Metrics for Hyperbolic sine

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 10 to 8 computations (20% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

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

sample1.5s (15.5%)

Results

1.0s	4000×	1	valid
259.0ms	4256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-exp: 704.0ms (68% of total)

ival-div: 126.0ms (12.2% of total)

ival-sub: 73.0ms (7% of total)

ival-neg: 67.0ms (6.5% of total)

backward-pass: 54.0ms (5.2% of total)

const: 13.0ms (1.3% of total)

Bogosity

preprocess89.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

344×	`fmsub-define`
342×	`fnmsub-define`
340×	`fnmadd-define`
318×	`fnmadd-define`
286×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	24
1	40	24
2	92	24
3	201	24
4	476	24
5	964	24
6	1250	24
7	1349	24
0	7	8
1	18	8
2	36	8
3	66	8
4	119	8
5	209	8
6	361	8
7	621	8
8	988	8
9	1158	8
10	1176	8
0	1176	8

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

Outputs
(/ (- (exp x) (exp (neg x))) 2)
(fnmsub (exp x) -1/2 (/ 1/2 (exp x)))
(/ (- (exp (neg x)) (exp (neg (neg x)))) 2)
(fnmsub (exp x) 1/2 (/ -1/2 (exp x)))
(neg (/ (- (exp (neg x)) (exp (neg (neg x)))) 2))
(fnmsub (exp x) -1/2 (/ 1/2 (exp x)))

Symmetry

(negabs x)

explain131.0ms (1.3%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
117	0	-	-	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
0	0	-	-	`x`
0	1	(264.8127655585612)	-	`(exp.f64 (neg.f64 x))`
0	0	-	-	`(neg.f64 x)`
0	0	-	-	`(exp.f64 x)`
0	0	-	-	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))`
0	0	-	-	`#s(literal 2 binary64)`

Results

77.0ms	226×	1	valid
21.0ms	286×	0	valid

Compiler

Compiled 59 to 23 computations (61% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-exp: 50.0ms (72.1% of total)

ival-div: 5.0ms (7.2% of total)

ival-sub: 5.0ms (7.2% of total)

backward-pass: 5.0ms (7.2% of total)

ival-neg: 3.0ms (4.3% of total)

const: 1.0ms (1.4% of total)

eval0.0ms (0%)

Compiler: Compiled 10 to 7 computations (30% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.7%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify40.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(exp.f64 (neg.f64 x))
✓	cost-diff	-64	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	cost-diff	-64	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
✓	cost-diff	0	(exp.f64 x)

Rules

318×	`fnmadd-define`
286×	`fmsub-define`
284×	`fnmsub-define`
276×	`fma-lowering-fma.f32`
276×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
1	18	23
2	36	23
3	66	23
4	119	23
5	209	23
6	361	23
7	621	23
8	988	23
9	1158	23
10	1176	23
0	1176	23

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
(/ (- (exp x) (exp (neg x))) 2)
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(- (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(exp x)
(exp.f64 x)
x
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(neg x)
(-.f64 #s(literal 0 binary64) x)
2
#s(literal 2 binary64)

localize51.0ms (0.5%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(exp.f64 (neg.f64 x))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	58.7%	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

31.0ms	113×	1	valid
10.0ms	143×	0	valid

Compiler

Compiled 25 to 8 computations (68% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-exp: 16.0ms (64.9% of total)

ival-div: 3.0ms (12.2% of total)

ival-neg: 2.0ms (8.1% of total)

ival-sub: 2.0ms (8.1% of total)

backward-pass: 2.0ms (8.1% of total)

const: 0.0ms (0% of total)

series3.0ms (0%)

Counts

5 → 60

Calls

Call 1

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

Outputs
#<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 x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (neg x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (- (exp x) (exp (* -1 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))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>

Calls

15 calls:

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

rewrite172.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1610×	`/-lowering-/.f32`
1610×	`/-lowering-/.f64`
1604×	`-lowering-.f32`
1604×	`-lowering-.f64`
580×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	42	13
2	299	13
0	3266	13

Stop Event

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

Counts

5 → 260

Calls

Call 1

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

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

simplify210.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

2098×	`+-lowering-+.f64`
2098×	`+-lowering-+.f32`
2008×	`-lowering-.f32`
2008×	`-lowering-.f64`
1618×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	74	321
1	222	300
2	669	294
3	1945	294
4	2962	294
5	5505	294
6	6302	294
0	8207	294

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

Outputs
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 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)
x
(* x (+ 1 (* 1/6 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
(* 1/2 (- (exp x) (exp (neg x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (neg x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (neg x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (neg x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/60 binary64)))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/60 binary64) (.f64 (*.f64 x x) #s(literal 1/2520 binary64))))))))
(- (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(- (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(- (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(- (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(- (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(- (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(- (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(- (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))))
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (* -1 x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (* -1 x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (* -1 x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (* -1 x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)

eval39.0ms (0.4%)

Compiler: Compiled 5672 to 873 computations (84.6% saved)

prune46.0ms (0.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	314	6	320
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	315	6	321

Accuracy

100.0%

Counts

321 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.3%	(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64)))) #s(literal 2 binary64))
	93.5%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
▶	90.1%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
▶	81.3%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
▶	100.0%	(sinh.f64 x)
▶	48.5%	x

Compiler

Compiled 130 to 84 computations (35.4% saved)

simplify221.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))
✓	cost-diff	0	(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal 1/3 binary64))
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64)))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64))))
✓	cost-diff	128	(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64)))) #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 x #s(literal 1/6 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 1/6 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
✓	cost-diff	0	(sinh.f64 x)

Rules

2500×	`-lowering-.f32`
2500×	`-lowering-.f64`
2064×	`/-lowering-/.f32`
2064×	`/-lowering-/.f64`
1764×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	134
1	71	122
2	166	116
3	398	116
4	689	116
5	923	116
6	1608	116
7	4124	116
8	6661	116
0	8106	116

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(sinh x)
x
x
(* x (+ 1 (* x (* x 1/6))))
x
(+ 1 (* x (* x 1/6)))
1
(* x (* x 1/6))
(* x 1/6)
1/6
(/ (* x (+ 2 (* (* x x) 1/3))) 2)
(* x (+ 2 (* (* x x) 1/3)))
x
(+ 2 (* (* x x) 1/3))
2
(* (* x x) 1/3)
(* x x)
1/3
(* x (+ 1 (* x (* x (+ 1/6 (* (* x x) 1/120))))))
x
(+ 1 (* x (* x (+ 1/6 (* (* x x) 1/120)))))
1
(* x (* x (+ 1/6 (* (* x x) 1/120))))
(* x (+ 1/6 (* (* x x) 1/120)))
(+ 1/6 (* (* x x) 1/120))
1/6
(* (* x x) 1/120)
(* x x)
1/120

Outputs
(sinh x)
(sinh.f64 x)
x
x
(* x (+ 1 (* x (* x 1/6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
x
(+ 1 (* x (* x 1/6)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
1
#s(literal 1 binary64)
(* x (* x 1/6))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(/ (* x (+ 2 (* (* x x) 1/3))) 2)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* x (+ 2 (* (* x x) 1/3)))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64))))
x
(+ 2 (* (* x x) 1/3))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64)))
2
#s(literal 2 binary64)
(* (* x x) 1/3)
(.f64 (.f64 x x) #s(literal 1/3 binary64))
(* x x)
(*.f64 x x)
1/3
#s(literal 1/3 binary64)
(* x (+ 1 (* x (* x (+ 1/6 (* (* x x) 1/120))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64))))))))
x
(+ 1 (* x (* x (+ 1/6 (* (* x x) 1/120)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))))
1
#s(literal 1 binary64)
(* x (* x (+ 1/6 (* (* x x) 1/120))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))
(* x (+ 1/6 (* (* x x) 1/120)))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))
(+ 1/6 (* (* x x) 1/120))
(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))
1/6
#s(literal 1/6 binary64)
(* (* x x) 1/120)
(.f64 x (.f64 x #s(literal 1/120 binary64)))
(* x x)
(*.f64 x x)
1/120
#s(literal 1/120 binary64)

localize154.0ms (1.5%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
✓	accuracy	99.8%	(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))))
✓	accuracy	99.7%	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))
✓	accuracy	99.4%	(.f64 (.f64 x x) #s(literal 1/120 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/3 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/6 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	100.0%	(sinh.f64 x)

Results

114.0ms

256×

valid

Compiler

Compiled 138 to 23 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 31.0ms (60.4% of total)

...c/correct-round.rkt:119:19: 10.0ms (19.5% of total)

ival-add: 5.0ms (9.7% of total)

ival-div: 2.0ms (3.9% of total)

ival-sinh: 2.0ms (3.9% of total)

const: 1.0ms (1.9% of total)

backward-pass: 0.0ms (0% of total)

series14.0ms (0.1%)

Counts

15 → 180

Calls

Call 1

Inputs
#<alt (sinh x)>
#<alt (* x (+ 1 (* x (* x 1/6))))>
#<alt (+ 1 (* x (* x 1/6)))>
#<alt (* x (* x 1/6))>
#<alt (* x 1/6)>
#<alt (/ (* x (+ 2 (* (* x x) 1/3))) 2)>
#<alt (* x (+ 2 (* (* x x) 1/3)))>
#<alt (+ 2 (* (* x x) 1/3))>
#<alt (* (* x x) 1/3)>
#<alt (* x (+ 1 (* x (* x (+ 1/6 (* (* x x) 1/120))))))>
#<alt (+ 1 (* x (* x (+ 1/6 (* (* x x) 1/120)))))>
#<alt (* x (* x (+ 1/6 (* (* x x) 1/120))))>
#<alt (* x (+ 1/6 (* (* x x) 1/120)))>
#<alt (* x x)>
#<alt (* (* x x) 1/120)>

Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (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 x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/3 (pow x 2))))>
#<alt (* x (+ 2 (* 1/3 (pow x 2))))>
#<alt (* x (+ 2 (* 1/3 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (pow x 2)))>
#<alt (+ 2 (* 1/3 (pow x 2)))>
#<alt (+ 2 (* 1/3 (pow x 2)))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* 1/120 (pow x 5))>
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/120 (pow x 5))>
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* 1/120 (pow x 3))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 3))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 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 (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>

Calls

45 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(* x (+ 1 (* x (* x (+ 1/6 (* (* x x) 1/120))))))
1.0ms	x	@	inf	(/ (* x (+ 2 (* (* x x) 1/3))) 2)
1.0ms	x	@	-inf	(sinh x)
1.0ms	x	@	inf	(sinh x)
1.0ms	x	@	0	(/ (* x (+ 2 (* (* x x) 1/3))) 2)

rewrite345.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

4506×	`-lowering-.f32`
4506×	`-lowering-.f64`
2628×	`/-lowering-/.f32`
2628×	`/-lowering-/.f64`
2012×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	114
1	132	103
2	1013	99
0	8606	99

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 425

Calls

Call 1

Inputs
(sinh x)
(* x (+ 1 (* x (* x 1/6))))
(+ 1 (* x (* x 1/6)))
(* x (* x 1/6))
(* x 1/6)
(/ (* x (+ 2 (* (* x x) 1/3))) 2)
(* x (+ 2 (* (* x x) 1/3)))
(+ 2 (* (* x x) 1/3))
(* (* x x) 1/3)
(* x (+ 1 (* x (* x (+ 1/6 (* (* x x) 1/120))))))
(+ 1 (* x (* x (+ 1/6 (* (* x x) 1/120)))))
(* x (* x (+ 1/6 (* (* x x) 1/120))))
(* x (+ 1/6 (* (* x x) 1/120)))
(* x x)
(* (* x x) 1/120)

