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)

sample640.0ms (8.4%)

Results

468.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 301.0ms

ival-exp: 141.0ms (46.8% of total)

ival-div: 64.0ms (21.2% of total)

ival-add: 47.0ms (15.6% of total)

ival-neg: 36.0ms (11.9% of total)

const: 10.0ms (3.3% of total)

backward-pass: 3.0ms (1% of total)

Bogosity

preprocess28.0ms (0.4%)

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)

explain61.0ms (0.8%)

FPErrors

Click to see full error table

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

Results

33.0ms

512×

valid

Compiler

Compiled 59 to 23 computations (61% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-exp: 6.0ms (38.1% of total)

ival-div: 3.0ms (19% of total)

ival-add: 3.0ms (19% of total)

ival-neg: 2.0ms (12.7% of total)

const: 1.0ms (6.3% 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)

simplify6.0ms (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 (0.4%)

Localize:

Found 4 expressions of interest:

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

Results

19.0ms

256×

valid

Compiler

Compiled 25 to 8 computations (68% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-exp: 5.0ms (48.8% of total)

ival-div: 2.0ms (19.5% of total)

ival-add: 1.0ms (9.8% of total)

ival-neg: 1.0ms (9.8% of total)

const: 0.0ms (0% of total)

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

series3.0ms (0%)

Counts

5 → 60

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt 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))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>

Calls

15 calls:

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

rewrite319.0ms (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	17
1	37	14
2	277	14
3	2605	14
0	9728	14

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 334

Calls

Call 1

Inputs
(exp x)
(/ 2 (+ (exp x) (exp (neg x))))
(+ (exp x) (exp (neg x)))
(exp (neg x))
(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 (+.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) (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 (+.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) (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))))))
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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)))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(+.f64 (log.f64 (exp.f64 (.f64 x #s(literal -1/2 binary64)))) (log.f64 (exp.f64 (.f64 x #s(literal -1/2 binary64)))))
(+.f64 (log.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64))))) (log.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64))))))
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 0 binary64) (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)))))
(-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) x))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) (.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x))
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(neg.f64 x)
(neg.f64 (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) x)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal -1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x)
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))

simplify205.0ms (2.7%)

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: 1 (0.0ms)

Iter	Nodes	Cost
0	66	303
1	170	273
2	461	273
3	1285	273
4	2689	273
5	4425	273
6	7125	273
0	8048	273

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
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))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)

Outputs
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
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 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) (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 (.f64 x 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))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)

eval45.0ms (0.6%)

Compiler: Compiled 7332 to 1189 computations (83.8% saved)

prune50.0ms (0.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	388	6	394
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	389	6	395

Accuracy

100.0%

Counts

395 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.0%	(/.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))))))
	94.6%	(/.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 (.f64 x x) #s(literal 1/360 binary64)))))))))
▶	80.2%	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
▶	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))
▶	45.2%	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64))))))
▶	46.0%	#s(literal 1 binary64)

Compiler

Compiled 134 to 90 computations (32.8% saved)

simplify162.0ms (2.1%)

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

2436×	`sum3-define`
2132×	`fnmadd-define`
2034×	`fma-define`
1540×	`sum4-define`
1520×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	115
1	59	104
2	158	103
3	351	103
4	476	103
5	503	103
6	516	103
7	596	103
8	1374	103
9	1790	103
10	2430	103
11	2872	103
12	3698	103
13	5393	103
14	6978	103
0	8053	103

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

localize108.0ms (1.4%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
✓	accuracy	99.8%	(/.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	99.1%	(.f64 (.f64 x x) #s(literal 1/12 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64))))))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal 5/24 binary64))))
✓	accuracy	100.0%	(.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))))
✓	accuracy	99.2%	(.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	98.7%	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))
✓	accuracy	100.0%	(cosh.f64 x)

Results

71.0ms

256×

valid

Compiler

Compiled 138 to 22 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-div: 14.0ms (33.3% of total)

ival-mult: 10.0ms (23.8% of total)

...c/correct-round.rkt:119:19: 8.0ms (19% of total)

ival-add: 6.0ms (14.3% of total)

ival-cosh: 3.0ms (7.1% of total)

const: 1.0ms (2.4% of total)

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

series11.0ms (0.1%)

Counts

14 → 168

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 (* 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 x)>
#<alt (* x (- (* 5/24 (pow x 2)) 1/2))>
#<alt (* x (- (* 5/24 (pow x 2)) 1/2))>
#<alt (* x (- (* 5/24 (pow x 2)) 1/2))>
#<alt (* 5/24 (pow x 3))>
#<alt (* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 5/24 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24)))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24)))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24)))>
#<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

42 calls:

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

rewrite424.0ms (5.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3902×	`-lowering-.f32`
3902×	`-lowering-.f64`
3378×	`/-lowering-/.f32`
3378×	`/-lowering-/.f64`
2194×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	92
1	143	82
2	1178	81
0	8498	81

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 407

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))))
(* 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 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 #s(literal 8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 16 binary64) (+.f64 (.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 #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 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 #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)))))
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(.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 x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/1728 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1/144 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))))))
(.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))) (+.f64 (.f64 x x) (.f64 #s(literal -1/12 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 #s(literal -1/12 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.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))))))
(.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 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.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)

simplify237.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

2602×	`-lowering-.f32`
2602×	`-lowering-.f64`
2190×	`sum3-define`
1532×	`+-lowering-+.f64`
1532×	`+-lowering-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	129	1307
1	356	1101
2	1007	1097
3	3104	1053
4	6518	1053
0	8030	1053

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

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 x)
(* x (- (* 5/24 (pow x 2)) 1/2))
(* x (- (* 5/24 (pow x 2)) 1/2))
(* x (- (* 5/24 (pow x 2)) 1/2))
(* 5/24 (pow x 3))
(* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* 5/24 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24)))
-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 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 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) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) 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) (+ 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 (.f64 x 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 (.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 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (.f64 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 #s(literal 8 binary64) (.f64 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 #s(literal 8 binary64) (.f64 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 #s(literal 8 binary64) (.f64 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 x (.f64 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 x (.f64 x #s(literal 5/24 binary64)))))))
(* 5/24 (pow x 4))
(.f64 x (.f64 #s(literal 5/24 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 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 x (.f64 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 x (.f64 x #s(literal 5/24 binary64)))))))
(* 5/24 (pow x 4))
(.f64 x (.f64 #s(literal 5/24 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 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 x (.f64 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 x (.f64 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 x (.f64 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 x (.f64 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 x (.f64 x #s(literal 5/24 binary64))))))
(* 5/24 (pow x 4))
(.f64 x (.f64 #s(literal 5/24 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 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 x (.f64 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 x (.f64 x #s(literal 5/24 binary64))))))
(* 5/24 (pow x 4))
(.f64 x (.f64 #s(literal 5/24 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 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 x (.f64 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 x (.f64 x #s(literal 5/24 binary64))))))
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* x (- (* 5/24 (pow x 2)) 1/2))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x #s(literal 5/24 binary64)))))
(* x (- (* 5/24 (pow x 2)) 1/2))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x #s(literal 5/24 binary64)))))
(* x (- (* 5/24 (pow x 2)) 1/2))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x #s(literal 5/24 binary64)))))
(* 5/24 (pow x 3))
(.f64 #s(literal 5/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x #s(literal 5/24 binary64)))))
(* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x #s(literal 5/24 binary64)))))
(* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x #s(literal 5/24 binary64)))))
(* 5/24 (pow x 3))
(.f64 #s(literal 5/24 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24)))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x #s(literal 5/24 binary64)))))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24)))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x #s(literal 5/24 binary64)))))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24)))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 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 x (.f64 x #s(literal 5/24 binary64))))
(- (* 5/24 (pow x 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 5/24 binary64))))
(- (* 5/24 (pow x 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 5/24 binary64))))
(* 5/24 (pow x 2))
(.f64 x (.f64 x #s(literal 5/24 binary64)))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 5/24 binary64))))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 5/24 binary64))))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 5/24 binary64))))
(* 5/24 (pow x 2))
(.f64 x (.f64 x #s(literal 5/24 binary64)))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 5/24 binary64))))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 5/24 binary64))))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 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 x (.f64 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 2880 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 27648 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 288 binary64) (.f64 x x)) #s(literal -24 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 2880 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 27648 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 288 binary64) (.f64 x x)) #s(literal -24 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 x (.f64 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 x (.f64 x #s(literal 1/12 binary64))))))
(* 1/12 (pow x 4))
(.f64 x (.f64 (.f64 x (.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 x (.f64 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 x (.f64 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 x (.f64 x #s(literal 1/12 binary64))))))
(* 1/12 (pow x 4))
(.f64 x (.f64 (.f64 x (.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 x (.f64 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 x (.f64 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 x (.f64 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 x (.f64 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 x (.f64 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 x (.f64 x #s(literal 1/12 binary64)))))
(* 1/12 (pow x 4))
(.f64 x (.f64 (.f64 x (.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 x (.f64 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 x (.f64 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 x (.f64 x #s(literal 1/12 binary64)))))
(* 1/12 (pow x 4))
(.f64 x (.f64 (.f64 x (.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 x (.f64 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 x (.f64 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 x (.f64 x #s(literal 1/12 binary64)))))
(* 5/24 (pow x 2))
(.f64 x (.f64 x #s(literal 5/24 binary64)))
(* 5/24 (pow x 2))
(.f64 x (.f64 x #s(literal 5/24 binary64)))
(* 5/24 (pow x 2))
(.f64 x (.f64 x #s(literal 5/24 binary64)))
(* 5/24 (pow x 2))
(.f64 x (.f64 x #s(literal 5/24 binary64)))
(* 5/24 (pow x 2))
(.f64 x (.f64 x #s(literal 5/24 binary64)))
(* 5/24 (pow x 2))
(.f64 x (.f64 x #s(literal 5/24 binary64)))
(* 5/24 (pow x 2))
(.f64 x (.f64 x #s(literal 5/24 binary64)))
(* 5/24 (pow x 2))
(.f64 x (.f64 x #s(literal 5/24 binary64)))
(* 5/24 (pow x 2))
(.f64 x (.f64 x #s(literal 5/24 binary64)))
(* 5/24 (pow x 2))
(.f64 x (.f64 x #s(literal 5/24 binary64)))
(* 5/24 (pow x 2))
(.f64 x (.f64 x #s(literal 5/24 binary64)))
(* 5/24 (pow x 2))
(.f64 x (.f64 x #s(literal 5/24 binary64)))
(* 1/12 (pow x 2))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(.f64 x (.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(.f64 x (.f64 x #s(literal 1/12 binary64)))

eval154.0ms (2%)

