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)

sample1.7s (18%)

Results

1.2s	3965×	1	valid
285.0ms	4291×	0	valid

Precisions

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

ival-exp: 677.0ms (61.2% of total)

ival-div: 141.0ms (12.8% of total)

ival-neg: 121.0ms (10.9% of total)

ival-sub: 101.0ms (9.1% of total)

backward-pass: 51.0ms (4.6% of total)

const: 14.0ms (1.3% of total)

Bogosity

preprocess71.0ms (0.7%)

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)

explain126.0ms (1.3%)

FPErrors

Click to see full error table

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

Results

73.0ms	256×	1	valid
21.0ms	256×	0	valid

Compiler

Compiled 59 to 23 computations (61% saved)

Precisions

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

ival-exp: 41.0ms (63.9% of total)

ival-div: 9.0ms (14% of total)

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

backward-pass: 5.0ms (7.8% of total)

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

const: 1.0ms (1.6% 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
▶	53.2%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify47.0ms (0.5%)

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)

localize55.0ms (0.6%)

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	53.2%	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

33.0ms	128×	1	valid
11.0ms	128×	0	valid

Compiler

Compiled 25 to 8 computations (68% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-exp: 19.0ms (66.9% of total)

ival-div: 3.0ms (10.6% of total)

ival-neg: 2.0ms (7% of total)

ival-sub: 2.0ms (7% of total)

backward-pass: 2.0ms (7% 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	@	inf	(/ (- (exp x) (exp (neg x))) 2)
0.0ms	x	@	0	(/ (- (exp x) (exp (neg x))) 2)
0.0ms	x	@	inf	(neg x)
0.0ms	x	@	0	(exp x)

rewrite177.0ms (1.8%)

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	301	13
0	3272	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 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))))
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))))
(+.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 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) (/.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 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) #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 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 4 binary64)) (/.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 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 4 binary64)) (/.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 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))))
(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 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 4 binary64)) (/.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 (+.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)))) #s(literal 1 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 (/.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 4 binary64)) (/.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) #s(literal 4 binary64))) #s(literal 1/4 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 (exp.f64 (+.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x))) (exp.f64 (+.f64 (.f64 x #s(literal -2 binary64)) (.f64 x #s(literal -2 binary64))))) (.f64 (.f64 #s(literal 4 binary64) (cosh.f64 x)) (+.f64 (exp.f64 (.f64 #s(literal 2 binary64) x)) (exp.f64 (.f64 x #s(literal -2 binary64))))))
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(.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))

simplify187.0ms (1.9%)

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	288
2	670	285
3	1946	285
4	2964	285
5	5512	285
6	6306	285
0	8211	285

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 x (*.f64 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 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 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)

eval35.0ms (0.4%)

Compiler: Compiled 5672 to 874 computations (84.6% saved)

prune37.0ms (0.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	313	7	320
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	314	7	321

Accuracy

100.0%

Counts

321 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.3%	(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/60 binary64))))))) #s(literal 2 binary64))
	99.5%	(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1/2 binary64)))
	91.6%	(.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))))))))
▶	89.3%	(.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)))))))
▶	82.6%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
▶	100.0%	(sinh.f64 x)
▶	52.6%	x

Compiler

Compiled 170 to 106 computations (37.6% saved)

simplify137.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/60 binary64)))))
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/60 binary64))))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/60 binary64)))))))
✓	cost-diff	128	(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/60 binary64))))))) #s(literal 2 binary64))
✓	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 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

2760×	`-lowering-.f32`
2760×	`-lowering-.f64`
1504×	`fma-define`
1164×	`fma-lowering-fma.f32`
1164×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	150
1	86	133
2	234	130
3	640	130
4	1076	130
5	1508	130
6	2347	130
7	5205	130
0	8203	130

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 (+ 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
(/ (* x (+ 2 (* (* x x) (+ 1/3 (* x (* x 1/60)))))) 2)
(* x (+ 2 (* (* x x) (+ 1/3 (* x (* x 1/60))))))
x
(+ 2 (* (* x x) (+ 1/3 (* x (* x 1/60)))))
2
(* (* x x) (+ 1/3 (* x (* x 1/60))))
(* x x)
(+ 1/3 (* x (* x 1/60)))
1/3
(* x (* x 1/60))
(* x 1/60)
1/60

Outputs
(sinh x)
(sinh.f64 x)
x
x
(* x (+ 1 (* x (* x 1/6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
x
(+ 1 (* x (* x 1/6)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))
1
#s(literal 1 binary64)
(* x (* x 1/6))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
1/6
#s(literal 1/6 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 (*.f64 x 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 (.f64 x 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 (.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 x)
(*.f64 x x)
1/120
#s(literal 1/120 binary64)
(/ (* x (+ 2 (* (* x x) (+ 1/3 (* x (* x 1/60)))))) 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 (+ 2 (* (* x x) (+ 1/3 (* x (* x 1/60))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/60 binary64))))))
x
(+ 2 (* (* x x) (+ 1/3 (* x (* x 1/60)))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))))
2
#s(literal 2 binary64)
(* (* x x) (+ 1/3 (* x (* x 1/60))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64))))
(* x x)
(*.f64 x x)
(+ 1/3 (* x (* x 1/60)))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))
1/3
#s(literal 1/3 binary64)
(* x (* x 1/60))
(.f64 (.f64 x x) #s(literal 1/60 binary64))
(* x 1/60)
(*.f64 x #s(literal 1/60 binary64))
1/60
#s(literal 1/60 binary64)

localize115.0ms (1.2%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/60 binary64)))))))
✓	accuracy	99.9%	(*.f64 x #s(literal 1/60 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/60 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/60 binary64)))))
✓	accuracy	99.9%	(.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	99.9%	(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 1/120 binary64))
✓	accuracy	99.6%	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 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	99.4%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	100.0%	(sinh.f64 x)

Results

81.0ms

256×

valid

Compiler

Compiled 178 to 27 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 22.0ms (41.5% of total)

...c/correct-round.rkt:119:19: 20.0ms (37.7% of total)

ival-add: 6.0ms (11.3% of total)

ival-div: 2.0ms (3.8% of total)

ival-sinh: 2.0ms (3.8% of total)

const: 1.0ms (1.9% of total)

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

series12.0ms (0.1%)

Counts

16 → 192

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 (+ 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 (+ 2 (* (* x x) (+ 1/3 (* x (* x 1/60)))))) 2)>
#<alt (* x (+ 2 (* (* x x) (+ 1/3 (* x (* x 1/60))))))>
#<alt (+ 2 (* (* x x) (+ 1/3 (* x (* x 1/60)))))>
#<alt (* (* x x) (+ 1/3 (* x (* x 1/60))))>
#<alt (* (* x x) 1/120)>
#<alt (* x (* x 1/60))>
#<alt (* x 1/60)>

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 (* (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 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 (* 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 (* 1/60 (pow x 2))))))>
#<alt (* 1/60 (pow x 5))>
#<alt (* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* 1/60 (pow x 5))>
#<alt (* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))>
#<alt 2>
#<alt (+ 2 (* 1/3 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))>
#<alt (* 1/60 (pow x 4))>
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* 1/60 (pow x 4))>
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))>
#<alt (* 1/60 (pow x 4))>
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/60 (pow x 4))>
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 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 (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 x)>
#<alt (* 1/60 x)>
#<alt (* 1/60 x)>
#<alt (* 1/60 x)>
#<alt (* 1/60 x)>
#<alt (* 1/60 x)>
#<alt (* 1/60 x)>
#<alt (* 1/60 x)>
#<alt (* 1/60 x)>
#<alt (* 1/60 x)>
#<alt (* 1/60 x)>
#<alt (* 1/60 x)>

Calls

48 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(* x (+ 1 (* x (* x (+ 1/6 (* (* x x) 1/120))))))
1.0ms	x	@	-inf	(sinh x)
1.0ms	x	@	inf	(sinh x)
0.0ms	x	@	inf	(* x (+ 1 (* x (* x 1/6))))
0.0ms	x	@	inf	(* x (+ 1 (* x (* x (+ 1/6 (* (* x x) 1/120))))))

rewrite321.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3588×	`-lowering-.f32`
3588×	`-lowering-.f64`
3262×	`/-lowering-/.f32`
3262×	`/-lowering-/.f64`
1926×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	123
1	161	108
2	1318	106
0	8260	106

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 457

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 (+ 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 (+ 2 (* (* x x) (+ 1/3 (* x (* x 1/60)))))) 2)
(* x (+ 2 (* (* x x) (+ 1/3 (* x (* x 1/60))))))
(+ 2 (* (* x x) (+ 1/3 (* x (* x 1/60)))))
(* (* x x) (+ 1/3 (* x (* x 1/60))))
(* (* x x) 1/120)
(* x (* x 1/60))
(* x 1/60)

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)))
(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 0 binary64) (*.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 0 binary64) (*.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))))))
(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 0 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1/2 binary64))
(+.f64 x (.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(+.f64 (.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x))) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x))))) (/.f64 (.f64 (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (-.f64 x (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x))))))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(fma.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)) x)
(fma.f64 #s(literal 1 binary64) x (.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x x) x)
(fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) 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 #s(literal 1/6 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (.f64 x (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)))))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x))))))))
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(.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/3600 binary64))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/60 binary64)))))
(.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 (.f64 x #s(literal 1/60 binary64)))
(.f64 (.f64 x x) #s(literal 1/60 binary64))
(.f64 #s(literal 1/60 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/60 binary64)) x)
(*.f64 x #s(literal 1/60 binary64))
(*.f64 #s(literal 1/60 binary64) x)

simplify228.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

4320×	`-lowering-.f32`
4320×	`-lowering-.f64`
2104×	`+-lowering-+.f64`
2104×	`+-lowering-+.f32`
1510×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	1512
1	298	1260
2	862	1204
3	3740	1198
4	7115	1198
0	8001	1198

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

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 (* (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)))))
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)))
(* 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 (* 1/60 (pow x 2))))))
(* 1/60 (pow x 5))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/60 (pow x 5))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))
(* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))
(* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 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))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 x)
(* 1/60 x)
(* 1/60 x)
(* 1/60 x)
(* 1/60 x)
(* 1/60 x)
(* 1/60 x)
(* 1/60 x)
(* 1/60 x)
(* 1/60 x)
(* 1/60 x)
(* 1/60 x)

