Metrics for Hyperbolic secant

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
100%	100%	0%	0%	0%	0%	0%	2

Compiler

Compiled 10 to 8 computations (20% saved)

Precisions

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

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

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

ival-add: 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)

sample736.0ms (8.6%)

Results

532.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 369.0ms

ival-exp: 175.0ms (47.4% of total)

ival-div: 82.0ms (22.2% of total)

ival-add: 65.0ms (17.6% of total)

ival-neg: 35.0ms (9.5% of total)

const: 9.0ms (2.4% of total)

backward-pass: 3.0ms (0.8% of total)

Bogosity

preprocess53.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

128×	`fmsub-define`
120×	`fnmsub-define`
112×	`fnmadd-define`
80×	`fma-define`
80×	`fmm-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	24
1	30	24
2	61	24
3	108	24
4	191	24
5	294	24
6	384	24
7	482	24
8	523	24
9	541	24
10	565	24
11	573	24
0	7	8
1	14	8
2	21	8
3	25	8
4	34	8
5	41	8
6	49	8
7	57	8
8	60	8
9	61	8
0	61	8

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

Symmetry

(abs x)

explain67.0ms (0.8%)

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`x`
1	(104.82565209155207)	-	`(exp.f64 (neg.f64 x))`
0	-	-	`(neg.f64 x)`
0	-	-	`(exp.f64 x)`
0	-	-	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Results

37.0ms

512×

valid

Compiler

Compiled 59 to 23 computations (61% saved)

Precisions

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

ival-exp: 6.0ms (33.4% of total)

ival-neg: 4.0ms (22.3% of total)

ival-div: 3.0ms (16.7% of total)

ival-add: 3.0ms (16.7% of total)

const: 1.0ms (5.6% of total)

backward-pass: 0.0ms (0% 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
▶	100.0%	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify8.0ms (0.1%)

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 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	cost-diff	0	(exp.f64 x)

Rules

16×	`-lowering-.f32`
16×	`-lowering-.f64`
12×	`fma-lowering-fma.f32`
12×	`fma-define`
12×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
1	14	23
2	21	23
3	25	23
4	34	23
5	41	23
6	49	23
7	57	23
8	60	23
9	61	23
0	61	23

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize28.0ms (0.3%)

Localize:

Found 4 expressions of interest:

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

Results

18.0ms

256×

valid

Compiler

Compiled 25 to 8 computations (68% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-exp: 3.0ms (34.9% of total)

ival-div: 2.0ms (23.2% of total)

ival-add: 1.0ms (11.6% of total)

ival-neg: 1.0ms (11.6% of total)

const: 0.0ms (0% of total)

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

series3.0ms (0%)

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (exp x)>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (exp (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 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (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))>

Calls

12 calls:

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

rewrite358.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3916×	`-lowering-.f32`
3916×	`-lowering-.f64`
2488×	`/-lowering-/.f32`
2488×	`/-lowering-/.f64`
1922×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	37	12
2	275	12
3	2602	12
0	9652	12

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 304

Calls

Call 1

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

Outputs
(exp.f64 x)
(exp.f64 (*.f64 x #s(literal 1 binary64)))
(exp.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x)))
(exp.f64 (+.f64 (.f64 x #s(literal 3 binary64)) (.f64 x #s(literal -2 binary64))))
(/.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))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (.f64 (exp.f64 (.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))) (exp.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))) (expm1.f64 (.f64 x #s(literal -2 binary64)))))
(+.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))) (expm1.f64 (.f64 x #s(literal -2 binary64)))) (.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))) (exp.f64 (.f64 x #s(literal 2 binary64)))))
(+.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x #s(literal 2 binary64))))) (exp.f64 x)) (.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(+.f64 (.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64)))))) (.f64 (expm1.f64 (.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64)))))))
(+.f64 (.f64 (expm1.f64 (.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64)))))) (.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64)))))))
(+.f64 (.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x #s(literal 2 binary64)))))) (.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x #s(literal 2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(fma.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64)))))))
(fma.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))) (.f64 (expm1.f64 (.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))))
(fma.f64 (expm1.f64 (.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))) (.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))))
(fma.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))) (exp.f64 (.f64 x #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))) (expm1.f64 (*.f64 x #s(literal -2 binary64)))))
(fma.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))) (expm1.f64 (.f64 x #s(literal -2 binary64))) (.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x #s(literal 2 binary64))))) (exp.f64 x) (.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cosh.f64 x)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)))
(/.f64 (.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))
(/.f64 (.f64 #s(literal 4 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (pow.f64 (expm1.f64 (.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 (expm1.f64 (.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x #s(literal 2 binary64))))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x #s(literal 3 binary64))))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(/.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (pow.f64 (expm1.f64 (.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 (expm1.f64 (.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))))))
(/.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 3 binary64))))) (.f64 (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))) (+.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64))
(pow.f64 (cosh.f64 x) #s(literal -1 binary64))
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (cosh.f64 x))) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)))
(.f64 (+.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
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(*.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 (exp.f64 (.f64 x #s(literal 2 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal 1 binary64)))
(.f64 (exp.f64 (.f64 x #s(literal -1/2 binary64))) (exp.f64 (*.f64 x #s(literal -1/2 binary64))))
(.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 (exp.f64 (.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))

simplify246.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

2314×	`fma-lowering-fma.f32`
2314×	`fma-lowering-fma.f64`
2106×	`sum3-define`
1968×	`sum4-define`
1762×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	66	279
1	170	260
2	460	256
3	1283	256
4	2683	256
5	4419	256
6	7120	256
0	8043	256

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

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)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (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))

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)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 x x) #s(literal -61/720 binary64))))))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64)))))))))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) 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))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))

eval50.0ms (0.6%)

Compiler: Compiled 6779 to 1067 computations (84.3% saved)

prune41.0ms (0.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	345	7	352
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	346	7	353

Accuracy

100.0%

Counts

353 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.2%	(/.f64 (.f64 #s(literal 4 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64)))))
▶	86.4%	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
	90.4%	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))))
▶	70.9%	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
▶	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))
▶	47.1%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))))
▶	47.7%	#s(literal 1 binary64)

Compiler

Compiled 158 to 108 computations (31.6% saved)

simplify150.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
✓	cost-diff	(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
✓	cost-diff	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
✓	cost-diff	(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64))))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(+.f64 #s(literal 2 binary64) (*.f64 x x))
✓	cost-diff	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
✓	cost-diff	(cosh.f64 x)
✓	cost-diff	(/.f64 #s(literal 1 binary64) (cosh.f64 x))

Rules

2430×	`sum3-define`
2132×	`fnmadd-define`
2034×	`fma-define`
1540×	`sum4-define`
1520×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	126
1	57	114
2	161	114
3	361	108
4	480	108
5	510	108
6	523	108
7	603	108
8	1381	108
9	1796	108
10	2436	108
11	2881	108
12	3707	108
13	5360	108
14	6947	108
0	8022	108

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (cosh x))
1
(cosh x)
x
1
(/ 2 (+ 2 (* x x)))
2
(+ 2 (* x x))
(* x x)
x
(+ 1 (* (* x x) (+ -1/2 (* (* x x) 5/24))))
1
(* (* x x) (+ -1/2 (* (* x x) 5/24)))
(* x x)
x
(+ -1/2 (* (* x x) 5/24))
-1/2
(* (* x x) 5/24)
5/24
(/ 2 (+ 2 (* (* x x) (+ 1 (* (* x x) 1/12)))))
2
(+ 2 (* (* x x) (+ 1 (* (* x x) 1/12))))
(* (* x x) (+ 1 (* (* x x) 1/12)))
(* x x)
x
(+ 1 (* (* x x) 1/12))
1
(* (* x x) 1/12)
1/12

Outputs
(/ 1 (cosh x))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
1
#s(literal 1 binary64)
(cosh x)
(cosh.f64 x)
x
1
#s(literal 1 binary64)
(/ 2 (+ 2 (* x x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
2
#s(literal 2 binary64)
(+ 2 (* x x))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(* x x)
(*.f64 x x)
x
(+ 1 (* (* x x) (+ -1/2 (* (* x x) 5/24))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64))))))
1
#s(literal 1 binary64)
(* (* x x) (+ -1/2 (* (* x x) 5/24)))
(.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))))
(* x x)
(*.f64 x x)
x
(+ -1/2 (* (* x x) 5/24))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))
-1/2
#s(literal -1/2 binary64)
(* (* x x) 5/24)
(.f64 (.f64 x x) #s(literal 5/24 binary64))
5/24
#s(literal 5/24 binary64)
(/ 2 (+ 2 (* (* x x) (+ 1 (* (* x x) 1/12)))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))))
2
#s(literal 2 binary64)
(+ 2 (* (* x x) (+ 1 (* (* x x) 1/12))))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
(* (* x x) (+ 1 (* (* x x) 1/12)))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(* x x)
(*.f64 x x)
x
(+ 1 (* (* x x) 1/12))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
1
#s(literal 1 binary64)
(* (* x x) 1/12)
(.f64 (.f64 x x) #s(literal 1/12 binary64))
1/12
#s(literal 1/12 binary64)

localize122.0ms (1.4%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
✓	accuracy	99.7%	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/12 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64))))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 5/24 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) (*.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.4%	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
✓	accuracy	100.0%	(cosh.f64 x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))

Results

95.0ms

256×

valid

Compiler

Compiled 129 to 21 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-add: 32.0ms (45% of total)

ival-mult: 16.0ms (22.5% of total)

...c/correct-round.rkt:119:19: 14.0ms (19.7% of total)

ival-div: 5.0ms (7% of total)

ival-cosh: 4.0ms (5.6% of total)

const: 1.0ms (1.4% of total)

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

series11.0ms (0.1%)

Counts

13 → 156

Calls

Call 1

Inputs
#<alt (/ 1 (cosh x))>
#<alt (cosh x)>
#<alt (/ 2 (+ 2 (* x x)))>
#<alt (+ 2 (* x x))>
#<alt (* x x)>
#<alt (+ 1 (* (* x x) (+ -1/2 (* (* x x) 5/24))))>
#<alt (* (* x x) (+ -1/2 (* (* x x) 5/24)))>
#<alt (+ -1/2 (* (* x x) 5/24))>
#<alt (/ 2 (+ 2 (* (* x x) (+ 1 (* (* x x) 1/12)))))>
#<alt (+ 2 (* (* x x) (+ 1 (* (* x x) 1/12))))>
#<alt (* (* x x) (+ 1 (* (* x x) 1/12)))>
#<alt (* (* x x) 5/24)>
#<alt (* (* x x) 1/12)>

Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<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 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/8 (pow x 2)))) 1/2)))>
#<alt (/ 2 (pow x 2))>
#<alt (/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (* 5/24 (pow x 4))>
#<alt (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 5/24 (pow x 4))>
#<alt (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))>
#<alt (* 5/24 (pow x 4))>
#<alt (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 5/24 (pow x 4))>
#<alt (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt -1/2>
#<alt (- (* 5/24 (pow x 2)) 1/2)>
#<alt (- (* 5/24 (pow x 2)) 1/2)>
#<alt (- (* 5/24 (pow x 2)) 1/2)>
#<alt (* 5/24 (pow x 2))>
#<alt (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 5/24 (pow x 2))>
#<alt (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -1/12 (pow x 2)))) 1/2)))>
#<alt (/ 24 (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 5/24 (pow x 2))>
#<alt (* 5/24 (pow x 2))>
#<alt (* 5/24 (pow x 2))>
#<alt (* 5/24 (pow x 2))>
#<alt (* 5/24 (pow x 2))>
#<alt (* 5/24 (pow x 2))>
#<alt (* 5/24 (pow x 2))>
#<alt (* 5/24 (pow x 2))>
#<alt (* 5/24 (pow x 2))>
#<alt (* 5/24 (pow x 2))>
#<alt (* 5/24 (pow x 2))>
#<alt (* 5/24 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>

Calls

39 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/ 1 (cosh x))
2.0ms	x	@	inf	(/ 2 (+ 2 (* (* x x) (+ 1 (* (* x x) 1/12)))))
1.0ms	x	@	-inf	(/ 1 (cosh x))
0.0ms	x	@	inf	(+ 1 (* (* x x) (+ -1/2 (* (* x x) 5/24))))
0.0ms	x	@	inf	(* (* x x) (+ -1/2 (* (* x x) 5/24)))

rewrite364.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3566×	`-lowering-.f32`
3566×	`-lowering-.f64`
3524×	`/-lowering-/.f32`
3524×	`/-lowering-/.f64`
1822×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	100
1	141	86
2	1212	83
0	8242	83

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 387

Calls

Call 1

Inputs
(/ 1 (cosh x))
(cosh x)
(/ 2 (+ 2 (* x x)))
(+ 2 (* x x))
(* x x)
(+ 1 (* (* x x) (+ -1/2 (* (* x x) 5/24))))
(* (* x x) (+ -1/2 (* (* x x) 5/24)))
(+ -1/2 (* (* x x) 5/24))
(/ 2 (+ 2 (* (* x x) (+ 1 (* (* x x) 1/12)))))
(+ 2 (* (* x x) (+ 1 (* (* x x) 1/12))))
(* (* x x) (+ 1 (* (* x x) 1/12)))
(* (* x x) 5/24)
(* (* x x) 1/12)