Outputs
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (neg.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64))))
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)))
(neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal -2 binary64)))
(sinh.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 (.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64))) (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)))) (+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sinh.f64 x))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -1/2 binary64))
(+.f64 x (.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 x x)))
(+.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x)
(-.f64 (/.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64))))) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
(fma.f64 x #s(literal 1 binary64) (.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 x x)))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64))) x)
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 x x)))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x x) x)
(fma.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) x x)
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)) x)
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x x)) (-.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x x)) x))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64)))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) #s(literal 1/6 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) #s(literal 1/6 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64))) x)))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x x)) (-.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x))))
(/.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal 1/6 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
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(fma.f64 x #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/120 binary64)))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) x (.f64 x (.f64 x (*.f64 x #s(literal 1/120 binary64)))))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/120 binary64)) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x)) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) x (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (.f64 x #s(literal 1/120 binary64)) (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/120 binary64) (*.f64 x #s(literal 1/6 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))
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(/.f64 (+.f64 (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)))) (+.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64)))) (-.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64)))) (.f64 x #s(literal 1/6 binary64))))))
(/.f64 (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/720 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/14400 binary64))))) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/720 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/14400 binary64)))) x) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64))))) (neg.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64)))) (-.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64)))) (.f64 x #s(literal 1/6 binary64)))))))
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(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/14400 binary64)))))) (+.f64 #s(literal -1/6 binary64) (neg.f64 (.f64 (*.f64 x x) #s(literal -1/120 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)))) x)) (+.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/720 binary64)))) #s(literal -1/36 binary64)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/14400 binary64)))) x)) (+.f64 #s(literal -1/6 binary64) (neg.f64 (.f64 (*.f64 x x) #s(literal -1/120 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64))) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/14400 binary64)))) (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64)))) (*.f64 x #s(literal 1/6 binary64))))))
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(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))) x)
(.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))) #s(literal 1 binary64))
(.f64 (+.f64 (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64)))) (-.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64)))) (*.f64 x #s(literal 1/6 binary64)))))))
(.f64 (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64))))))
(.f64 (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/720 binary64))))))
(.f64 (.f64 x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/14400 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64)))))
(.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/720 binary64))))))
(.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/14400 binary64)))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64)))))
(.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))) #s(literal 1 binary64)) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 x (.f64 x #s(literal 1/120 binary64)))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
(.f64 (.f64 x (*.f64 x #s(literal 1/120 binary64))) #s(literal 1 binary64))
(.f64 (.f64 x #s(literal 1/120 binary64)) x)

simplify262.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

4500×	`-lowering-.f32`
4500×	`-lowering-.f64`
1598×	`+-lowering-+.f64`
1598×	`+-lowering-+.f32`
1258×	`sum4-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	69	1254
1	228	1130
2	660	1113
3	2895	1111
4	5623	1111
0	8298	1111

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* x (+ 1 (* 1/6 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* x (+ 1 (* 1/6 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(+ 1 (* 1/6 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(+ 1 (* 1/6 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* x (+ 1 (* 1/6 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* x (+ 1 (* 1/6 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(* x (+ 2 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(* x (+ 2 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(* 1/3 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64))))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(* 1/3 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64))))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
2
#s(literal 2 binary64)
(+ 2 (* 1/3 (pow x 2)))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(+ 2 (* 1/3 (pow x 2)))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(+ 2 (* 1/3 (pow x 2)))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
(* 1/120 (pow x 5))
(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* 1/120 (pow x 5))
(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (-.f64 #s(literal 1/120 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (-.f64 #s(literal 1/120 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) (*.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))
(* 1/120 (pow x 4))
(.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))
(* 1/120 (pow x 4))
(.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))))
(* 1/120 (pow x 4))
(.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))))
(* 1/120 (pow x 4))
(.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(* 1/120 (pow x 3))
(.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(* 1/120 (pow x 3))
(.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 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)
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))

eval306.0ms (3.1%)

Compiler: Compiled 15263 to 1544 computations (89.9% saved)

prune67.0ms (0.7%)

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	607	18	625
Fresh	0	1	1
Picked	3	2	5
Done	0	0	0
Total	610	21	631

Accuracy

100.0%

Counts

631 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.9%	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))) (.f64 x x)) (-.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64))))))) x))
	18.1%	(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))) (-.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64))))))) x))))
	53.8%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))))
	90.1%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))))))
	81.3%	(+.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x)
▶	90.1%	(+.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64))))))) x)
	47.1%	(.f64 x (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1/46656 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal 1/6 binary64)))))))
	46.7%	(.f64 x (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64))))))))))
▶	52.7%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/720 binary64)))))))
	90.1%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))) (*.f64 x x))))
	93.5%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
▶	93.5%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))))
	81.3%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
	90.1%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))))))
	89.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))))
	47.2%	(.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
	38.4%	(.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
▶	47.0%	(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
▶	38.7%	(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
✓	100.0%	(sinh.f64 x)
✓	48.5%	x

Compiler

Compiled 1113 to 483 computations (56.6% saved)

simplify363.0ms (3.6%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Program
✓	cost-diff	(.f64 (.f64 x x) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)))))
✓	cost-diff	(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/720 binary64)))))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/720 binary64))))))
✓	cost-diff	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/720 binary64)))))))
✓	cost-diff	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))
✓	cost-diff	(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))
✓	cost-diff	(.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))))
✓	cost-diff	(+.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64))))))) x)
✓	cost-diff	(.f64 x (.f64 x x))
✓	cost-diff	(.f64 x (.f64 x (*.f64 x x)))
✓	cost-diff	(.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x x))))
✓	cost-diff	(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 x (.f64 x x))
✓	cost-diff	(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64))))))))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))))))))
✓	cost-diff	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))))

Rules

7368×	`fma-define`
7180×	`fma-lowering-fma.f32`
7180×	`fma-lowering-fma.f64`
2812×	`sum3-define`
2180×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	396
1	142	332
2	435	327
3	1168	327
4	2173	327
5	3763	327
6	5886	327
7	6257	327
8	6383	327
9	6383	327
10	6383	327
11	6825	327
12	7138	327
13	7181	327
14	7181	327
15	7181	327
0	10283	327

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x (+ 1 (* (* x x) (+ 1/6 (* x (* x (+ 1/120 (* x (* x 1/5040)))))))))
x
(+ 1 (* (* x x) (+ 1/6 (* x (* x (+ 1/120 (* x (* x 1/5040))))))))
1
(* (* x x) (+ 1/6 (* x (* x (+ 1/120 (* x (* x 1/5040)))))))
(* x x)
(+ 1/6 (* x (* x (+ 1/120 (* x (* x 1/5040))))))
1/6
(* x (* x (+ 1/120 (* x (* x 1/5040)))))
(* x (+ 1/120 (* x (* x 1/5040))))
(+ 1/120 (* x (* x 1/5040)))
1/120
(* x (* x 1/5040))
(* x 1/5040)
1/5040
(* 1/6 (* x (* x x)))
1/6
(* x (* x x))
x
(* x x)
(* x (* 1/120 (* x (* x (* x x)))))
x
(* 1/120 (* x (* x (* x x))))
1/120
(* x (* x (* x x)))
(* x (* x x))
(* x x)
(+ (* x (* x (* x (+ 1/6 (* x (* x 1/120)))))) x)
(* x (* x (* x (+ 1/6 (* x (* x 1/120))))))
x
(* x (* x (+ 1/6 (* x (* x 1/120)))))
(* x (+ 1/6 (* x (* x 1/120))))
(+ 1/6 (* x (* x 1/120)))
1/6
(* x (* x 1/120))
(* x 1/120)
1/120
(* x (+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* x x) (- (* (* x x) 1/14400) 1/720))))))
x
(+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* x x) (- (* (* x x) 1/14400) 1/720)))))
1
(/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* x x) (- (* (* x x) 1/14400) 1/720))))
(* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000))))
(* x x)
(+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))
1/216
(* (* x (* x x)) (* (* x (* x x)) 1/1728000))
(* x (* x x))
(* (* x (* x x)) 1/1728000)
1/1728000
(+ 1/36 (* (* x x) (- (* (* x x) 1/14400) 1/720)))
1/36
(* (* x x) (- (* (* x x) 1/14400) 1/720))
(- (* (* x x) 1/14400) 1/720)
(* (* x x) 1/14400)
1/14400
1/720

Outputs
(* x (+ 1 (* (* x x) (+ 1/6 (* x (* x (+ 1/120 (* x (* x 1/5040)))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))))
x
(+ 1 (* (* x x) (+ 1/6 (* x (* x (+ 1/120 (* x (* x 1/5040))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))))
1
#s(literal 1 binary64)
(* (* x x) (+ 1/6 (* x (* x (+ 1/120 (* x (* x 1/5040)))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))
(* x x)
(*.f64 x x)
(+ 1/6 (* x (* x (+ 1/120 (* x (* x 1/5040))))))
(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))
1/6
#s(literal 1/6 binary64)
(* x (* x (+ 1/120 (* x (* x 1/5040)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))
(* x (+ 1/120 (* x (* x 1/5040))))
(.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(+ 1/120 (* x (* x 1/5040)))
(+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))
1/120
#s(literal 1/120 binary64)
(* x (* x 1/5040))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* x 1/5040)
(*.f64 x #s(literal 1/5040 binary64))
1/5040
#s(literal 1/5040 binary64)
(* 1/6 (* x (* x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
1/6
#s(literal 1/6 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
x
(* x x)
(*.f64 x x)
(* x (* 1/120 (* x (* x (* x x)))))
(.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
x
(* 1/120 (* x (* x (* x x))))
(.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x x))))
1/120
#s(literal 1/120 binary64)
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
(+ (* x (* x (* x (+ 1/6 (* x (* x 1/120)))))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(* x (* x (* x (+ 1/6 (* x (* x 1/120))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))
x
(* x (* x (+ 1/6 (* x (* x 1/120)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))
(* x (+ 1/6 (* x (* x 1/120))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(+ 1/6 (* x (* x 1/120)))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
1/6
#s(literal 1/6 binary64)
(* x (* x 1/120))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* x 1/120)
(*.f64 x #s(literal 1/120 binary64))
1/120
#s(literal 1/120 binary64)
(* x (+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* x x) (- (* (* x x) 1/14400) 1/720))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64))))) (/.f64 (.f64 x x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal -1/720 binary64))))))))
x
(+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* x x) (- (* (* x x) 1/14400) 1/720)))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64))))) (/.f64 (.f64 x x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/14400 binary64)) #s(literal -1/720 binary64)))))))
1
#s(literal 1 binary64)
(/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* x x) (- (* (* x x) 1/14400) 1/720))))
(.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64))))) (/.f64 (.f64 x x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/14400 binary64)) #s(literal -1/720 binary64))))))
(* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64))))))
(* x x)
(*.f64 x x)
(+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))
(+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)))))
1/216
#s(literal 1/216 binary64)
(* (* x (* x x)) (* (* x (* x x)) 1/1728000))
(.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64))))
(* x (* x x))
(.f64 x (.f64 x x))
(* (* x (* x x)) 1/1728000)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))
1/1728000
#s(literal 1/1728000 binary64)
(+ 1/36 (* (* x x) (- (* (* x x) 1/14400) 1/720)))
(+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/14400 binary64)) #s(literal -1/720 binary64))))
1/36
#s(literal 1/36 binary64)
(* (* x x) (- (* (* x x) 1/14400) 1/720))
(.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/14400 binary64)) #s(literal -1/720 binary64)))
(- (* (* x x) 1/14400) 1/720)
(+.f64 (.f64 (.f64 x x) #s(literal 1/14400 binary64)) #s(literal -1/720 binary64))
(* (* x x) 1/14400)
(.f64 (.f64 x x) #s(literal 1/14400 binary64))
1/14400
#s(literal 1/14400 binary64)
1/720
#s(literal 1/720 binary64)

localize224.0ms (2.2%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/720 binary64)))
✓	accuracy	99.5%	(.f64 (.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))
✓	accuracy	99.5%	(.f64 (.f64 x x) #s(literal 1/14400 binary64))
✓	accuracy	60.9%	(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/720 binary64)))))
✓	accuracy	99.8%	(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))
✓	accuracy	99.8%	(*.f64 x #s(literal 1/120 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/120 binary64)))
✓	accuracy	99.7%	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))
✓	accuracy	99.9%	(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.6%	(.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x x))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.5%	(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
✓	accuracy	99.9%	(.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64))))))
✓	accuracy	99.8%	(.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal 1/5040 binary64)))))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64))))))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/5040 binary64)))

Results

139.0ms

256×

valid

Compiler

Compiled 445 to 44 computations (90.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-mult: 40.0ms (48.7% of total)

...c/correct-round.rkt:119:19: 28.0ms (34.1% of total)

ival-add: 11.0ms (13.4% of total)

ival-div: 2.0ms (2.4% of total)

ival-sub: 1.0ms (1.2% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series23.0ms (0.2%)