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 (.f64 x 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 #s(literal 1/6 binary64) (*.f64 x 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 (* 1/6 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* 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 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* 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 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.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 (* 1/6 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(+ 1 (* 1/6 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 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 #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 (* 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 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(* (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 #s(literal 1/120 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (/.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 #s(literal 1/120 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* 1/120 (pow x 5))
(.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(* (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 #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 (* 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)))))
(* 1/120 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 x 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 (.f64 x 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 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))))
(* 1/120 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 x 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 (.f64 x 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 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))))
(* 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 (* 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 (* 1/120 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))
(* 1/120 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 x 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 (.f64 x 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 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))
(* 1/120 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 x 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 (.f64 x 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 (.f64 x 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 x (.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 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 x (.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 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))))
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 (* 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 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(* (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 #s(literal 1/120 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (/.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 #s(literal 1/120 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* 1/120 (pow x 5))
(.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(* (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))))
(* 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 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/60 binary64))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/60 binary64))))))
(* 1/60 (pow x 5))
(.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/60 binary64)))))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* 1/60 (pow x 5))
(.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/60 binary64)))))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1/60 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1/60 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (*.f64 x x))))
2
#s(literal 2 binary64)
(+ 2 (* 1/3 (pow x 2)))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))))
(* 1/60 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/60 binary64))))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))))
(* 1/60 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/60 binary64))))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))))
(* 1/3 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64))))
(* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64))))
(* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64))))
(* 1/60 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/60 binary64))))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64))))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64))))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64))))
(* 1/60 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/60 binary64))))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64))))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64))))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 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))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/60 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/60 binary64))
(* 1/60 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/60 binary64))
(* 1/60 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/60 binary64))
(* 1/60 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/60 binary64))
(* 1/60 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/60 binary64))
(* 1/60 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/60 binary64))
(* 1/60 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/60 binary64))
(* 1/60 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/60 binary64))
(* 1/60 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/60 binary64))
(* 1/60 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/60 binary64))
(* 1/60 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/60 binary64))
(* 1/60 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/60 binary64))
(* 1/60 x)
(*.f64 x #s(literal 1/60 binary64))
(* 1/60 x)
(*.f64 x #s(literal 1/60 binary64))
(* 1/60 x)
(*.f64 x #s(literal 1/60 binary64))
(* 1/60 x)
(*.f64 x #s(literal 1/60 binary64))
(* 1/60 x)
(*.f64 x #s(literal 1/60 binary64))
(* 1/60 x)
(*.f64 x #s(literal 1/60 binary64))
(* 1/60 x)
(*.f64 x #s(literal 1/60 binary64))
(* 1/60 x)
(*.f64 x #s(literal 1/60 binary64))
(* 1/60 x)
(*.f64 x #s(literal 1/60 binary64))
(* 1/60 x)
(*.f64 x #s(literal 1/60 binary64))
(* 1/60 x)
(*.f64 x #s(literal 1/60 binary64))
(* 1/60 x)
(*.f64 x #s(literal 1/60 binary64))

eval73.0ms (0.8%)

Compiler: Compiled 20147 to 1741 computations (91.4% saved)

prune103.0ms (1.1%)

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	633	16	649
Fresh	0	2	2
Picked	2	3	5
Done	0	0	0
Total	635	21	656

Accuracy

100.0%

Counts

656 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.1%	(/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))) (.f64 x x)) (-.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x))
	58.5%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))) 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))))))
	54.1%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) #s(literal -1 binary64)))))
▶	89.3%	(/.f64 x (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))))))
	89.1%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))))))
	89.3%	(+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)
▶	99.5%	(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1/2 binary64)))
	40.5%	(.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))))
	50.6%	(.f64 x (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1 binary64)))))))
▶	57.8%	(.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 (.f64 x x) #s(literal 1/120 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))
	91.6%	(.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))))))))
	91.6%	(.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 x (*.f64 x #s(literal 1/5040 binary64)))))))))
	89.3%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))))
▶	89.3%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x #s(literal 1/120 binary64)) x))))))
✓	82.6%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
	42.3%	(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
	42.2%	(.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
	35.7%	(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
▶	35.7%	(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
✓	100.0%	(sinh.f64 x)
✓	52.6%	x

Compiler

Compiled 955 to 432 computations (54.8% saved)

simplify222.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (+.f64 (.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
✓	cost-diff	128	(/.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 (.f64 x x) #s(literal 1/120 binary64)) (+.f64 (.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
✓	cost-diff	128	(+.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 (.f64 x x) #s(literal 1/120 binary64)) (+.f64 (.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
✓	cost-diff	128	(.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 (.f64 x x) #s(literal 1/120 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64))))))
✓	cost-diff	128	(/.f64 x (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x #s(literal 1/120 binary64)) x)))
✓	cost-diff	0	(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x #s(literal 1/120 binary64)) x))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x #s(literal 1/120 binary64)) x)))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x #s(literal 1/120 binary64)) x))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
✓	cost-diff	0	(sinh.f64 x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sinh.f64 x))
✓	cost-diff	0	(pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1/2 binary64))
✓	cost-diff	19712	(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1/2 binary64)))

Rules

3330×	`-lowering-.f32`
3330×	`-lowering-.f64`
2212×	`fma-lowering-fma.f32`
2212×	`fma-lowering-fma.f64`
2118×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	322
1	140	272
2	438	258
3	1256	253
4	2084	253
5	3319	253
6	5350	253
7	7240	253
0	8106	253

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (pow (/ 1 (sinh x)) -1/2) (pow (/ 1 (sinh x)) -1/2))
(pow (/ 1 (sinh x)) -1/2)
(/ 1 (sinh x))
1
(sinh x)
x
-1/2
(* 1/6 (* x (* x x)))
1/6
(* x (* x x))
x
(* x x)
(* x (+ 1 (* x (* x (+ 1/6 (* (* x 1/120) x))))))
x
(+ 1 (* x (* x (+ 1/6 (* (* x 1/120) x)))))
1
(* x (* x (+ 1/6 (* (* x 1/120) x))))
(* x (+ 1/6 (* (* x 1/120) x)))
(+ 1/6 (* (* x 1/120) x))
1/6
(* (* x 1/120) x)
(* x 1/120)
1/120
(/ x (/ 2 (+ 2 (* (* x x) (+ 1/3 (* (* x x) 1/60))))))
x
(/ 2 (+ 2 (* (* x x) (+ 1/3 (* (* x x) 1/60)))))
2
(+ 2 (* (* x x) (+ 1/3 (* (* x x) 1/60))))
(* (* x x) (+ 1/3 (* (* x x) 1/60)))
(* x x)
(+ 1/3 (* (* x x) 1/60))
1/3
(* (* x x) 1/60)
1/60
(* x (+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6))))))
x
(+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6)))))
1
(/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6))))
(* (* 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) 1/120) (+ (* (* x x) 1/120) -1/6)))
1/36
(* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6))
(* (* x x) 1/120)
1/120
(+ (* (* x x) 1/120) -1/6)
-1/6

Outputs
(* (pow (/ 1 (sinh x)) -1/2) (pow (/ 1 (sinh x)) -1/2))
(sinh.f64 x)
(pow (/ 1 (sinh x)) -1/2)
(pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1/2 binary64))
(/ 1 (sinh x))
(/.f64 #s(literal 1 binary64) (sinh.f64 x))
1
#s(literal 1 binary64)
(sinh x)
(sinh.f64 x)
x
-1/2
#s(literal -1/2 binary64)
(* 1/6 (* x (* x x)))
(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
1/6
#s(literal 1/6 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
x
(* x x)
(*.f64 x x)
(* x (+ 1 (* x (* x (+ 1/6 (* (* x 1/120) x))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))))
x
(+ 1 (* x (* x (+ 1/6 (* (* x 1/120) x)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x 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 1/120) x))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))
(* x (+ 1/6 (* (* x 1/120) x)))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))
(+ 1/6 (* (* x 1/120) x))
(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))
1/6
#s(literal 1/6 binary64)
(* (* x 1/120) x)
(.f64 x (.f64 x #s(literal 1/120 binary64)))
(* x 1/120)
(*.f64 x #s(literal 1/120 binary64))
1/120
#s(literal 1/120 binary64)
(/ x (/ 2 (+ 2 (* (* x x) (+ 1/3 (* (* x x) 1/60))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))))
x
(/ 2 (+ 2 (* (* x x) (+ 1/3 (* (* x x) 1/60)))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64))))))
2
#s(literal 2 binary64)
(+ 2 (* (* x x) (+ 1/3 (* (* x x) 1/60))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))))
(* (* x x) (+ 1/3 (* (* x x) 1/60)))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64))))
(* x x)
(*.f64 x x)
(+ 1/3 (* (* x x) 1/60))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))
1/3
#s(literal 1/3 binary64)
(* (* x x) 1/60)
(.f64 (.f64 x x) #s(literal 1/60 binary64))
1/60
#s(literal 1/60 binary64)
(* x (+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)))) (/.f64 (.f64 x x) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 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) 1/120) (+ (* (* x x) 1/120) -1/6)))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)))) (/.f64 (.f64 x x) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 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) 1/120) (+ (* (* x x) 1/120) -1/6))))
(.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)))) (/.f64 (.f64 x x) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 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 x (.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))))))
(* x x)
(*.f64 x x)
(+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))
(+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x 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 (.f64 x 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) 1/120) (+ (* (* x x) 1/120) -1/6)))
(+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 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) 1/120) (+ (* (* x x) 1/120) -1/6))
(.f64 x (.f64 x (+.f64 (.f64 (.f64 x x) #s(literal 1/14400 binary64)) #s(literal -1/720 binary64))))
(* (* x x) 1/120)
(.f64 x (.f64 x #s(literal 1/120 binary64)))
1/120
#s(literal 1/120 binary64)
(+ (* (* x x) 1/120) -1/6)
(+.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)

localize419.0ms (4.3%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 (.f64 x x) #s(literal 1/120 binary64))
✓	accuracy	99.8%	(.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (+.f64 (.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
✓	accuracy	99.8%	(.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)))))
✓	accuracy	99.8%	(/.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 (.f64 x x) #s(literal 1/120 binary64)) (+.f64 (.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))
✓	accuracy	99.9%	(.f64 (.f64 x x) #s(literal 1/60 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64))))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/120 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x #s(literal 1/120 binary64)) x))))
✓	accuracy	99.9%	(.f64 (.f64 x #s(literal 1/120 binary64)) x)
✓	accuracy	99.7%	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x #s(literal 1/120 binary64)) x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (sinh.f64 x))
✓	accuracy	100.0%	(sinh.f64 x)
✓	accuracy	99.9%	(pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1/2 binary64))
✓	accuracy	99.6%	(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1/2 binary64)))

Results

274.0ms	126×	5	exit
72.0ms	130×	0	valid

Compiler

Compiled 409 to 44 computations (89.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 196.0ms

backward-pass: 54.0ms (27.6% of total)

ival-mult: 48.0ms (24.5% of total)

...c/correct-round.rkt:119:19: 41.0ms (20.9% of total)

ival-pow: 23.0ms (11.8% of total)

ival-add: 14.0ms (7.2% of total)

ival-div: 11.0ms (5.6% of total)

ival-sinh: 4.0ms (2% of total)

const: 1.0ms (0.5% of total)

series22.0ms (0.2%)

