) #s(literal 1/20160 binary64)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 1/20160 binary64))
✓	accuracy	100.0%	(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
✓	accuracy	100.0%	(.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.6%	(*.f64 x #s(literal 1/360 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) (.f64 x x))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/12 binary64))
✓	accuracy	100.0%	(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	50.3%	(fma.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
✓	accuracy	100.0%	(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))
✓	accuracy	99.8%	(.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x x)))
✓	accuracy	99.8%	(.f64 (.f64 x x) (*.f64 x x))

Samples

89.0ms	149×	2	valid
47.0ms	84×	1	valid
10.0ms	12×	3	valid
2.0ms	3×	4	valid
2.0ms	8×	0	valid

Compiler

Compiled 235 to 40 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 112.0ms

ival-mult: 51.0ms (45.4% of total)

adjust: 24.0ms (21.4% of total)

ival-add: 22.0ms (19.6% of total)

const: 15.0ms (13.4% of total)

exact: 1.0ms (0.9% of total)

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

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

series17.0ms (0.1%)

Memory

-8.6MiB live, 29.4MiB allocated

Counts

21 → 252

Calls

Call 1

Inputs
#<alt (+ (* x x) (* (+ (* (* x x) (+ (* x (* x 1/20160)) 1/360)) 1/12) (* (* x x) (* x x))))>
#<alt (* (+ (* (* x x) (+ (* x (* x 1/20160)) 1/360)) 1/12) (* (* x x) (* x x)))>
#<alt (+ (* (* x x) (+ (* x (* x 1/20160)) 1/360)) 1/12)>
#<alt (* x x)>
#<alt (+ (* 2 (+ (* x (* x 1/2)) 1)) -2)>
#<alt (+ (* x (* x 1/2)) 1)>
#<alt (* x 1/2)>
#<alt (+ (* (* (* x x) 1/12) (* x x)) (* x x))>
#<alt (* (* x x) 1/12)>
#<alt (* x (+ (* (+ (* x (* x 1/360)) 1/12) (* x (* x x))) x))>
#<alt (+ (* (+ (* x (* x 1/360)) 1/12) (* x (* x x))) x)>
#<alt (+ (* x (* x 1/360)) 1/12)>
#<alt (* x 1/360)>
#<alt (* x (+ (* (* x (* x (* (* x x) 1/20160))) (* x (* x x))) x))>
#<alt (+ (* (* x (* x (* (* x x) 1/20160))) (* x (* x x))) x)>
#<alt (* x (* x (* (* x x) 1/20160)))>
#<alt (* x (* (* x x) 1/20160))>
#<alt (* (* x x) (* x x))>
#<alt (+ (* x (* x 1/20160)) 1/360)>
#<alt (* x (* x x))>
#<alt (* (* x x) 1/20160)>

Outputs
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt 1/12>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))>
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* 1/360 (pow x 5))>
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 5))>
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))>
#<alt 1/12>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/20160 (pow x 6))))>
#<alt (* (pow x 2) (+ 1 (* 1/20160 (pow x 6))))>
#<alt (* (pow x 2) (+ 1 (* 1/20160 (pow x 6))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (/ 1 (pow x 6))))>
#<alt (* (pow x 8) (+ 1/20160 (/ 1 (pow x 6))))>
#<alt (* (pow x 8) (+ 1/20160 (/ 1 (pow x 6))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (/ 1 (pow x 6))))>
#<alt (* (pow x 8) (+ 1/20160 (/ 1 (pow x 6))))>
#<alt (* (pow x 8) (+ 1/20160 (/ 1 (pow x 6))))>
#<alt x>
#<alt (* x (+ 1 (* 1/20160 (pow x 6))))>
#<alt (* x (+ 1 (* 1/20160 (pow x 6))))>
#<alt (* x (+ 1 (* 1/20160 (pow x 6))))>
#<alt (* 1/20160 (pow x 7))>
#<alt (* (pow x 7) (+ 1/20160 (/ 1 (pow x 6))))>
#<alt (* (pow x 7) (+ 1/20160 (/ 1 (pow x 6))))>
#<alt (* (pow x 7) (+ 1/20160 (/ 1 (pow x 6))))>
#<alt (* 1/20160 (pow x 7))>
#<alt (* (pow x 7) (+ 1/20160 (/ 1 (pow x 6))))>
#<alt (* (pow x 7) (+ 1/20160 (/ 1 (pow x 6))))>
#<alt (* (pow x 7) (+ 1/20160 (/ 1 (pow x 6))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt 1/360>
#<alt (+ 1/360 (* 1/20160 (pow x 2)))>
#<alt (+ 1/360 (* 1/20160 (pow x 2)))>
#<alt (+ 1/360 (* 1/20160 (pow x 2)))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>

Calls

63 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* x (+ (* (* x (* x (* (* x x) 1/20160))) (* x (* x x))) x))
1.0ms	x	@	0	(* x (+ (* (* x (* x (* (* x x) 1/20160))) (* x (* x x))) x))
0.0ms	x	@	0	(+ (* 2 (+ (* x (* x 1/2)) 1)) -2)
0.0ms	x	@	inf	(+ (* 2 (+ (* x (* x 1/2)) 1)) -2)
0.0ms	x	@	-inf	(* x (* (* x x) 1/20160))

rewrite434.0ms (3%)

Memory

16.3MiB live, 730.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 892×	`accelerator-lowering-fma.f32`
5 892×	`accelerator-lowering-fma.f64`
5 834×	`-lowering-.f32`
5 834×	`-lowering-.f64`
4 222×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	193
1	219	175
2	1693	175
0	8551	157