Compiler: Compiled 16910 to 1695 computations (90% saved)

prune102.0ms (1.3%)

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	623	12	635
Fresh	1	0	1
Picked	0	5	5
Done	0	0	0
Total	624	17	641

Accuracy

100.0%

Counts

641 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.9%	(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
	44.8%	(/.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 16 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 #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))))))
	48.2%	(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
	45.6%	(/.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)))))))
	45.2%	(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 (.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)))))
	44.8%	(/.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)))))))
	91.0%	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))))
✓	91.0%	(/.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))))))
✓	80.2%	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
	48.4%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64))))))
▶	48.2%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64))))
▶	37.7%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
▶	94.6%	(/.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))))))))
✓	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))
▶	45.3%	(+.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)))))))
✓	45.2%	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64))))))
✓	46.0%	#s(literal 1 binary64)

Compiler

Compiled 757 to 343 computations (54.7% saved)

simplify63.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.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)))))
✓	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 5/24 binary64) (.f64 (.f64 x x) #s(literal -1/12 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 5/24 binary64) (.f64 (.f64 x x) #s(literal -1/12 binary64)))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 #s(literal -288 binary64) (*.f64 x x))
✓	cost-diff	0	(+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x)))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64))
✓	cost-diff	0	(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
✓	cost-diff	128	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 (.f64 x (.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 (.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

1552×	`fma-define`
1344×	`fma-lowering-fma.f32`
1344×	`fma-lowering-fma.f64`
494×	`-lowering-.f32`
494×	`-lowering-.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	223
1	105	194
2	352	192
3	856	192
4	1508	192
5	1964	192
6	2043	192
0	2043	192

Stop Event

1×	iter limit
1×	saturated

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 x)
x
(/ 2 (* x (* (* x (* x x)) 1/12)))
2
(* x (* (* x (* x x)) 1/12))
x
(* (* x (* x x)) 1/12)
(* x (* x x))
(* x x)
1/12
(/ (+ 24 (/ -288 (* x x))) (* x (* x (* x x))))
(+ 24 (/ -288 (* x x)))
24
(/ -288 (* x x))
-288
(* x x)
x
(* x (* x (* x x)))
(* x (* x x))
(+ 1 (* (* x x) (+ -1/2 (* (* x x) (+ 5/24 (* (* x x) -1/12))))))
1
(* (* x x) (+ -1/2 (* (* x x) (+ 5/24 (* (* x x) -1/12)))))
(* x x)
x
(+ -1/2 (* (* x x) (+ 5/24 (* (* x x) -1/12))))
-1/2
(* (* x x) (+ 5/24 (* (* x x) -1/12)))
(+ 5/24 (* (* x x) -1/12))
5/24
(* (* x x) -1/12)
-1/12

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

localize199.0ms (2.6%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 5/24 binary64) (.f64 (.f64 x x) #s(literal -1/12 binary64)))
✓	accuracy	100.0%	(.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))))))
✓	accuracy	99.9%	(.f64 (.f64 x x) (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 x x) #s(literal -1/12 binary64))))
✓	accuracy	99.1%	(.f64 (.f64 x x) #s(literal -1/12 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
✓	accuracy	98.4%	(/.f64 #s(literal -288 binary64) (*.f64 x x))
✓	accuracy	99.9%	(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64))
✓	accuracy	99.7%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	98.6%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	accuracy	99.9%	(.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 #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	99.1%	(.f64 (.f64 x x) #s(literal 1/720 binary64))

Results

96.0ms

256×

valid

Compiler

Compiled 276 to 36 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 19.0ms (32.8% of total)

...c/correct-round.rkt:119:19: 17.0ms (29.3% of total)

ival-add: 12.0ms (20.7% of total)

ival-div: 9.0ms (15.5% of total)

const: 1.0ms (1.7% of total)

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

series14.0ms (0.2%)

Counts

21 → 252

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 (* x x)) 1/12)))>
#<alt (* x (* (* x (* x x)) 1/12))>
#<alt (* (* x (* x x)) 1/12)>
#<alt (* x (* x x))>
#<alt (/ (+ 24 (/ -288 (* x x))) (* x (* x (* x x))))>
#<alt (+ 24 (/ -288 (* x x)))>
#<alt (/ -288 (* x x))>
#<alt (+ 1 (* (* x x) (+ -1/2 (* (* x x) (+ 5/24 (* (* x x) -1/12))))))>
#<alt (* (* x x) (+ -1/2 (* (* x x) (+ 5/24 (* (* x x) -1/12)))))>
#<alt (+ -1/2 (* (* x x) (+ 5/24 (* (* x x) -1/12))))>
#<alt (* (* x x) 1/720)>
#<alt (* (* x x) (+ 1/24 (* (* x x) 1/720)))>
#<alt (* x (* x (* x x)))>
#<alt (* (* x x) -1/12)>
#<alt (* (* x x) (+ 5/24 (* (* x x) -1/12)))>
#<alt (+ 5/24 (* (* 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 (/ 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 (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (/ -288 (pow x 6))>
#<alt (/ (- (* 24 (pow x 2)) 288) (pow x 6))>
#<alt (/ (- (* 24 (pow x 2)) 288) (pow x 6))>
#<alt (/ (- (* 24 (pow x 2)) 288) (pow x 6))>
#<alt (/ 24 (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ -288 (pow x 2))>
#<alt (/ (- (* 24 (pow x 2)) 288) (pow x 2))>
#<alt (/ (- (* 24 (pow x 2)) 288) (pow x 2))>
#<alt (/ (- (* 24 (pow x 2)) 288) (pow x 2))>
#<alt 24>
#<alt (- 24 (* 288 (/ 1 (pow x 2))))>
#<alt (- 24 (* 288 (/ 1 (pow x 2))))>
#<alt (- 24 (* 288 (/ 1 (pow x 2))))>
#<alt 24>
#<alt (- 24 (* 288 (/ 1 (pow x 2))))>
#<alt (- 24 (* 288 (/ 1 (pow x 2))))>
#<alt (- 24 (* 288 (/ 1 (pow x 2))))>
#<alt (/ -288 (pow x 2))>
#<alt (/ -288 (pow x 2))>
#<alt (/ -288 (pow x 2))>
#<alt (/ -288 (pow x 2))>
#<alt (/ -288 (pow x 2))>
#<alt (/ -288 (pow x 2))>
#<alt (/ -288 (pow x 2))>
#<alt (/ -288 (pow x 2))>
#<alt (/ -288 (pow x 2))>
#<alt (/ -288 (pow x 2))>
#<alt (/ -288 (pow x 2))>
#<alt (/ -288 (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 (* -1/12 (pow x 6))>
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 1/12))>
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 1/12 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/12 (/ 1/2 (pow x 4)))))>
#<alt (* -1/12 (pow x 6))>
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 1/12))>
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 1/12 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/12 (/ 1/2 (pow x 4)))))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -1/12 (pow x 2)))) 1/2))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -1/12 (pow x 2)))) 1/2))>
#<alt (* -1/12 (pow x 6))>
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 1/12))>
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 1/12 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 1/12 (/ 1/2 (pow x 4)))))>
#<alt (* -1/12 (pow x 6))>
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 1/12))>
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 1/12 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 1/12 (/ 1/2 (pow x 4)))))>
#<alt -1/2>
#<alt (- (* 5/24 (pow x 2)) 1/2)>
#<alt (- (* (pow x 2) (+ 5/24 (* -1/12 (pow x 2)))) 1/2)>
#<alt (- (* (pow x 2) (+ 5/24 (* -1/12 (pow x 2)))) 1/2)>
#<alt (* -1/12 (pow x 4))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 1/12))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 1/12 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 1/12 (/ 1/2 (pow x 4)))))>
#<alt (* -1/12 (pow x 4))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 1/12))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 1/12 (/ 1/2 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 1/12 (/ 1/2 (pow x 4)))))>
#<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 (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (* -1/12 (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 (* 5/24 (pow x 2))>
#<alt (* (pow x 2) (+ 5/24 (* -1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 5/24 (* -1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 5/24 (* -1/12 (pow x 2))))>
#<alt (* -1/12 (pow x 4))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 1/12))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 1/12))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 1/12))>
#<alt (* -1/12 (pow x 4))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 1/12))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 1/12))>
#<alt (* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 1/12))>
#<alt 5/24>
#<alt (+ 5/24 (* -1/12 (pow x 2)))>
#<alt (+ 5/24 (* -1/12 (pow x 2)))>
#<alt (+ 5/24 (* -1/12 (pow x 2)))>
#<alt (* -1/12 (pow x 2))>
#<alt (* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 1/12))>
#<alt (* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 1/12))>
#<alt (* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 1/12))>
#<alt (* -1/12 (pow x 2))>
#<alt (* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 1/12))>
#<alt (* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 1/12))>
#<alt (* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 1/12))>

Calls

63 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(* (* x x) -1/12)
0.0ms	x	@	0	(/ 2 (* x (* (* x (* x x)) 1/12)))
0.0ms	x	@	inf	(/ 1 (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ 1/24 (* (* x x) 1/720)))))))
0.0ms	x	@	0	(/ (+ 24 (/ -288 (* x x))) (* x (* x (* x x))))
0.0ms	x	@	0	(* (* x (* x x)) 1/12)

rewrite425.0ms (5.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3766×	`-lowering-.f32`
3766×	`-lowering-.f64`
3130×	`/-lowering-/.f32`
3130×	`/-lowering-/.f64`
2400×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	177
1	232	150
2	2098	149
0	9458	149

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 589

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 (* x x)) 1/12)))
(* x (* (* x (* x x)) 1/12))
(* (* x (* x x)) 1/12)
(* x (* x x))
(/ (+ 24 (/ -288 (* x x))) (* x (* x (* x x))))
(+ 24 (/ -288 (* x x)))
(/ -288 (* x x))
(+ 1 (* (* x x) (+ -1/2 (* (* x x) (+ 5/24 (* (* x x) -1/12))))))
(* (* x x) (+ -1/2 (* (* x x) (+ 5/24 (* (* x x) -1/12)))))
(+ -1/2 (* (* x x) (+ 5/24 (* (* x x) -1/12))))
(* (* x x) 1/720)
(* (* x x) (+ 1/24 (* (* x x) 1/720)))
(* x (* x (* x x)))
(* (* x x) -1/12)
(* (* x x) (+ 5/24 (* (* x x) -1/12)))
(+ 5/24 (* (* x x) -1/12))