Counts

26 → 312

Calls

Call 1

Inputs
#<alt (* (pow (/ 1 (sinh x)) -1/2) (pow (/ 1 (sinh x)) -1/2))>
#<alt (pow (/ 1 (sinh x)) -1/2)>
#<alt (/ 1 (sinh x))>
#<alt (sinh x)>
#<alt (* 1/6 (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (* x x)>
#<alt (* x (+ 1 (* x (* x (+ 1/6 (* (* x 1/120) x))))))>
#<alt (+ 1 (* x (* x (+ 1/6 (* (* x 1/120) x)))))>
#<alt (* x (* x (+ 1/6 (* (* x 1/120) x))))>
#<alt (* x (+ 1/6 (* (* x 1/120) x)))>
#<alt (/ x (/ 2 (+ 2 (* (* x x) (+ 1/3 (* (* x x) 1/60))))))>
#<alt (/ 2 (+ 2 (* (* x x) (+ 1/3 (* (* x x) 1/60)))))>
#<alt (+ 2 (* (* x x) (+ 1/3 (* (* x x) 1/60))))>
#<alt (* (* x x) (+ 1/3 (* (* x x) 1/60)))>
#<alt (* x (+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6))))))>
#<alt (+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6)))))>
#<alt (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6))))>
#<alt (+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6)))>
#<alt (* (* x 1/120) x)>
#<alt (* x 1/120)>
#<alt (* (* x x) 1/60)>
#<alt (+ 1/3 (* (* x x) 1/60))>
#<alt (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000))))>
#<alt (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6))>
#<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 (sqrt x)>
#<alt (+ (sqrt x) (* 1/12 (sqrt (pow x 5))))>
#<alt (+ (sqrt x) (* (pow x 3) (+ (* 1/240 (sqrt (pow x 3))) (* 1/12 (sqrt (/ 1 x))))))>
#<alt (+ (sqrt x) (* (pow x 3) (+ (* 1/12 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/288 (sqrt (/ 1 x))) (* 1/240 (sqrt (/ 1 x))))))))>
#<alt (* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))>
#<alt (* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))>
#<alt (* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))>
#<alt (* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))>
#<alt (* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))>
#<alt (* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))>
#<alt (* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))>
#<alt (* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1/6 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6))) x)>
#<alt (/ 2 (- (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (- (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (- (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (- (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (- (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (- (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (- (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (- (exp x) (/ 1 (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) (/ 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 (* 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 (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 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 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) (- (* 7/360 (pow x 2)) 1/6)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -1/540 (pow x 2)))) 1/6)))>
#<alt (/ 120 (pow x 4))>
#<alt (/ (- 120 (* 2400 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 120 (/ 33600 (pow x 4))) (* 2400 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 120 (/ 33600 (pow x 4))) (+ (* 2400 (/ 1 (pow x 2))) (* 384000 (/ 1 (pow x 6))))) (pow x 4))>
#<alt (/ 120 (pow x 4))>
#<alt (/ (- 120 (* 2400 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 120 (/ 33600 (pow x 4))) (* 2400 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 120 (/ 33600 (pow x 4))) (+ (* 2400 (/ 1 (pow x 2))) (* 384000 (/ 1 (pow x 6))))) (pow x 4))>
#<alt 2>
#<alt (+ 2 (* 1/3 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))>
#<alt (* 1/60 (pow x 4))>
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* 1/60 (pow x 4))>
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))>
#<alt (* 1/60 (pow x 4))>
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/60 (pow x 4))>
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 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 1/36>
#<alt (+ 1/36 (* -1/720 (pow x 2)))>
#<alt (+ 1/36 (* (pow x 2) (- (* 1/14400 (pow x 2)) 1/720)))>
#<alt (+ 1/36 (* (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 (/ 1/36 (pow x 4))) (* 1/720 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/14400 (/ 1/36 (pow x 4))) (* 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 (/ 1/36 (pow x 4))) (* 1/720 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/14400 (/ 1/36 (pow x 4))) (* 1/720 (/ 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 (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/60 (pow x 2)))>
#<alt (+ 1/3 (* 1/60 (pow x 2)))>
#<alt (+ 1/3 (* 1/60 (pow x 2)))>
#<alt (* 1/60 (pow x 2))>
#<alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/60 (pow x 2))>
#<alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 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 (* -1/720 (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)))))>
#<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

78 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(/ 1 (sinh x))
3.0ms	x	@	0	(* x (+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6))))))
1.0ms	x	@	inf	(* x (+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6))))))
1.0ms	x	@	inf	(/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6))))
1.0ms	x	@	inf	(pow (/ 1 (sinh x)) -1/2)

rewrite366.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3466×	`-lowering-.f32`
3466×	`-lowering-.f64`
2700×	`fma-lowering-fma.f32`
2700×	`fma-lowering-fma.f64`
2056×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	207
1	285	175
2	2402	170
0	8317	170

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 665

Calls

Call 1

Inputs
(* (pow (/ 1 (sinh x)) -1/2) (pow (/ 1 (sinh x)) -1/2))
(pow (/ 1 (sinh x)) -1/2)
(/ 1 (sinh x))
(sinh x)
(* 1/6 (* x (* x x)))
(* x (* x x))
(* x x)
(* x (+ 1 (* x (* x (+ 1/6 (* (* x 1/120) x))))))
(+ 1 (* x (* x (+ 1/6 (* (* x 1/120) x)))))
(* x (* x (+ 1/6 (* (* x 1/120) x))))
(* x (+ 1/6 (* (* x 1/120) x)))
(/ x (/ 2 (+ 2 (* (* x x) (+ 1/3 (* (* x x) 1/60))))))
(/ 2 (+ 2 (* (* x x) (+ 1/3 (* (* x x) 1/60)))))
(+ 2 (* (* x x) (+ 1/3 (* (* x x) 1/60))))
(* (* x x) (+ 1/3 (* (* x x) 1/60)))
(* x (+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6))))))
(+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6)))))
(/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6))))
(+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6)))
(* (* x 1/120) x)
(* x 1/120)
(* (* x x) 1/60)
(+ 1/3 (* (* x x) 1/60))
(* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000))))
(* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6))
(* (* x x) 1/120)

Outputs
(exp.f64 (log.f64 (sinh.f64 x)))
(exp.f64 (*.f64 (log.f64 (sinh.f64 x)) #s(literal 1 binary64)))
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) 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 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(/.f64 (sinh.f64 x) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(pow.f64 (sinh.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sinh.f64 x) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (sinh.f64 x) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 (sinh.f64 x) #s(literal -2 binary64)) (pow.f64 (sinh.f64 x) #s(literal -2 binary64))) #s(literal -1/4 binary64))
(*.f64 #s(literal 1 binary64) (sinh.f64 x))
(*.f64 (sinh.f64 x) #s(literal 1 binary64))
(*.f64 (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sinh.f64 x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sinh.f64 x) #s(literal 1/4 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (sinh.f64 x) #s(literal 3/4 binary64)) (pow.f64 (sinh.f64 x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (pow.f64 (sinh.f64 x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (sinh.f64 x) #s(literal 3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (sinh.f64 x) #s(literal 3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (sinh.f64 x) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (sinh.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sinh.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (sinh.f64 x))))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (sinh.f64 x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sinh.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 (sinh.f64 x))) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sinh.f64 x) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #s(literal -1/4 binary64)) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #s(literal -1/4 binary64))))
(sqrt.f64 (sinh.f64 x))
(pow.f64 (sinh.f64 x) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (sinh.f64 x) #s(literal -2 binary64)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 (sinh.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))))
(*.f64 #s(literal 1 binary64) (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sinh.f64 x) #s(literal 1/4 binary64)) (pow.f64 (sinh.f64 x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (sinh.f64 x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (sinh.f64 x) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (sinh.f64 x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (sinh.f64 x) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (sinh.f64 x) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (sinh.f64 x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sinh.f64 x))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (sinh.f64 x) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (sinh.f64 x) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (sinh.f64 x)))
(/.f64 #s(literal 1 binary64) (sinh.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sinh.f64 x)))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x)))))
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(.f64 (.f64 x #s(literal 1/120 binary64)) x)

simplify334.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

4878×	`-lowering-.f32`
4878×	`-lowering-.f64`
2536×	`+-lowering-+.f64`
2536×	`+-lowering-+.f32`
1780×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	175	2611
1	483	2254
2	1393	2222
3	4274	2122
0	9362	2122