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 493

Calls

Call 1

Inputs
(+ (* x x) (* (+ (* (* x x) (+ (* x (* x 1/20160)) 1/360)) 1/12) (* (* x x) (* x x))))
(* (+ (* (* x x) (+ (* x (* x 1/20160)) 1/360)) 1/12) (* (* x x) (* x x)))
(+ (* (* x x) (+ (* x (* x 1/20160)) 1/360)) 1/12)
(* x x)
(+ (* 2 (+ (* x (* x 1/2)) 1)) -2)
(+ (* x (* x 1/2)) 1)
(* x 1/2)
(+ (* (* (* x x) 1/12) (* x x)) (* x x))
(* (* x x) 1/12)
(* x (+ (* (+ (* x (* x 1/360)) 1/12) (* x (* x x))) x))
(+ (* (+ (* x (* x 1/360)) 1/12) (* x (* x x))) x)
(+ (* x (* x 1/360)) 1/12)
(* x 1/360)
(* x (+ (* (* x (* x (* (* x x) 1/20160))) (* x (* x x))) x))
(+ (* (* x (* x (* (* x x) 1/20160))) (* x (* x x))) x)
(* x (* x (* (* x x) 1/20160)))
(* x (* (* x x) 1/20160))
(* (* x x) (* x x))
(+ (* x (* x 1/20160)) 1/360)
(* x (* x x))
(* (* x x) 1/20160)

Outputs
(+.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x (*.f64 x x)))))
(+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x (.f64 x x)))))))
(-.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x (.f64 x x)))) (.f64 x x))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x (.f64 x x)))) (.f64 x x))))
(fma.f64 x x (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x (.f64 x x)))))
(fma.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (.f64 x x))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (.f64 x x))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x (.f64 x x))) (.f64 x x))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x x))
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(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/67134099304759689216000000 binary64)) #s(literal 1/2176782336000000 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8193540096000 binary64))) #s(literal 1/46656000 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/406425600 binary64) (-.f64 #s(literal 1/129600 binary64) (.f64 (*.f64 x x) #s(literal 1/7257600 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/67134099304759689216000000 binary64)) #s(literal 1/2176782336000000 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/406425600 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/406425600 binary64)) (+.f64 #s(literal 1/16796160000 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/406425600 binary64)) #s(literal 1/129600 binary64)))) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/406425600 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/406425600 binary64))) #s(literal 1/16796160000 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/406425600 binary64) #s(literal 1/129600 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8193540096000 binary64)) #s(literal 1/46656000 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/406425600 binary64) (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) #s(literal 1/7257600 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/406425600 binary64)))) (neg.f64 (-.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/406425600 binary64)) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/129600 binary64) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/406425600 binary64)) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/406425600 binary64)) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))) (fma.f64 (/.f64 #s(literal 1/129600 binary64) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))) (/.f64 #s(literal 1/129600 binary64) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))) (.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/406425600 binary64)) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))) (/.f64 #s(literal 1/129600 binary64) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64)))))))
(pow.f64 (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/406425600 binary64) (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) #s(literal 1/7257600 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8193540096000 binary64)) #s(literal 1/46656000 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8193540096000 binary64)) #s(literal 1/46656000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/406425600 binary64) (-.f64 #s(literal 1/129600 binary64) (.f64 (*.f64 x x) #s(literal 1/7257600 binary64))))))
(.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 3/2 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 x (.f64 x #s(literal 1/20160 binary64)))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(.f64 #s(literal 1/20160 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/20160 binary64)) x)

simplify504.0ms (3.5%)

Memory

3.7MiB live, 760.1MiB allocated

Algorithm

1×	egg-herbie

Rules

19 316×	`accelerator-lowering-fma.f32`
19 316×	`accelerator-lowering-fma.f64`
4 052×	`-lowering-.f32`
4 052×	`-lowering-.f64`
2 894×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	1716
1	314	1674
2	773	1648
3	2033	1648
4	3607	1648
5	5738	1648
0	8448	1534

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 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)
(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
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* 1/2 (pow x 2)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(pow x 2)
(* (pow x 2) (+ 1 (* 1/20160 (pow x 6))))
(* (pow x 2) (+ 1 (* 1/20160 (pow x 6))))
(* (pow x 2) (+ 1 (* 1/20160 (pow x 6))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (/ 1 (pow x 6))))
(* (pow x 8) (+ 1/20160 (/ 1 (pow x 6))))
(* (pow x 8) (+ 1/20160 (/ 1 (pow x 6))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (/ 1 (pow x 6))))
(* (pow x 8) (+ 1/20160 (/ 1 (pow x 6))))
(* (pow x 8) (+ 1/20160 (/ 1 (pow x 6))))
x
(* x (+ 1 (* 1/20160 (pow x 6))))
(* x (+ 1 (* 1/20160 (pow x 6))))
(* x (+ 1 (* 1/20160 (pow x 6))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (/ 1 (pow x 6))))
(* (pow x 7) (+ 1/20160 (/ 1 (pow x 6))))
(* (pow x 7) (+ 1/20160 (/ 1 (pow x 6))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (/ 1 (pow x 6))))
(* (pow x 7) (+ 1/20160 (/ 1 (pow x 6))))
(* (pow x 7) (+ 1/20160 (/ 1 (pow x 6))))
(* 1/20160 (pow x 4))
(* 1/20160 (pow x 4))
(* 1/20160 (pow x 4))
(* 1/20160 (pow x 4))
(* 1/20160 (pow x 4))
(* 1/20160 (pow x 4))
(* 1/20160 (pow x 4))
(* 1/20160 (pow x 4))
(* 1/20160 (pow x 4))
(* 1/20160 (pow x 4))
(* 1/20160 (pow x 4))
(* 1/20160 (pow x 4))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (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)
1/360
(+ 1/360 (* 1/20160 (pow x 2)))
(+ 1/360 (* 1/20160 (pow x 2)))
(+ 1/360 (* 1/20160 (pow x 2)))
(* 1/20160 (pow x 2))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 2))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 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)
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))

Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x))
(* 1/20160 (pow x 8))
(.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))))))
(* 1/20160 (pow x 8))
(.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))))))
(* 1/12 (pow x 4))
(.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))))
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(fma.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) x)
(* 1/20160 (pow x 7))
(.f64 x (.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x (*.f64 x x))))))
(* (pow x 7) (+ 1/20160 (/ 1 (pow x 6))))
(fma.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) x)
(* (pow x 7) (+ 1/20160 (/ 1 (pow x 6))))
(fma.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) x)
(* (pow x 7) (+ 1/20160 (/ 1 (pow x 6))))
(fma.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) x)
(* 1/20160 (pow x 4))
(.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x x))))
(* 1/20160 (pow x 4))
(.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x x))))
(* 1/20160 (pow x 4))
(.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x x))))
(* 1/20160 (pow x 4))
(.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x x))))
(* 1/20160 (pow x 4))
(.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x x))))
(* 1/20160 (pow x 4))
(.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x x))))
(* 1/20160 (pow x 4))
(.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x x))))
(* 1/20160 (pow x 4))
(.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x x))))
(* 1/20160 (pow x 4))
(.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x x))))
(* 1/20160 (pow x 4))
(.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x x))))
(* 1/20160 (pow x 4))
(.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x x))))
(* 1/20160 (pow x 4))
(.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x x))))
(* 1/20160 (pow x 3))
(.f64 #s(literal 1/20160 binary64) (.f64 x (*.f64 x x)))
(* 1/20160 (pow x 3))
(.f64 #s(literal 1/20160 binary64) (.f64 x (*.f64 x x)))
(* 1/20160 (pow x 3))
(.f64 #s(literal 1/20160 binary64) (.f64 x (*.f64 x x)))
(* 1/20160 (pow x 3))
(.f64 #s(literal 1/20160 binary64) (.f64 x (*.f64 x x)))
(* 1/20160 (pow x 3))
(.f64 #s(literal 1/20160 binary64) (.f64 x (*.f64 x x)))
(* 1/20160 (pow x 3))
(.f64 #s(literal 1/20160 binary64) (.f64 x (*.f64 x x)))
(* 1/20160 (pow x 3))
(.f64 #s(literal 1/20160 binary64) (.f64 x (*.f64 x x)))
(* 1/20160 (pow x 3))
(.f64 #s(literal 1/20160 binary64) (.f64 x (*.f64 x x)))
(* 1/20160 (pow x 3))
(.f64 #s(literal 1/20160 binary64) (.f64 x (*.f64 x x)))
(* 1/20160 (pow x 3))
(.f64 #s(literal 1/20160 binary64) (.f64 x (*.f64 x x)))
(* 1/20160 (pow x 3))
(.f64 #s(literal 1/20160 binary64) (.f64 x (*.f64 x x)))
(* 1/20160 (pow x 3))
(.f64 #s(literal 1/20160 binary64) (.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)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
1/360
#s(literal 1/360 binary64)
(+ 1/360 (* 1/20160 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(+ 1/360 (* 1/20160 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(+ 1/360 (* 1/20160 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/20160 binary64))

eval239.0ms (1.7%)

Memory: -9.0MiB live, 193.2MiB allocated
Compiler: Compiled 31 028 to 1 961 computations (93.7% saved)

prune85.0ms (0.6%)

Memory

-17.4MiB live, 219.9MiB allocated

Pruning

23 alts after pruning (15 fresh and 8 done)

	Pruned	Kept	Total
New	909	9	918
Fresh	3	6	9
Picked	2	3	5
Done	0	5	5
Total	914	23	937

Accuracy

100.0%

Counts

937 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.6%	(fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) (.f64 x x))
	99.0%	(fma.f64 x x (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
✓	99.0%	(fma.f64 x x (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x x))))
▶	99.0%	(fma.f64 x x (.f64 (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (*.f64 x x))))
▶	98.9%	(fma.f64 x x (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (*.f64 x x))))
	49.2%	(fma.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
✓	50.3%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
▶	48.7%	(+.f64 (fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
	48.3%	(.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x (.f64 x x))))
▶	98.6%	(.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x))
▶	47.9%	(.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
	98.6%	(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x)
	98.9%	(.f64 x (fma.f64 (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
✓	98.9%	(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
✓	98.9%	(.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
✓	98.9%	(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))
✓	98.6%	(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
	98.9%	(.f64 x (+.f64 (.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x))
	47.8%	(.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x x)))))))
	48.3%	(.f64 x (.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))
	47.9%	(.f64 x (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x x))))))
	48.3%	(.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))))
✓	97.8%	(*.f64 x x)

Compiler

Compiled 678 to 357 computations (47.3% saved)

simplify1.1s (7.3%)

Memory

44.5MiB live, 1 307.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
✓	cost-diff	0	(.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
✓	cost-diff	0	(.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (*.f64 x x)))
✓	cost-diff	320	(fma.f64 x x (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (*.f64 x x))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	256	(+.f64 (fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
✓	cost-diff	320	(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))) #s(literal 1/12 binary64))
✓	cost-diff	0	(.f64 (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (*.f64 x x)))
✓	cost-diff	320	(fma.f64 x x (.f64 (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (*.f64 x x))))

Rules

38 028×	`accelerator-lowering-fma.f32`
38 028×	`accelerator-lowering-fma.f64`
12 528×	`+-lowering-+.f64`
12 528×	`+-lowering-+.f32`
9 890×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	265
1	94	233
2	287	231
3	1669	231
4	2279	231
5	2783	231
6	2931	231
7	2967	231
8	2972	231
9	4520	231
10	4552	231
11	4560	231
12	4560	231
13	4816	231
14	4816	231
15	6187	231
16	6210	231
17	6210	231
18	6792	231
19	7254	231
20	7436	231
21	7460	231
22	7464	231
23	7464	231
0	15263	208