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 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 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))))))))))))
(/.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 x (.f64 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 x (.f64 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 x (.f64 x #s(literal 1/720 binary64))))))))))))
(/.f64 #s(literal -1 binary64) (neg.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 x (.f64 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 x (.f64 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 x (.f64 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 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 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)))))))))) (+.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 x (*.f64 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 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 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))))))))))))
(.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 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 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))))))))))))
(.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 x (.f64 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 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 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))))))))) (.f64 (.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))))))))) (.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))))))))))))) (+.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 x (.f64 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 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 (.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))))))))) (.f64 (.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))))))))) (.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))))))))))))) (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 x (.f64 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 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 #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 (.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)))))))))))) (-.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 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 #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 (.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)))))))))))) (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 x (.f64 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 x (.f64 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 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 x) (.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 (.f64 x x) #s(literal 2 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64))))))))
(exp.f64 (neg.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 x (*.f64 x #s(literal 1/720 binary64)))))))))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 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 x (.f64 x #s(literal 1/720 binary64)))))))))) #s(literal -1 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 x (.f64 x #s(literal 1/720 binary64))))))))))) (/.f64 (.f64 (.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))))))))) (.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)))))))))) (-.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 x (*.f64 x #s(literal 1/720 binary64))))))))))))
(-.f64 (/.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 x (.f64 x #s(literal 1/720 binary64))))))))))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 (.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))))))))) (.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)))))))))) (-.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 x (*.f64 x #s(literal 1/720 binary64))))))))))) #s(literal 1 binary64)))
(-.f64 (/.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 x (.f64 x #s(literal 1/720 binary64)))))))))))) (/.f64 (.f64 (.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))))))))) (.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)))))))))) (.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 x (*.f64 x #s(literal 1/720 binary64)))))))))))))
(-.f64 (/.f64 (.f64 (.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))))))))) (.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)))))))))) (-.f64 (.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))) (/.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 x (*.f64 x #s(literal 1/720 binary64))))))))) #s(literal 1 binary64))))
(fma.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 x (.f64 x #s(literal 1/720 binary64))))))))) #s(literal 1 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 x (/.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (.f64 x x) (.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 x (.f64 x #s(literal 1/2 binary64)) (+.f64 (.f64 (.f64 x x) (.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) #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 x x) (.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 #s(literal 1/2 binary64) (.f64 x x) (+.f64 (.f64 (.f64 x x) (.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))
(fma.f64 (.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) #s(literal 1 binary64))
(fma.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 #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) x (+.f64 (.f64 (.f64 x x) (.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 binary64) 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 #s(literal 1 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))))))) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 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 x x) #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 x (.f64 x #s(literal 1/720 binary64))))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 x (.f64 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 x (.f64 x #s(literal 1/720 binary64))))))))) #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 x (.f64 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 x (.f64 x #s(literal 1/720 binary64))))))))) (.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))))))))))))))
(/.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 x (.f64 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 x (.f64 x #s(literal 1/720 binary64))))))))) (.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)))))))))))))
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(fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal -1/12 binary64)) (.f64 (*.f64 x x) #s(literal 5/24 binary64)))
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(.f64 x (.f64 x (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 x x) #s(literal -1/12 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 x x) #s(literal -1/12 binary64))))
(.f64 (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 x x) #s(literal -1/12 binary64))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 5/24 binary64) (.f64 (.f64 x x) #s(literal -1/12 binary64)))) x)
(+.f64 #s(literal 5/24 binary64) (.f64 (.f64 x x) #s(literal -1/12 binary64)))
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(-.f64 (/.f64 #s(literal 25/576 binary64) (+.f64 #s(literal 5/24 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64))))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64)) (+.f64 #s(literal 5/24 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -1/12 binary64)) #s(literal 5/24 binary64))) (/.f64 #s(literal 25/576 binary64) (-.f64 (.f64 (.f64 x x) #s(literal -1/12 binary64)) #s(literal 5/24 binary64))))
(fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 5/24 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 5/24 binary64))
(fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 5/24 binary64))
(fma.f64 (*.f64 x #s(literal -1/12 binary64)) x #s(literal 5/24 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 25/576 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/12 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -1/12 binary64)) #s(literal 5/24 binary64)))) (+.f64 #s(literal 125/13824 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 #s(literal 5/24 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64)))) (-.f64 #s(literal 25/576 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 25/576 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/12 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -1/12 binary64)) #s(literal 5/24 binary64)))) (+.f64 #s(literal 125/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/1728 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 5/24 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64)))) (-.f64 #s(literal 25/576 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64))))))
(/.f64 (+.f64 #s(literal 125/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/1728 binary64)))) (+.f64 #s(literal 25/576 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/12 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal -1/12 binary64)) #s(literal 5/24 binary64)))))
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(/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64)) #s(literal 25/576 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -1/12 binary64)) #s(literal 5/24 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 25/576 binary64) (+.f64 #s(literal 5/24 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64))))) (.f64 (+.f64 #s(literal 5/24 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64)))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64)))) (.f64 (+.f64 #s(literal 5/24 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64)))) (+.f64 #s(literal 5/24 binary64) (.f64 x (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 125/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/1728 binary64)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 25/576 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/12 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal -1/12 binary64)) #s(literal 5/24 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 25/576 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 5/24 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64)) #s(literal 25/576 binary64))) (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/12 binary64)) #s(literal 5/24 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 25/576 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/12 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -1/12 binary64)) #s(literal 5/24 binary64)))) (+.f64 #s(literal 125/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/1728 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 5/24 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64)))) (-.f64 #s(literal 25/576 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64)))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 125/13824 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 25/576 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/12 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -1/12 binary64)) #s(literal 5/24 binary64))))))
(.f64 (-.f64 #s(literal 25/576 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/144 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 5/24 binary64) (.f64 x (*.f64 x #s(literal 1/12 binary64))))))

simplify296.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

2910×	`-lowering-.f32`
2910×	`-lowering-.f64`
2148×	`fma-lowering-fma.f32`
2148×	`fma-lowering-fma.f64`
1874×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	110	1908
1	299	1660
2	839	1618
3	2291	1594
4	5212	1594
0	8332	1594

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

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))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ -288 (pow x 6))
(/ (- (* 24 (pow x 2)) 288) (pow x 6))
(/ (- (* 24 (pow x 2)) 288) (pow x 6))
(/ (- (* 24 (pow x 2)) 288) (pow x 6))
(/ 24 (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ 24 (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ -288 (pow x 2))
(/ (- (* 24 (pow x 2)) 288) (pow x 2))
(/ (- (* 24 (pow x 2)) 288) (pow x 2))
(/ (- (* 24 (pow x 2)) 288) (pow x 2))
24
(- 24 (* 288 (/ 1 (pow x 2))))
(- 24 (* 288 (/ 1 (pow x 2))))
(- 24 (* 288 (/ 1 (pow x 2))))
24
(- 24 (* 288 (/ 1 (pow x 2))))
(- 24 (* 288 (/ 1 (pow x 2))))
(- 24 (* 288 (/ 1 (pow x 2))))
(/ -288 (pow x 2))
(/ -288 (pow x 2))
(/ -288 (pow x 2))
(/ -288 (pow x 2))
(/ -288 (pow x 2))
(/ -288 (pow x 2))
(/ -288 (pow x 2))
(/ -288 (pow x 2))
(/ -288 (pow x 2))
(/ -288 (pow x 2))
(/ -288 (pow x 2))
(/ -288 (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)))
(* -1/12 (pow x 6))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 1/12))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 1/12 (/ 1/2 (pow x 4)))))
(* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/12 (/ 1/2 (pow x 4)))))
(* -1/12 (pow x 6))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 1/12))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 1/12 (/ 1/2 (pow x 4)))))
(* (pow x 6) (- (+ (* 5/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/12 (/ 1/2 (pow x 4)))))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 5/24 (pow x 2)) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -1/12 (pow x 2)))) 1/2))
(* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -1/12 (pow x 2)))) 1/2))
(* -1/12 (pow x 6))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 1/12))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 1/12 (/ 1/2 (pow x 4)))))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 1/12 (/ 1/2 (pow x 4)))))
(* -1/12 (pow x 6))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) 1/12))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 1/12 (/ 1/2 (pow x 4)))))
(* (pow x 6) (- (* 5/24 (/ 1 (pow x 2))) (+ 1/12 (/ 1/2 (pow x 4)))))
-1/2
(- (* 5/24 (pow x 2)) 1/2)
(- (* (pow x 2) (+ 5/24 (* -1/12 (pow x 2)))) 1/2)
(- (* (pow x 2) (+ 5/24 (* -1/12 (pow x 2)))) 1/2)
(* -1/12 (pow x 4))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 1/12))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 1/12 (/ 1/2 (pow x 4)))))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 1/12 (/ 1/2 (pow x 4)))))
(* -1/12 (pow x 4))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 1/12))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 1/12 (/ 1/2 (pow x 4)))))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) (+ 1/12 (/ 1/2 (pow x 4)))))
(* 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)))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* -1/12 (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))
(* 5/24 (pow x 2))
(* (pow x 2) (+ 5/24 (* -1/12 (pow x 2))))
(* (pow x 2) (+ 5/24 (* -1/12 (pow x 2))))
(* (pow x 2) (+ 5/24 (* -1/12 (pow x 2))))
(* -1/12 (pow x 4))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 1/12))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 1/12))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 1/12))
(* -1/12 (pow x 4))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 1/12))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 1/12))
(* (pow x 4) (- (* 5/24 (/ 1 (pow x 2))) 1/12))
5/24
(+ 5/24 (* -1/12 (pow x 2)))
(+ 5/24 (* -1/12 (pow x 2)))
(+ 5/24 (* -1/12 (pow x 2)))
(* -1/12 (pow x 2))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 1/12))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 1/12))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 1/12))
(* -1/12 (pow x 2))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 1/12))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 1/12))
(* (pow x 2) (- (* 5/24 (/ 1 (pow x 2))) 1/12))

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

eval132.0ms (1.7%)