Counts

25 → 300

Calls

Call 1

Inputs
#<alt (* x (+ 1 (* (* x x) (+ 1/6 (* x (* x (+ 1/120 (* x (* x 1/5040)))))))))>
#<alt (+ 1 (* (* x x) (+ 1/6 (* x (* x (+ 1/120 (* x (* x 1/5040))))))))>
#<alt (* (* x x) (+ 1/6 (* x (* x (+ 1/120 (* x (* x 1/5040)))))))>
#<alt (* x x)>
#<alt (* 1/6 (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (* x (* 1/120 (* x (* x (* x x)))))>
#<alt (* 1/120 (* x (* x (* x x))))>
#<alt (* x (* x (* x x)))>
#<alt (+ (* x (* x (* x (+ 1/6 (* x (* x 1/120)))))) x)>
#<alt (* x (* x (* x (+ 1/6 (* x (* x 1/120))))))>
#<alt (* x (* x (+ 1/6 (* x (* x 1/120)))))>
#<alt (* x (+ 1/6 (* x (* x 1/120))))>
#<alt (* x (+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* x x) (- (* (* x x) 1/14400) 1/720))))))>
#<alt (+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* x x) (- (* (* x x) 1/14400) 1/720)))))>
#<alt (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* x x) (- (* (* x x) 1/14400) 1/720))))>
#<alt (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000))))>
#<alt (* x (* x 1/5040))>
#<alt (* x (+ 1/120 (* x (* x 1/5040))))>
#<alt (* x (* x (+ 1/120 (* x (* x 1/5040)))))>
#<alt (* x (* x 1/120))>
#<alt (* x 1/120)>
#<alt (* (* x x) 1/14400)>
#<alt (* (* x (* x x)) 1/1728000)>
#<alt (* (* x x) (- (* (* x x) 1/14400) 1/720))>

Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 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 (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (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 (pow x 3)>
#<alt (* 1/120 (pow x 5))>
#<alt (* 1/120 (pow x 5))>
#<alt (* 1/120 (pow x 5))>
#<alt (* 1/120 (pow x 5))>
#<alt (* 1/120 (pow x 5))>
#<alt (* 1/120 (pow x 5))>
#<alt (* 1/120 (pow x 5))>
#<alt (* 1/120 (pow x 5))>
#<alt (* 1/120 (pow x 5))>
#<alt (* 1/120 (pow x 5))>
#<alt (* 1/120 (pow x 5))>
#<alt (* 1/120 (pow x 5))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (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 x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* 1/120 (pow x 5))>
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/120 (pow x 5))>
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* 1/120 (pow x 5))>
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 5))>
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* 1/120 (pow x 3))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 3))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* 1/120 (pow x 5))>
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/120 (pow x 5))>
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/216 (pow x 2))>
#<alt (* (pow x 2) (+ 1/216 (* 1/1728000 (pow x 6))))>
#<alt (* (pow x 2) (+ 1/216 (* 1/1728000 (pow x 6))))>
#<alt (* (pow x 2) (+ 1/216 (* 1/1728000 (pow x 6))))>
#<alt (* 1/1728000 (pow x 8))>
#<alt (* (pow x 8) (+ 1/1728000 (* 1/216 (/ 1 (pow x 6)))))>
#<alt (* (pow x 8) (+ 1/1728000 (* 1/216 (/ 1 (pow x 6)))))>
#<alt (* (pow x 8) (+ 1/1728000 (* 1/216 (/ 1 (pow x 6)))))>
#<alt (* 1/1728000 (pow x 8))>
#<alt (* (pow x 8) (+ 1/1728000 (* 1/216 (/ 1 (pow x 6)))))>
#<alt (* (pow x 8) (+ 1/1728000 (* 1/216 (/ 1 (pow x 6)))))>
#<alt (* (pow x 8) (+ 1/1728000 (* 1/216 (/ 1 (pow x 6)))))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/120 x)>
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/14400 (pow x 2))>
#<alt (* 1/14400 (pow x 2))>
#<alt (* 1/14400 (pow x 2))>
#<alt (* 1/14400 (pow x 2))>
#<alt (* 1/14400 (pow x 2))>
#<alt (* 1/14400 (pow x 2))>
#<alt (* 1/14400 (pow x 2))>
#<alt (* 1/14400 (pow x 2))>
#<alt (* 1/14400 (pow x 2))>
#<alt (* 1/14400 (pow x 2))>
#<alt (* 1/14400 (pow x 2))>
#<alt (* 1/14400 (pow x 2))>
#<alt (* 1/1728000 (pow x 3))>
#<alt (* 1/1728000 (pow x 3))>
#<alt (* 1/1728000 (pow x 3))>
#<alt (* 1/1728000 (pow x 3))>
#<alt (* 1/1728000 (pow x 3))>
#<alt (* 1/1728000 (pow x 3))>
#<alt (* 1/1728000 (pow x 3))>
#<alt (* 1/1728000 (pow x 3))>
#<alt (* 1/1728000 (pow x 3))>
#<alt (* 1/1728000 (pow x 3))>
#<alt (* 1/1728000 (pow x 3))>
#<alt (* 1/1728000 (pow x 3))>
#<alt (* -1/720 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/14400 (pow x 2)) 1/720))>
#<alt (* (pow x 2) (- (* 1/14400 (pow x 2)) 1/720))>
#<alt (* (pow x 2) (- (* 1/14400 (pow x 2)) 1/720))>
#<alt (* 1/14400 (pow x 4))>
#<alt (* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))>
#<alt (* 1/14400 (pow x 4))>
#<alt (* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))>

Calls

75 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(* x (* x 1/5040))
3.0ms	x	@	inf	(* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000))))
1.0ms	x	@	inf	(* x (+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* x x) (- (* (* x x) 1/14400) 1/720))))))
1.0ms	x	@	inf	(/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* x x) (- (* (* x x) 1/14400) 1/720))))
1.0ms	x	@	0	(* x (+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* x x) (- (* (* x x) 1/14400) 1/720))))))

rewrite320.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3644×	`-lowering-.f32`
3644×	`-lowering-.f64`
2968×	`fma-lowering-fma.f32`
2968×	`fma-lowering-fma.f64`
2000×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	294
1	258	244
2	2235	239
0	8358	239

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 403

Calls

Call 1

Inputs
(* x (+ 1 (* (* x x) (+ 1/6 (* x (* x (+ 1/120 (* x (* x 1/5040)))))))))
(+ 1 (* (* x x) (+ 1/6 (* x (* x (+ 1/120 (* x (* x 1/5040))))))))
(* (* x x) (+ 1/6 (* x (* x (+ 1/120 (* x (* x 1/5040)))))))
(* x x)
(* 1/6 (* x (* x x)))
(* x (* x x))
(* x (* 1/120 (* x (* x (* x x)))))
(* 1/120 (* x (* x (* x x))))
(* x (* x (* x x)))
(+ (* x (* x (* x (+ 1/6 (* x (* x 1/120)))))) x)
(* x (* x (* x (+ 1/6 (* x (* x 1/120))))))
(* x (* x (+ 1/6 (* x (* x 1/120)))))
(* x (+ 1/6 (* x (* x 1/120))))
(* x (+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* x x) (- (* (* x x) 1/14400) 1/720))))))
(+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* x x) (- (* (* x x) 1/14400) 1/720)))))
(/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* x x) (- (* (* x x) 1/14400) 1/720))))
(* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000))))
(* x (* x 1/5040))
(* x (+ 1/120 (* x (* x 1/5040))))
(* x (* x (+ 1/120 (* x (* x 1/5040)))))
(* x (* x 1/120))
(* x 1/120)
(* (* x x) 1/14400)
(* (* x (* x x)) 1/1728000)
(* (* x x) (- (* (* x x) 1/14400) 1/720))

Outputs
(+.f64 x (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (.f64 x (*.f64 x x))))
(+.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (.f64 x (*.f64 x x))) x)
(fma.f64 x #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (.f64 x (*.f64 x x))))
(fma.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))) x)
(fma.f64 #s(literal 1 binary64) x (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (.f64 x (*.f64 x x))))
(fma.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))) x)
(fma.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (.f64 x (.f64 x x)) x)
(fma.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))) x x)
(fma.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) x)
(fma.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))) (.f64 x x) x)
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (.f64 x (.f64 x x))) (.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (.f64 x (.f64 x x)))))) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (.f64 x (.f64 x x)))) (.f64 x (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (.f64 x (*.f64 x x)))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (.f64 x (.f64 x x))))) (-.f64 x (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (.f64 x (*.f64 x x)))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))) #s(literal 1 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))))) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))))
(+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))) #s(literal 1 binary64))
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))))) (/.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))))
(fma.f64 x (.f64 x #s(literal 1/6 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) #s(literal 1 binary64)))
(fma.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))) #s(literal 1 binary64))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) x (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) #s(literal 1 binary64)))
(fma.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))) x #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))) (.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))))) (+.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))))
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(.f64 x (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/1728000 binary64)))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/1728000 binary64))))))
(.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/1728000 binary64))))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/1728000 binary64)))))) x)
(.f64 x (.f64 x #s(literal 1/5040 binary64)))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(.f64 #s(literal 1/5040 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/5040 binary64)) x)
(+.f64 (.f64 x #s(literal 1/120 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))) (.f64 x #s(literal 1/120 binary64)))
(fma.f64 x #s(literal 1/120 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x #s(literal 1/120 binary64)))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/5040 binary64)) (*.f64 x #s(literal 1/120 binary64)))
(fma.f64 #s(literal 1/120 binary64) x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(fma.f64 (.f64 x #s(literal 1/5040 binary64)) (.f64 x x) (*.f64 x #s(literal 1/120 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) x (*.f64 x #s(literal 1/120 binary64)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/5040 binary64) (*.f64 x #s(literal 1/120 binary64)))
(/.f64 (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/1728000 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/128024064000 binary64))) (+.f64 (.f64 (.f64 x #s(literal 1/120 binary64)) (.f64 x #s(literal 1/120 binary64))) (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) (.f64 (.f64 x #s(literal 1/120 binary64)) (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 1/120 binary64)) (.f64 x #s(literal 1/120 binary64))) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (-.f64 (.f64 x #s(literal 1/120 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/128024064000 binary64)))) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)))) (-.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/128024064000 binary64))) x) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) x) (-.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(.f64 (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))) x)
(+.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))
(+.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))) x))
(+.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) (.f64 x (.f64 x #s(literal 1/120 binary64))))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x x)) (.f64 x (.f64 x #s(literal 1/120 binary64))))
(fma.f64 x (.f64 x #s(literal 1/120 binary64)) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))
(fma.f64 x (.f64 x #s(literal 1/120 binary64)) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(fma.f64 x (.f64 x #s(literal 1/120 binary64)) (.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64))) x))
(fma.f64 x (.f64 x #s(literal 1/120 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x x)))
(fma.f64 (.f64 x x) #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))
(fma.f64 (.f64 x x) #s(literal 1/120 binary64) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(fma.f64 (.f64 x x) #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64))) x))
(fma.f64 (.f64 x x) #s(literal 1/120 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x x)))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x (*.f64 x #s(literal 1/120 binary64))))
(fma.f64 #s(literal 1/120 binary64) (.f64 x x) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))
(fma.f64 #s(literal 1/120 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(fma.f64 #s(literal 1/120 binary64) (.f64 x x) (.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64))) x))
(fma.f64 #s(literal 1/120 binary64) (.f64 x x) (.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x x)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x x) (.f64 x (*.f64 x #s(literal 1/120 binary64))))
(fma.f64 (.f64 x #s(literal 1/120 binary64)) x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))
(fma.f64 (.f64 x #s(literal 1/120 binary64)) x (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(fma.f64 (.f64 x #s(literal 1/120 binary64)) x (.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64))) x))
(fma.f64 (.f64 x #s(literal 1/120 binary64)) x (.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x x)))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/128024064000 binary64)))) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)))) (-.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(.f64 (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) x)
(.f64 x (.f64 x #s(literal 1/120 binary64)))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/120 binary64)) x)
(*.f64 x #s(literal 1/120 binary64))
(*.f64 #s(literal 1/120 binary64) x)
(.f64 x (.f64 x #s(literal 1/14400 binary64)))
(.f64 (.f64 x x) #s(literal 1/14400 binary64))
(.f64 #s(literal 1/14400 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/14400 binary64)) x)
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1/120 binary64))) #s(literal 3 binary64)))
(pow.f64 (*.f64 x #s(literal 1/120 binary64)) #s(literal 3 binary64))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/1728000 binary64)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/1728000 binary64)))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))
(.f64 (.f64 x #s(literal 1/120 binary64)) (.f64 (.f64 x #s(literal 1/120 binary64)) (*.f64 x #s(literal 1/120 binary64))))
(.f64 #s(literal 1/1728000 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 (*.f64 x x) #s(literal 1/1728000 binary64)) x)
(.f64 (.f64 (.f64 x #s(literal 1/120 binary64)) (.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal 1/120 binary64)))
(.f64 (.f64 #s(literal 1/1728000 binary64) x) (*.f64 x x))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/14400 binary64))) (.f64 (.f64 x x) #s(literal -1/720 binary64)))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/14400 binary64)) (.f64 x x)) (.f64 #s(literal -1/720 binary64) (.f64 x x)))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/14400 binary64)) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/14400 binary64)) (.f64 x x) (.f64 #s(literal -1/720 binary64) (*.f64 x x)))
(/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/2985984000000 binary64))) #s(literal -1/373248000 binary64))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/207360000 binary64)) (+.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) #s(literal 1/10368000 binary64)))))
(/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/207360000 binary64)) #s(literal -1/518400 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/720 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/2985984000000 binary64))) #s(literal -1/373248000 binary64)) (.f64 x x)) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/207360000 binary64)) (+.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x x) #s(literal 1/10368000 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/207360000 binary64)) #s(literal -1/518400 binary64)) (.f64 x x)) (+.f64 (.f64 (.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/720 binary64)))
(.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/14400 binary64)) #s(literal -1/720 binary64))))
(.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/14400 binary64)) #s(literal -1/720 binary64)))
(.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/14400 binary64)) #s(literal -1/720 binary64)) (.f64 x x))
(.f64 (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/14400 binary64)) #s(literal -1/720 binary64))) x)

simplify214.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

2828×	`-lowering-.f32`
2828×	`-lowering-.f64`
1712×	`sum3-define`
1552×	`+-lowering-+.f64`
1552×	`+-lowering-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	114	2285
1	373	2166
2	1087	2146
3	3207	2140
4	6283	2140
0	8046	2140