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* x x) (* (+ (* (* x x) (/ (+ (* (* x (* x (* x x))) 1/406425600) -1/129600) (+ (* (* x x) 1/20160) -1/360))) 1/12) (* (* x x) (* x x))))
x
(* (+ (* (* x x) (/ (+ (* (* x (* x (* x x))) 1/406425600) -1/129600) (+ (* (* x x) 1/20160) -1/360))) 1/12) (* (* x x) (* x x)))
(+ (* (* x x) (/ (+ (* (* x (* x (* x x))) 1/406425600) -1/129600) (+ (* (* x x) 1/20160) -1/360))) 1/12)
(* x x)
(/ (+ (* (* x (* x (* x x))) 1/406425600) -1/129600) (+ (* (* x x) 1/20160) -1/360))
(+ (* (* x (* x (* x x))) 1/406425600) -1/129600)
(* x (* x (* x x)))
(* x (* x x))
1/406425600
-1/129600
(+ (* (* x x) 1/20160) -1/360)
1/20160
-1/360
1/12
(* (* x x) (* x x))
(+ (+ (* (* x x) 1) 2) -2)
(+ (* (* x x) 1) 2)
(* x x)
x
1
2
-2
(* (+ (* (* x x) 1/12) 1) (* x x))
(+ (* (* x x) 1/12) 1)
(* x x)
x
1/12
1
(+ (* x x) (* (+ (* (* x x) 1/360) 1/12) (* (* x x) (* x x))))
x
(* (+ (* (* x x) 1/360) 1/12) (* (* x x) (* x x)))
(+ (* (* x x) 1/360) 1/12)
(* x x)
1/360
1/12
(* (* x x) (* x x))
(* (+ (* (* x x) 1/20160) 1/360) (* (* x (* x x)) (* x (* x x))))
(+ (* (* x x) 1/20160) 1/360)
(* x x)
x
1/20160
1/360
(* (* x (* x x)) (* x (* x x)))
(* x (* x x))

Outputs
(+ (* x x) (* (+ (* (* x x) (/ (+ (* (* x (* x (* x x))) 1/406425600) -1/129600) (+ (* (* x x) 1/20160) -1/360))) 1/12) (* (* x x) (* x x))))
(.f64 x (fma.f64 x (.f64 x (.f64 x (fma.f64 x (/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)))) x))
x
(* (+ (* (* x x) (/ (+ (* (* x (* x (* x x))) 1/406425600) -1/129600) (+ (* (* x x) 1/20160) -1/360))) 1/12) (* (* x x) (* x x)))
(.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 x (/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64))))
(+ (* (* x x) (/ (+ (* (* x (* x (* x x))) 1/406425600) -1/129600) (+ (* (* x x) 1/20160) -1/360))) 1/12)
(fma.f64 x (/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64))
(* x x)
(*.f64 x x)
(/ (+ (* (* x (* x (* x x))) 1/406425600) -1/129600) (+ (* (* x x) 1/20160) -1/360))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64)) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))
(+ (* (* x (* x (* x x))) 1/406425600) -1/129600)
(fma.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
(* x (* x x))
(.f64 x (.f64 x x))
1/406425600
#s(literal 1/406425600 binary64)
-1/129600
#s(literal -1/129600 binary64)
(+ (* (* x x) 1/20160) -1/360)
(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))
1/20160
#s(literal 1/20160 binary64)
-1/360
#s(literal -1/360 binary64)
1/12
#s(literal 1/12 binary64)
(* (* x x) (* x x))
(.f64 x (.f64 x (*.f64 x x)))
(+ (+ (* (* x x) 1) 2) -2)
(*.f64 x x)
(+ (* (* x x) 1) 2)
(fma.f64 x x #s(literal 2 binary64))
(* x x)
(*.f64 x x)
x
1
#s(literal 1 binary64)
2
#s(literal 2 binary64)
-2
#s(literal -2 binary64)
(* (+ (* (* x x) 1/12) 1) (* x x))
(.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/12 binary64))) x))
(+ (* (* x x) 1/12) 1)
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))
(* x x)
(*.f64 x x)
x
1/12
#s(literal 1/12 binary64)
1
#s(literal 1 binary64)
(+ (* x x) (* (+ (* (* x x) 1/360) 1/12) (* (* x x) (* x x))))
(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x))
x
(* (+ (* (* x x) 1/360) 1/12) (* (* x x) (* x x)))
(.f64 x (.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))
(+ (* (* x x) 1/360) 1/12)
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* x x)
(*.f64 x x)
1/360
#s(literal 1/360 binary64)
1/12
#s(literal 1/12 binary64)
(* (* x x) (* x x))
(.f64 x (.f64 x (*.f64 x x)))
(* (+ (* (* x x) 1/20160) 1/360) (* (* x (* x x)) (* x (* x x))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))))))
(+ (* (* x x) 1/20160) 1/360)
(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))
(* x x)
(*.f64 x x)
x
1/20160
#s(literal 1/20160 binary64)
1/360
#s(literal 1/360 binary64)
(* (* x (* x x)) (* x (* x x)))
(.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* x (* x x))
(.f64 x (.f64 x x))

localize278.0ms (1.9%)

Memory

-10.4MiB live, 381.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
✓	accuracy	99.8%	(.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))
✓	accuracy	100.0%	(fma.f64 x x (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (*.f64 x x))))
✓	accuracy	100.0%	(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
✓	accuracy	99.8%	(.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (*.f64 x x)))
✓	accuracy	99.8%	(.f64 (.f64 x x) (*.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x))
✓	accuracy	100.0%	(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	50.3%	(+.f64 (fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.8%	(.f64 (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (*.f64 x x)))
✓	accuracy	99.8%	(.f64 (.f64 x x) (*.f64 x x))

Samples

125.0ms	155×	2	valid
43.0ms	84×	1	valid
7.0ms	8×	3	valid
2.0ms	8×	0	valid
1.0ms	1×	4	valid

Compiler

Compiled 287 to 38 computations (86.8% saved)

Precisions

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

ival-mult: 49.0ms (35.9% of total)

ival-add: 38.0ms (27.8% of total)

const: 27.0ms (19.8% of total)

adjust: 17.0ms (12.5% of total)

ival-div: 4.0ms (2.9% of total)

exact: 1.0ms (0.7% of total)

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

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

series13.0ms (0.1%)