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

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))))
(sqrt x)
(+ (sqrt x) (* 1/12 (sqrt (pow x 5))))
(+ (sqrt x) (* (pow x 3) (+ (* 1/240 (sqrt (pow x 3))) (* 1/12 (sqrt (/ 1 x))))))
(+ (sqrt x) (* (pow x 3) (+ (* 1/12 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/288 (sqrt (/ 1 x))) (* 1/240 (sqrt (/ 1 x))))))))
(* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))
(* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))
(* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))
(* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))
(* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))
(* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))
(* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))
(* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))
(/ 1 x)
(/ (+ 1 (* -1/6 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6))) x)
(/ 2 (- (exp x) (/ 1 (exp x))))
(/ 2 (- (exp x) (/ 1 (exp x))))
(/ 2 (- (exp x) (/ 1 (exp x))))
(/ 2 (- (exp x) (/ 1 (exp x))))
(/ 2 (- (exp x) (/ 1 (exp x))))
(/ 2 (- (exp x) (/ 1 (exp x))))
(/ 2 (- (exp x) (/ 1 (exp x))))
(/ 2 (- (exp x) (/ 1 (exp x))))
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))))
(* 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)
(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)
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)))))
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) (- (* 7/360 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -1/540 (pow x 2)))) 1/6)))
(/ 120 (pow x 4))
(/ (- 120 (* 2400 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 120 (/ 33600 (pow x 4))) (* 2400 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 120 (/ 33600 (pow x 4))) (+ (* 2400 (/ 1 (pow x 2))) (* 384000 (/ 1 (pow x 6))))) (pow x 4))
(/ 120 (pow x 4))
(/ (- 120 (* 2400 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 120 (/ 33600 (pow x 4))) (* 2400 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 120 (/ 33600 (pow x 4))) (+ (* 2400 (/ 1 (pow x 2))) (* 384000 (/ 1 (pow x 6))))) (pow x 4))
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))
(* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))
(* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 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)))))
1/36
(+ 1/36 (* -1/720 (pow x 2)))
(+ 1/36 (* (pow x 2) (- (* 1/14400 (pow x 2)) 1/720)))
(+ 1/36 (* (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 (/ 1/36 (pow x 4))) (* 1/720 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/14400 (/ 1/36 (pow x 4))) (* 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 (/ 1/36 (pow x 4))) (* 1/720 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/14400 (/ 1/36 (pow x 4))) (* 1/720 (/ 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)
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
1/3
(+ 1/3 (* 1/60 (pow x 2)))
(+ 1/3 (* 1/60 (pow x 2)))
(+ 1/3 (* 1/60 (pow x 2)))
(* 1/60 (pow x 2))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/60 (pow x 2))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 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)))))
(* -1/720 (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)))))
(* 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 #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 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 x (.f64 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))))))))))
(* 1/2 (- (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)))
(sqrt x)
(sqrt.f64 x)
(+ (sqrt x) (* 1/12 (sqrt (pow x 5))))
(+.f64 (sqrt.f64 x) (.f64 #s(literal 1/12 binary64) (sqrt.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
(+ (sqrt x) (* (pow x 3) (+ (* 1/240 (sqrt (pow x 3))) (* 1/12 (sqrt (/ 1 x))))))
(+.f64 (sqrt.f64 x) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 #s(literal 1/240 binary64) (sqrt.f64 (.f64 x (.f64 x x)))) (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(+ (sqrt x) (* (pow x 3) (+ (* 1/12 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/288 (sqrt (/ 1 x))) (* 1/240 (sqrt (/ 1 x))))))))
(+.f64 (sqrt.f64 x) (.f64 (.f64 (.f64 x (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/1440 binary64)))))
(* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))))
(* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))))
(* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))))
(* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))))
(* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))))
(* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))))
(* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))))
(* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/6 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64)))) x)
(/ (+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 7/360 binary64)))))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 7/360 binary64) (.f64 (.f64 x x) #s(literal -31/15120 binary64)))))))) x)
(/ 2 (- (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(/ 2 (- (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(/ 2 (- (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(/ 2 (- (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(/ 2 (- (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(/ 2 (- (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(/ 2 (- (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(/ 2 (- (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
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(* x (+ 1 (* 1/6 (pow x 2))))
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(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/120 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) x) x)))
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1
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(+ 1 (* 1/6 (pow x 2)))
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(* 1/120 (pow x 4))
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(* (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)))))
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(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
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1/36
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(.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 x (.f64 x (+.f64 #s(literal -1/720 binary64) (.f64 (.f64 x x) #s(literal 1/14400 binary64)))))
(* (pow x 4) (- (+ 1/14400 (/ 1/36 (pow x 4))) (* 1/720 (/ 1 (pow x 2)))))
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(* 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)))))
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(.f64 (.f64 x x) #s(literal 1/120 binary64))
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(.f64 (.f64 x x) #s(literal 1/120 binary64))
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(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 x)
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(* 1/120 x)
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(* 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)
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(* 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)
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(.f64 x (.f64 x #s(literal 1/60 binary64)))
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(.f64 x (.f64 x #s(literal 1/60 binary64)))
(* 1/60 (pow x 2))
(.f64 x (.f64 x #s(literal 1/60 binary64)))
(* 1/60 (pow x 2))
(.f64 x (.f64 x #s(literal 1/60 binary64)))
(* 1/60 (pow x 2))
(.f64 x (.f64 x #s(literal 1/60 binary64)))
(* 1/60 (pow x 2))
(.f64 x (.f64 x #s(literal 1/60 binary64)))
(* 1/60 (pow x 2))
(.f64 x (.f64 x #s(literal 1/60 binary64)))
(* 1/60 (pow x 2))
(.f64 x (.f64 x #s(literal 1/60 binary64)))
(* 1/60 (pow x 2))
(.f64 x (.f64 x #s(literal 1/60 binary64)))
(* 1/60 (pow x 2))
(.f64 x (.f64 x #s(literal 1/60 binary64)))
(* 1/60 (pow x 2))
(.f64 x (.f64 x #s(literal 1/60 binary64)))
(* 1/60 (pow x 2))
(.f64 x (.f64 x #s(literal 1/60 binary64)))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/60 (pow x 2)))
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(* 1/60 (pow x 2))
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(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/60 binary64))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/60 binary64))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
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(* 1/60 (pow x 2))
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(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/60 binary64))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/60 binary64))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/60 binary64))))
(* 1/216 (pow x 2))
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(* (pow x 2) (+ 1/216 (* 1/1728000 (pow x 6))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64))))
(* (pow x 2) (+ 1/216 (* 1/1728000 (pow x 6))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64))))
(* (pow x 2) (+ 1/216 (* 1/1728000 (pow x 6))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64))))
(* 1/1728000 (pow x 8))
(*.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/1728000 (* 1/216 (/ 1 (pow x 6)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/1728000 binary64) (/.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* (pow x 8) (+ 1/1728000 (* 1/216 (/ 1 (pow x 6)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/1728000 binary64) (/.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* (pow x 8) (+ 1/1728000 (* 1/216 (/ 1 (pow x 6)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/1728000 binary64) (/.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* 1/1728000 (pow x 8))
(*.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/1728000 (* 1/216 (/ 1 (pow x 6)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/1728000 binary64) (/.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* (pow x 8) (+ 1/1728000 (* 1/216 (/ 1 (pow x 6)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/1728000 binary64) (/.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* (pow x 8) (+ 1/1728000 (* 1/216 (/ 1 (pow x 6)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/1728000 binary64) (/.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 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 x (.f64 x (+.f64 #s(literal -1/720 binary64) (.f64 (.f64 x x) #s(literal 1/14400 binary64)))))
(* (pow x 2) (- (* 1/14400 (pow x 2)) 1/720))
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(* (pow x 2) (- (* 1/14400 (pow x 2)) 1/720))
(.f64 x (.f64 x (+.f64 #s(literal -1/720 binary64) (.f64 (.f64 x x) #s(literal 1/14400 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 x (.f64 x (+.f64 #s(literal -1/720 binary64) (.f64 (.f64 x x) #s(literal 1/14400 binary64)))))
(* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))
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(* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal -1/720 binary64) (.f64 (.f64 x x) #s(literal 1/14400 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 x (.f64 x (+.f64 #s(literal -1/720 binary64) (.f64 (.f64 x x) #s(literal 1/14400 binary64)))))
(* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal -1/720 binary64) (.f64 (.f64 x x) #s(literal 1/14400 binary64)))))
(* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal -1/720 binary64) (.f64 (.f64 x x) #s(literal 1/14400 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))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))

eval246.0ms (2.5%)

Compiler: Compiled 36953 to 3044 computations (91.8% saved)

prune159.0ms (1.6%)

Pruning

27 alts after pruning (22 fresh and 5 done)

	Pruned	Kept	Total
New	1279	12	1291
Fresh	3	10	13
Picked	3	2	5
Done	0	3	3
Total	1285	27	1312

Accuracy

100.0%

Counts

1312 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(pow.f64 (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	34.1%	(/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))) (.f64 x x)) (-.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x))
	54.1%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) #s(literal -1 binary64)))))
	42.0%	(/.f64 x (/.f64 (-.f64 #s(literal 120 binary64) (/.f64 #s(literal 2400 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))
▶	42.2%	(/.f64 x (/.f64 #s(literal 120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
✓	89.3%	(/.f64 x (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))))))
	89.3%	(/.f64 x (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/60 binary64)))))))
	42.2%	(/.f64 x (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/60 binary64)))))))
	89.1%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))))))
	89.3%	(+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)
	35.7%	(.f64 (.f64 (*.f64 x #s(literal 1/6 binary64)) x) x)
	35.7%	(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
▶	35.7%	(.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
	50.6%	(.f64 x (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1 binary64)))))))
	52.1%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (+.f64 #s(literal 1/10077696 binary64) (.f64 #s(literal 1/5159780352000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)))))) (.f64 x x)) (+.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)))) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)))) #s(literal -1/216 binary64))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (+.f64 (.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))
	93.9%	(.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))))) #s(literal 1/36 binary64))))
▶	91.6%	(.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))))))))
	91.6%	(.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 x (*.f64 x #s(literal 1/5040 binary64)))))))))
▶	89.3%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))))
	91.6%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 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))))))))))
✓	82.6%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64)))))
	42.3%	(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
	42.2%	(.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
	42.2%	(.f64 x (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))))
✓	35.7%	(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
✓	100.0%	(sinh.f64 x)
✓	52.6%	x

Compiler

Compiled 1147 to 532 computations (53.6% saved)

simplify217.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.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))))))
✓	cost-diff	0	(+.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)))))))
✓	cost-diff	0	(.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))))))))
✓	cost-diff	128	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))))
✓	cost-diff	128	(.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))))
✓	cost-diff	128	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))))
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 x x)))
✓	cost-diff	0	(/.f64 #s(literal 120 binary64) (.f64 x (.f64 x (*.f64 x x))))
✓	cost-diff	0	(/.f64 x (/.f64 #s(literal 120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	cost-diff	0	(.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
✓	cost-diff	0	(sinh.f64 x)
✓	cost-diff	0	(pow.f64 (sinh.f64 x) #s(literal 1/2 binary64))
✓	cost-diff	12928	(pow.f64 (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))

Rules

2784×	`sum3-define`
2736×	`fma-lowering-fma.f32`
2736×	`fma-lowering-fma.f64`
2078×	`fma-define`
1896×	`sum4-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	210
1	100	176
2	291	173
3	854	170
4	1796	170
5	2739	170
6	3104	170
7	3758	170
8	7106	170
0	8147	170

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(pow (pow (sinh x) 1/2) 2)
(pow (sinh x) 1/2)
(sinh x)
x
1/2
2
(* (* 1/6 (* x x)) x)
(* 1/6 (* x x))
1/6
(* x x)
x
(/ x (/ 120 (* x (* x (* x x)))))
x
(/ 120 (* x (* x (* x x))))
120
(* x (* x (* x x)))
(* x (* x x))
(* x x)
(* x (+ 1 (* x (/ x (/ 1 (+ 1/6 (* (* x x) 1/120)))))))
x
(+ 1 (* x (/ x (/ 1 (+ 1/6 (* (* x x) 1/120))))))
1
(* x (/ x (/ 1 (+ 1/6 (* (* x x) 1/120)))))
(/ x (/ 1 (+ 1/6 (* (* x x) 1/120))))
(/ 1 (+ 1/6 (* (* x x) 1/120)))
(+ 1/6 (* (* x x) 1/120))
1/6
(* (* x x) 1/120)
(* x x)
1/120
(* 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)))
(+ 1/120 (* (* x x) 1/5040))
1/120
(* (* x x) 1/5040)
1/5040