Outputs
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cosh.f64 x)))
(/.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(pow.f64 (cosh.f64 x) #s(literal -1 binary64))
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (cosh.f64 x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64))
(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(exp.f64 (neg.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cosh.f64 x)))
(-.f64 #s(literal 0 binary64) (/.f64 (cosh.f64 x) #s(literal -1 binary64)))
(cosh.f64 x)
(neg.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64)))
(/.f64 (cosh.f64 x) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x))))
(/.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 x)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64))
(pow.f64 (cosh.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (cosh.f64 x))
(*.f64 (cosh.f64 x) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cosh.f64 x)))
(*.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 x)) #s(literal -1 binary64))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -1/2 binary64))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal -2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (*.f64 x x))))
(neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -2 binary64)))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -2 binary64))))
(/.f64 #s(literal -2 binary64) (-.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))))))) (.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 16 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))))))
(/.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64)))))) (.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (-.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))))
(/.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (-.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2 binary64) (*.f64 x x))))
(/.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (-.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 4 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 #s(literal 2 binary64) (*.f64 x x))))))
(pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -2 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -2 binary64) (.f64 x x))))
(.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (.f64 x x))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (.f64 x x))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal -2 binary64)))))
(.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (.f64 x x))))
(.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (.f64 x x))) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))))
(.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x))))) (-.f64 #s(literal 2 binary64) (*.f64 x x)))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -2 binary64)) #s(literal -1/2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(+.f64 (*.f64 x x) #s(literal 2 binary64))
(+.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (.f64 x x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 2 binary64) (*.f64 x x)))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (.f64 x x))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 2 binary64) (*.f64 x x))))
(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (*.f64 x x) #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 x x #s(literal 2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 2 binary64))
(neg.f64 (-.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) #s(literal -2 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -4 binary64))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64)))))
(/.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 2 binary64) (.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (neg.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 2 binary64) (.f64 x x))))
(/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -4 binary64)) (+.f64 (.f64 x x) #s(literal -2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (-.f64 #s(literal 2 binary64) (.f64 x x))))
(/.f64 (.f64 (+.f64 #s(literal 512 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 64 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 16 binary64) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 #s(literal 2 binary64) (*.f64 x x))))
(/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 2 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 2 binary64) (.f64 x x)))))
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(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(fma.f64 x x (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))) (.f64 x x))
(fma.f64 x (.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x x)) (.f64 x x))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x))
(fma.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x))) (.f64 x x))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) (.f64 x x))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/12 binary64) (.f64 x x))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/12 binary64)) (.f64 x x))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) x) x (.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64))) (.f64 x x))))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))))
(/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64))))) (-.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (+.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal -1 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)))) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (+.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal -1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64))) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (neg.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))))))
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(/.f64 (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (+.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)))) (.f64 x x))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (+.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64))) (.f64 x x))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
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(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) x)
(.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))))
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(.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal -1 binary64))))))
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(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal -1 binary64))))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(.f64 x (.f64 x #s(literal 5/24 binary64)))
(.f64 (.f64 x x) #s(literal 5/24 binary64))
(.f64 #s(literal 5/24 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 5/24 binary64)) x)
(.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(.f64 #s(literal 1/12 binary64) (.f64 x x))
(.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x #s(literal 1/12 binary64)) x)

simplify244.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

2138×	`-lowering-.f32`
2138×	`-lowering-.f64`
1906×	`sum3-define`
1508×	`fma-lowering-fma.f32`
1508×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	119	1222
1	330	1167
2	931	1151
3	2796	1118
4	5692	1118
0	8132	1118

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 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))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/8 (pow x 2)))) 1/2)))
(/ 2 (pow x 2))
(/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))
(/ 2 (pow x 2))
(/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))
2
(+ 2 (pow x 2))
(+ 2 (pow x 2))
(+ 2 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(* 5/24 (pow x 4))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* 5/24 (pow x 4))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))
(* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))
(* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))
(* 5/24 (pow x 4))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* 5/24 (pow x 4))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
-1/2
(- (* 5/24 (pow x 2)) 1/2)
(- (* 5/24 (pow x 2)) 1/2)
(- (* 5/24 (pow x 2)) 1/2)
(* 5/24 (pow x 2))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* 5/24 (pow x 2))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -1/12 (pow x 2)))) 1/2)))
(/ 24 (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))
(/ 24 (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* 5/24 (pow x 2))
(* 5/24 (pow x 2))
(* 5/24 (pow x 2))
(* 5/24 (pow x 2))
(* 5/24 (pow x 2))
(* 5/24 (pow x 2))
(* 5/24 (pow x 2))
(* 5/24 (pow x 2))
(* 5/24 (pow x 2))
(* 5/24 (pow x 2))
(* 5/24 (pow x 2))
(* 5/24 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 x x) #s(literal -61/720 binary64))))))))
(/ 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))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 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
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(+ 1 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/4 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/8 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))))))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (.f64 x x))) (.f64 x x))
(/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) x) (.f64 x (.f64 x x))) (/.f64 #s(literal -4 binary64) (.f64 x x)))) (.f64 x x))
(/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (.f64 x x))) (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) x) (.f64 x (.f64 x x))) (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 6 binary64))))) (.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (.f64 x x))) (.f64 x x))
(/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) x) (.f64 x (.f64 x x))) (/.f64 #s(literal -4 binary64) (.f64 x x)))) (.f64 x x))
(/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (.f64 x x))) (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) x) (.f64 x (.f64 x x))) (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 6 binary64))))) (.f64 x x))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(+ 2 (pow x 2))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(+ 2 (pow x 2))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64))))))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64))))))
(* 5/24 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 5/24 binary64))))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))))
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64))))))
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64))))))
(* 5/24 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 5/24 binary64))))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))))
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64))))))
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64))))))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))
(.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))))
(* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))
(.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))))
(* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))
(.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))))
(* 5/24 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 5/24 binary64))))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))))
(* 5/24 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 5/24 binary64))))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))))
-1/2
#s(literal -1/2 binary64)
(- (* 5/24 (pow x 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))
(- (* 5/24 (pow x 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))
(- (* 5/24 (pow x 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))
(* 5/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 5/24 binary64))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))
(* 5/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 5/24 binary64))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -1/12 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 x x) #s(literal -1/12 binary64)))))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 24 binary64) (+.f64 (/.f64 #s(literal 2880 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -288 binary64) (.f64 x x)))) (.f64 x (.f64 x (*.f64 x x))))
(/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))
(/.f64 (+.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 2880 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -27648 binary64) (pow.f64 x #s(literal 6 binary64))))) (.f64 x (.f64 x (*.f64 x x))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 24 binary64) (+.f64 (/.f64 #s(literal 2880 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -288 binary64) (.f64 x x)))) (.f64 x (.f64 x (*.f64 x x))))
(/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))
(/.f64 (+.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 2880 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -27648 binary64) (pow.f64 x #s(literal 6 binary64))))) (.f64 x (.f64 x (*.f64 x x))))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(* 1/12 (pow x 4))
(.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(* 1/12 (pow x 4))
(.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* 1/12 (pow x 4))
(.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* 1/12 (pow x 4))
(.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* 5/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 5/24 binary64))
(* 5/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 5/24 binary64))
(* 5/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 5/24 binary64))
(* 5/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 5/24 binary64))
(* 5/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 5/24 binary64))
(* 5/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 5/24 binary64))
(* 5/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 5/24 binary64))
(* 5/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 5/24 binary64))
(* 5/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 5/24 binary64))
(* 5/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 5/24 binary64))
(* 5/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 5/24 binary64))
(* 5/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 5/24 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))

eval88.0ms (1%)

Compiler: Compiled 16558 to 1516 computations (90.8% saved)

prune67.0ms (0.8%)

Pruning

18 alts after pruning (14 fresh and 4 done)

	Pruned	Kept	Total
New	611	12	623
Fresh	0	2	2
Picked	1	4	5
Done	0	0	0
Total	612	18	630

Accuracy

100.0%

Counts

630 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.0%	(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
	47.2%	(/.f64 (.f64 #s(literal 4 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64)))))
	46.8%	(/.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64)))))) (.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (-.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))))
▶	46.8%	(/.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))))))) (.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 16 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))))))
	42.3%	(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
	47.2%	(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
	47.6%	(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 4 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))) (-.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))))
▶	48.0%	(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 2 binary64) (*.f64 x x)))))
	47.5%	(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (+.f64 #s(literal 512 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 64 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
	90.4%	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))))
✓	70.9%	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
▶	42.2%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
	42.0%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))))
▶	26.7%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
▶	90.4%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))))
✓	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))
✓	47.1%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))))
✓	47.7%	#s(literal 1 binary64)

Compiler

Compiled 1085 to 418 computations (61.5% saved)

simplify213.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	640	(-.f64 (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))))
✓	cost-diff	640	(+.f64 #s(literal 16 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))))
✓	cost-diff	640	(.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 16 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
✓	cost-diff	640	(/.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))))))) (.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 16 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))))))
✓	cost-diff	0	(-.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))
✓	cost-diff	128	(.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64))
✓	cost-diff	128	(/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 2 binary64) (*.f64 x x))))
✓	cost-diff	128	(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 2 binary64) (*.f64 x x)))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))))

Rules

4206×	`-lowering-.f32`
4206×	`-lowering-.f64`
2714×	`+-lowering-+.f64`
2714×	`+-lowering-+.f32`
2040×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	520
1	192	445
2	738	416
3	4086	416
0	8540	416

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (+ 1 (* (* x x) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))))
1
(+ 1 (* (* x x) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720)))))))
(* (* x x) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))
(* x x)
x
(+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720)))))
1/2
(* x (* x (+ 1/24 (* (* x x) 1/720))))
(* x (+ 1/24 (* (* x x) 1/720)))
(+ 1/24 (* (* x x) 1/720))
1/24
(* (* x x) 1/720)
1/720
(/ 2 (* x x))
2
(* x x)
x
(/ 2 (* (* x x) (+ 1 (* (* x x) 1/12))))
2
(* (* x x) (+ 1 (* (* x x) 1/12)))
(* x x)
x
(+ 1 (* (* x x) 1/12))
1
(* (* x x) 1/12)
1/12
(/ 2 (/ (* (- 16 (* (* x (* x (* x x))) (* x (* x (* x x))))) 1) (* (+ 4 (* x (* x (* x x)))) (- 2 (* x x)))))
2
(/ (* (- 16 (* (* x (* x (* x x))) (* x (* x (* x x))))) 1) (* (+ 4 (* x (* x (* x x)))) (- 2 (* x x))))
(* (- 16 (* (* x (* x (* x x))) (* x (* x (* x x))))) 1)
(- 16 (* (* x (* x (* x x))) (* x (* x (* x x)))))
16
(* (* x (* x (* x x))) (* x (* x (* x x))))
(* x (* x (* x x)))
x
(* x (* x x))
(* x x)
1
(* (+ 4 (* x (* x (* x x)))) (- 2 (* x x)))
(+ 4 (* x (* x (* x x))))
4
(- 2 (* x x))
(/ (* 2 (+ 64 (* (* (* x x) (+ (* x x) -2)) (* (* (* x x) (+ (* x x) -2)) (* (* x x) (+ (* x x) -2)))))) (* (+ 8 (* (* x x) (* x (* x (* x x))))) (+ 16 (- (* (* (* x x) (+ (* x x) -2)) (* (* x x) (+ (* x x) -2))) (* 4 (* (* x x) (+ (* x x) -2)))))))
(* 2 (+ 64 (* (* (* x x) (+ (* x x) -2)) (* (* (* x x) (+ (* x x) -2)) (* (* x x) (+ (* x x) -2))))))
2
(+ 64 (* (* (* x x) (+ (* x x) -2)) (* (* (* x x) (+ (* x x) -2)) (* (* x x) (+ (* x x) -2)))))
64
(* (* (* x x) (+ (* x x) -2)) (* (* (* x x) (+ (* x x) -2)) (* (* x x) (+ (* x x) -2))))
(* (* x x) (+ (* x x) -2))
(* x x)
x
(+ (* x x) -2)
-2
(* (* (* x x) (+ (* x x) -2)) (* (* x x) (+ (* x x) -2)))
(* (+ 8 (* (* x x) (* x (* x (* x x))))) (+ 16 (- (* (* (* x x) (+ (* x x) -2)) (* (* x x) (+ (* x x) -2))) (* 4 (* (* x x) (+ (* x x) -2))))))
(+ 8 (* (* x x) (* x (* x (* x x)))))
8
(* (* x x) (* x (* x (* x x))))
(* x (* x (* x x)))
(* x (* x x))
(+ 16 (- (* (* (* x x) (+ (* x x) -2)) (* (* x x) (+ (* x x) -2))) (* 4 (* (* x x) (+ (* x x) -2)))))
16
(- (* (* (* x x) (+ (* x x) -2)) (* (* x x) (+ (* x x) -2))) (* 4 (* (* x x) (+ (* x x) -2))))
(* 4 (* (* x x) (+ (* x x) -2)))
4