Compiler: Compiled 27005 to 2331 computations (91.4% saved)

prune126.0ms (1.7%)

Pruning

23 alts after pruning (15 fresh and 8 done)

	Pruned	Kept	Total
New	1012	11	1023
Fresh	3	4	7
Picked	2	3	5
Done	0	5	5
Total	1017	23	1040

Accuracy

100.0%

Counts

1040 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.0%	(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (.f64 x (.f64 x x))) #s(literal 1/12 binary64))
▶	36.5%	(/.f64 (/.f64 #s(literal 2 binary64) x) x)
	50.4%	(/.f64 (/.f64 #s(literal -288 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))
	48.2%	(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
	45.6%	(/.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)))))))
	45.2%	(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 (.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)))))
	44.8%	(/.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)))))))
✓	91.0%	(/.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))))))
✓	80.2%	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
	48.2%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/12 binary64)))) x))
✓	37.7%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
▶	49.6%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))) (.f64 x (.f64 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))))))))))
✓	94.6%	(/.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))))))))
	46.9%	(/.f64 #s(literal 1 binary64) (.f64 (-.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 x (.f64 x #s(literal 1/720 binary64))))))))) (.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))))))))))) (/.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 x (.f64 x #s(literal 1/720 binary64)))))))))))))
✓	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))
▶	50.6%	(/.f64 #s(literal -288 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
✓	45.3%	(+.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)))))))
✓	45.2%	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64))))))
	36.5%	(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
	46.9%	(.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 x (.f64 x #s(literal 1/720 binary64))))))))) (.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)))))))))))) (-.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 x (.f64 x #s(literal 1/720 binary64)))))))))))
	48.2%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 24 binary64))
▶	48.0%	(.f64 #s(literal 12 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (*.f64 x x)))
✓	46.0%	#s(literal 1 binary64)

Compiler

Compiled 1009 to 424 computations (58% saved)

simplify211.0ms (2.8%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))))) (*.f64 x x))
✓	cost-diff	0	(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))) (.f64 x (.f64 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))))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))) (.f64 x (.f64 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)))))))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))) (.f64 x (.f64 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))))))))))
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) x)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 2 binary64) x) (.f64 x (.f64 x x)))
✓	cost-diff	128	(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (.f64 x (.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 (/.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 x x))
✓	cost-diff	128	(.f64 #s(literal 12 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (*.f64 x x)))
✓	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 (.f64 x (*.f64 x x)))
✓	cost-diff	0	(.f64 x (.f64 x (.f64 x (.f64 x x))))
✓	cost-diff	0	(.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
✓	cost-diff	0	(/.f64 #s(literal -288 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))

Rules

3004×	`+-lowering-+.f64`
3004×	`+-lowering-+.f32`
2630×	`-lowering-.f32`
2630×	`-lowering-.f64`
1616×	`sum5-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	341
1	96	247
2	293	233
3	1297	233
4	4591	233
0	8569	233

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ -288 (* x (* x (* x (* x (* x x))))))
-288
(* x (* x (* x (* x (* x x)))))
x
(* x (* x (* x (* x x))))
(* x (* x (* x x)))
(* x (* x x))
(* x x)
(/ (/ 2 x) x)
(/ 2 x)
2
x
(* 12 (/ (/ 2 (* x x)) (* x x)))
12
(/ (/ 2 (* x x)) (* x x))
(/ 2 (* x x))
2
(* x x)
x
(/ (/ (/ 2 x) (* x (* x x))) 1/12)
(/ (/ 2 x) (* x (* x x)))
(/ 2 x)
2
x
(* x (* x x))
(* x x)
1/12
(/ 1 (+ 1 (/ (* (- 1/4 (* x (* (* x (+ 1/24 (* x (* x 1/720)))) (* x (* x (+ 1/24 (* x (* x 1/720)))))))) (* x x)) (- 1/2 (* x (* x (+ 1/24 (* x (* x 1/720)))))))))
1
(+ 1 (/ (* (- 1/4 (* x (* (* x (+ 1/24 (* x (* x 1/720)))) (* x (* x (+ 1/24 (* x (* x 1/720)))))))) (* x x)) (- 1/2 (* x (* x (+ 1/24 (* x (* x 1/720))))))))
(/ (* (- 1/4 (* x (* (* x (+ 1/24 (* x (* x 1/720)))) (* x (* x (+ 1/24 (* x (* x 1/720)))))))) (* x x)) (- 1/2 (* x (* x (+ 1/24 (* x (* x 1/720)))))))
(* (- 1/4 (* x (* (* x (+ 1/24 (* x (* x 1/720)))) (* x (* x (+ 1/24 (* x (* x 1/720)))))))) (* x x))
(- 1/4 (* x (* (* x (+ 1/24 (* x (* x 1/720)))) (* x (* x (+ 1/24 (* x (* x 1/720))))))))
1/4
(* x (* (* x (+ 1/24 (* x (* x 1/720)))) (* x (* x (+ 1/24 (* x (* x 1/720)))))))
x
(* (* x (+ 1/24 (* x (* x 1/720)))) (* 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))
(* x 1/720)
1/720
(* x (* x (+ 1/24 (* x (* x 1/720)))))
(* x x)
(- 1/2 (* x (* x (+ 1/24 (* x (* x 1/720))))))
1/2

Outputs
(/ -288 (* x (* x (* x (* x (* x x))))))
(/.f64 #s(literal -288 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
-288
#s(literal -288 binary64)
(* x (* x (* x (* x (* x x)))))
(.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
x
(* x (* x (* x (* x x))))
(.f64 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))
(* x x)
(*.f64 x x)
(/ (/ 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
(* 12 (/ (/ 2 (* x x)) (* x x)))
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
12
#s(literal 12 binary64)
(/ (/ 2 (* x x)) (* x x))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 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 (* x x))) 1/12)
(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ (/ 2 x) (* x (* x x)))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
x
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
1/12
#s(literal 1/12 binary64)
(/ 1 (+ 1 (/ (* (- 1/4 (* x (* (* x (+ 1/24 (* x (* x 1/720)))) (* x (* x (+ 1/24 (* x (* x 1/720)))))))) (* 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 (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (-.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))) (-.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 (/ (* (- 1/4 (* x (* (* x (+ 1/24 (* x (* x 1/720)))) (* x (* x (+ 1/24 (* x (* x 1/720)))))))) (* x x)) (- 1/2 (* x (* x (+ 1/24 (* x (* x 1/720))))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (-.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))) (-.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)))))))
(/ (* (- 1/4 (* x (* (* x (+ 1/24 (* x (* x 1/720)))) (* x (* x (+ 1/24 (* x (* x 1/720)))))))) (* x x)) (- 1/2 (* x (* x (+ 1/24 (* x (* x 1/720)))))))
(/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (-.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))) (-.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))))))
(* (- 1/4 (* x (* (* x (+ 1/24 (* x (* x 1/720)))) (* x (* x (+ 1/24 (* x (* x 1/720)))))))) (* x x))
(.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (-.f64 #s(literal -1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))
(- 1/4 (* x (* (* x (+ 1/24 (* x (* x 1/720)))) (* x (* x (+ 1/24 (* x (* x 1/720))))))))
(+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (-.f64 #s(literal -1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/720 binary64))))))
1/4
#s(literal 1/4 binary64)
(* x (* (* x (+ 1/24 (* x (* x 1/720)))) (* x (* x (+ 1/24 (* x (* x 1/720)))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
x
(* (* x (+ 1/24 (* x (* x 1/720)))) (* x (* x (+ 1/24 (* x (* x 1/720))))))
(.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 (.f64 x (.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))
(* x 1/720)
(*.f64 x #s(literal 1/720 binary64))
1/720
#s(literal 1/720 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 x)
(*.f64 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)

localize165.0ms (2.2%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))) (.f64 x (.f64 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))))))))))
✓	accuracy	99.7%	(.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64)))))
✓	accuracy	99.6%	(*.f64 x #s(literal 1/720 binary64))
✓	accuracy	62.1%	(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))) (.f64 x (.f64 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))))))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(/.f64 (/.f64 #s(literal 2 binary64) x) (.f64 x (.f64 x x)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.9%	(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (.f64 x (.f64 x x))) #s(literal 1/12 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 #s(literal 12 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (*.f64 x x)))
✓	accuracy	99.9%	(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 x x))
✓	accuracy	98.6%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) x)
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 2 binary64) x) x)
✓	accuracy	99.9%	(.f64 x (.f64 x (.f64 x (.f64 x x))))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(/.f64 #s(literal -288 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))

Results

100.0ms

256×

valid

Compiler

Compiled 417 to 37 computations (91.1% saved)

Precisions

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

ival-mult: 21.0ms (34.9% of total)

...c/correct-round.rkt:119:19: 16.0ms (26.6% of total)

ival-div: 14.0ms (23.3% of total)

ival-sub: 5.0ms (8.3% of total)

ival-add: 3.0ms (5% of total)

const: 1.0ms (1.7% of total)

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

series34.0ms (0.4%)

Counts

19 → 228

Calls

Call 1

Inputs
#<alt (/ -288 (* x (* x (* x (* x (* x x))))))>
#<alt (* x (* x (* x (* x (* x x)))))>
#<alt (* x (* x (* x (* x x))))>
#<alt (* x (* x (* x x)))>
#<alt (/ (/ 2 x) x)>
#<alt (/ 2 x)>
#<alt (* 12 (/ (/ 2 (* x x)) (* x x)))>
#<alt (/ (/ 2 (* x x)) (* x x))>
#<alt (/ 2 (* x x))>
#<alt (* x x)>
#<alt (/ (/ (/ 2 x) (* x (* x x))) 1/12)>
#<alt (/ (/ 2 x) (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (/ 1 (+ 1 (/ (* (- 1/4 (* x (* (* x (+ 1/24 (* x (* x 1/720)))) (* x (* x (+ 1/24 (* x (* x 1/720)))))))) (* x x)) (- 1/2 (* x (* x (+ 1/24 (* x (* x 1/720)))))))))>
#<alt (+ 1 (/ (* (- 1/4 (* x (* (* x (+ 1/24 (* x (* x 1/720)))) (* x (* x (+ 1/24 (* x (* x 1/720)))))))) (* x x)) (- 1/2 (* x (* x (+ 1/24 (* x (* x 1/720))))))))>
#<alt (/ (* (- 1/4 (* x (* (* x (+ 1/24 (* x (* x 1/720)))) (* x (* x (+ 1/24 (* x (* x 1/720)))))))) (* x x)) (- 1/2 (* x (* x (+ 1/24 (* x (* x 1/720)))))))>
#<alt (* (- 1/4 (* x (* (* x (+ 1/24 (* x (* x 1/720)))) (* x (* x (+ 1/24 (* x (* x 1/720)))))))) (* x x))>
#<alt (* x 1/720)>
#<alt (* x (+ 1/24 (* x (* x 1/720))))>