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/120 (pow x 5))
(* 1/120 (pow x 5))
(* 1/120 (pow x 5))
(* 1/120 (pow x 5))
(* 1/120 (pow x 5))
(* 1/120 (pow x 5))
(* 1/120 (pow x 5))
(* 1/120 (pow x 5))
(* 1/120 (pow x 5))
(* 1/120 (pow x 5))
(* 1/120 (pow x 5))
(* 1/120 (pow x 5))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (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)
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* 1/120 (pow x 5))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/120 (pow x 5))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* 1/120 (pow x 2))))
(* 1/120 (pow x 5))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 5))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/6 x)
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* 1/120 (pow x 3))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 3))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* 1/120 (pow x 5))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/120 (pow x 5))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/216 (pow x 2))
(* (pow x 2) (+ 1/216 (* 1/1728000 (pow x 6))))
(* (pow x 2) (+ 1/216 (* 1/1728000 (pow x 6))))
(* (pow x 2) (+ 1/216 (* 1/1728000 (pow x 6))))
(* 1/1728000 (pow x 8))
(* (pow x 8) (+ 1/1728000 (* 1/216 (/ 1 (pow x 6)))))
(* (pow x 8) (+ 1/1728000 (* 1/216 (/ 1 (pow x 6)))))
(* (pow x 8) (+ 1/1728000 (* 1/216 (/ 1 (pow x 6)))))
(* 1/1728000 (pow x 8))
(* (pow x 8) (+ 1/1728000 (* 1/216 (/ 1 (pow x 6)))))
(* (pow x 8) (+ 1/1728000 (* 1/216 (/ 1 (pow x 6)))))
(* (pow x 8) (+ 1/1728000 (* 1/216 (/ 1 (pow x 6)))))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/120 x)
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* 1/5040 (pow x 3))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 3))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))
(* 1/5040 (pow x 4))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 4))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/14400 (pow x 2))
(* 1/14400 (pow x 2))
(* 1/14400 (pow x 2))
(* 1/14400 (pow x 2))
(* 1/14400 (pow x 2))
(* 1/14400 (pow x 2))
(* 1/14400 (pow x 2))
(* 1/14400 (pow x 2))
(* 1/14400 (pow x 2))
(* 1/14400 (pow x 2))
(* 1/14400 (pow x 2))
(* 1/14400 (pow x 2))
(* 1/1728000 (pow x 3))
(* 1/1728000 (pow x 3))
(* 1/1728000 (pow x 3))
(* 1/1728000 (pow x 3))
(* 1/1728000 (pow x 3))
(* 1/1728000 (pow x 3))
(* 1/1728000 (pow x 3))
(* 1/1728000 (pow x 3))
(* 1/1728000 (pow x 3))
(* 1/1728000 (pow x 3))
(* 1/1728000 (pow x 3))
(* 1/1728000 (pow x 3))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/14400 (pow x 2)) 1/720))
(* (pow x 2) (- (* 1/14400 (pow x 2)) 1/720))
(* (pow x 2) (- (* 1/14400 (pow x 2)) 1/720))
(* 1/14400 (pow x 4))
(* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))
(* 1/14400 (pow x 4))
(* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))

Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))))
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))))
(* 1/5040 (pow x 6))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64))))
(* 1/5040 (pow x 6))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64))))
(* 1/6 (pow x 2))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))
(* 1/5040 (pow x 6))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(* 1/5040 (pow x 6))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 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)
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.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))
(* 1/120 (pow x 5))
(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(* 1/120 (pow x 5))
(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(* 1/120 (pow x 5))
(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(* 1/120 (pow x 5))
(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(* 1/120 (pow x 5))
(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(* 1/120 (pow x 5))
(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(* 1/120 (pow x 5))
(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(* 1/120 (pow x 5))
(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(* 1/120 (pow x 5))
(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(* 1/120 (pow x 5))
(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(* 1/120 (pow x 5))
(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(* 1/120 (pow x 5))
(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(* 1/120 (pow x 4))
(.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 1/120 (pow x 4))
(.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 1/120 (pow x 4))
(.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 1/120 (pow x 4))
(.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 1/120 (pow x 4))
(.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 1/120 (pow x 4))
(.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 1/120 (pow x 4))
(.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 1/120 (pow x 4))
(.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 1/120 (pow x 4))
(.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 1/120 (pow x 4))
(.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 1/120 (pow x 4))
(.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 1/120 (pow x 4))
(.f64 #s(literal 1/120 binary64) (.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)))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(* 1/120 (pow x 5))
(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
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(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/14400 (pow x 2))
(.f64 x (.f64 x #s(literal 1/14400 binary64)))
(* 1/14400 (pow x 2))
(.f64 x (.f64 x #s(literal 1/14400 binary64)))
(* 1/14400 (pow x 2))
(.f64 x (.f64 x #s(literal 1/14400 binary64)))
(* 1/14400 (pow x 2))
(.f64 x (.f64 x #s(literal 1/14400 binary64)))
(* 1/14400 (pow x 2))
(.f64 x (.f64 x #s(literal 1/14400 binary64)))
(* 1/14400 (pow x 2))
(.f64 x (.f64 x #s(literal 1/14400 binary64)))
(* 1/14400 (pow x 2))
(.f64 x (.f64 x #s(literal 1/14400 binary64)))
(* 1/14400 (pow x 2))
(.f64 x (.f64 x #s(literal 1/14400 binary64)))
(* 1/14400 (pow x 2))
(.f64 x (.f64 x #s(literal 1/14400 binary64)))
(* 1/14400 (pow x 2))
(.f64 x (.f64 x #s(literal 1/14400 binary64)))
(* 1/14400 (pow x 2))
(.f64 x (.f64 x #s(literal 1/14400 binary64)))
(* 1/14400 (pow x 2))
(.f64 x (.f64 x #s(literal 1/14400 binary64)))
(* 1/1728000 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))
(* 1/1728000 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))
(* 1/1728000 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))
(* 1/1728000 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))
(* 1/1728000 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))
(* 1/1728000 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))
(* 1/1728000 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))
(* 1/1728000 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))
(* 1/1728000 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))
(* 1/1728000 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))
(* 1/1728000 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))
(* 1/1728000 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))
(* -1/720 (pow x 2))
(.f64 x (.f64 x #s(literal -1/720 binary64)))
(* (pow x 2) (- (* 1/14400 (pow x 2)) 1/720))
(.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal 1/14400 binary64))) #s(literal -1/720 binary64)))
(* (pow x 2) (- (* 1/14400 (pow x 2)) 1/720))
(.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal 1/14400 binary64))) #s(literal -1/720 binary64)))
(* (pow x 2) (- (* 1/14400 (pow x 2)) 1/720))
(.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal 1/14400 binary64))) #s(literal -1/720 binary64)))
(* 1/14400 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/14400 binary64))
(* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal 1/14400 binary64))) #s(literal -1/720 binary64)))
(* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal 1/14400 binary64))) #s(literal -1/720 binary64)))
(* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal 1/14400 binary64))) #s(literal -1/720 binary64)))
(* 1/14400 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/14400 binary64))
(* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal 1/14400 binary64))) #s(literal -1/720 binary64)))
(* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal 1/14400 binary64))) #s(literal -1/720 binary64)))
(* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal 1/14400 binary64))) #s(literal -1/720 binary64)))

eval110.0ms (1.1%)

Compiler: Compiled 27001 to 2020 computations (92.5% saved)

prune88.0ms (0.9%)

Pruning

31 alts after pruning (25 fresh and 6 done)

	Pruned	Kept	Total
New	890	19	909
Fresh	8	6	14
Picked	1	4	5
Done	0	2	2
Total	899	31	930

Accuracy

100.0%

Counts

930 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.9%	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))) (.f64 x x)) (-.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64))))))) x))
	18.1%	(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))) (-.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64))))))) x))))
	53.8%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))))
	51.5%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))))) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))))
	90.1%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))))))
	93.5%	(+.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (.f64 x (*.f64 x x))) x)
	90.1%	(+.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64))))) x) x)
	90.1%	(+.f64 (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/120 binary64))) (.f64 x #s(literal 1/6 binary64))))) x)
✓	90.1%	(+.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64))))))) x)
	81.7%	(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) x)
▶	47.0%	(.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/120 binary64))) (*.f64 x x))
	38.4%	(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
▶	38.4%	(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
	28.7%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/216 binary64)) (.f64 (.f64 x x) #s(literal 1/216 binary64))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/1728000 binary64)))))) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/1728000 binary64)))))))) (-.f64 (.f64 (.f64 x x) #s(literal 1/216 binary64)) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/1728000 binary64)))))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/720 binary64)))))))
	52.3%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/14400 binary64))))))
▶	93.5%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (*.f64 x x))))
	66.1%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)))) (-.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
	52.8%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/128024064000 binary64)))) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))))))
	66.1%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) x) (-.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))))
▶	52.4%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/128024064000 binary64))) x) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))))))))
✓	93.5%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))))
▶	93.4%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x))))))))
	81.3%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
	90.1%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))))))
	47.0%	(.f64 x (.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (*.f64 x x)))
	47.2%	(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
	47.0%	(.f64 x (.f64 (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))) x))
✓	47.0%	(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
✓	38.7%	(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
✓	100.0%	(sinh.f64 x)
✓	48.5%	x

Compiler

Compiled 1539 to 720 computations (53.2% saved)

simplify195.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(+.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/128024064000 binary64))) x) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))))
✓	cost-diff	128	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/128024064000 binary64))) x) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))))))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/128024064000 binary64))) x) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))))))
✓	cost-diff	128	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/128024064000 binary64))) x) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x)))))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x))))))))
✓	cost-diff	0	(*.f64 x #s(literal 1/120 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (*.f64 x #s(literal 1/120 binary64)))
✓	cost-diff	0	(.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/120 binary64))) (*.f64 x x))
✓	cost-diff	0	(*.f64 x #s(literal 1/6 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (.f64 x x))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (.f64 x x)))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (*.f64 x x))))

Rules

2492×	`-lowering-.f32`
2492×	`-lowering-.f64`
2002×	`sum3-define`
1904×	`+-lowering-+.f64`
1904×	`+-lowering-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	512
1	149	420
2	478	403
3	1326	395
4	2726	395
5	4682	395
6	7018	395
7	7978	395
0	8202	395