Outputs
(/ 1 (+ 1 (* (* x x) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))))))
1
#s(literal 1 binary64)
(+ 1 (* (* x x) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))
(* (* x x) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))))
(* x x)
(*.f64 x x)
x
(+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720)))))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))
1/2
#s(literal 1/2 binary64)
(* x (* x (+ 1/24 (* (* x x) 1/720))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))
(* x (+ 1/24 (* (* x x) 1/720)))
(.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(+ 1/24 (* (* x x) 1/720))
(+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))
1/24
#s(literal 1/24 binary64)
(* (* x x) 1/720)
(.f64 (.f64 x x) #s(literal 1/720 binary64))
1/720
#s(literal 1/720 binary64)
(/ 2 (* x x))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
2
#s(literal 2 binary64)
(* x x)
(*.f64 x x)
x
(/ 2 (* (* x x) (+ 1 (* (* x x) 1/12))))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
2
#s(literal 2 binary64)
(* (* x x) (+ 1 (* (* x x) 1/12)))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(* x x)
(*.f64 x x)
x
(+ 1 (* (* x x) 1/12))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
1
#s(literal 1 binary64)
(* (* x x) 1/12)
(.f64 (.f64 x x) #s(literal 1/12 binary64))
1/12
#s(literal 1/12 binary64)
(/ 2 (/ (* (- 16 (* (* x (* x (* x x))) (* x (* x (* x x))))) 1) (* (+ 4 (* x (* x (* x x)))) (- 2 (* x x)))))
(.f64 (-.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4 binary64))) (-.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))))
2
#s(literal 2 binary64)
(/ (* (- 16 (* (* x (* x (* x x))) (* x (* x (* x x))))) 1) (* (+ 4 (* x (* x (* x x)))) (- 2 (* x x))))
(/.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4 binary64)) (-.f64 #s(literal 2 binary64) (.f64 x x))))
(* (- 16 (* (* x (* x (* x x))) (* x (* x (* x x))))) 1)
(-.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))
(- 16 (* (* x (* x (* x x))) (* x (* x (* x x)))))
(-.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))
16
#s(literal 16 binary64)
(* (* x (* x (* x x))) (* x (* x (* x x))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
x
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
1
#s(literal 1 binary64)
(* (+ 4 (* x (* x (* x x)))) (- 2 (* x x)))
(.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4 binary64)) (-.f64 #s(literal 2 binary64) (*.f64 x x)))
(+ 4 (* x (* x (* x x))))
(+.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(- 2 (* x x))
(-.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (* 2 (+ 64 (* (* (* x x) (+ (* x x) -2)) (* (* (* x x) (+ (* x x) -2)) (* (* x x) (+ (* x x) -2)))))) (* (+ 8 (* (* x x) (* x (* x (* x x))))) (+ 16 (- (* (* (* x x) (+ (* x x) -2)) (* (* x x) (+ (* x x) -2))) (* 4 (* (* x x) (+ (* x x) -2)))))))
(/.f64 (+.f64 #s(literal 128 binary64) (.f64 (.f64 x x) (.f64 (+.f64 (.f64 x x) #s(literal -2 binary64)) (.f64 (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal -2 binary64)))) (.f64 x (.f64 (.f64 x (+.f64 (.f64 x x) #s(literal -2 binary64))) #s(literal 2 binary64))))))) (.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal -2 binary64)))) (+.f64 (.f64 x (.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))) #s(literal -4 binary64))))))
(* 2 (+ 64 (* (* (* x x) (+ (* x x) -2)) (* (* (* x x) (+ (* x x) -2)) (* (* x x) (+ (* x x) -2))))))
(+.f64 #s(literal 128 binary64) (.f64 (.f64 x x) (.f64 (+.f64 (.f64 x x) #s(literal -2 binary64)) (.f64 (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal -2 binary64)))) (.f64 x (.f64 (.f64 x (+.f64 (.f64 x x) #s(literal -2 binary64))) #s(literal 2 binary64)))))))
2
#s(literal 2 binary64)
(+ 64 (* (* (* x x) (+ (* x x) -2)) (* (* (* x x) (+ (* x x) -2)) (* (* x x) (+ (* x x) -2)))))
(+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 (+.f64 (.f64 x x) #s(literal -2 binary64)) (+.f64 (.f64 x x) #s(literal -2 binary64)))) (.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))
64
#s(literal 64 binary64)
(* (* (* x x) (+ (* x x) -2)) (* (* (* x x) (+ (* x x) -2)) (* (* x x) (+ (* x x) -2))))
(.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 (+.f64 (.f64 x x) #s(literal -2 binary64)) (+.f64 (.f64 x x) #s(literal -2 binary64)))) (.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))
(* (* x x) (+ (* x x) -2))
(.f64 x (.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))
(* x x)
(*.f64 x x)
x
(+ (* x x) -2)
(+.f64 (*.f64 x x) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(* (* (* x x) (+ (* x x) -2)) (* (* x x) (+ (* x x) -2)))
(.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 (.f64 x x) #s(literal -2 binary64)) (+.f64 (*.f64 x x) #s(literal -2 binary64))))
(* (+ 8 (* (* x x) (* x (* x (* x x))))) (+ 16 (- (* (* (* x x) (+ (* x x) -2)) (* (* x x) (+ (* x x) -2))) (* 4 (* (* x x) (+ (* x x) -2))))))
(.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal -2 binary64)))) (+.f64 (.f64 x (.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))) #s(literal -4 binary64)))))
(+ 8 (* (* x x) (* x (* x (* x x)))))
(+.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
8
#s(literal 8 binary64)
(* (* x x) (* x (* x (* x x))))
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
(* x (* x x))
(.f64 x (.f64 x x))
(+ 16 (- (* (* (* x x) (+ (* x x) -2)) (* (* x x) (+ (* x x) -2))) (* 4 (* (* x x) (+ (* x x) -2)))))
(+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal -2 binary64)))) (+.f64 (.f64 x (.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))) #s(literal -4 binary64))))
16
#s(literal 16 binary64)
(- (* (* (* x x) (+ (* x x) -2)) (* (* x x) (+ (* x x) -2))) (* 4 (* (* x x) (+ (* x x) -2))))
(.f64 (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal -2 binary64)))) (+.f64 (.f64 x (.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))) #s(literal -4 binary64)))
(* 4 (* (* x x) (+ (* x x) -2)))
(.f64 x (.f64 #s(literal 4 binary64) (.f64 x (+.f64 (.f64 x x) #s(literal -2 binary64)))))
4
#s(literal 4 binary64)

localize251.0ms (2.9%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))
✓	accuracy	99.9%	(.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))
✓	accuracy	68.2%	(-.f64 (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))))
✓	accuracy	53.9%	(/.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))))))) (.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 16 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))))))
✓	accuracy	99.9%	(.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.4%	(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 2 binary64) (*.f64 x x)))))
✓	accuracy	60.7%	(/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 2 binary64) (*.f64 x x))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/12 binary64))
✓	accuracy	99.6%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.3%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))))
✓	accuracy	99.9%	(.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 1/720 binary64))
✓	accuracy	99.7%	(.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/720 binary64))))

Results

145.0ms

256×

valid

Compiler

Compiled 712 to 50 computations (93% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-mult: 33.0ms (35.2% of total)

ival-sub: 25.0ms (26.7% of total)

ival-add: 14.0ms (14.9% of total)

ival-div: 10.0ms (10.7% of total)

...c/correct-round.rkt:119:19: 10.0ms (10.7% of total)

const: 1.0ms (1.1% of total)

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

series21.0ms (0.2%)

Counts

24 → 288

Calls

Call 1

Inputs
#<alt (/ 1 (+ 1 (* (* x x) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))))>
#<alt (+ 1 (* (* x x) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720)))))))>
#<alt (* (* x x) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))>
#<alt (* x x)>
#<alt (/ 2 (* x x))>
#<alt (/ 2 (* (* x x) (+ 1 (* (* x x) 1/12))))>
#<alt (* (* x x) (+ 1 (* (* x x) 1/12)))>
#<alt (+ 1 (* (* x x) 1/12))>
#<alt (/ 2 (/ (* (- 16 (* (* x (* x (* x x))) (* x (* x (* x x))))) 1) (* (+ 4 (* x (* x (* x x)))) (- 2 (* x x)))))>
#<alt (/ (* (- 16 (* (* x (* x (* x x))) (* x (* x (* x x))))) 1) (* (+ 4 (* x (* x (* x x)))) (- 2 (* x x))))>
#<alt (* (- 16 (* (* x (* x (* x x))) (* x (* x (* x x))))) 1)>
#<alt (- 16 (* (* x (* x (* x x))) (* x (* x (* x x)))))>
#<alt (/ (* 2 (+ 64 (* (* (* x x) (+ (* x x) -2)) (* (* (* x x) (+ (* x x) -2)) (* (* x x) (+ (* x x) -2)))))) (* (+ 8 (* (* x x) (* x (* x (* x x))))) (+ 16 (- (* (* (* x x) (+ (* x x) -2)) (* (* x x) (+ (* x x) -2))) (* 4 (* (* x x) (+ (* x x) -2)))))))>
#<alt (* (+ 8 (* (* x x) (* x (* x (* x x))))) (+ 16 (- (* (* (* x x) (+ (* x x) -2)) (* (* x x) (+ (* x x) -2))) (* 4 (* (* x x) (+ (* x x) -2))))))>
#<alt (+ 16 (- (* (* (* x x) (+ (* x x) -2)) (* (* x x) (+ (* x x) -2))) (* 4 (* (* x x) (+ (* x x) -2)))))>
#<alt (- (* (* (* x x) (+ (* x x) -2)) (* (* x x) (+ (* x x) -2))) (* 4 (* (* x x) (+ (* x x) -2))))>
#<alt (* x (+ 1/24 (* (* x x) 1/720)))>
#<alt (* (* x x) 1/720)>
#<alt (* x (* x (+ 1/24 (* (* x x) 1/720))))>
#<alt (* (* x x) 1/12)>
#<alt (* x (* x x))>
#<alt (* (* x (* x (* x x))) (* x (* x (* x x))))>
#<alt (* (* x x) (+ (* x x) -2))>
#<alt (* (* (* x x) (+ (* x x) -2)) (* (* x x) (+ (* x x) -2)))>

Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ (+ 2 (* -1/6 (pow x 2))) (pow x 2))>
#<alt (/ (+ 2 (* (pow x 2) (- (* 1/72 (pow x 2)) 1/6))) (pow x 2))>
#<alt (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/72 (* -1/864 (pow x 2)))) 1/6))) (pow x 2))>
#<alt (/ 24 (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 3456 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 3456 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 41472 (/ 1 (pow x 6))))) (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 3456 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 3456 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 41472 (/ 1 (pow x 6))))) (pow x 4))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/8 (pow x 2)))) 1/2)))>
#<alt (/ 2 (pow x 2))>
#<alt (/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt 16>
#<alt 16>
#<alt (+ 16 (* -1 (pow x 8)))>
#<alt (+ 16 (* -1 (pow x 8)))>
#<alt (* -1 (pow x 8))>
#<alt (* -1 (pow x 8))>
#<alt (* (pow x 8) (- (* 16 (/ 1 (pow x 8))) 1))>
#<alt (* (pow x 8) (- (* 16 (/ 1 (pow x 8))) 1))>
#<alt (* -1 (pow x 8))>
#<alt (* -1 (pow x 8))>
#<alt (* (pow x 8) (- (* 16 (/ 1 (pow x 8))) 1))>
#<alt (* (pow x 8) (- (* 16 (/ 1 (pow x 8))) 1))>
#<alt 16>
#<alt 16>
#<alt (+ 16 (* -1 (pow x 8)))>
#<alt (+ 16 (* -1 (pow x 8)))>
#<alt (* -1 (pow x 8))>
#<alt (* -1 (pow x 8))>
#<alt (* (pow x 8) (- (* 16 (/ 1 (pow x 8))) 1))>
#<alt (* (pow x 8) (- (* 16 (/ 1 (pow x 8))) 1))>
#<alt (* -1 (pow x 8))>
#<alt (* -1 (pow x 8))>
#<alt (* (pow x 8) (- (* 16 (/ 1 (pow x 8))) 1))>
#<alt (* (pow x 8) (- (* 16 (/ 1 (pow x 8))) 1))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/8 (pow x 2)))) 1/2)))>
#<alt (/ 2 (pow x 2))>
#<alt (/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))>
#<alt 128>
#<alt (+ 128 (* 64 (pow x 2)))>
#<alt (+ 128 (* (pow x 2) (+ 64 (* -16 (pow x 4)))))>
#<alt (+ 128 (* (pow x 2) (+ 64 (* (pow x 4) (- (* 16 (pow x 2)) 16)))))>
#<alt (pow x 14)>
#<alt (* (pow x 14) (- 1 (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 14) (- (+ 1 (/ 16 (pow x 6))) (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 14) (- (+ 1 (/ 16 (pow x 6))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 8))))))>
#<alt (pow x 14)>
#<alt (* (pow x 14) (- 1 (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 14) (- (+ 1 (/ 16 (pow x 6))) (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 14) (- (+ 1 (/ 16 (pow x 6))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 8))))))>
#<alt 16>
#<alt (+ 16 (* 8 (pow x 2)))>
#<alt (+ 16 (* (pow x 2) (+ 8 (* -4 (pow x 4)))))>
#<alt (+ 16 (* (pow x 2) (+ 8 (* (pow x 4) (- (pow x 2) 4)))))>
#<alt (pow x 8)>
#<alt (* (pow x 8) (- 1 (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1 (/ 8 (pow x 6))) (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1 (+ (* 16 (/ 1 (pow x 8))) (/ 8 (pow x 6)))) (* 4 (/ 1 (pow x 2)))))>
#<alt (pow x 8)>
#<alt (* (pow x 8) (- 1 (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1 (/ 8 (pow x 6))) (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1 (+ (* 16 (/ 1 (pow x 8))) (/ 8 (pow x 6)))) (* 4 (/ 1 (pow x 2)))))>
#<alt (* 8 (pow x 2))>
#<alt (* (pow x 2) (+ 8 (* -4 (pow x 4))))>
#<alt (* (pow x 2) (+ 8 (* (pow x 4) (- (pow x 2) 4))))>
#<alt (* (pow x 2) (+ 8 (* (pow x 4) (- (pow x 2) 4))))>
#<alt (pow x 8)>
#<alt (* (pow x 8) (- 1 (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1 (/ 8 (pow x 6))) (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1 (/ 8 (pow x 6))) (* 4 (/ 1 (pow x 2)))))>
#<alt (pow x 8)>
#<alt (* (pow x 8) (- 1 (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1 (/ 8 (pow x 6))) (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1 (/ 8 (pow x 6))) (* 4 (/ 1 (pow x 2)))))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* x (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* x (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* 1/720 (pow x 3))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/720 (pow x 3))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* 1/720 (pow x 4))>
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/720 (pow x 4))>
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (pow x 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 8)>
#<alt (pow x 8)>
#<alt (pow x 8)>
#<alt (pow x 8)>
#<alt (pow x 8)>
#<alt (pow x 8)>
#<alt (pow x 8)>
#<alt (pow x 8)>
#<alt (pow x 8)>
#<alt (pow x 8)>
#<alt (pow x 8)>
#<alt (pow x 8)>
#<alt (* -2 (pow x 2))>
#<alt (* (pow x 2) (- (pow x 2) 2))>
#<alt (* (pow x 2) (- (pow x 2) 2))>
#<alt (* (pow x 2) (- (pow x 2) 2))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* 4 (pow x 4))>
#<alt (* (pow x 4) (+ 4 (* -4 (pow x 2))))>
#<alt (* (pow x 4) (+ 4 (* (pow x 2) (- (pow x 2) 4))))>
#<alt (* (pow x 4) (+ 4 (* (pow x 2) (- (pow x 2) 4))))>
#<alt (pow x 8)>
#<alt (* (pow x 8) (- 1 (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1 (/ 4 (pow x 4))) (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1 (/ 4 (pow x 4))) (* 4 (/ 1 (pow x 2)))))>
#<alt (pow x 8)>
#<alt (* (pow x 8) (- 1 (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1 (/ 4 (pow x 4))) (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1 (/ 4 (pow x 4))) (* 4 (/ 1 (pow x 2)))))>