Outputs
(pow (pow (sinh x) 1/2) 2)
(sinh.f64 x)
(pow (sinh x) 1/2)
(pow.f64 (sinh.f64 x) #s(literal 1/2 binary64))
(sinh x)
(sinh.f64 x)
x
1/2
#s(literal 1/2 binary64)
2
#s(literal 2 binary64)
(* (* 1/6 (* x x)) x)
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* x x))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
1/6
#s(literal 1/6 binary64)
(* x x)
(*.f64 x x)
x
(/ x (/ 120 (* x (* x (* x x)))))
(/.f64 x (/.f64 #s(literal 120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
x
(/ 120 (* x (* x (* x x))))
(/.f64 #s(literal 120 binary64) (.f64 x (.f64 x (*.f64 x x))))
120
#s(literal 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 (+ 1 (* x (/ x (/ 1 (+ 1/6 (* (* x x) 1/120)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) #s(literal 120 binary64))))))
x
(+ 1 (* x (/ x (/ 1 (+ 1/6 (* (* x x) 1/120))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x x) #s(literal 120 binary64)))))
1
#s(literal 1 binary64)
(* x (/ x (/ 1 (+ 1/6 (* (* x x) 1/120)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x x) #s(literal 120 binary64))))
(/ x (/ 1 (+ 1/6 (* (* x x) 1/120))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) #s(literal 120 binary64))))
(/ 1 (+ 1/6 (* (* x x) 1/120)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x x) #s(literal 120 binary64))))
(+ 1/6 (* (* x x) 1/120))
(+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x x) #s(literal 120 binary64)))
1/6
#s(literal 1/6 binary64)
(* (* x x) 1/120)
(/.f64 (*.f64 x x) #s(literal 120 binary64))
(* x x)
(*.f64 x x)
1/120
#s(literal 1/120 binary64)
(* 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 (.f64 x 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 (.f64 x 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 (.f64 x 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 (.f64 x 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 (.f64 x 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))
1/5040
#s(literal 1/5040 binary64)

localize204.0ms (2.1%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.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))))))))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
✓	accuracy	99.8%	(.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))))))
✓	accuracy	99.2%	(.f64 (.f64 x x) #s(literal 1/5040 binary64))
✓	accuracy	99.9%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))))
✓	accuracy	99.9%	(.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 1/120 binary64))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.9%	(/.f64 x (/.f64 #s(literal 120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.5%	(/.f64 #s(literal 120 binary64) (.f64 x (.f64 x (*.f64 x x))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
✓	accuracy	99.7%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	accuracy	100.0%	(pow.f64 (sinh.f64 x) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(sinh.f64 x)
✓	accuracy	99.6%	(pow.f64 (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))

Results

126.0ms

256×

valid

Compiler

Compiled 256 to 33 computations (87.1% saved)

Precisions

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

ival-mult: 21.0ms (26.7% of total)

ival-pow: 20.0ms (25.4% of total)

...c/correct-round.rkt:119:19: 13.0ms (16.5% of total)

ival-div: 12.0ms (15.2% of total)

ival-add: 10.0ms (12.7% of total)

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

const: 1.0ms (1.3% of total)

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

series9.0ms (0.1%)

Counts

21 → 252

Calls

Call 1

Inputs
#<alt (pow (pow (sinh x) 1/2) 2)>
#<alt (pow (sinh x) 1/2)>
#<alt (sinh x)>
#<alt (* (* 1/6 (* x x)) x)>
#<alt (* 1/6 (* x x))>
#<alt (* x x)>
#<alt (/ x (/ 120 (* x (* x (* x x)))))>
#<alt (/ 120 (* x (* x (* x x))))>
#<alt (* x (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (* x (+ 1 (* x (/ x (/ 1 (+ 1/6 (* (* x x) 1/120)))))))>
#<alt (+ 1 (* x (/ x (/ 1 (+ 1/6 (* (* x x) 1/120))))))>
#<alt (* x (/ x (/ 1 (+ 1/6 (* (* x x) 1/120)))))>
#<alt (/ x (/ 1 (+ 1/6 (* (* x x) 1/120))))>
#<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 (/ 1 (+ 1/6 (* (* x x) 1/120)))>
#<alt (* (* x x) 1/120)>
#<alt (* (* x x) 1/5040)>
#<alt (* (* x x) (+ 1/120 (* (* x x) 1/5040)))>

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 (sqrt x)>
#<alt (+ (sqrt x) (* 1/12 (sqrt (pow x 5))))>
#<alt (+ (sqrt x) (* (pow x 3) (+ (* 1/240 (sqrt (pow x 3))) (* 1/12 (sqrt (/ 1 x))))))>
#<alt (+ (sqrt x) (* (pow x 3) (+ (* 1/12 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/288 (sqrt (/ 1 x))) (* 1/240 (sqrt (/ 1 x))))))))>
#<alt (* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))>
#<alt (* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))>
#<alt (* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))>
#<alt (* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))>
#<alt (* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))>
#<alt (* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))>
#<alt (* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))>
#<alt (* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (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) (/ 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 (* 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 (* 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 (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 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 (/ 120 (pow x 4))>
#<alt (/ 120 (pow x 4))>
#<alt (/ 120 (pow x 4))>
#<alt (/ 120 (pow x 4))>
#<alt (/ 120 (pow x 4))>
#<alt (/ 120 (pow x 4))>
#<alt (/ 120 (pow x 4))>
#<alt (/ 120 (pow x 4))>
#<alt (/ 120 (pow x 4))>
#<alt (/ 120 (pow x 4))>
#<alt (/ 120 (pow x 4))>
#<alt (/ 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 (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 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 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 6>
#<alt (+ 6 (* -3/10 (pow x 2)))>
#<alt (+ 6 (* (pow x 2) (- (* 3/200 (pow x 2)) 3/10)))>
#<alt (+ 6 (* (pow x 2) (- (* (pow x 2) (+ 3/200 (* -3/4000 (pow x 2)))) 3/10)))>
#<alt (/ 120 (pow x 2))>
#<alt (/ (- 120 (* 2400 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 120 (/ 48000 (pow x 4))) (* 2400 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 120 (/ 48000 (pow x 4))) (+ (* 2400 (/ 1 (pow x 2))) (* 960000 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (/ 120 (pow x 2))>
#<alt (/ (- 120 (* 2400 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 120 (/ 48000 (pow x 4))) (* 2400 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 120 (/ 48000 (pow x 4))) (+ (* 2400 (/ 1 (pow x 2))) (* 960000 (/ 1 (pow x 6))))) (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 (* 1/5040 (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)))))>

Calls

63 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/ x (/ 120 (* x (* x (* x x)))))
0.0ms	x	@	0	(/ 120 (* x (* x (* x x))))
0.0ms	x	@	0	(/ 1 (+ 1/6 (* (* x x) 1/120)))
0.0ms	x	@	-inf	(pow (sinh x) 1/2)
0.0ms	x	@	inf	(pow (sinh x) 1/2)

rewrite397.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3260×	`-lowering-.f32`
3260×	`-lowering-.f64`
3204×	`/-lowering-/.f32`
3204×	`/-lowering-/.f64`
1934×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	163
1	204	135
2	1577	132
0	8219	132

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 620

Calls

Call 1

Inputs
(pow (pow (sinh x) 1/2) 2)
(pow (sinh x) 1/2)
(sinh x)
(* (* 1/6 (* x x)) x)
(* 1/6 (* x x))
(* x x)
(/ x (/ 120 (* x (* x (* x x)))))
(/ 120 (* x (* x (* x x))))
(* x (* x (* x x)))
(* x (* x x))
(* x (+ 1 (* x (/ x (/ 1 (+ 1/6 (* (* x x) 1/120)))))))
(+ 1 (* x (/ x (/ 1 (+ 1/6 (* (* x x) 1/120))))))
(* x (/ x (/ 1 (+ 1/6 (* (* x x) 1/120)))))
(/ x (/ 1 (+ 1/6 (* (* x x) 1/120))))
(* 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 (+ 1/6 (* (* x x) 1/120)))
(* (* x x) 1/120)
(* (* x x) 1/5040)
(* (* x x) (+ 1/120 (* (* x x) 1/5040)))

Outputs
(exp.f64 (log.f64 (sinh.f64 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(fabs.f64 (sinh.f64 x))
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (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 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (exp.f64 (log.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) #s(literal 4 binary64))
(/.f64 (neg.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 (/.f64 #s(literal 1 binary64) (exp.f64 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 (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64))))))
(pow.f64 (sinh.f64 x) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (sinh.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sinh.f64 x) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (sinh.f64 x))))
(*.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (sinh.f64 x)))
(*.f64 #s(literal 1 binary64) (sinh.f64 x))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (sinh.f64 x) #s(literal 1/4 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (sinh.f64 x) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (sinh.f64 x) #s(literal 3/4 binary64)) #s(literal 1 binary64)))
(.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (sinh.f64 x) #s(literal 3/4 binary64)) (pow.f64 (sinh.f64 x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (pow.f64 (sinh.f64 x) #s(literal 3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (sinh.f64 x) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (sinh.f64 x))))
(exp.f64 (.f64 (.f64 (log.f64 (sinh.f64 x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(fabs.f64 (sqrt.f64 (sinh.f64 x)))
(sqrt.f64 (sinh.f64 x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (sqrt.f64 #s(literal -2 binary64)))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (sinh.f64 x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (sinh.f64 x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (sinh.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (sinh.f64 x)))
(*.f64 (pow.f64 (sinh.f64 x) #s(literal 1/4 binary64)) (pow.f64 (sinh.f64 x) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x))) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (sinh.f64 x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (sinh.f64 x) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (sinh.f64 x) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (sinh.f64 x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (sinh.f64 x) #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 (sinh.f64 x) #s(literal 3/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (sinh.f64 x) #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 (sinh.f64 x) #s(literal 1/4 binary64))))
(exp.f64 (log.f64 (sinh.f64 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(fabs.f64 (sinh.f64 x))
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (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 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (exp.f64 (log.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) #s(literal 4 binary64))
(/.f64 (neg.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 (/.f64 #s(literal 1 binary64) (exp.f64 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 (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64))))))
(pow.f64 (sinh.f64 x) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (sinh.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sinh.f64 x) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (sinh.f64 x))))
(*.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (sinh.f64 x)))
(*.f64 #s(literal 1 binary64) (sinh.f64 x))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (sinh.f64 x) #s(literal 1/4 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (sinh.f64 x) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (sinh.f64 x) #s(literal 3/4 binary64)) #s(literal 1 binary64)))
(.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (sinh.f64 x) #s(literal 3/4 binary64)) (pow.f64 (sinh.f64 x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (pow.f64 (sinh.f64 x) #s(literal 3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (sinh.f64 x) #s(literal 1/4 binary64)))
(/.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) x))
(.f64 x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 x (*.f64 x #s(literal 1/6 binary64))) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64))
(.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 x x))
(/.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
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(-.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/14400 binary64)) (-.f64 (/.f64 (.f64 x x) #s(literal 120 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (-.f64 (/.f64 (.f64 x x) #s(literal 120 binary64)) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
(fma.f64 x (/.f64 x #s(literal 120 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))
(fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))) (/.f64 (.f64 x x) #s(literal 120 binary64)))
(fma.f64 x (.f64 (.f64 x #s(literal 1/5040 binary64)) (.f64 x x)) (/.f64 (.f64 x x) #s(literal 120 binary64)))
(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) (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (/.f64 (.f64 x x) #s(literal 120 binary64)))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/5040 binary64)) (/.f64 (.f64 x x) #s(literal 120 binary64)))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/5040 binary64) (/.f64 (.f64 x x) #s(literal 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 1/5040 binary64) (.f64 x (.f64 x (.f64 x x))) (/.f64 (.f64 x x) #s(literal 120 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x x) (/.f64 (.f64 x x) #s(literal 120 binary64)))
(fma.f64 (/.f64 x #s(literal 120 binary64)) x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) x) x (/.f64 (.f64 x x) #s(literal 120 binary64)))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/14400 binary64)) (-.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (.f64 (/.f64 (.f64 x x) #s(literal 120 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) #s(literal 1728000 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 120 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/14400 binary64)) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 x) (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 x x))) (.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 binary64) (/.f64 (+.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 #s(literal 1/1728000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)))) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 x x))) (.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (.f64 x x))))
(/.f64 (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) #s(literal 1728000 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/14400 binary64)) (-.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (.f64 (/.f64 (.f64 x x) #s(literal 120 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/14400 binary64)) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))) (-.f64 (/.f64 (.f64 x x) #s(literal 120 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.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 #s(literal -1/5040 binary64) (.f64 x x))))
(/.f64 (.f64 (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)))) (.f64 x 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))) (.f64 x x)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 x x))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) #s(literal 1728000 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/14400 binary64)) (-.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (.f64 (/.f64 (.f64 x x) #s(literal 120 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/14400 binary64)) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))) (neg.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 120 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)))))) (neg.f64 (+.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 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))))) (neg.f64 (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 x x)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)))) (.f64 x x))) (neg.f64 (+.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 (neg.f64 (.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (.f64 x x))) (neg.f64 (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 x x)))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) #s(literal 1728000 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/14400 binary64)) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) (/.f64 (.f64 x x) #s(literal 120 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 (+.f64 (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) #s(literal 1728000 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/14400 binary64)) (-.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) (.f64 (/.f64 (.f64 x x) #s(literal 120 binary64)) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))))
(.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/14400 binary64)) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 x x) #s(literal 120 binary64)) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
(.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64))))) (/.f64 #s(literal 1 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 binary64) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 x x)))))
(.f64 (.f64 (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)))) (.f64 x x)) (/.f64 #s(literal 1 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 #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 binary64) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 x x)))))