Outputs
#<alt (/ -288 (pow x 6))>
#<alt (/ -288 (pow x 6))>
#<alt (/ -288 (pow x 6))>
#<alt (/ -288 (pow x 6))>
#<alt (/ -288 (pow x 6))>
#<alt (/ -288 (pow x 6))>
#<alt (/ -288 (pow x 6))>
#<alt (/ -288 (pow x 6))>
#<alt (/ -288 (pow x 6))>
#<alt (/ -288 (pow x 6))>
#<alt (/ -288 (pow x 6))>
#<alt (/ -288 (pow x 6))>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (/ 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 (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 2 (pow x 4))>
#<alt (/ 2 (pow x 4))>
#<alt (/ 2 (pow x 4))>
#<alt (/ 2 (pow x 4))>
#<alt (/ 2 (pow x 4))>
#<alt (/ 2 (pow x 4))>
#<alt (/ 2 (pow x 4))>
#<alt (/ 2 (pow x 4))>
#<alt (/ 2 (pow x 4))>
#<alt (/ 2 (pow x 4))>
#<alt (/ 2 (pow x 4))>
#<alt (/ 2 (pow x 4))>
#<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 (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 (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 2 (pow x 4))>
#<alt (/ 2 (pow x 4))>
#<alt (/ 2 (pow x 4))>
#<alt (/ 2 (pow x 4))>
#<alt (/ 2 (pow x 4))>
#<alt (/ 2 (pow x 4))>
#<alt (/ 2 (pow x 4))>
#<alt (/ 2 (pow x 4))>
#<alt (/ 2 (pow x 4))>
#<alt (/ 2 (pow x 4))>
#<alt (/ 2 (pow x 4))>
#<alt (/ 2 (pow x 4))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt 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 (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* -1/576 (pow x 4))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 4) (- (* -1/8640 (pow x 2)) 1/576))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 4) (- (* (pow x 2) (- (* -1/518400 (pow x 2)) 1/8640)) 1/576))))>
#<alt (* -1/518400 (pow x 10))>
#<alt (* -1 (* (pow x 10) (+ 1/518400 (* 1/8640 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (- (* -1 (/ (+ 1/8640 (* 1/576 (/ 1 (pow x 2)))) (pow x 2))) 1/518400))>
#<alt (* (pow x 10) (- (* 1/4 (/ 1 (pow x 8))) (+ 1/518400 (+ (/ 1/576 (pow x 4)) (* 1/8640 (/ 1 (pow x 2)))))))>
#<alt (* -1/518400 (pow x 10))>
#<alt (* -1 (* (pow x 10) (+ 1/518400 (* 1/8640 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (- (* -1 (/ (+ 1/8640 (* 1/576 (/ 1 (pow x 2)))) (pow x 2))) 1/518400))>
#<alt (* (pow x 10) (- (* 1/4 (/ 1 (pow x 8))) (+ 1/518400 (+ (/ 1/576 (pow x 4)) (* 1/8640 (/ 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 (* 1/24 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)))))>

Calls

57 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/ -288 (* x (* x (* x (* x (* x x))))))
0.0ms	x	@	inf	(/ 1 (+ 1 (/ (* (- 1/4 (* x (* (* x (+ 1/24 (* x (* x 1/720)))) (* x (* x (+ 1/24 (* x (* x 1/720)))))))) (* x x)) (- 1/2 (* x (* x (+ 1/24 (* x (* x 1/720)))))))))
0.0ms	x	@	inf	(/ (* (- 1/4 (* x (* (* x (+ 1/24 (* x (* x 1/720)))) (* x (* x (+ 1/24 (* x (* x 1/720)))))))) (* x x)) (- 1/2 (* x (* x (+ 1/24 (* x (* x 1/720)))))))
0.0ms	x	@	0	(* x (* x (* x (* x x))))
0.0ms	x	@	0	(/ 1 (+ 1 (/ (* (- 1/4 (* x (* (* x (+ 1/24 (* x (* x 1/720)))) (* x (* x (+ 1/24 (* x (* x 1/720)))))))) (* x x)) (- 1/2 (* x (* x (+ 1/24 (* x (* x 1/720)))))))))

rewrite388.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

4532×	`/-lowering-/.f32`
4532×	`/-lowering-/.f64`
3920×	`-lowering-.f32`
3920×	`-lowering-.f64`
1778×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	225
1	211	120
2	1580	113
0	8459	113

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 823

Calls

Call 1

Inputs
(/ -288 (* x (* x (* x (* x (* x x))))))
(* x (* x (* x (* x (* x x)))))
(* x (* x (* x (* x x))))
(* x (* x (* x x)))
(/ (/ 2 x) x)
(/ 2 x)
(* 12 (/ (/ 2 (* x x)) (* x x)))
(/ (/ 2 (* x x)) (* x x))
(/ 2 (* x x))
(* x x)
(/ (/ (/ 2 x) (* x (* x x))) 1/12)
(/ (/ 2 x) (* x (* x x)))
(* x (* x x))
(/ 1 (+ 1 (/ (* (- 1/4 (* x (* (* x (+ 1/24 (* x (* x 1/720)))) (* x (* x (+ 1/24 (* x (* x 1/720)))))))) (* x x)) (- 1/2 (* x (* x (+ 1/24 (* x (* x 1/720)))))))))
(+ 1 (/ (* (- 1/4 (* x (* (* x (+ 1/24 (* x (* x 1/720)))) (* x (* x (+ 1/24 (* x (* x 1/720)))))))) (* x x)) (- 1/2 (* x (* x (+ 1/24 (* x (* x 1/720))))))))
(/ (* (- 1/4 (* x (* (* x (+ 1/24 (* x (* x 1/720)))) (* x (* x (+ 1/24 (* x (* x 1/720)))))))) (* x x)) (- 1/2 (* x (* x (+ 1/24 (* x (* x 1/720)))))))
(* (- 1/4 (* x (* (* x (+ 1/24 (* x (* x 1/720)))) (* x (* x (+ 1/24 (* x (* x 1/720)))))))) (* x x))
(* x 1/720)
(* x (+ 1/24 (* x (* x 1/720))))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (*.f64 x x))) (/.f64 #s(literal -288 binary64) x))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 288 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal -288 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (*.f64 x x)))))
(/.f64 #s(literal -288 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) (.f64 x (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x x))) (/.f64 #s(literal -288 binary64) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x x))) (/.f64 #s(literal -288 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal -288 binary64) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -288 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (*.f64 x x))) (/.f64 (/.f64 #s(literal -288 binary64) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (/.f64 (/.f64 #s(literal -288 binary64) x) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (/.f64 #s(literal -288 binary64) x) (.f64 x (.f64 x (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x x))) (/.f64 #s(literal -288 binary64) x))))
(/.f64 #s(literal 288 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 288 binary64) (neg.f64 (neg.f64 (.f64 (.f64 (.f64 x x) (.f64 x (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)))))
(/.f64 (/.f64 #s(literal -288 binary64) x) (.f64 (.f64 x x) (.f64 x (.f64 x x))))
(/.f64 (neg.f64 (/.f64 #s(literal -288 binary64) x)) (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x x)))))
(/.f64 (/.f64 #s(literal -288 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))
(/.f64 (/.f64 #s(literal -288 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x x)))) x)
(/.f64 (/.f64 (/.f64 #s(literal -288 binary64) x) x) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (/.f64 (/.f64 #s(literal -288 binary64) x) (.f64 x x)) (.f64 x (*.f64 x x)))
(/.f64 (/.f64 (/.f64 #s(literal -288 binary64) x) (.f64 x (.f64 x (*.f64 x x)))) x)
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal -288 binary64) x))) (neg.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x x))))))
(/.f64 (neg.f64 (/.f64 #s(literal -288 binary64) (.f64 x x))) (neg.f64 (.f64 x (.f64 x (.f64 x x)))))
(/.f64 (neg.f64 (/.f64 #s(literal -288 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x x))))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal -288 binary64) x) x)) (neg.f64 (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal -288 binary64) x) (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x))))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal -288 binary64) x) (.f64 x (.f64 x (*.f64 x x))))) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x x))) (/.f64 #s(literal -288 binary64) x)) #s(literal -1 binary64))
(.f64 #s(literal -288 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal -288 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))))
(.f64 #s(literal 288 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) x))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -288 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (*.f64 x x))) #s(literal -288 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))) #s(literal -288 binary64))
(.f64 (/.f64 #s(literal -288 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (*.f64 x x)))))
(.f64 (/.f64 #s(literal -288 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (.f64 x x)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (*.f64 x x)))) (/.f64 #s(literal -288 binary64) x))
(.f64 (/.f64 #s(literal -288 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (/.f64 #s(literal -288 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))
(.f64 (/.f64 #s(literal -288 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) (.f64 (log.f64 x) #s(literal 3 binary64))))
(pow.f64 x #s(literal 6 binary64))
(pow.f64 (*.f64 x x) #s(literal 3 binary64))
(pow.f64 (.f64 x (.f64 x x)) #s(literal 2 binary64))
(.f64 x (.f64 (.f64 x x) (.f64 x (*.f64 x x))))
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
(.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))
(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x x))
(.f64 (.f64 (.f64 x x) (.f64 x (*.f64 x x))) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 5 binary64)))
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(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))) (.f64 x x)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (-.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))) (.f64 x x)) (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))) (.f64 x x))) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))) (*.f64 x x))))))
(.f64 x (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))
(.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))) (*.f64 x x))
(.f64 (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (+.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/720 binary64))))))) x)
(*.f64 x #s(literal 1/720 binary64))
(*.f64 #s(literal 1/720 binary64) x)
(+.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))
(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x #s(literal 1/24 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x #s(literal 1/24 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))))) (/.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/720 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 (.f64 x (.f64 x 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 (.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)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x #s(literal 1/24 binary64))) (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64)))) (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64)))))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64)))) (-.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x #s(literal 1/24 binary64))) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 #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 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.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 binary64) (/.f64 (+.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 #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 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))) x)))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64))))) (+.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x #s(literal 1/24 binary64))) (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64)))) (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x #s(literal 1/24 binary64))) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))) (-.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64)))))
(/.f64 (.f64 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)))))
(/.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))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)))))) (neg.f64 (+.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x #s(literal 1/24 binary64))) (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64)))) (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x (.f64 (*.f64 x x) #s(literal 1/720 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x #s(literal 1/24 binary64))) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64)))))) (neg.f64 (-.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)))))) (neg.f64 (+.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 (neg.f64 (.f64 x (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/518400 binary64))))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(/.f64 (neg.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)) (neg.f64 (+.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 (neg.f64 (.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/518400 binary64))) x)) (neg.f64 (-.f64 #s(literal 1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (+.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64)))) (-.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) (.f64 x #s(literal 1/24 binary64))) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/720 binary64))) (*.f64 x #s(literal 1/24 binary64))))))
(.f64 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))) x)

simplify231.0ms (3%)