Calls

72 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(/ (* 2 (+ 64 (* (* (* x x) (+ (* x x) -2)) (* (* (* x x) (+ (* x x) -2)) (* (* x x) (+ (* x x) -2)))))) (* (+ 8 (* (* x x) (* x (* x (* x x))))) (+ 16 (- (* (* (* x x) (+ (* x x) -2)) (* (* x x) (+ (* x x) -2))) (* 4 (* (* x x) (+ (* x x) -2)))))))
1.0ms	x	@	inf	(/ (* (- 16 (* (* x (* x (* x x))) (* x (* x (* x x))))) 1) (* (+ 4 (* x (* x (* x x)))) (- 2 (* x x))))
1.0ms	x	@	inf	(/ 1 (+ 1 (* (* x x) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))))
1.0ms	x	@	inf	(/ (* 2 (+ 64 (* (* (* x x) (+ (* x x) -2)) (* (* (* x x) (+ (* x x) -2)) (* (* x x) (+ (* x x) -2)))))) (* (+ 8 (* (* x x) (* x (* x (* x x))))) (+ 16 (- (* (* (* x x) (+ (* x x) -2)) (* (* x x) (+ (* x x) -2))) (* 4 (* (* x x) (+ (* x x) -2)))))))
0.0ms	x	@	0	(/ (* (- 16 (* (* x (* x (* x x))) (* x (* x (* x x))))) 1) (* (+ 4 (* x (* x (* x x)))) (- 2 (* x x))))

rewrite310.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3780×	`-lowering-.f32`
3780×	`-lowering-.f64`
1842×	`pow-lowering-pow.f64`
1842×	`pow-lowering-pow.f32`
1594×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	336
1	389	262
2	3591	256
0	8294	256

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 553

Calls

Call 1

Inputs
(/ 1 (+ 1 (* (* x x) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))))
(+ 1 (* (* x x) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720)))))))
(* (* x x) (+ 1/2 (* x (* x (+ 1/24 (* (* x x) 1/720))))))
(* x x)
(/ 2 (* x x))
(/ 2 (* (* x x) (+ 1 (* (* x x) 1/12))))
(* (* x x) (+ 1 (* (* x x) 1/12)))
(+ 1 (* (* x x) 1/12))
(/ 2 (/ (* (- 16 (* (* x (* x (* x x))) (* x (* x (* x x))))) 1) (* (+ 4 (* x (* x (* x x)))) (- 2 (* x x)))))
(/ (* (- 16 (* (* x (* x (* x x))) (* x (* x (* x x))))) 1) (* (+ 4 (* x (* x (* x x)))) (- 2 (* x x))))
(* (- 16 (* (* x (* x (* x x))) (* x (* x (* x x))))) 1)
(- 16 (* (* x (* x (* x x))) (* x (* x (* x x)))))
(/ (* 2 (+ 64 (* (* (* x x) (+ (* x x) -2)) (* (* (* x x) (+ (* x x) -2)) (* (* x x) (+ (* x x) -2)))))) (* (+ 8 (* (* x x) (* x (* x (* x x))))) (+ 16 (- (* (* (* x x) (+ (* x x) -2)) (* (* x x) (+ (* x x) -2))) (* 4 (* (* x x) (+ (* x x) -2)))))))
(* (+ 8 (* (* x x) (* x (* x (* x x))))) (+ 16 (- (* (* (* x x) (+ (* x x) -2)) (* (* x x) (+ (* x x) -2))) (* 4 (* (* x x) (+ (* x x) -2))))))
(+ 16 (- (* (* (* x x) (+ (* x x) -2)) (* (* x x) (+ (* x x) -2))) (* 4 (* (* x x) (+ (* x x) -2)))))
(- (* (* (* x x) (+ (* x x) -2)) (* (* x x) (+ (* x x) -2))) (* 4 (* (* x x) (+ (* x x) -2))))
(* x (+ 1/24 (* (* x x) 1/720)))
(* (* x x) 1/720)
(* x (* x (+ 1/24 (* (* x x) 1/720))))
(* (* x x) 1/12)
(* x (* x x))
(* (* x (* x (* x x))) (* x (* x (* x x))))
(* (* x x) (+ (* x x) -2))
(* (* (* x x) (+ (* x x) -2)) (* (* x x) (+ (* x x) -2)))

Outputs
(exp.f64 (.f64 (log1p.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))))))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64)))))))))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log1p.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64)))))))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64)))))))))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64))))))))))))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))))) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))))) #s(literal 1 binary64))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))))))) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))))))
(+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))))) #s(literal 1 binary64))
(+.f64 (/.f64 (.f64 x x) #s(literal 2 binary64)) (+.f64 (.f64 (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))) (.f64 x (*.f64 x x))) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) #s(literal 2 binary64))) (.f64 (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))) (.f64 x (*.f64 x x))))
(exp.f64 (neg.f64 (.f64 (log1p.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))))))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64)))))))))))
(fma.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64)))))))) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64))))))) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))) (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64))))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64))))))))))))
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(.f64 (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))) x)
(.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(.f64 #s(literal 1/12 binary64) (.f64 x x))
(.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x #s(literal 1/12 binary64)) x)
(.f64 (.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/12 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(.f64 (.f64 x (*.f64 x x)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (.f64 x (*.f64 x x)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(exp.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) (log.f64 x))))
(pow.f64 x #s(literal 8 binary64))
(pow.f64 (*.f64 x x) #s(literal 4 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 1 binary64))
(.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x (*.f64 x x)))
(.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))) x)
(+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (*.f64 x x) #s(literal -2 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) (.f64 x (.f64 x (*.f64 x x))))
(exp.f64 (.f64 (log.f64 (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal -2 binary64))))) #s(literal 1 binary64)))
(fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 x x) #s(literal -2 binary64)))
(fma.f64 (.f64 x x) (.f64 x x) (.f64 (.f64 x x) #s(literal -2 binary64)))
(fma.f64 (.f64 x (.f64 x x)) x (.f64 (.f64 x x) #s(literal -2 binary64)))
(/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 8 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) (.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (*.f64 x x) #s(literal -2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) (.f64 (.f64 x x) #s(literal -2 binary64)))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (*.f64 x x) #s(literal -2 binary64))))
(/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -8 binary64))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal -2 binary64)))))
(/.f64 (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -4 binary64))) (+.f64 (.f64 x x) #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -8 binary64)) (.f64 x x)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal -2 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -4 binary64)) (.f64 x x)) (+.f64 (.f64 x x) #s(literal 2 binary64)))
(pow.f64 (.f64 x (.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))) #s(literal 1 binary64))
(.f64 x (.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))
(.f64 x (pow.f64 (.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))
(.f64 (.f64 x x) (pow.f64 (+.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(.f64 (+.f64 (.f64 x x) #s(literal -2 binary64)) (*.f64 x x))
(.f64 (.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) x)
(.f64 (pow.f64 (.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) #s(literal 1 binary64)) x)
(.f64 (pow.f64 (+.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 x x))
(+.f64 (.f64 (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal -2 binary64)))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal -2 binary64)))) (.f64 (*.f64 x x) #s(literal -2 binary64))))
(+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal -2 binary64))))) (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))) #s(literal -2 binary64)))
(+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal -2 binary64))))) #s(literal -2 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal -2 binary64))))) (*.f64 x x)))
(+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal -2 binary64))))) (.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) (.f64 x (.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal -2 binary64)))))) (.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(+.f64 (.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal -2 binary64)))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal -2 binary64)))))))
(/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal -2 binary64))))) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -8 binary64))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal -2 binary64)))))
(/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal -2 binary64))))) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -4 binary64))) (+.f64 (.f64 x x) #s(literal 2 binary64)))
(pow.f64 (.f64 x (.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 x x) (.f64 (+.f64 (.f64 x x) #s(literal -2 binary64)) (.f64 x (.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 (.f64 x (.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))) #s(literal 2 binary64))
(.f64 x (.f64 x (.f64 (+.f64 (.f64 x x) #s(literal -2 binary64)) (.f64 x (.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 (.f64 x x) #s(literal -2 binary64)) (+.f64 (*.f64 x x) #s(literal -2 binary64)))))
(.f64 x (.f64 (.f64 x (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 x (.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))
(.f64 (.f64 x x) (.f64 (+.f64 (.f64 x x) #s(literal -2 binary64)) (.f64 x (.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))
(.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (+.f64 (.f64 x x) #s(literal -2 binary64)) (+.f64 (*.f64 x x) #s(literal -2 binary64)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 (.f64 x x) #s(literal -2 binary64)) (+.f64 (*.f64 x x) #s(literal -2 binary64))))
(.f64 (+.f64 (.f64 x x) #s(literal -2 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))
(.f64 (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal -2 binary64)))) (.f64 x (.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))
(.f64 (.f64 (+.f64 (.f64 x x) #s(literal -2 binary64)) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 x (.f64 x (*.f64 x x))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal -2 binary64))))) (+.f64 (*.f64 x x) #s(literal -2 binary64)))
(.f64 (.f64 (+.f64 (.f64 x x) #s(literal -2 binary64)) (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal -2 binary64))))) (*.f64 x x))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) #s(literal -2 binary64))) (+.f64 (*.f64 x x) #s(literal -2 binary64)))
(.f64 (.f64 (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal -2 binary64)))) x) (.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))
(.f64 (exp.f64 (log.f64 (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal -2 binary64)))))) (exp.f64 (log.f64 (.f64 x (.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))

simplify310.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

3912×	`-lowering-.f32`
3912×	`-lowering-.f64`
1796×	`+-lowering-+.f64`
1796×	`+-lowering-+.f32`
1550×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	221	2439
1	619	2289
2	1767	2255
3	5120	2253
0	8273	2253