simplify336.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

4076×	`-lowering-.f32`
4076×	`-lowering-.f64`
2856×	`+-lowering-+.f64`
2856×	`+-lowering-+.f32`
1198×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	148	2008
1	446	1731
2	1374	1705
3	4447	1677
0	8255	1677

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

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))))
(sqrt x)
(+ (sqrt x) (* 1/12 (sqrt (pow x 5))))
(+ (sqrt x) (* (pow x 3) (+ (* 1/240 (sqrt (pow x 3))) (* 1/12 (sqrt (/ 1 x))))))
(+ (sqrt x) (* (pow x 3) (+ (* 1/12 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/288 (sqrt (/ 1 x))) (* 1/240 (sqrt (/ 1 x))))))))
(* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))
(* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))
(* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))
(* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))
(* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))
(* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))
(* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))
(* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/2 (- (exp x) (/ 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))))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(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 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))
(/ 120 (pow x 4))
(/ 120 (pow x 4))
(/ 120 (pow x 4))
(/ 120 (pow x 4))
(/ 120 (pow x 4))
(/ 120 (pow x 4))
(/ 120 (pow x 4))
(/ 120 (pow x 4))
(/ 120 (pow x 4))
(/ 120 (pow x 4))
(/ 120 (pow x 4))
(/ 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)
(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)
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)))))
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))))))
6
(+ 6 (* -3/10 (pow x 2)))
(+ 6 (* (pow x 2) (- (* 3/200 (pow x 2)) 3/10)))
(+ 6 (* (pow x 2) (- (* (pow x 2) (+ 3/200 (* -3/4000 (pow x 2)))) 3/10)))
(/ 120 (pow x 2))
(/ (- 120 (* 2400 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 120 (/ 48000 (pow x 4))) (* 2400 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 120 (/ 48000 (pow x 4))) (+ (* 2400 (/ 1 (pow x 2))) (* 960000 (/ 1 (pow x 6))))) (pow x 2))
(/ 120 (pow x 2))
(/ (- 120 (* 2400 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 120 (/ 48000 (pow x 4))) (* 2400 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 120 (/ 48000 (pow x 4))) (+ (* 2400 (/ 1 (pow x 2))) (* 960000 (/ 1 (pow x 6))))) (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))
(* 1/5040 (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)))))

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 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x 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)))
(sqrt x)
(sqrt.f64 x)
(+ (sqrt x) (* 1/12 (sqrt (pow x 5))))
(+.f64 (sqrt.f64 x) (.f64 #s(literal 1/12 binary64) (sqrt.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
(+ (sqrt x) (* (pow x 3) (+ (* 1/240 (sqrt (pow x 3))) (* 1/12 (sqrt (/ 1 x))))))
(+.f64 (sqrt.f64 x) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 #s(literal 1/240 binary64) (sqrt.f64 (.f64 x (.f64 x x)))) (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(+ (sqrt x) (* (pow x 3) (+ (* 1/12 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/288 (sqrt (/ 1 x))) (* 1/240 (sqrt (/ 1 x))))))))
(+.f64 (sqrt.f64 x) (.f64 (.f64 (.f64 x (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/1440 binary64)))))
(* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))))
(* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))))
(* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))))
(* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))))
(* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))))
(* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))))
(* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))))
(* (sqrt 1/2) (sqrt (- (exp x) (/ 1 (exp x)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 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 (* (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) (/ 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)))
(* 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)))
(* 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)))
(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 5))
(.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(* 1/120 (pow x 5))
(.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(* 1/120 (pow x 5))
(.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(* 1/120 (pow x 5))
(.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(* 1/120 (pow x 5))
(.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(* 1/120 (pow x 5))
(.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(* 1/120 (pow x 5))
(.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(* 1/120 (pow x 5))
(.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(* 1/120 (pow x 5))
(.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(* 1/120 (pow x 5))
(.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(* 1/120 (pow x 5))
(.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(* 1/120 (pow x 5))
(.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(/ 120 (pow x 4))
(/.f64 #s(literal 120 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 120 (pow x 4))
(/.f64 #s(literal 120 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 120 (pow x 4))
(/.f64 #s(literal 120 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 120 (pow x 4))
(/.f64 #s(literal 120 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 120 (pow x 4))
(/.f64 #s(literal 120 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 120 (pow x 4))
(/.f64 #s(literal 120 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 120 (pow x 4))
(/.f64 #s(literal 120 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 120 (pow x 4))
(/.f64 #s(literal 120 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 120 (pow x 4))
(/.f64 #s(literal 120 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 120 (pow x 4))
(/.f64 #s(literal 120 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 120 (pow x 4))
(/.f64 #s(literal 120 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 120 (pow x 4))
(/.f64 #s(literal 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)))
(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))
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 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 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 x (.f64 x (.f64 x (.f64 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 x (.f64 x (.f64 x (.f64 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 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 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 x (.f64 x (.f64 x (.f64 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 x (.f64 x (.f64 x (.f64 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 x (.f64 x (.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))) (/ 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 x (.f64 x (.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))) (/ 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 x (.f64 x (.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)))))
(* (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 x (.f64 x (.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)))))
(* (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 x (.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 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 x (.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 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))))
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))))))))
(* 1/5040 (pow x 7))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 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)))))))
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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 (* (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 (.f64 x 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 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 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 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 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 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 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 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 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 x (.f64 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 (.f64 x 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 (.f64 x 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 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 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 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
6
#s(literal 6 binary64)
(+ 6 (* -3/10 (pow x 2)))
(+.f64 #s(literal 6 binary64) (.f64 x (.f64 x #s(literal -3/10 binary64))))
(+ 6 (* (pow x 2) (- (* 3/200 (pow x 2)) 3/10)))
(+.f64 #s(literal 6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -3/10 binary64) (.f64 (.f64 x x) #s(literal 3/200 binary64)))))
(+ 6 (* (pow x 2) (- (* (pow x 2) (+ 3/200 (* -3/4000 (pow x 2)))) 3/10)))
(+.f64 #s(literal 6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -3/10 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/200 binary64) (.f64 x (.f64 x #s(literal -3/4000 binary64))))))))
(/ 120 (pow x 2))
(/.f64 #s(literal 120 binary64) (*.f64 x x))
(/ (- 120 (* 2400 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal 120 binary64) (/.f64 #s(literal -2400 binary64) (*.f64 x x))) x) x)
(/ (- (+ 120 (/ 48000 (pow x 4))) (* 2400 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 120 binary64) (/.f64 #s(literal -2400 binary64) (.f64 x x))) (/.f64 #s(literal 48000 binary64) (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x))
(/ (- (+ 120 (/ 48000 (pow x 4))) (+ (* 2400 (/ 1 (pow x 2))) (* 960000 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 120 binary64) (/.f64 #s(literal -2400 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 48000 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -960000 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x))
(/ 120 (pow x 2))
(/.f64 #s(literal 120 binary64) (*.f64 x x))
(/ (- 120 (* 2400 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal 120 binary64) (/.f64 #s(literal -2400 binary64) (*.f64 x x))) x) x)
(/ (- (+ 120 (/ 48000 (pow x 4))) (* 2400 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 120 binary64) (/.f64 #s(literal -2400 binary64) (.f64 x x))) (/.f64 #s(literal 48000 binary64) (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x))
(/ (- (+ 120 (/ 48000 (pow x 4))) (+ (* 2400 (/ 1 (pow x 2))) (* 960000 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 120 binary64) (/.f64 #s(literal -2400 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 48000 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -960000 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.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))
(* 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 (.f64 x 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 (.f64 x 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 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* 1/5040 (pow x 4))
(.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (.f64 x 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 (.f64 x 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 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* 1/5040 (pow x 4))
(.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (.f64 x 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 (.f64 x 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 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))

eval235.0ms (2.4%)

Compiler: Compiled 25489 to 2655 computations (89.6% saved)

prune184.0ms (1.9%)

Pruning

39 alts after pruning (33 fresh and 6 done)

	Pruned	Kept	Total
New	967	25	992
Fresh	9	8	17
Picked	2	3	5
Done	2	3	5
Total	980	39	1019