Algorithm

1×	egg-herbie

Rules

2732×	`-lowering-.f32`
2732×	`-lowering-.f64`
1758×	`sum3-define`
1688×	`+-lowering-+.f64`
1688×	`+-lowering-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	130	1385
1	347	1243
2	970	1233
3	2581	1231
4	5308	1231
0	8197	1231

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
(/ -288 (pow x 6))
(/ -288 (pow x 6))
(/ -288 (pow x 6))
(/ -288 (pow x 6))
(/ -288 (pow x 6))
(/ -288 (pow x 6))
(/ -288 (pow x 6))
(/ -288 (pow x 6))
(/ -288 (pow x 6))
(/ -288 (pow x 6))
(/ -288 (pow x 6))
(/ -288 (pow x 6))
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(/ 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)
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(/ 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))
(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)
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(/ 2 (pow x 4))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
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))))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/576 (pow x 4))))
(* (pow x 2) (+ 1/4 (* (pow x 4) (- (* -1/8640 (pow x 2)) 1/576))))
(* (pow x 2) (+ 1/4 (* (pow x 4) (- (* (pow x 2) (- (* -1/518400 (pow x 2)) 1/8640)) 1/576))))
(* -1/518400 (pow x 10))
(* -1 (* (pow x 10) (+ 1/518400 (* 1/8640 (/ 1 (pow x 2))))))
(* (pow x 10) (- (* -1 (/ (+ 1/8640 (* 1/576 (/ 1 (pow x 2)))) (pow x 2))) 1/518400))
(* (pow x 10) (- (* 1/4 (/ 1 (pow x 8))) (+ 1/518400 (+ (/ 1/576 (pow x 4)) (* 1/8640 (/ 1 (pow x 2)))))))
(* -1/518400 (pow x 10))
(* -1 (* (pow x 10) (+ 1/518400 (* 1/8640 (/ 1 (pow x 2))))))
(* (pow x 10) (- (* -1 (/ (+ 1/8640 (* 1/576 (/ 1 (pow x 2)))) (pow x 2))) 1/518400))
(* (pow x 10) (- (* 1/4 (/ 1 (pow x 8))) (+ 1/518400 (+ (/ 1/576 (pow x 4)) (* 1/8640 (/ 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)
(* 1/24 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)))))

Outputs
(/ -288 (pow x 6))
(/.f64 #s(literal -288 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x x)))
(/ -288 (pow x 6))
(/.f64 #s(literal -288 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x x)))
(/ -288 (pow x 6))
(/.f64 #s(literal -288 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x x)))
(/ -288 (pow x 6))
(/.f64 #s(literal -288 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x x)))
(/ -288 (pow x 6))
(/.f64 #s(literal -288 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x x)))
(/ -288 (pow x 6))
(/.f64 #s(literal -288 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x x)))
(/ -288 (pow x 6))
(/.f64 #s(literal -288 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x x)))
(/ -288 (pow x 6))
(/.f64 #s(literal -288 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x x)))
(/ -288 (pow x 6))
(/.f64 #s(literal -288 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x x)))
(/ -288 (pow x 6))
(/.f64 #s(literal -288 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x x)))
(/ -288 (pow x 6))
(/.f64 #s(literal -288 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x x)))
(/ -288 (pow x 6))
(/.f64 #s(literal -288 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x x)))
(pow x 6)
(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x x))
(pow x 6)
(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x x))
(pow x 6)
(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x x))
(pow x 6)
(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x x))
(pow x 6)
(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x x))
(pow x 6)
(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x x))
(pow x 6)
(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x x))
(pow x 6)
(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x x))
(pow x 6)
(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x x))
(pow x 6)
(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x x))
(pow x 6)
(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x x))
(pow x 6)
(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x x))
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(/ 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)
(/ 24 (pow x 4))
(/.f64 (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x))) x)
(/ 24 (pow x 4))
(/.f64 (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x))) x)
(/ 24 (pow x 4))
(/.f64 (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x))) x)
(/ 24 (pow x 4))
(/.f64 (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x))) x)
(/ 24 (pow x 4))
(/.f64 (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x))) x)
(/ 24 (pow x 4))
(/.f64 (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x))) x)
(/ 24 (pow x 4))
(/.f64 (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x))) x)
(/ 24 (pow x 4))
(/.f64 (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x))) x)
(/ 24 (pow x 4))
(/.f64 (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x))) x)
(/ 24 (pow x 4))
(/.f64 (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x))) x)
(/ 24 (pow x 4))
(/.f64 (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x))) x)
(/ 24 (pow x 4))
(/.f64 (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x))) x)
(/ 2 (pow x 4))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) x)
(/ 2 (pow x 4))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) x)
(/ 2 (pow x 4))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) x)
(/ 2 (pow x 4))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) x)
(/ 2 (pow x 4))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) x)
(/ 2 (pow x 4))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) x)
(/ 2 (pow x 4))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) x)
(/ 2 (pow x 4))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) x)
(/ 2 (pow x 4))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) x)
(/ 2 (pow x 4))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) x)
(/ 2 (pow x 4))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) x)
(/ 2 (pow x 4))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x 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))
(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)
(/ 24 (pow x 4))
(/.f64 (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x))) x)
(/ 24 (pow x 4))
(/.f64 (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x))) x)
(/ 24 (pow x 4))
(/.f64 (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x))) x)
(/ 24 (pow x 4))
(/.f64 (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x))) x)
(/ 24 (pow x 4))
(/.f64 (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x))) x)
(/ 24 (pow x 4))
(/.f64 (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x))) x)
(/ 24 (pow x 4))
(/.f64 (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x))) x)
(/ 24 (pow x 4))
(/.f64 (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x))) x)
(/ 24 (pow x 4))
(/.f64 (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x))) x)
(/ 24 (pow x 4))
(/.f64 (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x))) x)
(/ 24 (pow x 4))
(/.f64 (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x))) x)
(/ 24 (pow x 4))
(/.f64 (/.f64 #s(literal 24 binary64) (.f64 x (.f64 x x))) x)
(/ 2 (pow x 4))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) x)
(/ 2 (pow x 4))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) x)
(/ 2 (pow x 4))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) x)
(/ 2 (pow x 4))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) x)
(/ 2 (pow x 4))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) x)
(/ 2 (pow x 4))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) x)
(/ 2 (pow x 4))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) x)
(/ 2 (pow x 4))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) x)
(/ 2 (pow x 4))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) x)
(/ 2 (pow x 4))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) x)
(/ 2 (pow x 4))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) x)
(/ 2 (pow x 4))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) x)
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
1
#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 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) (.f64 (.f64 x (.f64 x (.f64 x 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 (.f64 x (.f64 x 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 (.f64 x (.f64 x 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 720 binary64) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 388800 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -4406400 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x)))
(/ 720 (pow x 6))
(/.f64 #s(literal 720 binary64) (.f64 (.f64 x (.f64 x (.f64 x 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 (.f64 x (.f64 x 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 (.f64 x (.f64 x 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 720 binary64) (/.f64 #s(literal -21600 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 388800 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -4406400 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x))))) (.f64 (.f64 x (.f64 x (.f64 x 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 (.f64 x 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 (.f64 x (.f64 x x))) (.f64 x x)) #s(literal 1/720 binary64))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x 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 (.f64 x (.f64 x 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 (.f64 x (.f64 x 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 (.f64 x (.f64 x x))) (.f64 x x)) #s(literal 1/720 binary64))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x 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 (.f64 x (.f64 x 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 (.f64 x (.f64 x 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 (.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 (.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))))))
(* 1/720 (pow x 6))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x)) #s(literal 1/720 binary64))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x 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 (.f64 x (.f64 x 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 (.f64 x (.f64 x 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 (.f64 x (.f64 x x))) (.f64 x x)) #s(literal 1/720 binary64))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x 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 (.f64 x (.f64 x 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 (.f64 x (.f64 x 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)))))))
(* 1/4 (pow x 2))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(* (pow x 2) (+ 1/4 (* -1/576 (pow x 4))))
(.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/576 binary64))))))
(* (pow x 2) (+ 1/4 (* (pow x 4) (- (* -1/8640 (pow x 2)) 1/576))))
(.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/576 binary64) (.f64 x (.f64 x #s(literal -1/8640 binary64)))))))))
(* (pow x 2) (+ 1/4 (* (pow x 4) (- (* (pow x 2) (- (* -1/518400 (pow x 2)) 1/8640)) 1/576))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/576 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8640 binary64) (.f64 (.f64 x x) #s(literal -1/518400 binary64)))))))))
(* -1/518400 (pow x 10))
(*.f64 #s(literal -1/518400 binary64) (pow.f64 x #s(literal 10 binary64)))
(* -1 (* (pow x 10) (+ 1/518400 (* 1/8640 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal -1/518400 binary64) (/.f64 #s(literal -1/8640 binary64) (.f64 x x))))
(* (pow x 10) (- (* -1 (/ (+ 1/8640 (* 1/576 (/ 1 (pow x 2)))) (pow x 2))) 1/518400))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal -1/518400 binary64) (/.f64 (+.f64 #s(literal -1/8640 binary64) (/.f64 #s(literal -1/576 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 10) (- (* 1/4 (/ 1 (pow x 8))) (+ 1/518400 (+ (/ 1/576 (pow x 4)) (* 1/8640 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x))))) (+.f64 #s(literal -1/518400 binary64) (/.f64 (+.f64 #s(literal -1/8640 binary64) (/.f64 #s(literal -1/576 binary64) (.f64 x x))) (.f64 x x)))))
(* -1/518400 (pow x 10))
(*.f64 #s(literal -1/518400 binary64) (pow.f64 x #s(literal 10 binary64)))
(* -1 (* (pow x 10) (+ 1/518400 (* 1/8640 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal -1/518400 binary64) (/.f64 #s(literal -1/8640 binary64) (.f64 x x))))
(* (pow x 10) (- (* -1 (/ (+ 1/8640 (* 1/576 (/ 1 (pow x 2)))) (pow x 2))) 1/518400))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal -1/518400 binary64) (/.f64 (+.f64 #s(literal -1/8640 binary64) (/.f64 #s(literal -1/576 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 10) (- (* 1/4 (/ 1 (pow x 8))) (+ 1/518400 (+ (/ 1/576 (pow x 4)) (* 1/8640 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x))))) (+.f64 #s(literal -1/518400 binary64) (/.f64 (+.f64 #s(literal -1/8640 binary64) (/.f64 #s(literal -1/576 binary64) (.f64 x x))) (.f64 x x)))))
(* 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))
(* 1/24 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))))

eval187.0ms (2.5%)