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ (+ 2 (* -1/6 (pow x 2))) (pow x 2))
(/ (+ 2 (* (pow x 2) (- (* 1/72 (pow x 2)) 1/6))) (pow x 2))
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/72 (* -1/864 (pow x 2)))) 1/6))) (pow x 2))
(/ 24 (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 3456 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 3456 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 41472 (/ 1 (pow x 6))))) (pow x 4))
(/ 24 (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 3456 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 3456 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 41472 (/ 1 (pow x 6))))) (pow x 4))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
1
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* 1/12 (pow x 2)))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/8 (pow x 2)))) 1/2)))
(/ 2 (pow x 2))
(/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))
(/ 2 (pow x 2))
(/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))
2
(+ 2 (pow x 2))
(+ 2 (pow x 2))
(+ 2 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
16
16
(+ 16 (* -1 (pow x 8)))
(+ 16 (* -1 (pow x 8)))
(* -1 (pow x 8))
(* -1 (pow x 8))
(* (pow x 8) (- (* 16 (/ 1 (pow x 8))) 1))
(* (pow x 8) (- (* 16 (/ 1 (pow x 8))) 1))
(* -1 (pow x 8))
(* -1 (pow x 8))
(* (pow x 8) (- (* 16 (/ 1 (pow x 8))) 1))
(* (pow x 8) (- (* 16 (/ 1 (pow x 8))) 1))
16
16
(+ 16 (* -1 (pow x 8)))
(+ 16 (* -1 (pow x 8)))
(* -1 (pow x 8))
(* -1 (pow x 8))
(* (pow x 8) (- (* 16 (/ 1 (pow x 8))) 1))
(* (pow x 8) (- (* 16 (/ 1 (pow x 8))) 1))
(* -1 (pow x 8))
(* -1 (pow x 8))
(* (pow x 8) (- (* 16 (/ 1 (pow x 8))) 1))
(* (pow x 8) (- (* 16 (/ 1 (pow x 8))) 1))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/8 (pow x 2)))) 1/2)))
(/ 2 (pow x 2))
(/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))
(/ 2 (pow x 2))
(/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))
128
(+ 128 (* 64 (pow x 2)))
(+ 128 (* (pow x 2) (+ 64 (* -16 (pow x 4)))))
(+ 128 (* (pow x 2) (+ 64 (* (pow x 4) (- (* 16 (pow x 2)) 16)))))
(pow x 14)
(* (pow x 14) (- 1 (* 4 (/ 1 (pow x 2)))))
(* (pow x 14) (- (+ 1 (/ 16 (pow x 6))) (* 4 (/ 1 (pow x 2)))))
(* (pow x 14) (- (+ 1 (/ 16 (pow x 6))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 8))))))
(pow x 14)
(* (pow x 14) (- 1 (* 4 (/ 1 (pow x 2)))))
(* (pow x 14) (- (+ 1 (/ 16 (pow x 6))) (* 4 (/ 1 (pow x 2)))))
(* (pow x 14) (- (+ 1 (/ 16 (pow x 6))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 8))))))
16
(+ 16 (* 8 (pow x 2)))
(+ 16 (* (pow x 2) (+ 8 (* -4 (pow x 4)))))
(+ 16 (* (pow x 2) (+ 8 (* (pow x 4) (- (pow x 2) 4)))))
(pow x 8)
(* (pow x 8) (- 1 (* 4 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1 (/ 8 (pow x 6))) (* 4 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1 (+ (* 16 (/ 1 (pow x 8))) (/ 8 (pow x 6)))) (* 4 (/ 1 (pow x 2)))))
(pow x 8)
(* (pow x 8) (- 1 (* 4 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1 (/ 8 (pow x 6))) (* 4 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1 (+ (* 16 (/ 1 (pow x 8))) (/ 8 (pow x 6)))) (* 4 (/ 1 (pow x 2)))))
(* 8 (pow x 2))
(* (pow x 2) (+ 8 (* -4 (pow x 4))))
(* (pow x 2) (+ 8 (* (pow x 4) (- (pow x 2) 4))))
(* (pow x 2) (+ 8 (* (pow x 4) (- (pow x 2) 4))))
(pow x 8)
(* (pow x 8) (- 1 (* 4 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1 (/ 8 (pow x 6))) (* 4 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1 (/ 8 (pow x 6))) (* 4 (/ 1 (pow x 2)))))
(pow x 8)
(* (pow x 8) (- 1 (* 4 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1 (/ 8 (pow x 6))) (* 4 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1 (/ 8 (pow x 6))) (* 4 (/ 1 (pow x 2)))))
(* 1/24 x)
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* 1/720 (pow x 3))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 3))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))
(* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))
(* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(pow x 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 8)
(pow x 8)
(pow x 8)
(pow x 8)
(pow x 8)
(pow x 8)
(pow x 8)
(pow x 8)
(pow x 8)
(pow x 8)
(pow x 8)
(pow x 8)
(* -2 (pow x 2))
(* (pow x 2) (- (pow x 2) 2))
(* (pow x 2) (- (pow x 2) 2))
(* (pow x 2) (- (pow x 2) 2))
(pow x 4)
(* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))
(pow x 4)
(* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))
(* 4 (pow x 4))
(* (pow x 4) (+ 4 (* -4 (pow x 2))))
(* (pow x 4) (+ 4 (* (pow x 2) (- (pow x 2) 4))))
(* (pow x 4) (+ 4 (* (pow x 2) (- (pow x 2) 4))))
(pow x 8)
(* (pow x 8) (- 1 (* 4 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1 (/ 4 (pow x 4))) (* 4 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1 (/ 4 (pow x 4))) (* 4 (/ 1 (pow x 2)))))
(pow x 8)
(* (pow x 8) (- 1 (* 4 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1 (/ 4 (pow x 4))) (* 4 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1 (/ 4 (pow x 4))) (* 4 (/ 1 (pow x 2)))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 5/24 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 x x) #s(literal -61/720 binary64)))))))
(/ 720 (pow x 6))
(/.f64 #s(literal 720 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (+.f64 (/.f64 #s(literal 388800 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -21600 binary64) (.f64 x x)))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/.f64 (+.f64 (/.f64 #s(literal 388800 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 720 binary64) (+.f64 (/.f64 #s(literal -21600 binary64) (.f64 x x)) (/.f64 #s(literal -4406400 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 6 binary64)))
(/ 720 (pow x 6))
(/.f64 #s(literal 720 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (+.f64 (/.f64 #s(literal 388800 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -21600 binary64) (.f64 x x)))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/.f64 (+.f64 (/.f64 #s(literal 388800 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 720 binary64) (+.f64 (/.f64 #s(literal -21600 binary64) (.f64 x x)) (/.f64 #s(literal -4406400 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 6 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64))))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))))))
(* 1/720 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 x x)))))) #s(literal 1 binary64))
(* 1/720 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 x x)))))) #s(literal 1 binary64))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64)))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))
(* 1/720 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* 1/720 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (+ 2 (* -1/6 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64))) (*.f64 x x))
(/ (+ 2 (* (pow x 2) (- (* 1/72 (pow x 2)) 1/6))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 1/72 binary64))))))) (*.f64 x x))
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/72 (* -1/864 (pow x 2)))) 1/6))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/72 binary64) (.f64 (.f64 x x) #s(literal -1/864 binary64))))))) (*.f64 x x))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(/ (- (+ 24 (/ 3456 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (/.f64 #s(literal 3456 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (*.f64 x x))))
(/ (- (+ 24 (/ 3456 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 41472 (/ 1 (pow x 6))))) (pow x 4))
(/.f64 (+.f64 (/.f64 #s(literal 3456 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (/.f64 #s(literal -41472 binary64) (pow.f64 x #s(literal 6 binary64))))) (.f64 x (.f64 x (*.f64 x x))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(/ (- (+ 24 (/ 3456 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (/.f64 #s(literal 3456 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (*.f64 x x))))
(/ (- (+ 24 (/ 3456 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 41472 (/ 1 (pow x 6))))) (pow x 4))
(/.f64 (+.f64 (/.f64 #s(literal 3456 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (/.f64 #s(literal -41472 binary64) (pow.f64 x #s(literal 6 binary64))))) (.f64 x (.f64 x (*.f64 x x))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(* 1/12 (pow x 4))
(.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(* 1/12 (pow x 4))
(.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* 1/12 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(+ 1 (* 1/12 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(+ 1 (* 1/12 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(+ 1 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/4 binary64)))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/8 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (.f64 x x))) (.f64 x x))
(/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (.f64 x x))) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x))
(/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal -4 binary64) (.f64 x x)) (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (.f64 x x))) (.f64 x x))
(/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (.f64 x x))) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x))
(/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal -4 binary64) (.f64 x x)) (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(+ 2 (pow x 2))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(+ 2 (pow x 2))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
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(.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(pow x 8)
(.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(pow x 8)
(.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(pow x 8)
(.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(pow x 8)
(.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(pow x 8)
(.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* -2 (pow x 2))
(.f64 (.f64 x x) #s(literal -2 binary64))
(* (pow x 2) (- (pow x 2) 2))
(.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))
(* (pow x 2) (- (pow x 2) 2))
(.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))
(* (pow x 2) (- (pow x 2) 2))
(.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))
(* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))
(* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))
(* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))
(* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))
(* 4 (pow x 4))
(.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 4 (* -4 (pow x 2))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal -4 binary64))))
(* (pow x 4) (+ 4 (* (pow x 2) (- (pow x 2) 4))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x (+.f64 (*.f64 x x) #s(literal -4 binary64))))))
(* (pow x 4) (+ 4 (* (pow x 2) (- (pow x 2) 4))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x (+.f64 (*.f64 x x) #s(literal -4 binary64))))))
(pow x 8)
(.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 8) (- 1 (* 4 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x x))))
(* (pow x 8) (- (+ 1 (/ 4 (pow x 4))) (* 4 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 x x))) (/.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 8) (- (+ 1 (/ 4 (pow x 4))) (* 4 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 x x))) (/.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x))))))
(pow x 8)
(.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 8) (- 1 (* 4 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x x))))
(* (pow x 8) (- (+ 1 (/ 4 (pow x 4))) (* 4 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 x x))) (/.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 8) (- (+ 1 (/ 4 (pow x 4))) (* 4 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 x x))) (/.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x))))))

eval314.0ms (3.6%)

Compiler: Compiled 94177 to 4125 computations (95.6% saved)

prune169.0ms (2%)

Pruning

33 alts after pruning (28 fresh and 5 done)

	Pruned	Kept	Total
New	1581	22	1603
Fresh	3	6	9
Picked	4	1	5
Done	0	4	4
Total	1588	33	1621

Accuracy

100.0%

Counts

1621 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.9%	(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
▶	41.9%	(/.f64 (/.f64 #s(literal 2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
▶	26.2%	(/.f64 (/.f64 #s(literal 2 binary64) x) x)
	41.0%	(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
	47.2%	(/.f64 (.f64 #s(literal 4 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64)))))
	49.1%	(/.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))))))) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal -2 binary64)))) (+.f64 (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal -2 binary64)))) #s(literal -4 binary64))))) (-.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))
	2.2%	(/.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))))))) (.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))
	48.0%	(/.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 16 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))))))))
	48.0%	(/.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4 binary64)) (-.f64 #s(literal 2 binary64) (.f64 x x)))) (-.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
	42.3%	(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
	48.7%	(/.f64 #s(literal 2 binary64) (/.f64 (/.f64 (-.f64 #s(literal 256 binary64) (.f64 x (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 2 binary64) (*.f64 x x)))))
▶	47.2%	(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
	47.5%	(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (+.f64 #s(literal 512 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 64 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
✓	70.9%	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
	42.2%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 1/12 binary64)) x))))
	42.0%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
	42.0%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))))
✓	26.7%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
▶	90.4%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 2 binary64)) (+.f64 (.f64 (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))) (.f64 x (*.f64 x x))) #s(literal 1 binary64))))
	52.8%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64))))))))))
	90.4%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))))) x)))
	52.4%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64))))) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/720 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/720 binary64))) #s(literal 1/24 binary64)))))))))
▶	90.4%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))))))
	67.4%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/518400 binary64))) x) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))))))))
	52.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)))) x) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/720 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/720 binary64))) #s(literal 1/24 binary64))))))))))
	90.4%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))))))
	49.2%	(/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))))))))
✓	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))
✓	47.1%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))))
	41.9%	(.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
	26.2%	(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
	49.2%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))))))
✓	47.7%	#s(literal 1 binary64)

Compiler

Compiled 2055 to 890 computations (56.7% saved)

simplify251.0ms (2.9%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))
✓	cost-diff	128	(.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1 binary64))
✓	cost-diff	128	(/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))))
✓	cost-diff	128	(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 (*.f64 x x) #s(literal 2 binary64))
✓	cost-diff	256	(+.f64 (/.f64 (.f64 x x) #s(literal 2 binary64)) (+.f64 (.f64 (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))) (.f64 x (*.f64 x x))) #s(literal 1 binary64)))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 2 binary64)) (+.f64 (.f64 (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))) (.f64 x (*.f64 x x))) #s(literal 1 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) x)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) x)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 2 binary64) x) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))))))

Rules

3850×	`-lowering-.f32`
3850×	`-lowering-.f64`
2052×	`fma-define`
1984×	`fnmadd-define`
1908×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	463
1	169	357
2	586	344
3	2223	344
4	7315	344
0	8343	344

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720)))))))
1
(+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))))
(* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720)))))
(* x x)
x
(+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))
1/2
(* (* x x) (+ 1/24 (* (* x x) 1/720)))
(+ 1/24 (* (* x x) 1/720))
1/24
(* (* x x) 1/720)
1/720
(/ (/ 2 x) x)
(/ 2 x)
2
x
(/ (/ 2 x) (* x (+ 1 (* (* x x) 1/12))))
(/ 2 x)
2
x
(* x (+ 1 (* (* x x) 1/12)))
(+ 1 (* (* x x) 1/12))
1
(* (* x x) 1/12)
(* x x)
1/12
(/ 1 (+ (/ (* x x) 2) (+ (* (* x (+ 1/24 (* x (* x 1/720)))) (* x (* x x))) 1)))
1
(+ (/ (* x x) 2) (+ (* (* x (+ 1/24 (* x (* x 1/720)))) (* x (* x x))) 1))
(/ (* x x) 2)
(* x x)
x
2
(+ (* (* x (+ 1/24 (* x (* x 1/720)))) (* x (* x x))) 1)
(* (* x (+ 1/24 (* x (* x 1/720)))) (* x (* x x)))
(* x (+ 1/24 (* x (* x 1/720))))
(+ 1/24 (* x (* x 1/720)))
1/24
(* x (* x 1/720))
(* x 1/720)
1/720
(* x (* x x))
(/ 2 (/ (* (- 64 (* (* (* x x) (* x (* x (* x x)))) (* (* x x) (* x (* x (* x x)))))) 1) (* (- 8 (* (* x x) (* x (* x (* x x))))) (+ 4 (* (* x x) (+ (* x x) -2))))))
2
(/ (* (- 64 (* (* (* x x) (* x (* x (* x x)))) (* (* x x) (* x (* x (* x x)))))) 1) (* (- 8 (* (* x x) (* x (* x (* x x))))) (+ 4 (* (* x x) (+ (* x x) -2)))))
(* (- 64 (* (* (* x x) (* x (* x (* x x)))) (* (* x x) (* x (* x (* x x)))))) 1)
(- 64 (* (* (* x x) (* x (* x (* x x)))) (* (* x x) (* x (* x (* x x))))))
64
(* (* (* x x) (* x (* x (* x x)))) (* (* x x) (* x (* x (* x x)))))
(* (* x x) (* x (* x (* x x))))
(* x x)
x
(* x (* x (* x x)))
(* x (* x x))
1
(* (- 8 (* (* x x) (* x (* x (* x x))))) (+ 4 (* (* x x) (+ (* x x) -2))))
(- 8 (* (* x x) (* x (* x (* x x)))))
8
(+ 4 (* (* x x) (+ (* x x) -2)))
4
(* (* x x) (+ (* x x) -2))
(+ (* x x) -2)
-2