Memory

-14.4MiB live, 23.7MiB allocated

Counts

17 → 204

Calls

Call 1

Inputs
#<alt (+ (* x x) (* (+ (* (* x x) (/ (+ (* (* x (* x (* x x))) 1/406425600) -1/129600) (+ (* (* x x) 1/20160) -1/360))) 1/12) (* (* x x) (* x x))))>
#<alt (* (+ (* (* x x) (/ (+ (* (* x (* x (* x x))) 1/406425600) -1/129600) (+ (* (* x x) 1/20160) -1/360))) 1/12) (* (* x x) (* x x)))>
#<alt (+ (* (* x x) (/ (+ (* (* x (* x (* x x))) 1/406425600) -1/129600) (+ (* (* x x) 1/20160) -1/360))) 1/12)>
#<alt (* x x)>
#<alt (+ (* (* x x) 1) 2)>
#<alt (+ (+ (* (* x x) 1) 2) -2)>
#<alt (* (+ (* (* x x) 1/12) 1) (* x x))>
#<alt (+ (* (* x x) 1/12) 1)>
#<alt (+ (* x x) (* (+ (* (* x x) 1/360) 1/12) (* (* x x) (* x x))))>
#<alt (* (+ (* (* x x) 1/360) 1/12) (* (* x x) (* x x)))>
#<alt (+ (* (* x x) 1/360) 1/12)>
#<alt (* (+ (* (* x x) 1/20160) 1/360) (* (* x (* x x)) (* x (* x x))))>
#<alt (+ (* (* x x) 1/20160) 1/360)>
#<alt (* (* x (* x x)) (* x (* x x)))>
#<alt (* (* x x) (* x x))>
#<alt (* x (* x (* x x)))>
#<alt (* x (* x x))>

Outputs
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt 1/12>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))>
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt 1/12>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* (pow x 6) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* (pow x 6) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt 1/360>
#<alt (+ 1/360 (* 1/20160 (pow x 2)))>
#<alt (+ 1/360 (* 1/20160 (pow x 2)))>
#<alt (+ 1/360 (* 1/20160 (pow x 2)))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>

Calls

51 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(+ (* x x) (* (+ (* (* x x) (/ (+ (* (* x (* x (* x x))) 1/406425600) -1/129600) (+ (* (* x x) 1/20160) -1/360))) 1/12) (* (* x x) (* x x))))
0.0ms	x	@	inf	(* (+ (* (* x x) (/ (+ (* (* x (* x (* x x))) 1/406425600) -1/129600) (+ (* (* x x) 1/20160) -1/360))) 1/12) (* (* x x) (* x x)))
0.0ms	x	@	0	(+ (* x x) (* (+ (* (* x x) (/ (+ (* (* x (* x (* x x))) 1/406425600) -1/129600) (+ (* (* x x) 1/20160) -1/360))) 1/12) (* (* x x) (* x x))))
0.0ms	x	@	0	(* (+ (* (* x x) 1/20160) 1/360) (* (* x (* x x)) (* x (* x x))))
0.0ms	x	@	inf	(* (+ (* (* x x) 1/12) 1) (* x x))

rewrite559.0ms (3.9%)

Memory

6.4MiB live, 830.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 716×	`accelerator-lowering-fma.f32`
5 716×	`accelerator-lowering-fma.f64`
4 654×	`-lowering-.f32`
4 654×	`-lowering-.f64`
4 190×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	189
1	229	143
2	1853	143
0	8255	127

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 826

Calls

Call 1

Inputs
(+ (* x x) (* (+ (* (* x x) (/ (+ (* (* x (* x (* x x))) 1/406425600) -1/129600) (+ (* (* x x) 1/20160) -1/360))) 1/12) (* (* x x) (* x x))))
(* (+ (* (* x x) (/ (+ (* (* x (* x (* x x))) 1/406425600) -1/129600) (+ (* (* x x) 1/20160) -1/360))) 1/12) (* (* x x) (* x x)))
(+ (* (* x x) (/ (+ (* (* x (* x (* x x))) 1/406425600) -1/129600) (+ (* (* x x) 1/20160) -1/360))) 1/12)
(* x x)
(+ (* (* x x) 1) 2)
(+ (+ (* (* x x) 1) 2) -2)
(* (+ (* (* x x) 1/12) 1) (* x x))
(+ (* (* x x) 1/12) 1)
(+ (* x x) (* (+ (* (* x x) 1/360) 1/12) (* (* x x) (* x x))))
(* (+ (* (* x x) 1/360) 1/12) (* (* x x) (* x x)))
(+ (* (* x x) 1/360) 1/12)
(* (+ (* (* x x) 1/20160) 1/360) (* (* x (* x x)) (* x (* x x))))
(+ (* (* x x) 1/20160) 1/360)
(* (* x (* x x)) (* x (* x x)))
(* (* x x) (* x x))
(* x (* x (* x x)))
(* x (* x x))

