Metrics for Kahan's exp quotient

analyze1.0ms (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
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

sample1.1s (12.3%)

Results

621.0ms	4033×	1	valid
286.0ms	4223×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 575.0ms

ival-exp: 335.0ms (58.3% of total)

ival-div: 102.0ms (17.7% of total)

ival-sub: 83.0ms (14.4% of total)

backward-pass: 42.0ms (7.3% of total)

const: 13.0ms (2.3% of total)

Bogosity

preprocess105.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

868×	`fnmadd-define`
842×	`sum3-define`
738×	`sum3-define`
710×	`fnmadd-define`
636×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	35	15
2	83	15
3	236	15
4	658	15
5	1261	15
6	2198	15
7	2949	15
8	3164	15
9	3188	15
0	5	4
1	14	4
2	18	4
3	24	4
4	35	4
5	49	4
6	86	4
7	160	4
8	285	4
9	512	4
10	925	4
11	1806	4
12	2152	4
13	2670	4
14	2695	4
15	2714	4
16	2722	4
0	2722	4

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ (- (exp x) 1) x)

Outputs
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)

Call 2

Inputs
(/ (- (exp x) 1) x)
(/ (- (exp (neg x)) 1) (neg x))
(neg (/ (- (exp (neg x)) 1) (neg x)))

Outputs
(/ (- (exp x) 1) x)
(/ (expm1 x) x)
(/ (- (exp (neg x)) 1) (neg x))
(/ (expm1 (neg x)) (neg x))
(neg (/ (- (exp (neg x)) 1) (neg x)))
(/ (expm1 (neg x)) x)

explain98.0ms (1.1%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
146	-	-	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
0	-	-	`x`
0	-	-	`(exp.f64 x)`
0	-	-	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
0	-	-	`#s(literal 1 binary64)`

Results

54.0ms	288×	1	valid
11.0ms	224×	0	valid

Compiler

Compiled 39 to 17 computations (56.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-exp: 23.0ms (59.8% of total)

ival-div: 6.0ms (15.6% of total)

ival-sub: 5.0ms (13% of total)

backward-pass: 4.0ms (10.4% of total)

const: 1.0ms (2.6% of total)

eval0.0ms (0%)

Compiler: Compiled 5 to 3 computations (40% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (expm1.f64 x) x)

Compiler

Compiled 5 to 3 computations (40% saved)

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(expm1.f64 x)
✓	cost-diff	0	(/.f64 (expm1.f64 x) x)

Rules

842×	`sum3-define`
710×	`fnmadd-define`
586×	`fma-define`
368×	`sum5-define`
300×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	14	7
2	18	7
3	24	7
4	35	7
5	49	7
6	86	7
7	160	7
8	285	7
9	512	7
10	925	7
11	1806	7
12	2152	7
13	2670	7
14	2695	7
15	2714	7
16	2722	7
0	2722	7

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (- (exp x) 1) x)
(- (exp x) 1)
x

Outputs
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(- (exp x) 1)
(expm1.f64 x)
x

localize40.0ms (0.4%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(expm1.f64 x)
✓	accuracy	100.0%	(/.f64 (expm1.f64 x) x)

Results

28.0ms	144×	1	valid
5.0ms	112×	0	valid

Compiler

Compiled 9 to 4 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

compiled-spec: 18.0ms (44.1% of total)

ival-exp: 13.0ms (31.9% of total)

backward-pass: 4.0ms (9.8% of total)

ival-div: 3.0ms (7.4% of total)

ival-sub: 2.0ms (4.9% of total)

const: 0.0ms (0% of total)

series2.0ms (0%)

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (/ (- (exp x) 1) x)>
#<alt (- (exp x) 1)>

Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt (/ (- (exp x) 1) x)>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/ (- (exp x) 1) x)
0.0ms	x	@	inf	(/ (- (exp x) 1) x)
0.0ms	x	@	0	(/ (- (exp x) 1) x)
0.0ms	x	@	inf	(- (exp x) 1)
0.0ms	x	@	0	(- (exp x) 1)

rewrite324.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3828×	`-lowering-.f32`
3828×	`-lowering-.f64`
3322×	`/-lowering-/.f32`
3322×	`/-lowering-/.f64`
1874×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	33	6
2	224	6
3	2378	6
0	9373	6

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 408

Calls

Call 1

Inputs
(/ (- (exp x) 1) x)
(- (exp x) 1)