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x (+ 1 (* (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))) (* x x))))
x
(+ 1 (* (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))) (* x x)))
1
(* (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))) (* x x))
(+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040))))
1/6
(* (* x x) (+ 1/120 (* (* x x) 1/5040)))
(* x x)
(+ 1/120 (* (* x x) 1/5040))
1/120
(* (* x x) 1/5040)
1/5040
(* (* x x) (* x 1/6))
(* x x)
x
(* x 1/6)
1/6
(* (* (* x x) (* x 1/120)) (* x x))
(* (* x x) (* x 1/120))
(* x x)
x
(* x 1/120)
1/120
(* x (+ 1 (* (* x x) (+ 1/6 (* x (* 1/5040 (* x (* x x))))))))
x
(+ 1 (* (* x x) (+ 1/6 (* x (* 1/5040 (* x (* x x)))))))
1
(* (* x x) (+ 1/6 (* x (* 1/5040 (* x (* x x))))))
(* x x)
(+ 1/6 (* x (* 1/5040 (* x (* x x)))))
1/6
(* x (* 1/5040 (* x (* x x))))
(* 1/5040 (* x (* x x)))
1/5040
(* x (* x x))
(* x (+ 1 (* (* x x) (+ 1/6 (* x (/ (* (+ 1/1728000 (* (* (* x x) (* x (* x (* x x)))) 1/128024064000)) x) (+ 1/14400 (* (* (* x x) 1/5040) (- (* (* x x) 1/5040) 1/120)))))))))
x
(+ 1 (* (* x x) (+ 1/6 (* x (/ (* (+ 1/1728000 (* (* (* x x) (* x (* x (* x x)))) 1/128024064000)) x) (+ 1/14400 (* (* (* x x) 1/5040) (- (* (* x x) 1/5040) 1/120))))))))
1
(* (* x x) (+ 1/6 (* x (/ (* (+ 1/1728000 (* (* (* x x) (* x (* x (* x x)))) 1/128024064000)) x) (+ 1/14400 (* (* (* x x) 1/5040) (- (* (* x x) 1/5040) 1/120)))))))
(* x x)
(+ 1/6 (* x (/ (* (+ 1/1728000 (* (* (* x x) (* x (* x (* x x)))) 1/128024064000)) x) (+ 1/14400 (* (* (* x x) 1/5040) (- (* (* x x) 1/5040) 1/120))))))
1/6
(* x (/ (* (+ 1/1728000 (* (* (* x x) (* x (* x (* x x)))) 1/128024064000)) x) (+ 1/14400 (* (* (* x x) 1/5040) (- (* (* x x) 1/5040) 1/120)))))
(/ (* (+ 1/1728000 (* (* (* x x) (* x (* x (* x x)))) 1/128024064000)) x) (+ 1/14400 (* (* (* x x) 1/5040) (- (* (* x x) 1/5040) 1/120))))
(* (+ 1/1728000 (* (* (* x x) (* x (* x (* x x)))) 1/128024064000)) x)
(+ 1/1728000 (* (* (* x x) (* x (* x (* x x)))) 1/128024064000))
1/1728000
(* (* (* x x) (* x (* x (* x x)))) 1/128024064000)
(* (* x x) (* x (* x (* x x))))
(* x (* x (* x x)))
(* x (* x x))
1/128024064000
(+ 1/14400 (* (* (* x x) 1/5040) (- (* (* x x) 1/5040) 1/120)))
1/14400
(* (* (* x x) 1/5040) (- (* (* x x) 1/5040) 1/120))
(* (* x x) 1/5040)
1/5040
(- (* (* x x) 1/5040) 1/120)
1/120

Outputs
(* x (+ 1 (* (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))) (* x x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))))
x
(+ 1 (* (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))) (* x x)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))))
1
#s(literal 1 binary64)
(* (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))) (* x x))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))
(+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040))))
(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))
1/6
#s(literal 1/6 binary64)
(* (* x x) (+ 1/120 (* (* x x) 1/5040)))
(.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))
(* x x)
(*.f64 x x)
(+ 1/120 (* (* x x) 1/5040))
(+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))
1/120
#s(literal 1/120 binary64)
(* (* x x) 1/5040)
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
1/5040
#s(literal 1/5040 binary64)
(* (* x x) (* x 1/6))
(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* x x)
(*.f64 x x)
x
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(* (* (* x x) (* x 1/120)) (* x x))
(.f64 x (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(* (* x x) (* x 1/120))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(* x x)
(*.f64 x x)
x
(* x 1/120)
(*.f64 x #s(literal 1/120 binary64))
1/120
#s(literal 1/120 binary64)
(* x (+ 1 (* (* x x) (+ 1/6 (* x (* 1/5040 (* x (* x x))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
x
(+ 1 (* (* x x) (+ 1/6 (* x (* 1/5040 (* x (* x x)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))
1
#s(literal 1 binary64)
(* (* x x) (+ 1/6 (* x (* 1/5040 (* x (* x x))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))
(* x x)
(*.f64 x x)
(+ 1/6 (* x (* 1/5040 (* x (* x x)))))
(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))
1/6
#s(literal 1/6 binary64)
(* x (* 1/5040 (* x (* x x))))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* 1/5040 (* x (* x x)))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))
1/5040
#s(literal 1/5040 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
(* x (+ 1 (* (* x x) (+ 1/6 (* x (/ (* (+ 1/1728000 (* (* (* x x) (* x (* x (* x x)))) 1/128024064000)) x) (+ 1/14400 (* (* (* x x) 1/5040) (- (* (* x x) 1/5040) 1/120)))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/1728000 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x #s(literal 1/128024064000 binary64)))))))) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/604800 binary64)))))))))
x
(+ 1 (* (* x x) (+ 1/6 (* x (/ (* (+ 1/1728000 (* (* (* x x) (* x (* x (* x x)))) 1/128024064000)) x) (+ 1/14400 (* (* (* x x) 1/5040) (- (* (* x x) 1/5040) 1/120))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/1728000 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x #s(literal 1/128024064000 binary64)))))))) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/604800 binary64))))))))
1
#s(literal 1 binary64)
(* (* x x) (+ 1/6 (* x (/ (* (+ 1/1728000 (* (* (* x x) (* x (* x (* x x)))) 1/128024064000)) x) (+ 1/14400 (* (* (* x x) 1/5040) (- (* (* x x) 1/5040) 1/120)))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/1728000 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x #s(literal 1/128024064000 binary64)))))))) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/604800 binary64)))))))
(* x x)
(*.f64 x x)
(+ 1/6 (* x (/ (* (+ 1/1728000 (* (* (* x x) (* x (* x (* x x)))) 1/128024064000)) x) (+ 1/14400 (* (* (* x x) 1/5040) (- (* (* x x) 1/5040) 1/120))))))
(+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/1728000 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x #s(literal 1/128024064000 binary64)))))))) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/604800 binary64))))))
1/6
#s(literal 1/6 binary64)
(* x (/ (* (+ 1/1728000 (* (* (* x x) (* x (* x (* x x)))) 1/128024064000)) x) (+ 1/14400 (* (* (* x x) 1/5040) (- (* (* x x) 1/5040) 1/120)))))
(/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/1728000 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x #s(literal 1/128024064000 binary64)))))))) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/604800 binary64)))))
(/ (* (+ 1/1728000 (* (* (* x x) (* x (* x (* x x)))) 1/128024064000)) x) (+ 1/14400 (* (* (* x x) 1/5040) (- (* (* x x) 1/5040) 1/120))))
(/.f64 (.f64 x (+.f64 #s(literal 1/1728000 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x #s(literal 1/128024064000 binary64))))))) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/604800 binary64)))))
(* (+ 1/1728000 (* (* (* x x) (* x (* x (* x x)))) 1/128024064000)) x)
(.f64 x (+.f64 #s(literal 1/1728000 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x #s(literal 1/128024064000 binary64)))))))
(+ 1/1728000 (* (* (* x x) (* x (* x (* x x)))) 1/128024064000))
(+.f64 #s(literal 1/1728000 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x #s(literal 1/128024064000 binary64))))))
1/1728000
#s(literal 1/1728000 binary64)
(* (* (* x x) (* x (* x (* x x)))) 1/128024064000)
(.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x #s(literal 1/128024064000 binary64)))))
(* (* x x) (* x (* x (* x x))))
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
(* x (* x x))
(.f64 x (.f64 x x))
1/128024064000
#s(literal 1/128024064000 binary64)
(+ 1/14400 (* (* (* x x) 1/5040) (- (* (* x x) 1/5040) 1/120)))
(+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/604800 binary64))))
1/14400
#s(literal 1/14400 binary64)
(* (* (* x x) 1/5040) (- (* (* x x) 1/5040) 1/120))
(.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/604800 binary64)))
(* (* x x) 1/5040)
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
1/5040
#s(literal 1/5040 binary64)
(- (* (* x x) 1/5040) 1/120)
(+.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))
1/120
#s(literal 1/120 binary64)

localize228.0ms (2.3%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/128024064000 binary64))) x) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))))))
✓	accuracy	99.8%	(.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
✓	accuracy	99.4%	(.f64 (.f64 x x) #s(literal 1/5040 binary64))
✓	accuracy	60.3%	(/.f64 (.f64 (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/128024064000 binary64))) x) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))
✓	accuracy	99.9%	(.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x))))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x))))))
✓	accuracy	99.5%	(.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/120 binary64))) (*.f64 x x))
✓	accuracy	99.8%	(.f64 (.f64 x x) (*.f64 x #s(literal 1/120 binary64)))
✓	accuracy	99.8%	(*.f64 x #s(literal 1/120 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (*.f64 x x))))
✓	accuracy	99.8%	(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (.f64 x x))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
✓	accuracy	99.4%	(.f64 (.f64 x x) #s(literal 1/5040 binary64))

Results

137.0ms

256×

valid

Compiler

Compiled 587 to 43 computations (92.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-mult: 43.0ms (54.5% of total)

...c/correct-round.rkt:119:19: 20.0ms (25.4% of total)

ival-add: 11.0ms (13.9% of total)

ival-div: 2.0ms (2.5% of total)

ival-sub: 1.0ms (1.3% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series14.0ms (0.1%)

Counts

24 → 288

Calls

Call 1

Inputs
#<alt (* x (+ 1 (* (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))) (* x x))))>
#<alt (+ 1 (* (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))) (* x x)))>
#<alt (* (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))) (* x x))>
#<alt (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040))))>
#<alt (* (* x x) (* x 1/6))>
#<alt (* x x)>
#<alt (* x 1/6)>
#<alt (* (* (* x x) (* x 1/120)) (* x x))>
#<alt (* (* x x) (* x 1/120))>
#<alt (* x 1/120)>
#<alt (* x (+ 1 (* (* x x) (+ 1/6 (* x (* 1/5040 (* x (* x x))))))))>
#<alt (+ 1 (* (* x x) (+ 1/6 (* x (* 1/5040 (* x (* x x)))))))>
#<alt (* (* x x) (+ 1/6 (* x (* 1/5040 (* x (* x x))))))>
#<alt (* x (+ 1 (* (* x x) (+ 1/6 (* x (/ (* (+ 1/1728000 (* (* (* x x) (* x (* x (* x x)))) 1/128024064000)) x) (+ 1/14400 (* (* (* x x) 1/5040) (- (* (* x x) 1/5040) 1/120)))))))))>
#<alt (+ 1 (* (* x x) (+ 1/6 (* x (/ (* (+ 1/1728000 (* (* (* x x) (* x (* x (* x x)))) 1/128024064000)) x) (+ 1/14400 (* (* (* x x) 1/5040) (- (* (* x x) 1/5040) 1/120))))))))>
#<alt (* (* x x) (+ 1/6 (* x (/ (* (+ 1/1728000 (* (* (* x x) (* x (* x (* x x)))) 1/128024064000)) x) (+ 1/14400 (* (* (* x x) 1/5040) (- (* (* x x) 1/5040) 1/120)))))))>
#<alt (+ 1/6 (* x (/ (* (+ 1/1728000 (* (* (* x x) (* x (* x (* x x)))) 1/128024064000)) x) (+ 1/14400 (* (* (* x x) 1/5040) (- (* (* x x) 1/5040) 1/120))))))>
#<alt (* (* x x) 1/5040)>
#<alt (* (* x x) (+ 1/120 (* (* x x) 1/5040)))>
#<alt (* 1/5040 (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (* x (* 1/5040 (* x (* x x))))>
#<alt (/ (* (+ 1/1728000 (* (* (* x x) (* x (* x (* x x)))) 1/128024064000)) x) (+ 1/14400 (* (* (* x x) 1/5040) (- (* (* x x) 1/5040) 1/120))))>
#<alt (* (* (* x x) 1/5040) (- (* (* x x) 1/5040) 1/120))>

Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))>
#<alt (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<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 (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/120 (pow x 5))>
#<alt (* 1/120 (pow x 5))>
#<alt (* 1/120 (pow x 5))>
#<alt (* 1/120 (pow x 5))>
#<alt (* 1/120 (pow x 5))>
#<alt (* 1/120 (pow x 5))>
#<alt (* 1/120 (pow x 5))>
#<alt (* 1/120 (pow x 5))>
#<alt (* 1/120 (pow x 5))>
#<alt (* 1/120 (pow x 5))>
#<alt (* 1/120 (pow x 5))>
#<alt (* 1/120 (pow x 5))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/5040 (pow x 4))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/5040 (pow x 4))))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (* 1/6 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (* 1/6 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) 1/5040)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) 1/5040)))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/5040 (pow x 4)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/5040 (pow x 4)))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (* 1/6 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (* 1/6 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (* 1/6 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (* 1/6 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/5040 (pow x 4))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/5040 (pow x 4))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/5040 (pow x 4))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))>
#<alt (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* 1/5040 (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 (pow x 3)>
#<alt (* 1/5040 (pow x 4))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* 1/120 x)>
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* -1/604800 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/25401600 (pow x 2)) 1/604800))>
#<alt (* (pow x 2) (- (* 1/25401600 (pow x 2)) 1/604800))>
#<alt (* (pow x 2) (- (* 1/25401600 (pow x 2)) 1/604800))>
#<alt (* 1/25401600 (pow x 4))>
#<alt (* (pow x 4) (- 1/25401600 (* 1/604800 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/25401600 (* 1/604800 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/25401600 (* 1/604800 (/ 1 (pow x 2)))))>
#<alt (* 1/25401600 (pow x 4))>
#<alt (* (pow x 4) (- 1/25401600 (* 1/604800 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/25401600 (* 1/604800 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/25401600 (* 1/604800 (/ 1 (pow x 2)))))>