Outputs
(+.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))) (*.f64 x x))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))))) (/.f64 (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))))) (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))))))
(-.f64 (/.f64 (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))))) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))) (.f64 x x))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))) (.f64 x x))))
(fma.f64 x x (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))))
(fma.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) (.f64 x x))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) (.f64 x x))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) (.f64 x x))
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(.f64 (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/67134099304759689216000000 binary64) #s(literal -1/2176782336000000 binary64)) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) (/.f64 (/.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 1/165181768335360000 binary64) #s(literal 1/16796160000 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/52672757760000 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/67134099304759689216000000 binary64) #s(literal -1/2176782336000000 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8193540096000 binary64)) #s(literal -1/46656000 binary64))) (/.f64 (/.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 1/165181768335360000 binary64) #s(literal 1/16796160000 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/52672757760000 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal 1/129600 binary64)) (.f64 (*.f64 x x) #s(literal -1/7257600 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/165181768335360000 binary64) #s(literal -1/16796160000 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8193540096000 binary64)) #s(literal -1/46656000 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal 1/129600 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal 1/129600 binary64)) (.f64 (*.f64 x x) #s(literal -1/7257600 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 6 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (.f64 (log.f64 (.f64 x x)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 #s(literal 3 binary64) (log.f64 x) (*.f64 #s(literal 3 binary64) (log.f64 x))))
(exp.f64 (fma.f64 (log.f64 (.f64 x x)) #s(literal 2 binary64) (log.f64 (.f64 x x))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64))) (fma.f64 (fma.f64 x x #s(literal 2 binary64)) (.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64))) #s(literal -8 binary64))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 x x #s(literal 4 binary64)) (fma.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64)) #s(literal -4 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (fma.f64 (fma.f64 x x #s(literal 2 binary64)) (.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64))) #s(literal -8 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 (fma.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (fma.f64 (fma.f64 x x #s(literal 2 binary64)) (.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64))) #s(literal -8 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64))) (*.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (fma.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 4 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (fma.f64 (fma.f64 x x #s(literal 2 binary64)) (.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64))) #s(literal -8 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (-.f64 (fma.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (fma.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64)) #s(literal -4 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 x x #s(literal 4 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x (.f64 x (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 0 binary64)))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 x x) #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 2 binary64))) #s(literal 3 binary64)))
(pow.f64 x #s(literal 6 binary64))
(pow.f64 (*.f64 x x) #s(literal 3 binary64))
(pow.f64 (.f64 x (.f64 x x)) #s(literal 2 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 3/2 binary64))
(pow.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1 binary64))
(.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
(.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))
(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x x))
(.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64))
(.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) x)
(.f64 (pow.f64 (fma.f64 (fma.f64 x x #s(literal 2 binary64)) (.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64))) #s(literal -8 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (fma.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 4 binary64))) #s(literal 3 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))))
(.f64 (pow.f64 (fma.f64 (fma.f64 x x #s(literal 2 binary64)) (.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64))) #s(literal -8 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (fma.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 4 binary64))) #s(literal 2 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))))
(.f64 (pow.f64 (fma.f64 (fma.f64 x x #s(literal 2 binary64)) (.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64))) #s(literal -8 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (fma.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 3/2 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1 binary64))
(.f64 (.f64 x (*.f64 x x)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (.f64 x (*.f64 x x)))
(.f64 (pow.f64 (fma.f64 (fma.f64 x x #s(literal 2 binary64)) (.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64))) #s(literal -8 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (fma.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 4 binary64))) #s(literal 3/2 binary64)))

simplify402.0ms (2.8%)

Memory

3.6MiB live, 706.7MiB allocated

Algorithm

1×	egg-herbie

Rules

17 960×	`accelerator-lowering-fma.f32`
17 960×	`accelerator-lowering-fma.f64`
2 742×	`-lowering-.f32`
2 742×	`-lowering-.f64`
2 452×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	1412
1	236	1412
2	605	1370
3	1651	1370
4	3009	1370
5	6749	1370
6	7641	1370
0	8002	1244

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 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)
2
(+ 2 (pow x 2))
(+ 2 (pow x 2))
(+ 2 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 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)
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
1
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* 1/12 (pow x 2)))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/20160 (pow x 2))))
(* (pow x 6) (+ 1/360 (* 1/20160 (pow x 2))))
(* (pow x 6) (+ 1/360 (* 1/20160 (pow x 2))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
1/360
(+ 1/360 (* 1/20160 (pow x 2)))
(+ 1/360 (* 1/20160 (pow x 2)))
(+ 1/360 (* 1/20160 (pow x 2)))
(* 1/20160 (pow x 2))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 2))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(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)
(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 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)

Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x))
(* 1/20160 (pow x 8))
(.f64 x (.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x))
(* 1/20160 (pow x 8))
(.f64 x (.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x))
(* 1/12 (pow x 4))
(.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))
(* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x (.f64 x x))))
(* 1/20160 (pow x 8))
(.f64 x (.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x (.f64 x x))))
(* 1/20160 (pow x 8))
(.f64 x (.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x (.f64 x x))))
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
(* 1/20160 (pow x 4))
(.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
(* 1/20160 (pow x 4))
(.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x)) x))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x)) x))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x)) x))
(* 1/12 (pow x 4))
(.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x)) x))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x)) x))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x)) x))
(* 1/12 (pow x 4))
(.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x)) x))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x)) x))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x)) x))
1
#s(literal 1 binary64)
(+ 1 (* 1/12 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
(+ 1 (* 1/12 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
(+ 1 (* 1/12 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
(* 1/360 (pow x 6))
(.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
(* 1/360 (pow x 6))
(.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
(* 1/12 (pow x 4))
(.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))
(* 1/360 (pow x 6))
(.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))
(* 1/360 (pow x 6))
(.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(* 1/360 (pow x 6))
(.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 6) (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) (.f64 x (.f64 x (*.f64 x x)))))
(* 1/20160 (pow x 8))
(.f64 x (.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) (.f64 x (.f64 x (*.f64 x x)))))
(* 1/20160 (pow x 8))
(.f64 x (.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) (.f64 x (.f64 x (*.f64 x x)))))
1/360
#s(literal 1/360 binary64)
(+ 1/360 (* 1/20160 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))
(+ 1/360 (* 1/20160 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))
(+ 1/360 (* 1/20160 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))
(* 1/20160 (pow x 2))
(.f64 x (.f64 x #s(literal 1/20160 binary64)))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))
(* 1/20160 (pow x 2))
(.f64 x (.f64 x #s(literal 1/20160 binary64)))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))
(pow x 6)
(.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(pow x 6)
(.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(pow x 6)
(.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(pow x 6)
(.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(pow x 6)
(.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(pow x 6)
(.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(pow x 6)
(.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(pow x 6)
(.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(pow x 6)
(.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(pow x 6)
(.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(pow x 6)
(.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(pow x 6)
(.f64 x (.f64 x (.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)))
(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)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))

eval367.0ms (2.5%)

Memory: 16.5MiB live, 611.8MiB allocated
Compiler: Compiled 77 862 to 4 714 computations (93.9% saved)

prune254.0ms (1.8%)

Memory

-0.2MiB live, 567.0MiB allocated

Pruning

27 alts after pruning (17 fresh and 10 done)

	Pruned	Kept	Total
New	1 989	10	1 999
Fresh	3	7	10
Picked	3	2	5
Done	0	8	8
Total	1 995	27	2 022