Outputs
(+.f64 (/.f64 (expm1.f64 x) x) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 (expm1.f64 x) x) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 (expm1.f64 x) x) (fma.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (exp.f64 x) x))
(+.f64 (.f64 (/.f64 (exp.f64 x) x) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(+.f64 (fma.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) x) (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x) (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 x) (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
(+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (/.f64 #s(literal -1 binary64) x) (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) x))
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) x))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) x))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) x))
(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (.f64 x (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 x (exp.f64 x)) (.f64 x x)) (/.f64 x (*.f64 x x)))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (.f64 x (.f64 x x))) (+.f64 (/.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) x)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 (/.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) x)))))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (.f64 x x)) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) x)))
(fma.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x) (/.f64 #s(literal -1 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 (exp.f64 x) x))
(fma.f64 (expm1.f64 x) (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (expm1.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (expm1.f64 x) x) #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (exp.f64 x) x) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 x) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) (/.f64 (exp.f64 x) x))
(fma.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) x) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (+.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 x) x))
(fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) x) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) x) (+.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (+.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (expm1.f64 x) (.f64 x (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (+.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (-.f64 (.f64 x (exp.f64 x)) x) (/.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) x)))) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) x)) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) x) (/.f64 (expm1.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (+.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 (.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 (.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (+.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (/.f64 (expm1.f64 x) x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (expm1.f64 x) x) #s(literal 1/2 binary64)) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 #s(literal -1 binary64) x) (+.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) x) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (.f64 x #s(literal 2 binary64)))))) (+.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
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(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)))) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)))))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)))) (*.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 (.f64 x #s(literal 2 binary64)))) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)))) (*.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)))) (.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))) #s(literal -1 binary64))) (.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)))))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(pow.f64 (expm1.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (expm1.f64 x))
(*.f64 (expm1.f64 x) #s(literal 1 binary64))
(.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (expm1.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (.f64 (expm1.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (expm1.f64 (*.f64 x #s(literal 3 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (expm1.f64 (.f64 x #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (expm1.f64 x))
(.f64 (/.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (expm1.f64 x))
(.f64 (/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (.f64 x #s(literal 2 binary64)))))))
(.f64 (/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (-.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) (exp.f64 x)))
(.f64 (/.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) (expm1.f64 x))))
(.f64 (/.f64 (expm1.f64 (.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)) (expm1.f64 x))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal 9 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (exp.f64 (*.f64 x #s(literal 6 binary64))))))
(.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (expm1.f64 (.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (expm1.f64 (.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)))))
(.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 2 binary64)))))))
(.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))

simplify221.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

3496×	`sum4-define`
1504×	`-lowering-.f32`
1504×	`-lowering-.f64`
1498×	`fma-define`
1436×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	110
1	76	98
2	197	98
3	482	98
4	1007	98
5	1453	98
6	1654	98
7	1738	98
8	1856	98
9	2730	98
10	6192	98
11	7279	98
12	7606	98
13	7756	98
14	7869	98
0	9501	98

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

Calls

Call 1

Inputs
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
(/ (- (exp x) 1) x)
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64)))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
(/ (- (exp x) 1) x)
(/.f64 (expm1.f64 x) x)
x
(* x (+ 1 (* 1/2 x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)

eval50.0ms (0.6%)

Compiler: Compiled 10577 to 1205 computations (88.6% saved)

prune55.0ms (0.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	427	5	432
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	427	6	433

Accuracy

100.0%

Counts

433 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.0%	(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) x)
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	71.3%	(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64)))))
▶	74.5%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
▶	58.4%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
▶	58.1%	#s(literal 1 binary64)

Compiler

Compiled 105 to 81 computations (22.9% saved)

simplify183.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
✓	cost-diff	0	(*.f64 x #s(literal -1/6 binary64))
✓	cost-diff	0	(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))
✓	cost-diff	0	(.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64)))))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
✓	cost-diff	256	(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) x)

Rules

2378×	`fma-lowering-fma.f32`
2378×	`fma-lowering-fma.f64`
2202×	`fma-define`
1582×	`-lowering-.f32`
1582×	`-lowering-.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	186
1	58	160
2	148	151
3	451	145
4	1185	145
5	2728	145
6	6754	145
0	8189	145

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) x)
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))))
x
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))
1
(* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))
(+ 1/2 (* x (+ 1/6 (* x 1/24))))
1/2
(* x (+ 1/6 (* x 1/24)))
(+ 1/6 (* x 1/24))
1/6
(* x 1/24)
1/24
1
(+ 1 (* 1/2 x))
1
(* 1/2 x)
1/2
x
(+ 1 (* x (- 1/2 (* x -1/6))))
1
(* x (- 1/2 (* x -1/6)))
x
(- 1/2 (* x -1/6))
1/2
(* x -1/6)
-1/6
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))
1
(* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))
x
(+ 1/2 (* x (+ 1/6 (* x 1/24))))
1/2
(* x (+ 1/6 (* x 1/24)))
(+ 1/6 (* x 1/24))
1/6
(* x 1/24)
1/24