Calls

72 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(* (* x x) (+ 1/6 (* x (* 1/5040 (* x (* x x))))))
1.0ms	x	@	inf	(* x (+ 1 (* (* x x) (+ 1/6 (* x (/ (* (+ 1/1728000 (* (* (* x x) (* x (* x (* x x)))) 1/128024064000)) x) (+ 1/14400 (* (* (* x x) 1/5040) (- (* (* x x) 1/5040) 1/120)))))))))
1.0ms	x	@	inf	(/ (* (+ 1/1728000 (* (* (* x x) (* x (* x (* x x)))) 1/128024064000)) x) (+ 1/14400 (* (* (* x x) 1/5040) (- (* (* x x) 1/5040) 1/120))))
1.0ms	x	@	0	(/ (* (+ 1/1728000 (* (* (* x x) (* x (* x (* x x)))) 1/128024064000)) x) (+ 1/14400 (* (* (* x x) 1/5040) (- (* (* x x) 1/5040) 1/120))))
0.0ms	x	@	inf	(* (* x x) (+ 1/6 (* x (/ (* (+ 1/1728000 (* (* (* x x) (* x (* x (* x x)))) 1/128024064000)) x) (+ 1/14400 (* (* (* x x) 1/5040) (- (* (* x x) 1/5040) 1/120)))))))

rewrite649.0ms (6.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3488×	`-lowering-.f32`
3488×	`-lowering-.f64`
2574×	`fma-lowering-fma.f32`
2574×	`fma-lowering-fma.f64`
2488×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	284
1	271	227
2	2545	218
0	9651	218

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 683

Calls

Call 1

Inputs
(* x (+ 1 (* (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))) (* x x))))
(+ 1 (* (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))) (* x x)))
(* (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))) (* x x))
(+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040))))
(* (* x x) (* x 1/6))
(* x x)
(* x 1/6)
(* (* (* x x) (* x 1/120)) (* x x))
(* (* x x) (* x 1/120))
(* x 1/120)
(* x (+ 1 (* (* x x) (+ 1/6 (* x (* 1/5040 (* x (* x x))))))))
(+ 1 (* (* x x) (+ 1/6 (* x (* 1/5040 (* x (* x x)))))))
(* (* x x) (+ 1/6 (* x (* 1/5040 (* x (* x x))))))
(* x (+ 1 (* (* x x) (+ 1/6 (* x (/ (* (+ 1/1728000 (* (* (* x x) (* x (* x (* x x)))) 1/128024064000)) x) (+ 1/14400 (* (* (* x x) 1/5040) (- (* (* x x) 1/5040) 1/120)))))))))
(+ 1 (* (* x x) (+ 1/6 (* x (/ (* (+ 1/1728000 (* (* (* x x) (* x (* x (* x x)))) 1/128024064000)) x) (+ 1/14400 (* (* (* x x) 1/5040) (- (* (* x x) 1/5040) 1/120))))))))
(* (* x x) (+ 1/6 (* x (/ (* (+ 1/1728000 (* (* (* x x) (* x (* x (* x x)))) 1/128024064000)) x) (+ 1/14400 (* (* (* x x) 1/5040) (- (* (* x x) 1/5040) 1/120)))))))
(+ 1/6 (* x (/ (* (+ 1/1728000 (* (* (* x x) (* x (* x (* x x)))) 1/128024064000)) x) (+ 1/14400 (* (* (* x x) 1/5040) (- (* (* x x) 1/5040) 1/120))))))
(* (* x x) 1/5040)
(* (* x x) (+ 1/120 (* (* x x) 1/5040)))
(* 1/5040 (* x (* x x)))
(* x (* x x))
(* x (* 1/5040 (* x (* x x))))
(/ (* (+ 1/1728000 (* (* (* x x) (* x (* x (* x x)))) 1/128024064000)) x) (+ 1/14400 (* (* (* x x) 1/5040) (- (* (* x x) 1/5040) 1/120))))
(* (* (* x x) 1/5040) (- (* (* x x) 1/5040) 1/120))

Outputs
(+.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))
(+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))))))))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))))))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64))))))))) (-.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))))))))))
(fma.f64 x #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))
(fma.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))))))) x)
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))
(fma.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64))))))) x)
(fma.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))))) (.f64 x (.f64 x x)) x)
(fma.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))))) x)
(fma.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))))))) x x)
(fma.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64))))))) (.f64 x x) x)
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))))))) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))))))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64))))))))))) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))))))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64))))))))) (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))))))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))))))))) (-.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64))))))) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64))))))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))))))) #s(literal 1 binary64)))))
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simplify196.0ms (2%)

Algorithm

1×	egg-herbie

Rules

2298×	`-lowering-.f32`
2298×	`-lowering-.f64`
1372×	`fma-lowering-fma.f32`
1372×	`fma-lowering-fma.f64`
1316×	`+-lowering-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	102	2345
1	339	2221
2	1001	2196
3	2963	2177
4	5360	2166
0	8543	2166

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
1/6
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(* 1/5040 (pow x 4))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/5040 (pow x 4))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/120 (pow x 5))
(* 1/120 (pow x 5))
(* 1/120 (pow x 5))
(* 1/120 (pow x 5))
(* 1/120 (pow x 5))
(* 1/120 (pow x 5))
(* 1/120 (pow x 5))
(* 1/120 (pow x 5))
(* 1/120 (pow x 5))
(* 1/120 (pow x 5))
(* 1/120 (pow x 5))
(* 1/120 (pow x 5))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 (pow x 3))
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/5040 (pow x 4))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/5040 (pow x 4))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))
(* (pow x 7) (+ 1/5040 (+ (* 1/6 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))
(* (pow x 7) (+ 1/5040 (+ (* 1/6 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) 1/5040)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) 1/5040)))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/5040 (pow x 4)))))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/5040 (pow x 4)))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/5040 (+ (* 1/6 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/5040 (+ (* 1/6 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/5040 (+ (* 1/6 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/5040 (+ (* 1/6 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/5040 (pow x 4))))
(* (pow x 2) (+ 1/6 (* 1/5040 (pow x 4))))
(* (pow x 2) (+ 1/6 (* 1/5040 (pow x 4))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/5040 (* 1/6 (/ 1 (pow x 4)))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
1/6
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(* 1/5040 (pow x 4))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/5040 (pow x 4))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))
(* 1/5040 (pow x 4))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 4))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (pow x 3))
(* 1/5040 (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)
(pow x 3)
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/5040 (pow x 4))
(* 1/120 x)
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* 1/5040 (pow x 3))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 3))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* -1/604800 (pow x 2))
(* (pow x 2) (- (* 1/25401600 (pow x 2)) 1/604800))
(* (pow x 2) (- (* 1/25401600 (pow x 2)) 1/604800))
(* (pow x 2) (- (* 1/25401600 (pow x 2)) 1/604800))
(* 1/25401600 (pow x 4))
(* (pow x 4) (- 1/25401600 (* 1/604800 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/25401600 (* 1/604800 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/25401600 (* 1/604800 (/ 1 (pow x 2)))))
(* 1/25401600 (pow x 4))
(* (pow x 4) (- 1/25401600 (* 1/604800 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/25401600 (* 1/604800 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/25401600 (* 1/604800 (/ 1 (pow x 2)))))

Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))))
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))))
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 1/5040 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) x) x)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))))
(* 1/5040 (pow x 6))
(.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
(* 1/5040 (pow x 6))
(.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))
(* 1/5040 (pow x 6))
(.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
(* 1/5040 (pow x 6))
(.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
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(+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))
(* 1/5040 (pow x 6))
(.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
(* 1/5040 (pow x 6))
(.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow x 2)))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))
(* 1/5040 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))
(* 1/5040 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))
(* 1/5040 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))
(* 1/5040 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))
(* 1/5040 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))
(* 1/5040 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))
(* 1/5040 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))
(* 1/5040 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))
(* 1/5040 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))
(* 1/5040 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))
(* 1/5040 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))
(* 1/5040 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))
(* 1/5040 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))
(* 1/5040 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))
(* 1/5040 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))
(* 1/5040 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 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))
(* 1/5040 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* 1/5040 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* 1/5040 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* 1/5040 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* 1/5040 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* 1/5040 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* 1/5040 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* 1/5040 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* 1/5040 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* 1/5040 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* 1/5040 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* 1/5040 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* 1/5040 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* 1/5040 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* -1/604800 (pow x 2))
(.f64 x (.f64 x #s(literal -1/604800 binary64)))
(* (pow x 2) (- (* 1/25401600 (pow x 2)) 1/604800))
(.f64 (.f64 x x) (+.f64 #s(literal -1/604800 binary64) (.f64 x (.f64 x #s(literal 1/25401600 binary64)))))
(* (pow x 2) (- (* 1/25401600 (pow x 2)) 1/604800))
(.f64 (.f64 x x) (+.f64 #s(literal -1/604800 binary64) (.f64 x (.f64 x #s(literal 1/25401600 binary64)))))
(* (pow x 2) (- (* 1/25401600 (pow x 2)) 1/604800))
(.f64 (.f64 x x) (+.f64 #s(literal -1/604800 binary64) (.f64 x (.f64 x #s(literal 1/25401600 binary64)))))
(* 1/25401600 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))
(* (pow x 4) (- 1/25401600 (* 1/604800 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/604800 binary64) (.f64 x (.f64 x #s(literal 1/25401600 binary64)))))
(* (pow x 4) (- 1/25401600 (* 1/604800 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/604800 binary64) (.f64 x (.f64 x #s(literal 1/25401600 binary64)))))
(* (pow x 4) (- 1/25401600 (* 1/604800 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/604800 binary64) (.f64 x (.f64 x #s(literal 1/25401600 binary64)))))
(* 1/25401600 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))
(* (pow x 4) (- 1/25401600 (* 1/604800 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/604800 binary64) (.f64 x (.f64 x #s(literal 1/25401600 binary64)))))
(* (pow x 4) (- 1/25401600 (* 1/604800 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/604800 binary64) (.f64 x (.f64 x #s(literal 1/25401600 binary64)))))
(* (pow x 4) (- 1/25401600 (* 1/604800 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/604800 binary64) (.f64 x (.f64 x #s(literal 1/25401600 binary64)))))

eval158.0ms (1.6%)

Compiler: Compiled 48677 to 3782 computations (92.2% saved)

prune152.0ms (1.5%)

Pruning

42 alts after pruning (33 fresh and 9 done)

	Pruned	Kept	Total
New	1242	23	1265
Fresh	10	10	20
Picked	1	4	5
Done	1	5	6
Total	1254	42	1296