Outputs
(/ 1 (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))))))
1
#s(literal 1 binary64)
(+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))))
(* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))))
(* x x)
(*.f64 x x)
x
(+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))
1/2
#s(literal 1/2 binary64)
(* (* x x) (+ 1/24 (* (* x x) 1/720)))
(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))
(+ 1/24 (* (* x x) 1/720))
(+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))
1/24
#s(literal 1/24 binary64)
(* (* x x) 1/720)
(.f64 x (.f64 x #s(literal 1/720 binary64)))
1/720
#s(literal 1/720 binary64)
(/ (/ 2 x) x)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
x
(/ (/ 2 x) (* x (+ 1 (* (* x x) 1/12))))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
x
(* x (+ 1 (* (* x x) 1/12)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(+ 1 (* (* x x) 1/12))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
1
#s(literal 1 binary64)
(* (* x x) 1/12)
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* x x)
(*.f64 x x)
1/12
#s(literal 1/12 binary64)
(/ 1 (+ (/ (* x x) 2) (+ (* (* x (+ 1/24 (* x (* x 1/720)))) (* x (* x x))) 1)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))))))
1
#s(literal 1 binary64)
(+ (/ (* x x) 2) (+ (* (* x (+ 1/24 (* x (* x 1/720)))) (* x (* x x))) 1))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))))
(/ (* x x) 2)
(/.f64 (*.f64 x x) #s(literal 2 binary64))
(* x x)
(*.f64 x x)
x
2
#s(literal 2 binary64)
(+ (* (* x (+ 1/24 (* x (* x 1/720)))) (* x (* x x))) 1)
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))))
(* (* x (+ 1/24 (* x (* x 1/720)))) (* x (* x x)))
(.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))
(* x (+ 1/24 (* x (* x 1/720))))
(.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64)))))
(+ 1/24 (* x (* x 1/720)))
(+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))
1/24
#s(literal 1/24 binary64)
(* x (* x 1/720))
(.f64 x (.f64 x #s(literal 1/720 binary64)))
(* x 1/720)
(*.f64 x #s(literal 1/720 binary64))
1/720
#s(literal 1/720 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
(/ 2 (/ (* (- 64 (* (* (* x x) (* x (* x (* x x)))) (* (* x x) (* x (* x (* x x)))))) 1) (* (- 8 (* (* x x) (* x (* x (* x x))))) (+ 4 (* (* x x) (+ (* x x) -2))))))
(/.f64 (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 8 binary64) (.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal -2 binary64))))))) (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
2
#s(literal 2 binary64)
(/ (* (- 64 (* (* (* x x) (* x (* x (* x x)))) (* (* x x) (* x (* x (* x x)))))) 1) (* (- 8 (* (* x x) (* x (* x (* x x))))) (+ 4 (* (* x x) (+ (* x x) -2)))))
(/.f64 (/.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))
(* (- 64 (* (* (* x x) (* x (* x (* x x)))) (* (* x x) (* x (* x (* x x)))))) 1)
(-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))
(- 64 (* (* (* x x) (* x (* x (* x x)))) (* (* x x) (* x (* x (* x x))))))
(-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))
64
#s(literal 64 binary64)
(* (* (* x x) (* x (* x (* x x)))) (* (* x x) (* x (* x (* x x)))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(* (* x x) (* x (* x (* x x))))
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
(* x x)
(*.f64 x x)
x
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
(* x (* x x))
(.f64 x (.f64 x x))
1
#s(literal 1 binary64)
(* (- 8 (* (* x x) (* x (* x (* x x))))) (+ 4 (* (* x x) (+ (* x x) -2))))
(.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))))
(- 8 (* (* x x) (* x (* x (* x x)))))
(-.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
8
#s(literal 8 binary64)
(+ 4 (* (* x x) (+ (* x x) -2)))
(+.f64 #s(literal 4 binary64) (.f64 x (.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))))
4
#s(literal 4 binary64)
(* (* x x) (+ (* x x) -2))
(.f64 x (.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))
(+ (* x x) -2)
(+.f64 (*.f64 x x) #s(literal -2 binary64))
-2
#s(literal -2 binary64)

localize317.0ms (3.7%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.9%	(.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))
✓	accuracy	99.4%	(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
✓	accuracy	59.6%	(/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/720 binary64)))
✓	accuracy	99.7%	(*.f64 x #s(literal 1/720 binary64))
✓	accuracy	99.7%	(.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64)))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
✓	accuracy	99.9%	(/.f64 (/.f64 #s(literal 2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/12 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) x)
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 2 binary64) x) x)
✓	accuracy	100.0%	(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))))))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 1/720 binary64))

Results

187.0ms

256×

valid

Compiler

Compiled 558 to 48 computations (91.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-mult: 58.0ms (60.8% of total)

ival-div: 13.0ms (13.6% of total)

ival-add: 11.0ms (11.5% of total)

...c/correct-round.rkt:119:19: 10.0ms (10.5% of total)

ival-sub: 3.0ms (3.1% of total)

const: 1.0ms (1% of total)

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

series12.0ms (0.1%)

Counts

24 → 288

Calls

Call 1

Inputs
#<alt (/ 1 (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720)))))))>
#<alt (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))))>
#<alt (* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720)))))>
#<alt (* x x)>
#<alt (/ (/ 2 x) x)>
#<alt (/ 2 x)>
#<alt (/ (/ 2 x) (* x (+ 1 (* (* x x) 1/12))))>
#<alt (* x (+ 1 (* (* x x) 1/12)))>
#<alt (+ 1 (* (* x x) 1/12))>
#<alt (/ 1 (+ (/ (* x x) 2) (+ (* (* x (+ 1/24 (* x (* x 1/720)))) (* x (* x x))) 1)))>
#<alt (+ (/ (* x x) 2) (+ (* (* x (+ 1/24 (* x (* x 1/720)))) (* x (* x x))) 1))>
#<alt (/ (* x x) 2)>
#<alt (/ 2 (/ (* (- 64 (* (* (* x x) (* x (* x (* x x)))) (* (* x x) (* x (* x (* x x)))))) 1) (* (- 8 (* (* x x) (* x (* x (* x x))))) (+ 4 (* (* x x) (+ (* x x) -2))))))>
#<alt (/ (* (- 64 (* (* (* x x) (* x (* x (* x x)))) (* (* x x) (* x (* x (* x x)))))) 1) (* (- 8 (* (* x x) (* x (* x (* x x))))) (+ 4 (* (* x x) (+ (* x x) -2)))))>
#<alt (* (- 64 (* (* (* x x) (* x (* x (* x x)))) (* (* x x) (* x (* x (* x x)))))) 1)>
#<alt (- 64 (* (* (* x x) (* x (* x (* x x)))) (* (* x x) (* x (* x (* x x))))))>
#<alt (* (* x x) 1/720)>
#<alt (* (* x x) (+ 1/24 (* (* x x) 1/720)))>
#<alt (* (* x x) 1/12)>
#<alt (* x (+ 1/24 (* x (* x 1/720))))>
#<alt (* x 1/720)>
#<alt (* x (* x 1/720))>
#<alt (* x (* x x))>
#<alt (* (* x x) (+ (* x x) -2))>

Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 (pow x 2))>
#<alt (/ (+ 2 (* -1/6 (pow x 2))) (pow x 2))>
#<alt (/ (+ 2 (* (pow x 2) (- (* 1/72 (pow x 2)) 1/6))) (pow x 2))>
#<alt (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/72 (* -1/864 (pow x 2)))) 1/6))) (pow x 2))>
#<alt (/ 24 (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 3456 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 3456 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 41472 (/ 1 (pow x 6))))) (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 3456 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 3456 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 41472 (/ 1 (pow x 6))))) (pow x 4))>
#<alt x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* 1/12 (pow x 3))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 3))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/8 (pow x 2)))) 1/2)))>
#<alt (/ 2 (pow x 2))>
#<alt (/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt 64>
#<alt 64>
#<alt (+ 64 (* -1 (pow x 12)))>
#<alt (+ 64 (* -1 (pow x 12)))>
#<alt (* -1 (pow x 12))>
#<alt (* -1 (pow x 12))>
#<alt (* (pow x 12) (- (* 64 (/ 1 (pow x 12))) 1))>
#<alt (* (pow x 12) (- (* 64 (/ 1 (pow x 12))) 1))>
#<alt (* -1 (pow x 12))>
#<alt (* -1 (pow x 12))>
#<alt (* (pow x 12) (- (* 64 (/ 1 (pow x 12))) 1))>
#<alt (* (pow x 12) (- (* 64 (/ 1 (pow x 12))) 1))>
#<alt 64>
#<alt 64>
#<alt (+ 64 (* -1 (pow x 12)))>
#<alt (+ 64 (* -1 (pow x 12)))>
#<alt (* -1 (pow x 12))>
#<alt (* -1 (pow x 12))>
#<alt (* (pow x 12) (- (* 64 (/ 1 (pow x 12))) 1))>
#<alt (* (pow x 12) (- (* 64 (/ 1 (pow x 12))) 1))>
#<alt (* -1 (pow x 12))>
#<alt (* -1 (pow x 12))>
#<alt (* (pow x 12) (- (* 64 (/ 1 (pow x 12))) 1))>
#<alt (* (pow x 12) (- (* 64 (/ 1 (pow x 12))) 1))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* 1/720 (pow x 4))>
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/720 (pow x 4))>
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* x (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* x (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* 1/720 (pow x 3))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/720 (pow x 3))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* -2 (pow x 2))>
#<alt (* (pow x 2) (- (pow x 2) 2))>
#<alt (* (pow x 2) (- (pow x 2) 2))>
#<alt (* (pow x 2) (- (pow x 2) 2))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))>

Calls

72 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/ 1 (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720)))))))
1.0ms	x	@	inf	(/ (* (- 64 (* (* (* x x) (* x (* x (* x x)))) (* (* x x) (* x (* x (* x x)))))) 1) (* (- 8 (* (* x x) (* x (* x (* x x))))) (+ 4 (* (* x x) (+ (* x x) -2)))))
0.0ms	x	@	0	(/ (* (- 64 (* (* (* x x) (* x (* x (* x x)))) (* (* x x) (* x (* x (* x x)))))) 1) (* (- 8 (* (* x x) (* x (* x (* x x))))) (+ 4 (* (* x x) (+ (* x x) -2)))))
0.0ms	x	@	inf	(/ 2 (/ (* (- 64 (* (* (* x x) (* x (* x (* x x)))) (* (* x x) (* x (* x (* x x)))))) 1) (* (- 8 (* (* x x) (* x (* x (* x x))))) (+ 4 (* (* x x) (+ (* x x) -2))))))
0.0ms	x	@	inf	(* (- 64 (* (* (* x x) (* x (* x (* x x)))) (* (* x x) (* x (* x (* x x)))))) 1)

rewrite501.0ms (5.8%)

Algorithm

1×	batch-egg-rewrite

Rules

5240×	`-lowering-.f32`
5240×	`-lowering-.f64`
2394×	`/-lowering-/.f32`
2394×	`/-lowering-/.f64`
2390×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	277
1	355	214
2	3183	208
0	9525	208

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 926

Calls

Call 1

Inputs
(/ 1 (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720)))))))
(+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720))))))
(* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720)))))
(* x x)
(/ (/ 2 x) x)
(/ 2 x)
(/ (/ 2 x) (* x (+ 1 (* (* x x) 1/12))))
(* x (+ 1 (* (* x x) 1/12)))
(+ 1 (* (* x x) 1/12))
(/ 1 (+ (/ (* x x) 2) (+ (* (* x (+ 1/24 (* x (* x 1/720)))) (* x (* x x))) 1)))
(+ (/ (* x x) 2) (+ (* (* x (+ 1/24 (* x (* x 1/720)))) (* x (* x x))) 1))
(/ (* x x) 2)
(/ 2 (/ (* (- 64 (* (* (* x x) (* x (* x (* x x)))) (* (* x x) (* x (* x (* x x)))))) 1) (* (- 8 (* (* x x) (* x (* x (* x x))))) (+ 4 (* (* x x) (+ (* x x) -2))))))
(/ (* (- 64 (* (* (* x x) (* x (* x (* x x)))) (* (* x x) (* x (* x (* x x)))))) 1) (* (- 8 (* (* x x) (* x (* x (* x x))))) (+ 4 (* (* x x) (+ (* x x) -2)))))
(* (- 64 (* (* (* x x) (* x (* x (* x x)))) (* (* x x) (* x (* x (* x x)))))) 1)
(- 64 (* (* (* x x) (* x (* x (* x x)))) (* (* x x) (* x (* x (* x x))))))
(* (* x x) 1/720)
(* (* x x) (+ 1/24 (* (* x x) 1/720)))
(* (* x x) 1/12)
(* x (+ 1/24 (* x (* x 1/720))))
(* x 1/720)
(* x (* x 1/720))
(* x (* x x))
(* (* x x) (+ (* x x) -2))