Outputs
(/ (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))))))
x
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))))))
1
#s(literal 1 binary64)
(* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64))))))
(+ 1/2 (* x (+ 1/6 (* x 1/24))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))
1/2
#s(literal 1/2 binary64)
(* x (+ 1/6 (* x 1/24)))
(.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))
(+ 1/6 (* x 1/24))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
1/6
#s(literal 1/6 binary64)
(* x 1/24)
(*.f64 x #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
x
(+ 1 (* x (- 1/2 (* x -1/6))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))
1
#s(literal 1 binary64)
(* x (- 1/2 (* x -1/6)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
x
(- 1/2 (* x -1/6))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
1/2
#s(literal 1/2 binary64)
(* x -1/6)
(*.f64 x #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))))))
1
#s(literal 1 binary64)
(* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64))))))
x
(+ 1/2 (* x (+ 1/6 (* x 1/24))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))
1/2
#s(literal 1/2 binary64)
(* x (+ 1/6 (* x 1/24)))
(.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))
(+ 1/6 (* x 1/24))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
1/6
#s(literal 1/6 binary64)
(* x 1/24)
(*.f64 x #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)

localize109.0ms (1.2%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
✓	accuracy	99.6%	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64)))))
✓	accuracy	99.9%	(.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64))))
✓	accuracy	99.4%	(*.f64 x #s(literal -1/6 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
✓	accuracy	99.6%	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	95.7%	(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) x)

Results

66.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 180 to 21 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 12.0ms (35.6% of total)

...c/correct-round.rkt:119:19: 11.0ms (32.6% of total)

ival-add: 6.0ms (17.8% of total)

ival-div: 2.0ms (5.9% of total)

ival-sub: 1.0ms (3% of total)

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

const: 0.0ms (0% of total)

series9.0ms (0.1%)

Counts

14 → 168

Calls

Call 1

Inputs
#<alt (/ (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) x)>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))>
#<alt (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))>
#<alt (+ 1 (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (+ 1 (* x (- 1/2 (* x -1/6))))>
#<alt (* x (- 1/2 (* x -1/6)))>
#<alt (- 1/2 (* x -1/6))>
#<alt (* x -1/6)>
#<alt (+ 1/2 (* x (+ 1/6 (* x 1/24))))>
#<alt (* x (+ 1/6 (* x 1/24)))>
#<alt (* x 1/24)>
#<alt (+ 1/6 (* x 1/24))>

Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/6 x)))>
#<alt (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))>
#<alt (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/6 x)))>
#<alt (* x (+ 1/2 (* 1/6 x)))>
#<alt (* x (+ 1/2 (* 1/6 x)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/24 x))))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/24 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt 1/6>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>

Calls

42 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* x (+ 1/6 (* x 1/24)))
1.0ms	x	@	inf	(* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))
0.0ms	x	@	inf	(/ (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) x)
0.0ms	x	@	-inf	(/ (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) x)
0.0ms	x	@	inf	(* x -1/6)

rewrite334.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3756×	`-lowering-.f32`
3756×	`-lowering-.f64`
3742×	`/-lowering-/.f32`
3742×	`/-lowering-/.f64`
1762×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	116
1	135	99
2	1218	88
0	8321	88

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 582

Calls

Call 1

Inputs
(/ (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) x)
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))
(* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))
(+ 1 (* 1/2 x))
(* 1/2 x)
(+ 1 (* x (- 1/2 (* x -1/6))))
(* x (- 1/2 (* x -1/6)))
(- 1/2 (* x -1/6))
(* x -1/6)
(+ 1/2 (* x (+ 1/6 (* x 1/24))))
(* x (+ 1/6 (* x 1/24)))
(* x 1/24)
(+ 1/6 (* x 1/24))

Outputs
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) (neg.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(fma.f64 x #s(literal 1/2 binary64) (+.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x)) #s(literal 1 binary64)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (+.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x)) #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) x #s(literal 1 binary64))
(fma.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)) #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x)))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(/.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(/.f64 x (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))) (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x)) (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x)))
(/.f64 (+.f64 (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (.f64 x (.f64 x x)))) (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 x x))))))
(/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (.f64 #s(literal 1/24 binary64) (.f64 x x)))) (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 x x))))
(/.f64 (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))))
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(*.f64 x #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) x)
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
(+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))
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(-.f64 (/.f64 #s(literal 1/36 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))) (/.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/144 binary64) x))) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)) (+.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/36 binary64))))
(/.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))))
(/.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/144 binary64) x))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) (neg.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/144 binary64) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))))
(/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x)) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))))
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(/.f64 (.f64 (-.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/1296 binary64) (+.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))))) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))))
(/.f64 (.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x)))))
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(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
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(.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x)))))
(.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))

simplify195.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

2784×	`-lowering-.f32`
2784×	`-lowering-.f64`
1508×	`+-lowering-+.f64`
1508×	`+-lowering-+.f32`
1452×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	1080
1	284	928
2	890	878
3	2873	870
4	7478	870
0	8193	870