Accuracy

100.0%

Counts

1019 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(pow.f64 (sqrt.f64 (sinh.f64 x)) #s(literal 2 binary64))
	42.2%	(/.f64 (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 120 binary64) x)) (/.f64 #s(literal 1 binary64) x))
	34.1%	(/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))) (.f64 x x)) (-.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x))
	91.4%	(/.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) x))
	57.2%	(/.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)))))))))
	35.7%	(/.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) x))
	42.2%	(/.f64 x (/.f64 (/.f64 (/.f64 #s(literal 120 binary64) x) (*.f64 x x)) x))
	42.2%	(/.f64 x (/.f64 (/.f64 #s(literal 120 binary64) x) (.f64 x (.f64 x x))))
	42.0%	(/.f64 x (/.f64 (-.f64 #s(literal 120 binary64) (/.f64 #s(literal 2400 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))
	42.2%	(/.f64 x (/.f64 #s(literal 120 binary64) (.f64 (.f64 x x) (*.f64 x x))))
✓	42.2%	(/.f64 x (/.f64 #s(literal 120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
	42.2%	(/.f64 x (.f64 (/.f64 #s(literal 120 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
	42.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 x #s(literal 120 binary64))))
	89.3%	(+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) #s(literal 120 binary64)))) x)
	42.2%	(.f64 (/.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal 120 binary64) x)) x)
	42.2%	(.f64 (/.f64 (.f64 x x) #s(literal 120 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
	42.2%	(.f64 (/.f64 (.f64 x x) #s(literal 120 binary64)) (.f64 x (.f64 x x)))
	35.7%	(.f64 (/.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x)) x)
	42.2%	(.f64 (/.f64 x #s(literal 120 binary64)) (.f64 x (.f64 x (.f64 x x))))
	42.2%	(.f64 (.f64 (/.f64 x #s(literal 120 binary64)) (.f64 x x)) (.f64 x x))
	35.7%	(.f64 (.f64 (*.f64 x #s(literal 1/6 binary64)) x) x)
	35.7%	(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
✓	35.7%	(.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
	52.1%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (+.f64 #s(literal 1/10077696 binary64) (.f64 #s(literal 1/5159780352000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)))))) (.f64 x x)) (+.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)))) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)))) #s(literal -1/216 binary64))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (+.f64 (.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))
	93.9%	(.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))))) #s(literal 1/36 binary64))))
	91.6%	(.f64 x (+.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) x))))
	89.3%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x x) #s(literal 120 binary64))))))))
	91.6%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) (/.f64 #s(literal 1 binary64) x))))))
	91.6%	(.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 #s(literal 1/5040 binary64)) (/.f64 #s(literal 1 binary64) x))))))))
✓	91.6%	(.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))))))))
	91.6%	(.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 #s(literal 1/5040 binary64)) x)))))))
	91.6%	(.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))))))))
	89.3%	(.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 #s(literal 120 binary64) x))))))))
	82.6%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 x #s(literal 6 binary64)))))
	91.6%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 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))))))))))
	42.3%	(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
✓	35.7%	(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
✓	100.0%	(sinh.f64 x)
✓	52.6%	x

Compiler

Compiled 1870 to 659 computations (64.8% saved)

regimes57.0ms (0.6%)

Counts

61 → 1

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x #s(literal 1/6 binary64)) x) 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 x (/.f64 x #s(literal 6 binary64)))))
(.f64 (/.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) x))
(.f64 x (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))))
(.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(.f64 (.f64 (/.f64 x #s(literal 120 binary64)) (.f64 x x)) (.f64 x x))
(.f64 (/.f64 x #s(literal 120 binary64)) (.f64 x (.f64 x (.f64 x x))))
(.f64 (/.f64 (.f64 x x) #s(literal 120 binary64)) (.f64 x (.f64 x x)))
(.f64 (/.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal 120 binary64) x)) x)
(/.f64 x (/.f64 #s(literal 120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 x (/.f64 #s(literal 120 binary64) (.f64 (.f64 x x) (*.f64 x x))))
(/.f64 x (/.f64 (/.f64 #s(literal 120 binary64) x) (.f64 x (.f64 x x))))
(/.f64 x (/.f64 (/.f64 (/.f64 #s(literal 120 binary64) x) (*.f64 x x)) x))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(/.f64 x (.f64 (/.f64 #s(literal 120 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(/.f64 x (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/60 binary64)))))))
(/.f64 (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 120 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x #s(literal 1/120 binary64)) x))))))
(.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 (/.f64 (.f64 x x) #s(literal 120 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
(+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)
(+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) #s(literal 120 binary64)))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 x #s(literal 120 binary64))))
(/.f64 x (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/60 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (+.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 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 120 binary64) x))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x x) #s(literal 120 binary64))))))))
(.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))))
(/.f64 x (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))))))
(/.f64 x (/.f64 (-.f64 #s(literal 120 binary64) (/.f64 #s(literal 2400 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/60 binary64))))))) #s(literal 2 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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 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))))))))))
(.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 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 #s(literal 1/5040 binary64)) x)))))))
(.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 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (/.f64 (.f64 x #s(literal 1/5040 binary64)) (/.f64 #s(literal 1 binary64) x))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) (/.f64 #s(literal 1 binary64) x))))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) x))))
(/.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) 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))))) #s(literal 1/36 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 (.f64 x x) #s(literal 1/120 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))) 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))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))) (.f64 x x)) (-.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x))
(/.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 x (.f64 x x)) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1 binary64)))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) #s(literal -1 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (+.f64 #s(literal 1/10077696 binary64) (.f64 #s(literal 1/5159780352000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)))))) (.f64 x x)) (+.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)))) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)))) #s(literal -1/216 binary64))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (+.f64 (.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))
(sinh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (sinh.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1/2 binary64)))

Outputs
(sinh.f64 x)

Calls

3 calls:

18.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
18.0ms	x
14.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))

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)

regimes20.0ms (0.2%)

Counts

56 → 2

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x #s(literal 1/6 binary64)) x) 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 x (/.f64 x #s(literal 6 binary64)))))
(.f64 (/.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) x))
(.f64 x (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))))
(.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(.f64 (.f64 (/.f64 x #s(literal 120 binary64)) (.f64 x x)) (.f64 x x))
(.f64 (/.f64 x #s(literal 120 binary64)) (.f64 x (.f64 x (.f64 x x))))
(.f64 (/.f64 (.f64 x x) #s(literal 120 binary64)) (.f64 x (.f64 x x)))
(.f64 (/.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal 120 binary64) x)) x)
(/.f64 x (/.f64 #s(literal 120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 x (/.f64 #s(literal 120 binary64) (.f64 (.f64 x x) (*.f64 x x))))
(/.f64 x (/.f64 (/.f64 #s(literal 120 binary64) x) (.f64 x (.f64 x x))))
(/.f64 x (/.f64 (/.f64 (/.f64 #s(literal 120 binary64) x) (*.f64 x x)) x))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(/.f64 x (.f64 (/.f64 #s(literal 120 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(/.f64 x (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/60 binary64)))))))
(/.f64 (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 120 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x #s(literal 1/120 binary64)) x))))))
(.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 (/.f64 (.f64 x x) #s(literal 120 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
(+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)
(+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) #s(literal 120 binary64)))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 x #s(literal 120 binary64))))
(/.f64 x (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/60 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (+.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 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 120 binary64) x))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x x) #s(literal 120 binary64))))))))
(.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))))
(/.f64 x (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))))))
(/.f64 x (/.f64 (-.f64 #s(literal 120 binary64) (/.f64 #s(literal 2400 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/60 binary64))))))) #s(literal 2 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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 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))))))))))
(.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 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 #s(literal 1/5040 binary64)) x)))))))
(.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 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (/.f64 (.f64 x #s(literal 1/5040 binary64)) (/.f64 #s(literal 1 binary64) x))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) (/.f64 #s(literal 1 binary64) x))))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) x))))
(/.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) 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))))) #s(literal 1/36 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 (.f64 x x) #s(literal 1/120 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))) 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))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))) (.f64 x x)) (-.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x))
(/.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 x (.f64 x x)) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1 binary64)))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) #s(literal -1 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (+.f64 #s(literal 1/10077696 binary64) (.f64 #s(literal 1/5159780352000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)))))) (.f64 x x)) (+.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)))) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)))) #s(literal -1/216 binary64))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (+.f64 (.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))

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 #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:

16.0ms

Results

Accuracy	Segments	Branch
96.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes18.0ms (0.2%)

Counts

52 → 1

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x #s(literal 1/6 binary64)) x) 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 x (/.f64 x #s(literal 6 binary64)))))
(.f64 (/.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) x))
(.f64 x (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))))
(.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(.f64 (.f64 (/.f64 x #s(literal 120 binary64)) (.f64 x x)) (.f64 x x))
(.f64 (/.f64 x #s(literal 120 binary64)) (.f64 x (.f64 x (.f64 x x))))
(.f64 (/.f64 (.f64 x x) #s(literal 120 binary64)) (.f64 x (.f64 x x)))
(.f64 (/.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal 120 binary64) x)) x)
(/.f64 x (/.f64 #s(literal 120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 x (/.f64 #s(literal 120 binary64) (.f64 (.f64 x x) (*.f64 x x))))
(/.f64 x (/.f64 (/.f64 #s(literal 120 binary64) x) (.f64 x (.f64 x x))))
(/.f64 x (/.f64 (/.f64 (/.f64 #s(literal 120 binary64) x) (*.f64 x x)) x))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(/.f64 x (.f64 (/.f64 #s(literal 120 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(/.f64 x (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/60 binary64)))))))
(/.f64 (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 120 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x #s(literal 1/120 binary64)) x))))))
(.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 (/.f64 (.f64 x x) #s(literal 120 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
(+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)
(+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) #s(literal 120 binary64)))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 x #s(literal 120 binary64))))
(/.f64 x (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/60 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (+.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 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 120 binary64) x))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x x) #s(literal 120 binary64))))))))
(.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))))
(/.f64 x (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))))))
(/.f64 x (/.f64 (-.f64 #s(literal 120 binary64) (/.f64 #s(literal 2400 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/60 binary64))))))) #s(literal 2 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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 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))))))))))
(.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 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 #s(literal 1/5040 binary64)) x)))))))
(.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 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (/.f64 (.f64 x #s(literal 1/5040 binary64)) (/.f64 #s(literal 1 binary64) x))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) (/.f64 #s(literal 1 binary64) x))))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) x))))
(/.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) 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))))) #s(literal 1/36 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 (.f64 x x) #s(literal 1/120 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))) 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))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))) (.f64 x x)) (-.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x))

Outputs

(*.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))))) #s(literal 1/36 binary64))))

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
93.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes17.0ms (0.2%)

Counts

48 → 1

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x #s(literal 1/6 binary64)) x) 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 x (/.f64 x #s(literal 6 binary64)))))
(.f64 (/.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) x))
(.f64 x (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))))
(.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(.f64 (.f64 (/.f64 x #s(literal 120 binary64)) (.f64 x x)) (.f64 x x))
(.f64 (/.f64 x #s(literal 120 binary64)) (.f64 x (.f64 x (.f64 x x))))
(.f64 (/.f64 (.f64 x x) #s(literal 120 binary64)) (.f64 x (.f64 x x)))
(.f64 (/.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal 120 binary64) x)) x)
(/.f64 x (/.f64 #s(literal 120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 x (/.f64 #s(literal 120 binary64) (.f64 (.f64 x x) (*.f64 x x))))
(/.f64 x (/.f64 (/.f64 #s(literal 120 binary64) x) (.f64 x (.f64 x x))))
(/.f64 x (/.f64 (/.f64 (/.f64 #s(literal 120 binary64) x) (*.f64 x x)) x))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(/.f64 x (.f64 (/.f64 #s(literal 120 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(/.f64 x (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/60 binary64)))))))
(/.f64 (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 120 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x #s(literal 1/120 binary64)) x))))))
(.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 (/.f64 (.f64 x x) #s(literal 120 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
(+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)
(+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) #s(literal 120 binary64)))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 x #s(literal 120 binary64))))
(/.f64 x (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/60 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (+.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 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 120 binary64) x))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x x) #s(literal 120 binary64))))))))
(.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))))
(/.f64 x (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))))))
(/.f64 x (/.f64 (-.f64 #s(literal 120 binary64) (/.f64 #s(literal 2400 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/60 binary64))))))) #s(literal 2 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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 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))))))))))
(.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 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 #s(literal 1/5040 binary64)) x)))))))
(.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 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (/.f64 (.f64 x #s(literal 1/5040 binary64)) (/.f64 #s(literal 1 binary64) x))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) (/.f64 #s(literal 1 binary64) x))))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) x))))
(/.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) x))