Compiler: Compiled 34388 to 2673 computations (92.2% saved)

prune161.0ms (2.1%)

Pruning

31 alts after pruning (20 fresh and 11 done)

	Pruned	Kept	Total
New	1277	14	1291
Fresh	4	6	10
Picked	2	3	5
Done	0	8	8
Total	1283	31	1314

Accuracy

100.0%

Counts

1314 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.0%	(/.f64 (/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x x)) x) x)
	48.0%	(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) x) #s(literal 1/12 binary64))
✓	48.0%	(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (.f64 x (.f64 x x))) #s(literal 1/12 binary64))
	50.4%	(/.f64 (/.f64 (/.f64 #s(literal -288 binary64) x) (.f64 x (.f64 x (*.f64 x x)))) x)
	50.4%	(/.f64 (/.f64 (/.f64 #s(literal -288 binary64) x) (.f64 x x)) (.f64 x (*.f64 x x)))
	50.4%	(/.f64 (/.f64 (/.f64 #s(literal -288 binary64) x) x) (.f64 x (.f64 x (*.f64 x x))))
	48.0%	(/.f64 (/.f64 #s(literal 24 binary64) (.f64 x x)) (.f64 x x))
✓	36.5%	(/.f64 (/.f64 #s(literal 2 binary64) x) x)
	48.2%	(/.f64 #s(literal 24 binary64) (.f64 x (.f64 x (*.f64 x x))))
	45.6%	(/.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)))))))
	45.2%	(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 (.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)))))
	44.8%	(/.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)))))))
✓	91.0%	(/.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))))))
✓	80.2%	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x x)))
	48.2%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/12 binary64)))) x))
✓	37.7%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
	48.2%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 24 binary64)))
	50.6%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (/.f64 (/.f64 #s(literal -288 binary64) x) (*.f64 x x))))
	48.2%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (/.f64 #s(literal 24 binary64) (.f64 x x))))
	61.7%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))) (.f64 x (.f64 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 #s(literal 1/24 binary64)))))))
	49.3%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/576 binary64) (.f64 x (.f64 x #s(literal -1/8640 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))))))))))
✓	94.6%	(/.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))))))))
✓	100.0%	(/.f64 #s(literal 1 binary64) (cosh.f64 x))
	50.6%	(/.f64 #s(literal -288 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
	50.6%	(/.f64 #s(literal -288 binary64) (.f64 x (.f64 x (.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x x)))))))
✓	45.3%	(+.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)))))))
✓	45.2%	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64))))))
	36.5%	(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x))
	50.4%	(.f64 (/.f64 #s(literal -288 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (.f64 x x)))))
✓	48.0%	(.f64 #s(literal 12 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (*.f64 x x)))
✓	46.0%	#s(literal 1 binary64)

Compiler

Compiled 1474 to 511 computations (65.3% saved)

regimes40.0ms (0.5%)

Counts

44 → 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 (/.f64 #s(literal 24 binary64) (.f64 x x)) (.f64 x x))
(/.f64 (/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x x)) x) x)
(.f64 #s(literal 12 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (*.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 24 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (/.f64 #s(literal 24 binary64) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 24 binary64)))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/12 binary64)))) x))
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (.f64 x (.f64 x x))) #s(literal 1/12 binary64))
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) x) #s(literal 1/12 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64))))))
(/.f64 #s(literal -288 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
(/.f64 #s(literal -288 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64))))))
(/.f64 (/.f64 #s(literal -288 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))
(/.f64 (/.f64 (/.f64 #s(literal -288 binary64) x) x) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (/.f64 (/.f64 #s(literal -288 binary64) x) (.f64 x x)) (.f64 x (*.f64 x x)))
(/.f64 (/.f64 (/.f64 #s(literal -288 binary64) x) (.f64 x (.f64 x (*.f64 x x)))) x)
(.f64 (/.f64 #s(literal -288 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 #s(literal -288 binary64) (.f64 x (.f64 x (.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (/.f64 (/.f64 #s(literal -288 binary64) x) (*.f64 x x))))
(/.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 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (.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 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)))))))
(/.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 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 (.f64 x x) #s(literal 1/360 binary64)))))))))
(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 (.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 (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/576 binary64) (.f64 x (.f64 x #s(literal -1/8640 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 (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))) (.f64 x (.f64 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 #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))) (.f64 x (.f64 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 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 16 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 #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 (.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 #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 (.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)))))))))))) (-.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 x (.f64 x #s(literal 1/720 binary64)))))))))))
(/.f64 #s(literal 1 binary64) (.f64 (-.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 x (.f64 x #s(literal 1/720 binary64))))))))) (.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))))))))))) (/.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 x (.f64 x #s(literal 1/720 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 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

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

Calls

3 calls:

15.0ms	x
11.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
9.0ms	(/.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)

regimes19.0ms (0.2%)

Counts

42 → 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 (/.f64 #s(literal 24 binary64) (.f64 x x)) (.f64 x x))
(/.f64 (/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x x)) x) x)
(.f64 #s(literal 12 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (*.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 24 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (/.f64 #s(literal 24 binary64) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 24 binary64)))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/12 binary64)))) x))
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (.f64 x (.f64 x x))) #s(literal 1/12 binary64))
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) x) #s(literal 1/12 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64))))))
(/.f64 #s(literal -288 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
(/.f64 #s(literal -288 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64))))))
(/.f64 (/.f64 #s(literal -288 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))
(/.f64 (/.f64 (/.f64 #s(literal -288 binary64) x) x) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (/.f64 (/.f64 #s(literal -288 binary64) x) (.f64 x x)) (.f64 x (*.f64 x x)))
(/.f64 (/.f64 (/.f64 #s(literal -288 binary64) x) (.f64 x (.f64 x (*.f64 x x)))) x)
(.f64 (/.f64 #s(literal -288 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 #s(literal -288 binary64) (.f64 x (.f64 x (.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (/.f64 (/.f64 #s(literal -288 binary64) x) (*.f64 x x))))
(/.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 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (.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 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)))))))
(/.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 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 (.f64 x x) #s(literal 1/360 binary64)))))))))
(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 (.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 (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/576 binary64) (.f64 x (.f64 x #s(literal -1/8640 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 (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))) (.f64 x (.f64 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 #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))) (.f64 x (.f64 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 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 16 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 #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 (.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 #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 (.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)))))))))))) (-.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 x (.f64 x #s(literal 1/720 binary64)))))))))))
(/.f64 #s(literal 1 binary64) (.f64 (-.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 x (.f64 x #s(literal 1/720 binary64))))))))) (.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))))))))))) (/.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 x (.f64 x #s(literal 1/720 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)))))))

Outputs

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

(/.f64 #s(literal -288 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
96.9%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes17.0ms (0.2%)

Counts

40 → 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 (/.f64 #s(literal 24 binary64) (.f64 x x)) (.f64 x x))
(/.f64 (/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x x)) x) x)
(.f64 #s(literal 12 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (*.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 24 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (/.f64 #s(literal 24 binary64) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 24 binary64)))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/12 binary64)))) x))
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (.f64 x (.f64 x x))) #s(literal 1/12 binary64))
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) x) #s(literal 1/12 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64))))))
(/.f64 #s(literal -288 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
(/.f64 #s(literal -288 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64))))))
(/.f64 (/.f64 #s(literal -288 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))
(/.f64 (/.f64 (/.f64 #s(literal -288 binary64) x) x) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (/.f64 (/.f64 #s(literal -288 binary64) x) (.f64 x x)) (.f64 x (*.f64 x x)))
(/.f64 (/.f64 (/.f64 #s(literal -288 binary64) x) (.f64 x (.f64 x (*.f64 x x)))) x)
(.f64 (/.f64 #s(literal -288 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 #s(literal -288 binary64) (.f64 x (.f64 x (.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (/.f64 (/.f64 #s(literal -288 binary64) x) (*.f64 x x))))
(/.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 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (.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 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)))))))
(/.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 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 (.f64 x x) #s(literal 1/360 binary64)))))))))
(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 (.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 (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/576 binary64) (.f64 x (.f64 x #s(literal -1/8640 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 (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))) (.f64 x (.f64 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 #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))) (.f64 x (.f64 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 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 16 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 #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 (.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 #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 (.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)))))))))))) (-.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 x (.f64 x #s(literal 1/720 binary64)))))))))))

Outputs

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

(/.f64 #s(literal -288 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
96.9%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes13.0ms (0.2%)