Accuracy

100.0%

Counts

1296 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.1%	(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))) (-.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64))))))) x))))
	51.4%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/5040 binary64)))))) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/5040 binary64))))))))) x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/5040 binary64)))))))))
	47.1%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/5040 binary64)))))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/5040 binary64)))))) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/5040 binary64))))))))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/5040 binary64))))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/5040 binary64))))))) #s(literal 1 binary64)))))
	90.1%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))))))
	93.4%	(+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) x)
	93.5%	(+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))) x)
✓	90.1%	(+.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64))))))) x)
	81.7%	(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) x)
✓	47.0%	(.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/120 binary64))) (*.f64 x x))
	38.4%	(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
	47.0%	(.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)
	47.0%	(.f64 (.f64 x (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))
✓	38.4%	(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
	54.2%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)))) (.f64 x x)) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))
	52.3%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/14400 binary64))))))
	13.6%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64))))))) (.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/5040 binary64))))) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))) (*.f64 x x))))
	66.5%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (.f64 x x)) (-.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))))) (*.f64 x x))))
	93.5%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))))))) (.f64 x x))))
	46.5%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/1728000 binary64) (.f64 x (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64))))))) (-.f64 #s(literal 1/207360000 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)))))) (-.f64 #s(literal 1/14400 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x (.f64 x #s(literal 1/5040 binary64))) #s(literal 1/5040 binary64)) #s(literal -1/604800 binary64))))))) (*.f64 x x))))
	52.8%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/14400 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x (.f64 x #s(literal 1/5040 binary64))) #s(literal 1/5040 binary64)) #s(literal -1/604800 binary64)))))) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/1728000 binary64) (.f64 x (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64))))))))))) (.f64 x x))))
	52.4%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (+.f64 #s(literal 1/1728000 binary64) (.f64 x (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)))))) (.f64 (/.f64 x (+.f64 #s(literal 1/14400 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x (.f64 x #s(literal 1/5040 binary64))) #s(literal 1/5040 binary64)) #s(literal -1/604800 binary64)))))) x))) (.f64 x x))))
	52.4%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/1728000 binary64) (.f64 x (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64))))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/14400 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x (.f64 x #s(literal 1/5040 binary64))) #s(literal 1/5040 binary64)) #s(literal -1/604800 binary64)))))) x))) (*.f64 x x))))
✓	93.5%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (*.f64 x x))))
	48.4%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)))))) (*.f64 x x))))
	93.2%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (*.f64 x x))))
	52.8%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/128024064000 binary64)))) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))))))
	93.4%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/5040 binary64))))))
	66.1%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) x) (-.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))))
	48.5%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/128024064000 binary64))) x) (+.f64 #s(literal 1/14400 binary64) (.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (+.f64 #s(literal 1/1728000 binary64) (.f64 x (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64))))))) (/.f64 (.f64 x (.f64 x #s(literal 1/5040 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/14400 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x (*.f64 x #s(literal 1/5040 binary64))) #s(literal 1/5040 binary64)) #s(literal -1/604800 binary64)))))))))))))))
✓	52.4%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/128024064000 binary64))) x) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))))))))
	52.4%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/128024064000 binary64))) x) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/604800 binary64) (.f64 x (*.f64 x #s(literal 1/25401600 binary64))))))))))))
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	93.5%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))))))
	81.3%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
	47.0%	(.f64 x (.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (*.f64 x x)))
	47.2%	(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
	50.5%	(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
	50.2%	(.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
✓	47.0%	(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
✓	38.7%	(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
✓	100.0%	(sinh.f64 x)
✓	48.5%	x

Compiler

Compiled 3383 to 1085 computations (67.9% saved)

regimes64.0ms (0.6%)

Counts

67 → 1

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) x)
(+.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x)
(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 x (.f64 (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))) x))
(.f64 x (.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (*.f64 x x)))
(.f64 (.f64 x (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)
(.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/120 binary64))) (*.f64 x x))
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64)))) #s(literal 2 binary64))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
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(.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))) (*.f64 x x))))
(+.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64))))))) x)
(+.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64))))) x) x)
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))))))
(+.f64 (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/120 binary64))) (.f64 x #s(literal 1/6 binary64))))) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))))))
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(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/5040 binary64))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (*.f64 x x))))
(+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (*.f64 x x))))
(+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))) x)
(+.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (.f64 x (*.f64 x x))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))))))) (.f64 x x))))
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(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)))) (.f64 x x)) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/128024064000 binary64))) x) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/604800 binary64) (.f64 x (*.f64 x #s(literal 1/25401600 binary64))))))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/128024064000 binary64))) x) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/128024064000 binary64)))) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (+.f64 #s(literal 1/1728000 binary64) (.f64 x (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)))))) (.f64 (/.f64 x (+.f64 #s(literal 1/14400 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x (.f64 x #s(literal 1/5040 binary64))) #s(literal 1/5040 binary64)) #s(literal -1/604800 binary64)))))) x))) (.f64 x x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/1728000 binary64) (.f64 x (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64))))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/14400 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x (.f64 x #s(literal 1/5040 binary64))) #s(literal 1/5040 binary64)) #s(literal -1/604800 binary64)))))) x))) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))) (.f64 x x)) (-.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64))))))) x))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/14400 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x (.f64 x #s(literal 1/5040 binary64))) #s(literal 1/5040 binary64)) #s(literal -1/604800 binary64)))))) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/1728000 binary64) (.f64 x (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64))))))))))) (.f64 x x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/5040 binary64)))))) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/5040 binary64))))))))) x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/5040 binary64)))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))))) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))))
(.f64 x (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1/46656 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal 1/6 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/1728000 binary64) (.f64 x (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64))))))) (-.f64 #s(literal 1/207360000 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)))))) (-.f64 #s(literal 1/14400 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x (.f64 x #s(literal 1/5040 binary64))) #s(literal 1/5040 binary64)) #s(literal -1/604800 binary64))))))) (*.f64 x x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)))))) (*.f64 x x))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))) (-.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64))))))) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/128024064000 binary64))) x) (+.f64 #s(literal 1/14400 binary64) (.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (+.f64 #s(literal 1/1728000 binary64) (.f64 x (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64))))))) (/.f64 (.f64 x (.f64 x #s(literal 1/5040 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/14400 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x (*.f64 x #s(literal 1/5040 binary64))) #s(literal 1/5040 binary64)) #s(literal -1/604800 binary64)))))))))))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/5040 binary64)))))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/5040 binary64)))))) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/5040 binary64))))))))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/5040 binary64))))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/5040 binary64))))))) #s(literal 1 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/216 binary64)) (.f64 (.f64 x x) #s(literal 1/216 binary64))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/1728000 binary64)))))) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/1728000 binary64)))))))) (-.f64 (.f64 (.f64 x x) #s(literal 1/216 binary64)) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/1728000 binary64)))))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/720 binary64)))))))
(.f64 x (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64))))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64))))))) (.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/5040 binary64))))) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))) (*.f64 x x))))
(sinh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Outputs
(sinh.f64 x)

Calls

3 calls:

19.0ms	x
16.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
15.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes29.0ms (0.3%)

Counts

65 → 2

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) x)
(+.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x)
(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 x (.f64 (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))) x))
(.f64 x (.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (*.f64 x x)))
(.f64 (.f64 x (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)
(.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/120 binary64))) (*.f64 x x))
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64)))) #s(literal 2 binary64))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))))
(.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))) (*.f64 x x))))
(+.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64))))))) x)
(+.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64))))) x) x)
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))))))
(+.f64 (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/120 binary64))) (.f64 x #s(literal 1/6 binary64))))) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/5040 binary64))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (*.f64 x x))))
(+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (*.f64 x x))))
(+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))) x)
(+.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (.f64 x (*.f64 x x))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))))))) (.f64 x x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) x) (-.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)))) (-.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (.f64 x x)) (-.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))))) (*.f64 x x))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/14400 binary64))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/128024064000 binary64))) x) (+.f64 #s(literal 1/14400 binary64) (.f64 x (*.f64 x #s(literal -1/604800 binary64))))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/720 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)))) (.f64 x x)) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/128024064000 binary64))) x) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/604800 binary64) (.f64 x (*.f64 x #s(literal 1/25401600 binary64))))))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/128024064000 binary64))) x) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/128024064000 binary64)))) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (+.f64 #s(literal 1/1728000 binary64) (.f64 x (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)))))) (.f64 (/.f64 x (+.f64 #s(literal 1/14400 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x (.f64 x #s(literal 1/5040 binary64))) #s(literal 1/5040 binary64)) #s(literal -1/604800 binary64)))))) x))) (.f64 x x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/1728000 binary64) (.f64 x (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64))))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/14400 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x (.f64 x #s(literal 1/5040 binary64))) #s(literal 1/5040 binary64)) #s(literal -1/604800 binary64)))))) x))) (*.f64 x x))))
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(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/5040 binary64)))))) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/5040 binary64))))))))) x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/5040 binary64)))))))))
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Outputs

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

(*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
96.4%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes22.0ms (0.2%)

Counts

55 → 2

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) x)
(+.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x)
(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 x (.f64 (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))) x))
(.f64 x (.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (*.f64 x x)))
(.f64 (.f64 x (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)
(.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/120 binary64))) (*.f64 x x))
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64)))) #s(literal 2 binary64))
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(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/128024064000 binary64))) x) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/128024064000 binary64)))) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (+.f64 #s(literal 1/1728000 binary64) (.f64 x (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)))))) (.f64 (/.f64 x (+.f64 #s(literal 1/14400 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x (.f64 x #s(literal 1/5040 binary64))) #s(literal 1/5040 binary64)) #s(literal -1/604800 binary64)))))) x))) (.f64 x x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/1728000 binary64) (.f64 x (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64))))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/14400 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x (.f64 x #s(literal 1/5040 binary64))) #s(literal 1/5040 binary64)) #s(literal -1/604800 binary64)))))) x))) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))) (.f64 x x)) (-.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64))))))) x))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/14400 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x (.f64 x #s(literal 1/5040 binary64))) #s(literal 1/5040 binary64)) #s(literal -1/604800 binary64)))))) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/1728000 binary64) (.f64 x (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64))))))))))) (.f64 x x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/5040 binary64)))))) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/5040 binary64))))))))) x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/5040 binary64)))))))))

Outputs

(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))

(*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
96.3%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes22.0ms (0.2%)

Counts

54 → 2

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) x)
(+.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x)
(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 x (.f64 (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))) x))
(.f64 x (.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (*.f64 x x)))
(.f64 (.f64 x (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)
(.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/120 binary64))) (*.f64 x x))
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64)))) #s(literal 2 binary64))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))))
(.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))) (*.f64 x x))))
(+.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64))))))) x)
(+.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64))))) x) x)
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))))))
(+.f64 (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/120 binary64))) (.f64 x #s(literal 1/6 binary64))))) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/5040 binary64))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (*.f64 x x))))
(+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (*.f64 x x))))
(+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))) x)
(+.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (.f64 x (*.f64 x x))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))))))) (.f64 x x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) x) (-.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)))) (-.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (.f64 x x)) (-.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))))) (*.f64 x x))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/14400 binary64))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/128024064000 binary64))) x) (+.f64 #s(literal 1/14400 binary64) (.f64 x (*.f64 x #s(literal -1/604800 binary64))))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/720 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)))) (.f64 x x)) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/128024064000 binary64))) x) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/604800 binary64) (.f64 x (*.f64 x #s(literal 1/25401600 binary64))))))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/128024064000 binary64))) x) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/128024064000 binary64)))) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (+.f64 #s(literal 1/1728000 binary64) (.f64 x (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)))))) (.f64 (/.f64 x (+.f64 #s(literal 1/14400 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x (.f64 x #s(literal 1/5040 binary64))) #s(literal 1/5040 binary64)) #s(literal -1/604800 binary64)))))) x))) (.f64 x x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/1728000 binary64) (.f64 x (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64))))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/14400 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x (.f64 x #s(literal 1/5040 binary64))) #s(literal 1/5040 binary64)) #s(literal -1/604800 binary64)))))) x))) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))) (.f64 x x)) (-.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64))))))) x))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/14400 binary64) (.f64 x (.f64 x (+.f64 (.f64 (.f64 x (.f64 x #s(literal 1/5040 binary64))) #s(literal 1/5040 binary64)) #s(literal -1/604800 binary64)))))) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/1728000 binary64) (.f64 x (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64))))))))))) (.f64 x x))))

Outputs

(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)))) (*.f64 x x)) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))

(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
95.2%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes15.0ms (0.2%)

Counts

45 → 1

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) x)
(+.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x)
(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 x (.f64 (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))) x))
(.f64 x (.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (*.f64 x x)))
(.f64 (.f64 x (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)
(.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/120 binary64))) (*.f64 x x))
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64)))) #s(literal 2 binary64))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))))
(.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))) (*.f64 x x))))
(+.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64))))))) x)
(+.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64))))) x) x)
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))))))
(+.f64 (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/120 binary64))) (.f64 x #s(literal 1/6 binary64))))) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/5040 binary64))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (*.f64 x x))))
(+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (*.f64 x x))))
(+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))) x)
(+.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (.f64 x (*.f64 x x))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))))))) (.f64 x x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) x) (-.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)))) (-.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (.f64 x x)) (-.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))))) (*.f64 x x))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/14400 binary64))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/128024064000 binary64))) x) (+.f64 #s(literal 1/14400 binary64) (.f64 x (*.f64 x #s(literal -1/604800 binary64))))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/720 binary64)))))))

Outputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))))

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
93.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes19.0ms (0.2%)

Counts

32 → 1

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) x)
(+.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x)
(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 x (.f64 (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))) x))
(.f64 x (.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (*.f64 x x)))
(.f64 (.f64 x (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)
(.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/120 binary64))) (*.f64 x x))
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64)))) #s(literal 2 binary64))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))))
(.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))) (*.f64 x x))))
(+.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64))))))) x)
(+.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64))))) x) x)
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))))))
(+.f64 (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/120 binary64))) (.f64 x #s(literal 1/6 binary64))))) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/5040 binary64))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (*.f64 x x))))
(+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) x)

Outputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x))))))))

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
93.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0.1%)

Counts

28 → 2

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) x)
(+.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x)
(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 x (.f64 (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))) x))
(.f64 x (.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (*.f64 x x)))
(.f64 (.f64 x (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)
(.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/120 binary64))) (*.f64 x x))
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64)))) #s(literal 2 binary64))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))))
(.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))) (*.f64 x x))))
(+.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64))))))) x)
(+.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64))))) x) x)
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))))))
(+.f64 (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/120 binary64))) (.f64 x #s(literal 1/6 binary64))))) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))))))

Outputs

(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))))))

(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
93.4%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0.1%)

Counts

27 → 2

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) x)
(+.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x)
(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 x (.f64 (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))) x))
(.f64 x (.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (*.f64 x x)))
(.f64 (.f64 x (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)
(.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/120 binary64))) (*.f64 x x))
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64)))) #s(literal 2 binary64))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))))
(.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))) (*.f64 x x))))
(+.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64))))))) x)
(+.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64))))) x) x)
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))))))
(+.f64 (.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/120 binary64))) (.f64 x #s(literal 1/6 binary64))))) x)

Outputs

(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))

(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
93.4%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes38.0ms (0.4%)

Counts

24 → 2

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) x)
(+.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x)
(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 x (.f64 (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))) x))
(.f64 x (.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (*.f64 x x)))
(.f64 (.f64 x (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)
(.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/120 binary64))) (*.f64 x x))
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64)))) #s(literal 2 binary64))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))))
(.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))) (*.f64 x x))))
(+.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64))))))) x)
(+.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64))))) x) x)

Outputs

(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))

(*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
93.4%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts

20 → 2

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) x)
(+.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x)
(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 x (.f64 (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))) x))
(.f64 x (.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (*.f64 x x)))
(.f64 (.f64 x (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)
(.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/120 binary64))) (*.f64 x x))
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64)))) #s(literal 2 binary64))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))))
(.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))

Outputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
93.4%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts

19 → 1

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) x)
(+.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x)
(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 x (.f64 (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))) x))
(.f64 x (.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (*.f64 x x)))
(.f64 (.f64 x (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)
(.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/120 binary64))) (*.f64 x x))
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64)))) #s(literal 2 binary64))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))))

Outputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
89.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts

18 → 2

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) x)
(+.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x)
(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 x (.f64 (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))) x))
(.f64 x (.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (*.f64 x x)))
(.f64 (.f64 x (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)
(.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/120 binary64))) (*.f64 x x))
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64)))) #s(literal 2 binary64))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))

Outputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
90.1%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes19.0ms (0.2%)

Counts

16 → 2

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) x)
(+.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x)
(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 x (.f64 (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))) x))
(.f64 x (.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (*.f64 x x)))
(.f64 (.f64 x (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)
(.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/120 binary64))) (*.f64 x x))
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64)))) #s(literal 2 binary64))

Outputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (*.f64 x x)))))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
90.1%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

9 → 1

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) x)
(+.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) x)

Outputs
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) x)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
81.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

7 → 1

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))

Outputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
81.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

5 → 2

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)

Outputs
x
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
81.5%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
48.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch6.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
4.0ms	2.2423822405931774e+40	7.669849070423288e+45

Results

3.0ms

48×

valid

Compiler

Compiled 247 to 94 computations (61.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-exp: 1.0ms (71% of total)

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

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

bsearch5.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
4.0ms	2.2423822405931774e+40	7.669849070423288e+45

Results

2.0ms

48×

valid

Compiler

Compiled 229 to 100 computations (56.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-exp: 1.0ms (74.6% of total)

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

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

bsearch4.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
3.0ms	4.1374804936212166e+57	1.6073799031920562e+65

Results

2.0ms

32×

valid

Compiler

Compiled 121 to 70 computations (42.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

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

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.9151757556960365	264.8127655585612

Results

7.0ms

112×

valid

Compiler

Compiled 279 to 178 computations (36.2% saved)

Precisions

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

ival-exp: 2.0ms (48.9% of total)

ival-sub: 1.0ms (24.4% of total)

ival-div: 1.0ms (24.4% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

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

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.9151757556960365	264.8127655585612

Results

7.0ms

112×

valid

Compiler

Compiled 265 to 171 computations (35.5% saved)

Precisions

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

ival-exp: 2.0ms (48.8% of total)

ival-sub: 1.0ms (24.4% of total)

ival-div: 1.0ms (24.4% of total)

ival-neg: 1.0ms (24.4% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.9151757556960365	264.8127655585612

Results

7.0ms

112×

valid

Compiler

Compiled 251 to 164 computations (34.7% saved)

Precisions

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

ival-exp: 2.0ms (49.7% of total)

ival-sub: 1.0ms (24.9% of total)

ival-div: 1.0ms (24.9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

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

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.9151757556960365	264.8127655585612

Results

7.0ms

112×

valid

Compiler

Compiled 209 to 136 computations (34.9% saved)

Precisions

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

ival-exp: 2.0ms (49.3% of total)

ival-sub: 1.0ms (24.7% of total)

ival-div: 1.0ms (24.7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

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

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.9151757556960365	264.8127655585612

Results

7.0ms

112×

valid

Compiler

Compiled 195 to 136 computations (30.3% saved)

Precisions

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

ival-exp: 2.0ms (49.4% of total)

ival-sub: 1.0ms (24.7% of total)

ival-div: 1.0ms (24.7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

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

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.9151757556960365	264.8127655585612

Results

7.0ms

112×

valid

Compiler

Compiled 181 to 122 computations (32.6% saved)

Precisions

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

ival-exp: 2.0ms (49% of total)

ival-sub: 1.0ms (24.5% of total)

ival-div: 1.0ms (24.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

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

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.9151757556960365	264.8127655585612

Results

7.0ms

112×

valid

Compiler

Compiled 97 to 66 computations (32% saved)

Precisions

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

ival-exp: 2.0ms (49.6% of total)

ival-sub: 1.0ms (24.8% of total)

ival-div: 1.0ms (24.8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

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

simplify27.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

152×	`*-commutative_binary64`
96×	`+-commutative_binary64`
62×	`sub-neg_binary64`
62×	`distribute-lft-neg-in_binary64`
62×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	476
1	214	476
2	272	476
3	326	476
4	365	476
5	395	476
6	411	476
7	427	476
8	433	476
9	435	476

Stop Event

1×

saturated

Calls

Call 1

Inputs
(sinh.f64 x)
(if (<=.f64 x #s(literal 499999999999999964878644512267775609965379584 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))))) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
(if (<=.f64 x #s(literal 499999999999999964878644512267775609965379584 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/5040 binary64)))))) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/5040 binary64))))))))) x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/5040 binary64))))))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
(if (<=.f64 x #s(literal 39999999999999997975485411882960754678545800440536402923356160 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)))) (.f64 x x)) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/5040 binary64))))))))) (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x x))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x))))))))
(if (<=.f64 x #s(literal 3715469692580659/562949953421312 binary64)) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))))) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
(if (<=.f64 x #s(literal 3715469692580659/562949953421312 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))))
(if (<=.f64 x #s(literal 15/2 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))))
(if (<=.f64 x #s(literal 11/2 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))))
(if (<=.f64 x #s(literal 3715469692580659/1125899906842624 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))))))
(if (<=.f64 x #s(literal 5 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x x))))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(if (<=.f64 x #s(literal 5404319552844595/2251799813685248 binary64)) x (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))))
x

Outputs
(sinh.f64 x)
(if (<=.f64 x #s(literal 499999999999999964878644512267775609965379584 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))))) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
(if (<=.f64 x #s(literal 499999999999999964878644512267775609965379584 binary64)) (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
(if (<=.f64 x #s(literal 499999999999999964878644512267775609965379584 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/5040 binary64)))))) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/5040 binary64))))))))) x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/5040 binary64))))))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
(if (<=.f64 x #s(literal 499999999999999964878644512267775609965379584 binary64)) (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/5040 binary64)))))) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/5040 binary64)))))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/5040 binary64))))))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
(if (<=.f64 x #s(literal 39999999999999997975485411882960754678545800440536402923356160 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)))) (.f64 x x)) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/5040 binary64))))))))) (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x x))))))
(if (<=.f64 x #s(literal 39999999999999997975485411882960754678545800440536402923356160 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/5040 binary64))))))))) (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x x))))))
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(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (*.f64 x x))))))))
(if (<=.f64 x #s(literal 3715469692580659/562949953421312 binary64)) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))))) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
(if (<=.f64 x #s(literal 3715469692580659/562949953421312 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))))
(if (<=.f64 x #s(literal 15/2 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))))
(if (<=.f64 x #s(literal 11/2 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x))))))
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(if (<=.f64 x #s(literal 5 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))) (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x x))))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) x)
(+.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(if (<=.f64 x #s(literal 5404319552844595/2251799813685248 binary64)) x (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))))
x

soundness2.8s (28.5%)

Rules

4506×	`-lowering-.f32`
4506×	`-lowering-.f64`
4500×	`-lowering-.f32`
4500×	`-lowering-.f64`
3644×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	102	2345
1	339	2221
2	1001	2196
3	2963	2177
4	5360	2166
0	8543	2166
0	74	321
1	222	300
2	669	294
3	1945	294
4	2962	294
5	5505	294
6	6302	294
0	8207	294
0	43	294
1	258	244
2	2235	239
0	8358	239
0	42	284
1	271	227
2	2545	218
0	9651	218
0	69	1254
1	228	1130
2	660	1113
3	2895	1111
4	5623	1111
0	8298	1111
0	7	17
1	42	13
2	299	13
0	3266	13
0	114	2285
1	373	2166
2	1087	2146
3	3207	2140
4	6283	2140
0	8046	2140
0	22	114
1	132	103
2	1013	99
0	8606	99

Stop Event

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

Compiler

Compiled 1268 to 629 computations (50.4% saved)

preprocess107.0ms (1.1%)

Remove: (negabs x)
Compiler: Compiled 984 to 254 computations (74.2% saved)

Iter	Nodes	Cost
0	116	476
1	214	476
2	272	476
3	326	476
4	365	476
5	395	476
6	411	476
7	427	476
8	433	476
9	435	476

Iter	Nodes	Cost
0	116	476
1	214	476
2	272	476
3	326	476
4	365	476
5	395	476
6	411	476
7	427	476
8	433	476
9	435	476

analyze0.0ms (0%)

sample1.5s (15.5%)

preprocess89.0ms (0.9%)

explain131.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify40.0ms (0.4%)

localize51.0ms (0.5%)

series3.0ms (0%)

rewrite172.0ms (1.7%)

simplify210.0ms (2.1%)

eval39.0ms (0.4%)

prune46.0ms (0.5%)

simplify221.0ms (2.2%)

localize154.0ms (1.5%)

series14.0ms (0.1%)

rewrite345.0ms (3.4%)

simplify262.0ms (2.6%)

eval306.0ms (3.1%)

prune67.0ms (0.7%)

simplify363.0ms (3.6%)

localize224.0ms (2.2%)

series23.0ms (0.2%)

rewrite320.0ms (3.2%)

simplify214.0ms (2.1%)

eval110.0ms (1.1%)

prune88.0ms (0.9%)

simplify195.0ms (1.9%)

localize228.0ms (2.3%)

series14.0ms (0.1%)

rewrite649.0ms (6.5%)

simplify196.0ms (2%)

eval158.0ms (1.6%)

prune152.0ms (1.5%)

regimes64.0ms (0.6%)

regimes29.0ms (0.3%)

regimes22.0ms (0.2%)

regimes22.0ms (0.2%)

regimes15.0ms (0.2%)

regimes19.0ms (0.2%)

regimes10.0ms (0.1%)

regimes10.0ms (0.1%)

regimes38.0ms (0.4%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes19.0ms (0.2%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes1.0ms (0%)

bsearch6.0ms (0.1%)

bsearch5.0ms (0.1%)

bsearch4.0ms (0%)

bsearch16.0ms (0.2%)

bsearch20.0ms (0.2%)

bsearch12.0ms (0.1%)

bsearch14.0ms (0.1%)

bsearch12.0ms (0.1%)

bsearch13.0ms (0.1%)

bsearch12.0ms (0.1%)

simplify27.0ms (0.3%)

soundness2.8s (28.5%)

preprocess107.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	116	476
1	214	476
2	272	476
3	326	476
4	365	476
5	395	476
6	411	476
7	427	476
8	433	476
9	435	476