Outputs
(exp.f64 (.f64 (log1p.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))))))))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))))))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))))))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))))))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))))))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 8 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))) x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))) x))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))) x))))))) (+.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))) x))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))) x))) (/.f64 x (/.f64 #s(literal 2 binary64) x))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 8 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))) x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))) x))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))) x))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))) x))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))) x))) (/.f64 x (/.f64 #s(literal 2 binary64) x)))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))))))) (-.f64 (/.f64 x (/.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))) x)))))) (-.f64 (/.f64 x (/.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))) x)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))))))) (-.f64 (/.f64 x (/.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))) x)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (/.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))) x))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))) #s(literal 1 binary64))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))))))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))))) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))))
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(fma.f64 (.f64 x #s(literal 1/24 binary64)) x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
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(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64))))) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))
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(.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))
(.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))) x)
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/12 binary64))))
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(.f64 (.f64 x x) #s(literal 1/12 binary64))
(.f64 #s(literal 1/12 binary64) (.f64 x x))
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(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x #s(literal 1/24 binary64)))
(+.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))
(fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64)) (*.f64 x #s(literal 1/24 binary64)))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/720 binary64)) (*.f64 x #s(literal 1/24 binary64)))
(fma.f64 #s(literal 1/24 binary64) x (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(fma.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x x)) (*.f64 x #s(literal 1/24 binary64)))
(fma.f64 (.f64 x #s(literal 1/720 binary64)) (.f64 x x) (*.f64 x #s(literal 1/24 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) x (*.f64 x #s(literal 1/24 binary64)))
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(/.f64 (.f64 x (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/518400 binary64)))) (-.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)))) x) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/518400 binary64))) x) (-.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/720 binary64))))
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(*.f64 x #s(literal 1/720 binary64))
(*.f64 #s(literal 1/720 binary64) x)
(.f64 x (.f64 x #s(literal 1/720 binary64)))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(.f64 #s(literal 1/720 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/720 binary64)) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1 binary64))
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(+.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) (.f64 x (.f64 x (*.f64 x x))))
(fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 x x) #s(literal -2 binary64)))
(fma.f64 x (.f64 x #s(literal -2 binary64)) (.f64 x (.f64 x (.f64 x x))))
(fma.f64 (.f64 x x) (.f64 x x) (.f64 (.f64 x x) #s(literal -2 binary64)))
(fma.f64 (.f64 x x) #s(literal -2 binary64) (.f64 x (.f64 x (.f64 x x))))
(fma.f64 (.f64 x (.f64 x x)) x (.f64 (.f64 x x) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) (.f64 x x) (.f64 x (.f64 x (.f64 x x))))
(fma.f64 (.f64 #s(literal -2 binary64) x) x (.f64 x (.f64 x (.f64 x x))))
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(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) (.f64 (.f64 x x) #s(literal -2 binary64)))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (*.f64 x x) #s(literal -2 binary64))))
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(/.f64 (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -4 binary64))) (+.f64 (.f64 x x) #s(literal 2 binary64)))
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(/.f64 (.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -4 binary64)) (.f64 x x)) (+.f64 (.f64 x x) #s(literal 2 binary64)))
(.f64 x (.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))))
(.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))
(.f64 (+.f64 (.f64 x x) #s(literal -2 binary64)) (*.f64 x x))
(.f64 (.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64))) x)

simplify301.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

4628×	`-lowering-.f32`
4628×	`-lowering-.f64`
2244×	`+-lowering-+.f64`
2244×	`+-lowering-+.f32`
1924×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	167	2136
1	465	1987
2	1269	1971
3	5502	1971
0	8669	1971

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 (pow x 2))
(/ (+ 2 (* -1/6 (pow x 2))) (pow x 2))
(/ (+ 2 (* (pow x 2) (- (* 1/72 (pow x 2)) 1/6))) (pow x 2))
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/72 (* -1/864 (pow x 2)))) 1/6))) (pow x 2))
(/ 24 (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 3456 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 3456 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 41472 (/ 1 (pow x 6))))) (pow x 4))
(/ 24 (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 3456 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 3456 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 41472 (/ 1 (pow x 6))))) (pow x 4))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* 1/12 (pow x 2))))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
1
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* 1/12 (pow x 2)))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/8 (pow x 2)))) 1/2)))
(/ 2 (pow x 2))
(/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))
(/ 2 (pow x 2))
(/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))
2
(+ 2 (pow x 2))
(+ 2 (pow x 2))
(+ 2 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
64
64
(+ 64 (* -1 (pow x 12)))
(+ 64 (* -1 (pow x 12)))
(* -1 (pow x 12))
(* -1 (pow x 12))
(* (pow x 12) (- (* 64 (/ 1 (pow x 12))) 1))
(* (pow x 12) (- (* 64 (/ 1 (pow x 12))) 1))
(* -1 (pow x 12))
(* -1 (pow x 12))
(* (pow x 12) (- (* 64 (/ 1 (pow x 12))) 1))
(* (pow x 12) (- (* 64 (/ 1 (pow x 12))) 1))
64
64
(+ 64 (* -1 (pow x 12)))
(+ 64 (* -1 (pow x 12)))
(* -1 (pow x 12))
(* -1 (pow x 12))
(* (pow x 12) (- (* 64 (/ 1 (pow x 12))) 1))
(* (pow x 12) (- (* 64 (/ 1 (pow x 12))) 1))
(* -1 (pow x 12))
(* -1 (pow x 12))
(* (pow x 12) (- (* 64 (/ 1 (pow x 12))) 1))
(* (pow x 12) (- (* 64 (/ 1 (pow x 12))) 1))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))
(* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))
(* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/24 x)
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* 1/720 (pow x 3))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 3))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* -2 (pow x 2))
(* (pow x 2) (- (pow x 2) 2))
(* (pow x 2) (- (pow x 2) 2))
(* (pow x 2) (- (pow x 2) 2))
(pow x 4)
(* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))
(pow x 4)
(* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 x x) #s(literal -61/720 binary64)))))))
(/ 720 (pow x 6))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (/.f64 #s(literal 388800 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/.f64 (-.f64 (/.f64 #s(literal 388800 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 (/.f64 #s(literal 21600 binary64) (.f64 x x)) (/.f64 #s(literal 4406400 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal -720 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
(/ 720 (pow x 6))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (/.f64 #s(literal 388800 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/.f64 (-.f64 (/.f64 #s(literal 388800 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 (/.f64 #s(literal 21600 binary64) (.f64 x x)) (/.f64 #s(literal 4406400 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal -720 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))))))
(* 1/720 (pow x 6))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/720 binary64))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(* 1/720 (pow x 6))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/720 binary64))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))
(* 1/720 (pow x 6))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/720 binary64))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* 1/720 (pow x 6))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/720 binary64))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (+ 2 (* -1/6 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64)))) (*.f64 x x))
(/ (+ 2 (* (pow x 2) (- (* 1/72 (pow x 2)) 1/6))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 1/72 binary64))))) (*.f64 x x))
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/72 (* -1/864 (pow x 2)))) 1/6))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/72 binary64) (.f64 x (.f64 x #s(literal -1/864 binary64)))))))) (*.f64 x x))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
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(* 1/720 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(* 1/720 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(* 1/720 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(* -2 (pow x 2))
(.f64 x (.f64 x #s(literal -2 binary64)))
(* (pow x 2) (- (pow x 2) 2))
(.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))
(* (pow x 2) (- (pow x 2) 2))
(.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))
(* (pow x 2) (- (pow x 2) 2))
(.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))
(* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))
(* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))
(* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))
(* (pow x 4) (- 1 (* 2 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))

eval238.0ms (2.8%)

Compiler: Compiled 88890 to 3392 computations (96.2% saved)

prune172.0ms (2%)

Pruning

34 alts after pruning (27 fresh and 7 done)

	Pruned	Kept	Total
New	1561	8	1569
Fresh	4	19	23
Picked	3	2	5
Done	0	5	5
Total	1568	34	1602

Accuracy

100.0%

Counts

1602 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.7%	(/.f64 (/.f64 #s(literal 2 binary64) x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
✓	26.2%	(/.f64 (/.f64 #s(literal 2 binary64) x) x)
	44.6%	(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
	47.2%	(/.f64 (.f64 #s(literal 4 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64)))))
	49.1%	(/.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))))))) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal -2 binary64)))) (+.f64 (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal -2 binary64)))) #s(literal -4 binary64))))) (-.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))
	2.2%	(/.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))))))) (.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))
	48.0%	(/.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 16 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))))))))
	48.0%	(/.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4 binary64)) (-.f64 #s(literal 2 binary64) (.f64 x x)))) (-.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
	45.9%	(/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
	42.3%	(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
	48.7%	(/.f64 #s(literal 2 binary64) (/.f64 (/.f64 (-.f64 #s(literal 256 binary64) (.f64 x (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 2 binary64) (*.f64 x x)))))
	47.5%	(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal -2 binary64)))))))
	47.5%	(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (+.f64 #s(literal 512 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 64 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
✓	70.9%	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
	42.0%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
	42.0%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))))
✓	26.7%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
	49.2%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))) #s(literal 1 binary64)) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) #s(literal 1 binary64))))
	52.0%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 2 binary64)) (+.f64 (.f64 (/.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)))) x) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) (.f64 x (.f64 x x))) #s(literal 1 binary64))))
	52.8%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64))))))))))
	90.2%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/720 binary64))))
	90.4%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))))) x)))
	52.4%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64))))) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/720 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/720 binary64))) #s(literal 1/24 binary64)))))))))
✓	90.4%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))))))
	67.4%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/518400 binary64))) x) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))))))))
	52.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)))) x) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/720 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/720 binary64))) #s(literal 1/24 binary64))))))))))
	90.4%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))))))
	49.2%	(/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))))))))
	45.9%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/720 binary64)))
✓	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))
✓	47.1%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))))
	26.2%	(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
	49.2%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))))))
✓	47.7%	#s(literal 1 binary64)

Compiler

Compiled 2716 to 770 computations (71.6% saved)

regimes51.0ms (0.6%)

Counts

50 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(/.f64 (/.f64 #s(literal 2 binary64) x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 1/12 binary64)) x))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (/.f64 #s(literal 2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/720 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/720 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))))))
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))))) x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 2 binary64)) (+.f64 (.f64 (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))) (.f64 x (*.f64 x x))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/518400 binary64))) x) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))))))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4 binary64)) (-.f64 #s(literal 2 binary64) (.f64 x x)))) (-.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 2 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)))) x) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/720 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/720 binary64))) #s(literal 1/24 binary64))))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64))))) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/720 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/720 binary64))) #s(literal 1/24 binary64)))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64))))))))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 2 binary64)) (+.f64 (.f64 (/.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)))) x) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) (.f64 x (.f64 x x))) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64)))))) (.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (-.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))))
(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal -2 binary64)))))))
(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))) #s(literal 1 binary64)) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))))))))
(/.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))))))) (.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 2 binary64) (/.f64 (/.f64 (-.f64 #s(literal 256 binary64) (.f64 x (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 2 binary64) (*.f64 x x)))))
(/.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 16 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))))))))
(/.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))))))) (.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 16 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))))))
(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (+.f64 #s(literal 512 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 64 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 4 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))) (-.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))))
(/.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))))))) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal -2 binary64)))) (+.f64 (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal -2 binary64)))) #s(literal -4 binary64))))) (-.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (.f64 #s(literal 4 binary64) (sinh.f64 x)) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 2 binary64)))))

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

Calls

3 calls:

13.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
13.0ms	x
13.0ms	(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes23.0ms (0.3%)

Counts

47 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(/.f64 (/.f64 #s(literal 2 binary64) x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 1/12 binary64)) x))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (/.f64 #s(literal 2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/720 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/720 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))))))
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))))) x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 2 binary64)) (+.f64 (.f64 (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))) (.f64 x (*.f64 x x))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/518400 binary64))) x) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))))))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4 binary64)) (-.f64 #s(literal 2 binary64) (.f64 x x)))) (-.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 2 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)))) x) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/720 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/720 binary64))) #s(literal 1/24 binary64))))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64))))) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/720 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/720 binary64))) #s(literal 1/24 binary64)))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64))))))))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 2 binary64)) (+.f64 (.f64 (/.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)))) x) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) (.f64 x (.f64 x x))) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64)))))) (.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (-.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))))
(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal -2 binary64)))))))
(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))) #s(literal 1 binary64)) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))))))))
(/.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))))))) (.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 2 binary64) (/.f64 (/.f64 (-.f64 #s(literal 256 binary64) (.f64 x (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 2 binary64) (*.f64 x x)))))
(/.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 16 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))))))))
(/.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))))))) (.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 16 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))))))
(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (+.f64 #s(literal 512 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 64 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 4 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))) (-.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))))
(/.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))))))) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal -2 binary64)))) (+.f64 (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal -2 binary64)))) #s(literal -4 binary64))))) (-.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))