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
91.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes21.0ms (0.2%)

Counts

40 → 1

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x #s(literal 1/6 binary64)) x) 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 x (/.f64 x #s(literal 6 binary64)))))
(.f64 (/.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) x))
(.f64 x (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))))
(.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(.f64 (.f64 (/.f64 x #s(literal 120 binary64)) (.f64 x x)) (.f64 x x))
(.f64 (/.f64 x #s(literal 120 binary64)) (.f64 x (.f64 x (.f64 x x))))
(.f64 (/.f64 (.f64 x x) #s(literal 120 binary64)) (.f64 x (.f64 x x)))
(.f64 (/.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal 120 binary64) x)) x)
(/.f64 x (/.f64 #s(literal 120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 x (/.f64 #s(literal 120 binary64) (.f64 (.f64 x x) (*.f64 x x))))
(/.f64 x (/.f64 (/.f64 #s(literal 120 binary64) x) (.f64 x (.f64 x x))))
(/.f64 x (/.f64 (/.f64 (/.f64 #s(literal 120 binary64) x) (*.f64 x x)) x))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(/.f64 x (.f64 (/.f64 #s(literal 120 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(/.f64 x (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/60 binary64)))))))
(/.f64 (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 120 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x #s(literal 1/120 binary64)) x))))))
(.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 (/.f64 (.f64 x x) #s(literal 120 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
(+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)
(+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) #s(literal 120 binary64)))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 x #s(literal 120 binary64))))
(/.f64 x (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/60 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (+.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 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 120 binary64) x))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x x) #s(literal 120 binary64))))))))
(.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))))
(/.f64 x (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))))))
(/.f64 x (/.f64 (-.f64 #s(literal 120 binary64) (/.f64 #s(literal 2400 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/60 binary64))))))) #s(literal 2 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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))))))

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:

19.0ms

Results

Accuracy	Segments	Branch
91.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes14.0ms (0.1%)

Counts

38 → 1

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x #s(literal 1/6 binary64)) x) 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 x (/.f64 x #s(literal 6 binary64)))))
(.f64 (/.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) x))
(.f64 x (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))))
(.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(.f64 (.f64 (/.f64 x #s(literal 120 binary64)) (.f64 x x)) (.f64 x x))
(.f64 (/.f64 x #s(literal 120 binary64)) (.f64 x (.f64 x (.f64 x x))))
(.f64 (/.f64 (.f64 x x) #s(literal 120 binary64)) (.f64 x (.f64 x x)))
(.f64 (/.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal 120 binary64) x)) x)
(/.f64 x (/.f64 #s(literal 120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 x (/.f64 #s(literal 120 binary64) (.f64 (.f64 x x) (*.f64 x x))))
(/.f64 x (/.f64 (/.f64 #s(literal 120 binary64) x) (.f64 x (.f64 x x))))
(/.f64 x (/.f64 (/.f64 (/.f64 #s(literal 120 binary64) x) (*.f64 x x)) x))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(/.f64 x (.f64 (/.f64 #s(literal 120 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(/.f64 x (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/60 binary64)))))))
(/.f64 (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 120 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x #s(literal 1/120 binary64)) x))))))
(.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 (/.f64 (.f64 x x) #s(literal 120 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
(+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)
(+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x x) #s(literal 120 binary64)))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 x #s(literal 120 binary64))))
(/.f64 x (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/60 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (+.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 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 120 binary64) x))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x x) #s(literal 120 binary64))))))))
(.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))))
(/.f64 x (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/60 binary64)))))))
(/.f64 x (/.f64 (-.f64 #s(literal 120 binary64) (/.f64 #s(literal 2400 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/60 binary64))))))) #s(literal 2 binary64))

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
89.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts

24 → 2

Calls

Call 1

Inputs
x
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x #s(literal 1/6 binary64)) x) 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 x (/.f64 x #s(literal 6 binary64)))))
(.f64 (/.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) x))
(.f64 x (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))))
(.f64 x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(.f64 (.f64 (/.f64 x #s(literal 120 binary64)) (.f64 x x)) (.f64 x x))
(.f64 (/.f64 x #s(literal 120 binary64)) (.f64 x (.f64 x (.f64 x x))))
(.f64 (/.f64 (.f64 x x) #s(literal 120 binary64)) (.f64 x (.f64 x x)))
(.f64 (/.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal 120 binary64) x)) x)
(/.f64 x (/.f64 #s(literal 120 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 x (/.f64 #s(literal 120 binary64) (.f64 (.f64 x x) (*.f64 x x))))
(/.f64 x (/.f64 (/.f64 #s(literal 120 binary64) x) (.f64 x (.f64 x x))))
(/.f64 x (/.f64 (/.f64 (/.f64 #s(literal 120 binary64) x) (*.f64 x x)) x))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(/.f64 x (.f64 (/.f64 #s(literal 120 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(/.f64 x (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/60 binary64)))))))
(/.f64 (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 120 binary64) x)) (/.f64 #s(literal 1 binary64) x))

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
89.3%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts

20 → 2

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
89.3%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

10 → 1

Calls

Call 1

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

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
82.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
82.6%	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
52.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch4.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
3.0ms	7.535448562026624e+41	8.820366676164623e+46

Results

2.0ms

32×

valid

Compiler

Compiled 177 to 72 computations (59.3% 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)

bsearch27.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	6.001806120491402e-10	14.719811443205586

Results

20.0ms

160×

valid

Compiler

Compiled 193 to 120 computations (37.8% saved)

Precisions

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

ival-exp: 3.0ms (50.9% of total)

ival-sub: 1.0ms (17% of total)

ival-div: 1.0ms (17% of total)

ival-neg: 1.0ms (17% of total)

const: 0.0ms (0% of total)

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

bsearch29.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	6.001806120491402e-10	14.719811443205586

Results

22.0ms

160×

valid

Compiler

Compiled 173 to 110 computations (36.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-neg: 13.0ms (70.2% of total)

ival-exp: 3.0ms (16.2% of total)

ival-sub: 1.0ms (5.4% of total)

ival-div: 1.0ms (5.4% of total)

const: 0.0ms (0% of total)

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

bsearch43.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
41.0ms	6.001806120491402e-10	14.719811443205586

Results

36.0ms

160×

valid

Compiler

Compiled 133 to 90 computations (32.3% saved)

Precisions

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

ival-exp: 3.0ms (51.5% of total)

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

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

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

const: 0.0ms (0% of total)

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

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

92×	`*-commutative_binary64`
52×	`+-commutative_binary64`
28×	`sub-neg_binary64`
24×	`neg-sub0_binary64`
24×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	220
1	131	220
2	146	220
3	159	220
4	170	220
5	185	220
6	200	220
7	217	220
8	225	220
9	229	220
10	230	220

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 #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 (.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))))) #s(literal 1/36 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 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))))))))))
(.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 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x #s(literal 1/120 binary64)) x))))))
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(if (<=.f64 x #s(literal 3715469692580659/1125899906842624 binary64)) x (.f64 x (.f64 x (.f64 #s(literal 1/120 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 2758454771764429/1125899906842624 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 #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 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 #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 (.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))))) #s(literal 1/36 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 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))))))))))
(.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 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x #s(literal 1/120 binary64)) x))))))
(.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))))))))
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(if (<=.f64 x #s(literal 3715469692580659/1125899906842624 binary64)) x (.f64 x (.f64 x (.f64 #s(literal 1/120 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 2758454771764429/1125899906842624 binary64)) x (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))))
x

soundness2.5s (25.7%)

Rules

4878×	`-lowering-.f32`
4878×	`-lowering-.f64`
4320×	`-lowering-.f32`
4320×	`-lowering-.f64`
4076×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	175	2611
1	483	2254
2	1393	2222
3	4274	2122
0	9362	2122
0	7	17
1	42	13
2	301	13
0	3272	13
0	89	1512
1	298	1260
2	862	1204
3	3740	1198
4	7115	1198
0	8001	1198
0	148	2008
1	446	1731
2	1374	1705
3	4447	1677
0	8255	1677
0	74	321
1	222	288
2	670	285
3	1946	285
4	2964	285
5	5512	285
6	6306	285
0	8211	285
0	26	123
1	161	108
2	1318	106
0	8260	106
0	32	163
1	204	135
2	1577	132
0	8219	132

Stop Event

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

Compiler

Compiled 526 to 267 computations (49.2% saved)

preprocess74.0ms (0.8%)

Remove: (negabs x)
Compiler: Compiled 472 to 168 computations (64.4% saved)

Iter	Nodes	Cost
0	73	220
1	131	220
2	146	220
3	159	220
4	170	220
5	185	220
6	200	220
7	217	220
8	225	220
9	229	220
10	230	220

Iter	Nodes	Cost
0	73	220
1	131	220
2	146	220
3	159	220
4	170	220
5	185	220
6	200	220
7	217	220
8	225	220
9	229	220
10	230	220

analyze0.0ms (0%)

sample1.7s (18%)

preprocess71.0ms (0.7%)

explain126.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify47.0ms (0.5%)

localize55.0ms (0.6%)

series3.0ms (0%)

rewrite177.0ms (1.8%)

simplify187.0ms (1.9%)

eval35.0ms (0.4%)

prune37.0ms (0.4%)

simplify137.0ms (1.4%)

localize115.0ms (1.2%)

series12.0ms (0.1%)

rewrite321.0ms (3.3%)

simplify228.0ms (2.4%)

eval73.0ms (0.8%)

prune103.0ms (1.1%)

simplify222.0ms (2.3%)

localize419.0ms (4.3%)

series22.0ms (0.2%)

rewrite366.0ms (3.8%)

simplify334.0ms (3.5%)

eval246.0ms (2.5%)

prune159.0ms (1.6%)

simplify217.0ms (2.2%)

localize204.0ms (2.1%)

series9.0ms (0.1%)

rewrite397.0ms (4.1%)

simplify336.0ms (3.5%)

eval235.0ms (2.4%)

prune184.0ms (1.9%)

regimes57.0ms (0.6%)

regimes20.0ms (0.2%)

regimes18.0ms (0.2%)

regimes17.0ms (0.2%)

regimes21.0ms (0.2%)

regimes14.0ms (0.1%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes1.0ms (0%)

bsearch4.0ms (0%)

bsearch27.0ms (0.3%)

bsearch29.0ms (0.3%)

bsearch43.0ms (0.4%)

simplify17.0ms (0.2%)

soundness2.5s (25.7%)

preprocess74.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	73	220
1	131	220
2	146	220
3	159	220
4	170	220
5	185	220
6	200	220
7	217	220
8	225	220
9	229	220
10	230	220