Accuracy

100.0%

Counts

2 022 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.6%	(fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) (.f64 x x))
	99.0%	(fma.f64 x x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/12 binary64))))
✓	99.0%	(fma.f64 x x (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x x))))
	99.0%	(fma.f64 x x (.f64 (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (.f64 (.f64 x (*.f64 x x)) x)))
	98.9%	(fma.f64 x x (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))
	49.2%	(fma.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
✓	50.3%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
	48.7%	(+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64))
	47.3%	(+.f64 #s(literal 2 binary64) #s(literal -2 binary64))
	48.3%	(.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x (.f64 x x))))
	49.1%	(.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64)))
✓	98.6%	(.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x))
✓	47.9%	(.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
	98.6%	(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x)
	47.8%	(.f64 (.f64 x (.f64 x #s(literal 1/20160 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
	48.3%	(.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))
✓	98.9%	(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
✓	98.9%	(.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
✓	98.9%	(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))
✓	98.6%	(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
	98.9%	(.f64 x (+.f64 (.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x))
	47.9%	(.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))
	47.8%	(.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x x)))))))
	48.3%	(.f64 x (.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))
	48.3%	(.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))))
✓	97.8%	(*.f64 x x)
	47.9%	(.f64 #s(literal 1/360 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))

Compiler

Compiled 1 047 to 359 computations (65.7% saved)

regimes37.0ms (0.3%)

Memory

-29.0MiB live, 46.5MiB allocated

Counts

39 → 1

Calls

Call 1

Inputs
(+.f64 #s(literal 2 binary64) #s(literal -2 binary64))
(*.f64 x x)
(+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64))
(+.f64 (fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))))
(.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) (.f64 x x))
(.f64 #s(literal 1/360 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(.f64 x (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x x))))))
(.f64 x (.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))
(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))
(.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
(fma.f64 x x (.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))
(fma.f64 x x (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))
(fma.f64 x x (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (*.f64 x x))))
(fma.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x x)))))))
(.f64 (.f64 x (.f64 x #s(literal 1/20160 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))
(.f64 x (fma.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64)))) (.f64 x (*.f64 x x)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(.f64 x (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) (.f64 x (.f64 x x)) x))
(.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x (.f64 x x))))
(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
(.f64 x (+.f64 (.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x))
(fma.f64 x x (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x x))))
(fma.f64 x x (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
(fma.f64 x x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/12 binary64))))
(.f64 x (fma.f64 (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
(fma.f64 x x (.f64 (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (*.f64 x x))))
(fma.f64 x x (.f64 (fma.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (.f64 (.f64 x (*.f64 x x)) x)))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Outputs
(fma.f64 x x (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x x))))

Calls

2 calls:

22.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
11.0ms	x

Results

Accuracy	Segments	Branch
99.0%	1	`x`
99.0%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes39.0ms (0.3%)

Memory

3.5MiB live, 45.0MiB allocated

Counts

31 → 1

Calls

Call 1

Inputs
(+.f64 #s(literal 2 binary64) #s(literal -2 binary64))
(*.f64 x x)
(+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64))
(+.f64 (fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))))
(.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) (.f64 x x))
(.f64 #s(literal 1/360 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(.f64 x (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x x))))))
(.f64 x (.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))
(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))
(.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
(fma.f64 x x (.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))
(fma.f64 x x (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))
(fma.f64 x x (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (*.f64 x x))))
(fma.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x x)))))))
(.f64 (.f64 x (.f64 x #s(literal 1/20160 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))
(.f64 x (fma.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64)))) (.f64 x (*.f64 x x)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(.f64 x (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) (.f64 x (.f64 x x)) x))
(.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x (.f64 x x))))
(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
(.f64 x (+.f64 (.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x))

Outputs
(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))

Calls

2 calls:

30.0ms	x
7.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes16.0ms (0.1%)

Memory

21.4MiB live, 21.4MiB allocated

Counts

29 → 1

Calls

Call 1

Inputs
(+.f64 #s(literal 2 binary64) #s(literal -2 binary64))
(*.f64 x x)
(+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64))
(+.f64 (fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))))
(.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) (.f64 x x))
(.f64 #s(literal 1/360 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(.f64 x (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x x))))))
(.f64 x (.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))
(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))
(.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
(fma.f64 x x (.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))
(fma.f64 x x (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))
(fma.f64 x x (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (*.f64 x x))))
(fma.f64 #s(literal 2 binary64) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x x)))))))
(.f64 (.f64 x (.f64 x #s(literal 1/20160 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))
(.f64 x (fma.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64)))) (.f64 x (*.f64 x x)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(.f64 x (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) (.f64 x (.f64 x x)) x))
(.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x (.f64 x x))))

Outputs
(fma.f64 x x (.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))

Calls

2 calls:

8.0ms	x
7.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes30.0ms (0.2%)

Memory

-19.6MiB live, 19.0MiB allocated

Counts

18 → 1

Calls

Call 1

Inputs
(+.f64 #s(literal 2 binary64) #s(literal -2 binary64))
(*.f64 x x)
(+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64))
(+.f64 (fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))))
(.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) (.f64 x x))
(.f64 #s(literal 1/360 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(.f64 x (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x x))))))
(.f64 x (.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))
(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))
(.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))

Outputs
(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))

Calls

2 calls:

25.0ms	x
4.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes10.0ms (0.1%)

Memory

18.7MiB live, 18.7MiB allocated

Counts

16 → 1

Calls

Call 1

Inputs
(+.f64 #s(literal 2 binary64) #s(literal -2 binary64))
(*.f64 x x)
(+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64))
(+.f64 (fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))))
(.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) (.f64 x x))
(.f64 #s(literal 1/360 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))
(.f64 x (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x x))))))
(.f64 x (.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))

Outputs
(fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) (.f64 x x))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.6%	1	`x`
98.6%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes7.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
(+.f64 #s(literal 2 binary64) #s(literal -2 binary64))
(*.f64 x x)
(+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64))
(+.f64 (fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))))
(.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64)))