Outputs

(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))))) (/.f64 (*.f64 (-.f64 #s(literal 64 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))) (+.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 x x) #s(literal -2 binary64)))) #s(literal -4 binary64))))) (-.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))

(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))))

(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
95.5%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes20.0ms (0.2%)

Counts

46 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(/.f64 (/.f64 #s(literal 2 binary64) x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 1/12 binary64)) x))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (/.f64 #s(literal 2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/720 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/720 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))))))
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))))) x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 2 binary64)) (+.f64 (.f64 (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))) (.f64 x (*.f64 x x))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/518400 binary64))) x) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))))))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4 binary64)) (-.f64 #s(literal 2 binary64) (.f64 x x)))) (-.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 2 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)))) x) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/720 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/720 binary64))) #s(literal 1/24 binary64))))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64))))) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/720 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/720 binary64))) #s(literal 1/24 binary64)))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64))))))))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 2 binary64)) (+.f64 (.f64 (/.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)))) x) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) (.f64 x (.f64 x x))) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64)))))) (.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (-.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))))
(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal -2 binary64)))))))
(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))) #s(literal 1 binary64)) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))))))))
(/.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))))))) (.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 2 binary64) (/.f64 (/.f64 (-.f64 #s(literal 256 binary64) (.f64 x (.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 2 binary64) (*.f64 x x)))))
(/.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 16 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))))))))
(/.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))))))) (.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 16 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))))))
(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (+.f64 #s(literal 512 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 64 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))
(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 4 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))) (-.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))))

Outputs

(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))))

(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
93.0%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes15.0ms (0.2%)

Counts

37 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(/.f64 (/.f64 #s(literal 2 binary64) x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 1/12 binary64)) x))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (/.f64 #s(literal 2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/720 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/720 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))))))
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))))) x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 2 binary64)) (+.f64 (.f64 (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))) (.f64 x (*.f64 x x))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/518400 binary64))) x) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))))))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4 binary64)) (-.f64 #s(literal 2 binary64) (.f64 x x)))) (-.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 2 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)))) x) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/720 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/720 binary64))) #s(literal 1/24 binary64))))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64))))) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/720 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/720 binary64))) #s(literal 1/24 binary64)))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64))))))))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 2 binary64)) (+.f64 (.f64 (/.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)))) x) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) (.f64 x (.f64 x x))) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64)))))) (.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (-.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64))))))
(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal -2 binary64)))))))
(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))

Outputs

(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))) (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))))

(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
92.2%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes12.0ms (0.1%)

Counts

32 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(/.f64 (/.f64 #s(literal 2 binary64) x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 1/12 binary64)) x))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (/.f64 #s(literal 2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/720 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/720 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))))))
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))))) x)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x #s(literal 1/360 binary64))))))))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 2 binary64)) (+.f64 (.f64 (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))) (.f64 x (*.f64 x x))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/518400 binary64))) x) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 x x)))))))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4 binary64)) (-.f64 #s(literal 2 binary64) (.f64 x x)))) (-.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 2 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)))) x) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/720 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/720 binary64))) #s(literal 1/24 binary64))))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64))))) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/720 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/720 binary64))) #s(literal 1/24 binary64)))))))))

Outputs

(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))))

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
90.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts

22 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(/.f64 (/.f64 #s(literal 2 binary64) x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 1/12 binary64)) x))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (/.f64 #s(literal 2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/720 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/720 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))))))
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))

Outputs
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))))))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
90.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes12.0ms (0.1%)

Counts

20 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(/.f64 (/.f64 #s(literal 2 binary64) x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 1/12 binary64)) x))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (/.f64 #s(literal 2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/720 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/720 binary64))))

Outputs
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/720 binary64))))

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
90.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts

19 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(/.f64 (/.f64 #s(literal 2 binary64) x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 1/12 binary64)) x))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (/.f64 #s(literal 2 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/720 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))

Outputs

(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))))

(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
90.4%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

12 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(/.f64 (/.f64 #s(literal 2 binary64) x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 1/12 binary64)) x))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))

Outputs
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
86.8%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts

9 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(/.f64 (/.f64 #s(literal 2 binary64) x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64))))

Outputs
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
86.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
70.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

4 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
70.7%	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
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
47.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch18.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.369757691481556e+48	8.819101072479917e+54
14.0ms	1.316503136720616e+25	5.331468178302393e+29

Results

7.0ms

144×

valid

Compiler

Compiled 1369 to 464 computations (66.1% saved)

Precisions

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

ival-exp: 2.0ms (48% of total)

ival-div: 1.0ms (24% of total)

ival-add: 1.0ms (24% of total)

ival-neg: 1.0ms (24% of total)

const: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
1.0ms	3.369757691481556e+48	8.819101072479917e+54

Results

1.0ms

16×

valid

Compiler

Compiled 89 to 40 computations (55.1% saved)

Precisions

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

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

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

ival-add: 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)

bsearch8.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
7.0ms	1.1563794482205836e+76	1.5648970777752576e+77

Results

3.0ms

64×

valid

Compiler

Compiled 253 to 126 computations (50.2% saved)

Precisions

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

ival-exp: 1.0ms (52.9% of total)

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

ival-add: 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)

bsearch21.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	0.00016171603707473912	10.885513810394809

Results

15.0ms

144×

valid

Compiler

Compiled 283 to 172 computations (39.2% saved)

Precisions

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

ival-exp: 3.0ms (58.3% of total)

ival-div: 1.0ms (19.4% of total)

ival-add: 1.0ms (19.4% of total)

ival-neg: 1.0ms (19.4% of total)

const: 0.0ms (0% of total)

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

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.00016171603707473912	10.885513810394809

Results

10.0ms

144×

valid

Compiler

Compiled 247 to 163 computations (34% saved)

Precisions

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

ival-exp: 3.0ms (48.1% of total)

ival-neg: 2.0ms (32.1% of total)

ival-div: 1.0ms (16% of total)

ival-add: 1.0ms (16% of total)

const: 0.0ms (0% of total)

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

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.00016171603707473912	10.885513810394809

Results

8.0ms

144×

valid

Compiler

Compiled 193 to 127 computations (34.2% saved)

Precisions

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

ival-exp: 3.0ms (57.3% of total)

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

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

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

const: 0.0ms (0% of total)

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

bsearch14.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.00016171603707473912	10.885513810394809

Results

8.0ms

144×

valid

Compiler

Compiled 103 to 82 computations (20.4% saved)

Precisions

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

ival-exp: 3.0ms (59.1% of total)

ival-div: 1.0ms (19.7% of total)

ival-add: 1.0ms (19.7% of total)

ival-neg: 1.0ms (19.7% of total)

const: 0.0ms (0% of total)

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

simplify62.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

110×	`*-commutative_binary64`
88×	`+-commutative_binary64`
60×	`distribute-lft-neg-in_binary64`
60×	`distribute-rgt-neg-in_binary64`
56×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	468
1	189	468
2	256	468
3	310	468
4	353	468
5	374	468
6	382	468
7	385	468
8	386	468

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(if (<=.f64 x #s(literal 45000000000000003003121664 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))))))) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal -2 binary64)))) (+.f64 (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal -2 binary64)))) #s(literal -4 binary64))))) (-.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (if (<=.f64 x #s(literal 4999999999999999732451384737740896598436207394816 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))))))) (/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
(if (<=.f64 x #s(literal 4999999999999999732451384737740896598436207394816 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))))))) (/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))
(if (<=.f64 x #s(literal 149999999999999990989639731795917682953773097706373436242150705195545389957120 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))))))) (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/720 binary64))))
(if (<=.f64 x #s(literal 2589569785738035/1125899906842624 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64))))) (/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))
(if (<=.f64 x #s(literal 4278419646001971/2251799813685248 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64))))) (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(if (<=.f64 x #s(literal 4165829655317709/1125899906842624 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 x x))) (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
#s(literal 1 binary64)

Outputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(if (<=.f64 x #s(literal 45000000000000003003121664 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -2 binary64))))))) (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal -2 binary64)))) (+.f64 (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal -2 binary64)))) #s(literal -4 binary64))))) (-.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (if (<=.f64 x #s(literal 4999999999999999732451384737740896598436207394816 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))))))) (/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
(if (<=.f64 x #s(literal 4999999999999999732451384737740896598436207394816 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))))))) (/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))
(if (<=.f64 x #s(literal 149999999999999990989639731795917682953773097706373436242150705195545389957120 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))))))) (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (.f64 x x)))))
(if (<=.f64 x #s(literal 149999999999999990989639731795917682953773097706373436242150705195545389957120 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))))) (-.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))))))) (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/720 binary64))))
(if (<=.f64 x #s(literal 2589569785738035/1125899906842624 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64))))) (/.f64 #s(literal 720 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))
(if (<=.f64 x #s(literal 4278419646001971/2251799813685248 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64))))) (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(if (<=.f64 x #s(literal 4165829655317709/1125899906842624 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 x x))) (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
#s(literal 1 binary64)

soundness2.2s (25.6%)

Rules

4628×	`-lowering-.f32`
4628×	`-lowering-.f64`
3916×	`-lowering-.f32`
3916×	`-lowering-.f64`
3912×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	119	1222
1	330	1167
2	931	1151
3	2796	1118
4	5692	1118
0	8132	1118
0	49	336
1	389	262
2	3591	256
0	8294	256
0	167	2136
1	465	1987
2	1269	1971
3	5502	1971
0	8669	1971
0	221	2439
1	619	2289
2	1767	2255
3	5120	2253
0	8273	2253
0	20	100
1	141	86
2	1212	83
0	8242	83
0	7	15
1	37	12
2	275	12
3	2602	12
0	9652	12
0	66	279
1	170	260
2	460	256
3	1283	256
4	2683	256
5	4419	256
6	7120	256
0	8043	256

Stop Event

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

Compiler

Compiled 1037 to 468 computations (54.9% saved)

preprocess72.0ms (0.8%)

Remove: (abs x)
Compiler: Compiled 966 to 240 computations (75.2% saved)

Iter	Nodes	Cost
0	12	24
1	30	24
2	61	24
3	108	24
4	191	24
5	294	24
6	384	24
7	482	24
8	523	24
9	541	24
10	565	24
11	573	24
0	7	8
1	14	8
2	21	8
3	25	8
4	34	8
5	41	8
6	49	8
7	57	8
8	60	8
9	61	8
0	61	8

Iter	Nodes	Cost
0	109	468
1	189	468
2	256	468
3	310	468
4	353	468
5	374	468
6	382	468
7	385	468
8	386	468

Iter	Nodes	Cost
0	12	24
1	30	24
2	61	24
3	108	24
4	191	24
5	294	24
6	384	24
7	482	24
8	523	24
9	541	24
10	565	24
11	573	24
0	7	8
1	14	8
2	21	8
3	25	8
4	34	8
5	41	8
6	49	8
7	57	8
8	60	8
9	61	8
0	61	8

Iter	Nodes	Cost
0	109	468
1	189	468
2	256	468
3	310	468
4	353	468
5	374	468
6	382	468
7	385	468
8	386	468

analyze0.0ms (0%)

sample736.0ms (8.6%)

preprocess53.0ms (0.6%)

explain67.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize28.0ms (0.3%)

series3.0ms (0%)

rewrite358.0ms (4.2%)

simplify246.0ms (2.9%)

eval50.0ms (0.6%)

prune41.0ms (0.5%)

simplify150.0ms (1.7%)

localize122.0ms (1.4%)

series11.0ms (0.1%)

rewrite364.0ms (4.2%)

simplify244.0ms (2.8%)

eval88.0ms (1%)

prune67.0ms (0.8%)

simplify213.0ms (2.5%)

localize251.0ms (2.9%)

series21.0ms (0.2%)

rewrite310.0ms (3.6%)

simplify310.0ms (3.6%)

eval314.0ms (3.6%)

prune169.0ms (2%)

simplify251.0ms (2.9%)

localize317.0ms (3.7%)

series12.0ms (0.1%)

rewrite501.0ms (5.8%)

simplify301.0ms (3.5%)

eval238.0ms (2.8%)

prune172.0ms (2%)

regimes51.0ms (0.6%)

regimes23.0ms (0.3%)

regimes20.0ms (0.2%)

regimes15.0ms (0.2%)

regimes12.0ms (0.1%)

regimes8.0ms (0.1%)

regimes12.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

bsearch18.0ms (0.2%)

bsearch2.0ms (0%)

bsearch8.0ms (0.1%)

bsearch21.0ms (0.2%)

bsearch16.0ms (0.2%)

bsearch15.0ms (0.2%)

bsearch14.0ms (0.2%)

simplify62.0ms (0.7%)

soundness2.2s (25.6%)

preprocess72.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	24
1	30	24
2	61	24
3	108	24
4	191	24
5	294	24
6	384	24
7	482	24
8	523	24
9	541	24
10	565	24
11	573	24
0	7	8
1	14	8
2	21	8
3	25	8
4	34	8
5	41	8
6	49	8
7	57	8
8	60	8
9	61	8
0	61	8

Iter	Nodes	Cost
0	109	468
1	189	468
2	256	468
3	310	468
4	353	468
5	374	468
6	382	468
7	385	468
8	386	468