Counts

39 → 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 (/.f64 #s(literal 24 binary64) (.f64 x x)) (.f64 x x))
(/.f64 (/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x x)) x) x)
(.f64 #s(literal 12 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (*.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 24 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (/.f64 #s(literal 24 binary64) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 24 binary64)))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/12 binary64)))) x))
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (.f64 x (.f64 x x))) #s(literal 1/12 binary64))
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) x) #s(literal 1/12 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64))))))
(/.f64 #s(literal -288 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))
(/.f64 #s(literal -288 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/12 binary64))))))
(/.f64 (/.f64 #s(literal -288 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))
(/.f64 (/.f64 (/.f64 #s(literal -288 binary64) x) x) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (/.f64 (/.f64 #s(literal -288 binary64) x) (.f64 x x)) (.f64 x (*.f64 x x)))
(/.f64 (/.f64 (/.f64 #s(literal -288 binary64) x) (.f64 x (.f64 x (*.f64 x x)))) x)
(.f64 (/.f64 #s(literal -288 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 #s(literal -288 binary64) (.f64 x (.f64 x (.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (/.f64 (/.f64 #s(literal -288 binary64) x) (*.f64 x x))))
(/.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 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (.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 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)))))))
(/.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 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 (.f64 x x) #s(literal 1/360 binary64)))))))))
(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 (.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 (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/576 binary64) (.f64 x (.f64 x #s(literal -1/8640 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 (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))) (.f64 x (.f64 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 #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))) (.f64 x (.f64 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 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 16 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 #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 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -2 binary64)))))))

Outputs

(/.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))))))))

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
94.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes13.0ms (0.2%)

Counts

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

Outputs

(+.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)))))))

(/.f64 #s(literal -288 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
94.6%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes14.0ms (0.2%)

Counts

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

Outputs

(/.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 #s(literal -288 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
94.6%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

Counts

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

Outputs

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

(/.f64 #s(literal -288 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
94.5%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts

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

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

5.0ms

Results

Accuracy	Segments	Branch
90.9%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

Counts

16 → 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 (/.f64 #s(literal 24 binary64) (.f64 x x)) (.f64 x x))
(/.f64 (/.f64 (/.f64 #s(literal 24 binary64) (*.f64 x x)) x) x)
(.f64 #s(literal 12 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (*.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 24 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (/.f64 #s(literal 24 binary64) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 24 binary64)))
(/.f64 #s(literal 2 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/12 binary64)))) x))
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (.f64 x (.f64 x x))) #s(literal 1/12 binary64))
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (.f64 x (.f64 x 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:

8.0ms

Results

Accuracy	Segments	Branch
90.9%	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
80.2%	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
80.2%	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
46.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch5.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
4.0ms	1.9005325453544287e+42	7.883753033486545e+52

Results

3.0ms

48×

valid

Compiler

Compiled 247 to 97 computations (60.7% saved)

Precisions

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

ival-exp: 1.0ms (70.5% 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)

bsearch7.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
4.0ms	1.9005325453544287e+42	7.883753033486545e+52

Results

2.0ms

48×

valid

Compiler

Compiled 241 to 94 computations (61% saved)

Precisions

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

ival-exp: 1.0ms (73.7% 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)

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.26481690742236985	26154.553732108834

Results

9.0ms

144×

valid

Compiler

Compiled 337 to 208 computations (38.3% saved)

Precisions

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

ival-exp: 3.0ms (57.1% of total)

ival-div: 1.0ms (19% of total)

ival-add: 1.0ms (19% of total)

ival-neg: 1.0ms (19% of total)

const: 0.0ms (0% of total)

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

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.26481690742236985	26154.553732108834

Results

9.0ms

144×

valid

Compiler

Compiled 301 to 190 computations (36.9% saved)

Precisions

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

ival-exp: 3.0ms (57.2% 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)

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.26481690742236985	26154.553732108834

Results

9.0ms

144×

valid

Compiler

Compiled 283 to 190 computations (32.9% saved)

Precisions

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

ival-exp: 3.0ms (57.2% 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)

bsearch37.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	0.26481690742236985	26154.553732108834

Results

9.0ms

144×

valid

Compiler

Compiled 247 to 172 computations (30.4% saved)

Precisions

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

ival-exp: 3.0ms (55.1% of total)

ival-div: 1.0ms (18.4% of total)

ival-add: 1.0ms (18.4% of total)

ival-neg: 1.0ms (18.4% of total)

const: 0.0ms (0% of total)

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

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.26481690742236985	26154.553732108834

Results

12.0ms

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 (55.9% of total)

ival-div: 1.0ms (18.6% of total)

ival-add: 1.0ms (18.6% of total)

ival-neg: 1.0ms (18.6% of total)

const: 0.0ms (0% of total)

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

bsearch19.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.26481690742236985	26154.553732108834

Results

13.0ms

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 (55.9% of total)

ival-div: 1.0ms (18.6% of total)

ival-add: 1.0ms (18.6% of total)

ival-neg: 1.0ms (18.6% of total)

const: 0.0ms (0% of total)

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

simplify42.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

72×	`*-commutative_binary64`
56×	`+-commutative_binary64`
30×	`sub-neg_binary64`
26×	`neg-sub0_binary64`
26×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	341
1	132	341
2	147	341
3	160	341
4	171	341
5	185	341
6	197	341
7	207	341
8	221	341
9	233	341
10	239	341
11	242	341
12	243	341

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(if (<=.f64 x #s(literal 200000000000000015259539682183774006589929941893120 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (-.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 x (.f64 x #s(literal 1/720 binary64))))))))) (.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))))))))))) (/.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 x (.f64 x #s(literal 1/720 binary64))))))))))))) (/.f64 #s(literal -288 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
(if (<=.f64 x #s(literal 200000000000000015259539682183774006589929941893120 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 x (.f64 x #s(literal 1/720 binary64))))))))) (.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)))))))))))) (-.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 x (.f64 x #s(literal 1/720 binary64))))))))))) (/.f64 #s(literal -288 binary64) (.f64 x (.f64 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 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))))))
(if (<=.f64 x #s(literal 2 binary64)) (+.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))))))) (/.f64 #s(literal -288 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
(if (<=.f64 x #s(literal 700 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 #s(literal -288 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
(if (<=.f64 x #s(literal 680 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))))) (/.f64 #s(literal -288 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
(if (<=.f64 x #s(literal 4278419646001971/2251799813685248 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 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 200000000000000015259539682183774006589929941893120 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (-.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 x (.f64 x #s(literal 1/720 binary64))))))))) (.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))))))))))) (/.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 x (.f64 x #s(literal 1/720 binary64))))))))))))) (/.f64 #s(literal -288 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
(if (<=.f64 x #s(literal 200000000000000015259539682183774006589929941893120 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 x (.f64 x #s(literal 1/720 binary64))))))))) (.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)))))))))))) (-.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 x (.f64 x #s(literal 1/720 binary64))))))))))) (/.f64 #s(literal -288 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
(if (<=.f64 x #s(literal 200000000000000015259539682183774006589929941893120 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 x (.f64 x #s(literal 1/720 binary64)))))))))) (/.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 x (.f64 x #s(literal 1/720 binary64))))))))) (.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))))))))))))) (/.f64 #s(literal -288 binary64) (.f64 x (.f64 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 (.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 x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (.f64 x x))))))))
(if (<=.f64 x #s(literal 2 binary64)) (+.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))))))) (/.f64 #s(literal -288 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
(if (<=.f64 x #s(literal 700 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 #s(literal -288 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
(if (<=.f64 x #s(literal 680 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 5/24 binary64)))))) (/.f64 #s(literal -288 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
(if (<=.f64 x #s(literal 4278419646001971/2251799813685248 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 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)))))
(if (<=.f64 x #s(literal 4165829655317709/1125899906842624 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) #s(literal 2 binary64))) (/.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)))
(/.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) #s(literal 2 binary64)))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
#s(literal 1 binary64)

soundness2.0s (26.3%)

Rules

3916×	`-lowering-.f32`
3916×	`-lowering-.f64`
3766×	`-lowering-.f32`
3766×	`-lowering-.f64`
3130×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	66	303
1	170	273
2	461	273
3	1285	273
4	2689	273
5	4425	273
6	7125	273
0	8048	273
0	110	1908
1	299	1660
2	839	1618
3	2291	1594
4	5212	1594
0	8332	1594
0	35	177
1	232	150
2	2098	149
0	9458	149
0	129	1307
1	356	1101
2	1007	1097
3	3104	1053
4	6518	1053
0	8030	1053
0	7	17
1	37	14
2	277	14
3	2605	14
0	9728	14

Stop Event

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

Compiler

Compiled 826 to 383 computations (53.6% saved)

preprocess61.0ms (0.8%)

Remove: (abs x)
Compiler: Compiled 732 to 206 computations (71.9% 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	84	341
1	132	341
2	147	341
3	160	341
4	171	341
5	185	341
6	197	341
7	207	341
8	221	341
9	233	341
10	239	341
11	242	341
12	243	341

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	84	341
1	132	341
2	147	341
3	160	341
4	171	341
5	185	341
6	197	341
7	207	341
8	221	341
9	233	341
10	239	341
11	242	341
12	243	341

analyze0.0ms (0%)

sample640.0ms (8.4%)

preprocess28.0ms (0.4%)

explain61.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize28.0ms (0.4%)

series3.0ms (0%)

rewrite319.0ms (4.2%)

simplify205.0ms (2.7%)

eval45.0ms (0.6%)

prune50.0ms (0.7%)

simplify162.0ms (2.1%)

localize108.0ms (1.4%)

series11.0ms (0.1%)

rewrite424.0ms (5.6%)

simplify237.0ms (3.1%)

eval154.0ms (2%)

prune102.0ms (1.3%)

simplify63.0ms (0.8%)

localize199.0ms (2.6%)

series14.0ms (0.2%)

rewrite425.0ms (5.6%)

simplify296.0ms (3.9%)

eval132.0ms (1.7%)

prune126.0ms (1.7%)

simplify211.0ms (2.8%)

localize165.0ms (2.2%)

series34.0ms (0.4%)

rewrite388.0ms (5.1%)

simplify231.0ms (3%)

eval187.0ms (2.5%)

prune161.0ms (2.1%)

regimes40.0ms (0.5%)

regimes19.0ms (0.2%)

regimes17.0ms (0.2%)

regimes13.0ms (0.2%)

regimes13.0ms (0.2%)

regimes14.0ms (0.2%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

regimes9.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

bsearch5.0ms (0.1%)

bsearch7.0ms (0.1%)

bsearch15.0ms (0.2%)

bsearch18.0ms (0.2%)

bsearch15.0ms (0.2%)

bsearch37.0ms (0.5%)

bsearch18.0ms (0.2%)

bsearch19.0ms (0.2%)

simplify42.0ms (0.5%)

soundness2.0s (26.3%)

preprocess61.0ms (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	84	341
1	132	341
2	147	341
3	160	341
4	171	341
5	185	341
6	197	341
7	207	341
8	221	341
9	233	341
10	239	341
11	242	341
12	243	341