Outputs
(.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.6%	1	`x`
98.6%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes34.0ms (0.2%)

Memory

-20.8MiB live, 17.2MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
(+.f64 #s(literal 2 binary64) #s(literal -2 binary64))
(*.f64 x x)
(+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64))
(+.f64 (fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))))
(.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x)

Outputs
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.6%	1	`x`
98.6%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes5.0ms (0%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
(+.f64 #s(literal 2 binary64) #s(literal -2 binary64))
(*.f64 x x)
(+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64))
(+.f64 (fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))))
(.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x))

Outputs
(.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.6%	1	`x`
98.6%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes5.0ms (0%)

Memory

10.7MiB live, 10.7MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
(+.f64 #s(literal 2 binary64) #s(literal -2 binary64))
(*.f64 x x)
(+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64))
(+.f64 (fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))))

Outputs
(*.f64 x x)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.8%	1	`x`
97.8%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes19.0ms (0.1%)

Memory

-32.3MiB live, 6.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(+.f64 #s(literal 2 binary64) #s(literal -2 binary64))

Outputs
(+.f64 #s(literal 2 binary64) #s(literal -2 binary64))

Calls

2 calls:

17.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
1.0ms	x

Results

Accuracy	Segments	Branch
47.3%	1	`x`
47.3%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify8.0ms (0.1%)

Memory

16.7MiB live, 16.7MiB allocated

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	122
1	57	122

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x x (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x x))))
(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
(fma.f64 x x (.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))
(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) (.f64 x x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x))
(*.f64 x x)
(+.f64 #s(literal 2 binary64) #s(literal -2 binary64))

Outputs
(fma.f64 x x (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x x))))
(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
(fma.f64 x x (.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))
(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) (.f64 x x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))))
(*.f64 x x)
(+.f64 #s(literal 2 binary64) #s(literal -2 binary64))

soundness1.3s (8.9%)

Memory

-14.3MiB live, 1 035.7MiB allocated

Rules

17 960×	`accelerator-lowering-fma.f32`
17 960×	`accelerator-lowering-fma.f64`
17 068×	`accelerator-lowering-fma.f32`
17 068×	`accelerator-lowering-fma.f64`
14 328×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	1550
1	408	1480
2	1087	1477
3	3104	1476
4	6010	1476
0	8352	1368
0	68	1412
1	236	1412
2	605	1370
3	1651	1370
4	3009	1370
5	6749	1370
6	7641	1370
0	8002	1244
0	38	193
1	219	175
2	1693	175
0	8551	157
0	29	141
1	172	141
2	1353	141
0	8202	123
0	60	269
1	168	268
2	397	262
3	1053	262
4	1755	262
5	3019	262
6	3833	262
7	5252	262
8	6659	262
0	8202	241
0	7	17
1	46	17
2	389	17
3	6856	15
0	8036	14

Stop Event

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

Compiler

Compiled 301 to 139 computations (53.8% saved)

preprocess121.0ms (0.8%)

Memory: 11.8MiB live, 129.0MiB allocated
Remove: (abs x)
Compiler: Compiled 426 to 170 computations (60.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	12	25
1	40	25
2	97	24
3	224	24
4	379	24
5	457	24
6	467	24
0	7	8
1	19	8
2	35	8
3	58	8
4	97	8
5	164	8
6	269	8
7	329	8
8	382	8
9	384	8
0	384	8

Iter	Nodes	Cost
0	7	21
1	19	21
2	35	21
3	58	21
4	97	21
5	164	21
6	269	21
7	329	21
8	382	21
9	384	21
0	384	21

Iter	Nodes	Cost
0	12	25
1	40	25
2	97	24
3	224	24
4	379	24
5	457	24
6	467	24
0	7	8
1	19	8
2	35	8
3	58	8
4	97	8
5	164	8
6	269	8
7	329	8
8	382	8
9	384	8
0	384	8

Iter	Nodes	Cost
0	7	21
1	19	21
2	35	21
3	58	21
4	97	21
5	164	21
6	269	21
7	329	21
8	382	21
9	384	21
0	384	21

analyze0.0ms (0%)

sample3.5s (24.4%)

preprocess36.0ms (0.3%)

explain422.0ms (2.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify68.0ms (0.5%)

localize99.0ms (0.7%)

series2.0ms (0%)

rewrite257.0ms (1.8%)

simplify399.0ms (2.8%)

eval55.0ms (0.4%)

prune34.0ms (0.2%)

simplify287.0ms (2%)

localize201.0ms (1.4%)

series13.0ms (0.1%)

rewrite447.0ms (3.1%)

simplify794.0ms (5.5%)

eval139.0ms (1%)

prune319.0ms (2.2%)

simplify1.3s (9.1%)

localize213.0ms (1.5%)

series17.0ms (0.1%)

rewrite434.0ms (3%)

simplify504.0ms (3.5%)

eval239.0ms (1.7%)

prune85.0ms (0.6%)

simplify1.1s (7.3%)

localize278.0ms (1.9%)

series13.0ms (0.1%)

rewrite559.0ms (3.9%)

simplify402.0ms (2.8%)

eval367.0ms (2.5%)

prune254.0ms (1.8%)

regimes37.0ms (0.3%)

regimes39.0ms (0.3%)

regimes16.0ms (0.1%)

regimes30.0ms (0.2%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

regimes34.0ms (0.2%)

regimes5.0ms (0%)

regimes5.0ms (0%)

regimes19.0ms (0.1%)

simplify8.0ms (0.1%)

soundness1.3s (8.9%)

preprocess121.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	25
1	40	25
2	97	24
3	224	24
4	379	24
5	457	24
6	467	24
0	7	8
1	19	8
2	35	8
3	58	8
4	97	8
5	164	8
6	269	8
7	329	8
8	382	8
9	384	8
0	384	8

Iter	Nodes	Cost
0	7	21
1	19	21
2	35	21
3	58	21
4	97	21
5	164	21
6	269	21
7	329	21
8	382	21
9	384	21
0	384	21