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(* 1/2 x)
(* x (+ 1/2 (* 1/6 x)))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
1
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/2 x)
(* x (+ 1/2 (* 1/6 x)))
(* x (+ 1/2 (* 1/6 x)))
(* x (+ 1/2 (* 1/6 x)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* 1/6 x))
(+ 1/2 (* 1/6 x))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/6 x)
(* x (+ 1/6 (* 1/24 x)))
(* x (+ 1/6 (* 1/24 x)))
(* x (+ 1/6 (* 1/24 x)))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
1/6
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
x
(* x (+ 1 (* 1/2 x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x (.f64 x x)))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x (.f64 x x)))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/6 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(* x (+ 1/2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(* x (+ 1/2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(* x (+ 1/2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(* x (+ 1/2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/6 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
(* x (+ 1/2 (* 1/6 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
(* x (+ 1/2 (* 1/6 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
(+ 1/2 (* 1/6 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
(+ 1/2 (* 1/6 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 1/24 x)))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
(* x (+ 1/6 (* 1/24 x)))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
(* x (+ 1/6 (* 1/24 x)))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/24 x))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
(+ 1/6 (* 1/24 x))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
(+ 1/6 (* 1/24 x))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))

eval143.0ms (1.6%)

Compiler: Compiled 37028 to 2349 computations (93.7% saved)

prune131.0ms (1.5%)

Pruning

32 alts after pruning (27 fresh and 5 done)

	Pruned	Kept	Total
New	1069	27	1096
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	1070	32	1102

Accuracy

100.0%

Counts

1102 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.3%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))) (.f64 x x)) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) x)) x)
	62.7%	(/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)))) x) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x)
	58.7%	(/.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal -1 binary64))))) x)
	61.9%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
	57.9%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
▶	77.0%	(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))))))) x)
	64.0%	(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))))))) x)
▶	76.9%	(/.f64 (.f64 x (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))))) x)
▶	22.0%	(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) x)
✓	100.0%	(/.f64 (expm1.f64 x) x)
	64.8%	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))) x) (-.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))
	74.5%	(+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
	64.0%	(+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
✓	71.3%	(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64)))))
	74.5%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))
	30.7%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (.f64 x (.f64 x x))) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (*.f64 x #s(literal 1/6 binary64)))))))))
	74.5%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))))))
	64.0%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))))))
	30.7%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 x x))))) (+.f64 (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (.f64 x (*.f64 x x)))))))))
	74.5%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x)) (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal 1/576 binary64))) x))))))
	61.5%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/144 binary64) x))))))))
▶	59.7%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))))))))
✓	74.5%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
	73.7%	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
✓	58.4%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
	76.9%	(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
	19.8%	(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))
	19.7%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
▶	3.9%	(*.f64 #s(literal 1/2 binary64) x)
	16.6%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
	19.5%	(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
✓	58.1%	#s(literal 1 binary64)

Compiler

Compiled 1669 to 855 computations (48.8% saved)

simplify239.0ms (2.7%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	256	(.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x)))))
✓	cost-diff	256	(+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))))))
✓	cost-diff	256	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x)))))))
✓	cost-diff	256	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))))))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	384	(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
✓	cost-diff	384	(.f64 x (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))))
✓	cost-diff	640	(/.f64 (.f64 x (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))))) x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 x x)))
✓	cost-diff	0	(.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))
✓	cost-diff	256	(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) x)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x)))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x)))))))
✓	cost-diff	256	(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))))))) x)

Rules

5060×	`-lowering-.f32`
5060×	`-lowering-.f64`
1650×	`fma-define`
1352×	`fma-lowering-fma.f32`
1352×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	549
1	163	438
2	574	411
3	2123	411
4	6222	411
0	8118	411

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (* x (+ 1 (* x (+ 1/2 (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x))))))) x)
(* x (+ 1 (* x (+ 1/2 (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x)))))))
x
(+ 1 (* x (+ 1/2 (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x))))))
1
(* x (+ 1/2 (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x)))))
(+ 1/2 (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x))))
1/2
(/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x)))
(* (- 1/36 (* (* x x) 1/576)) x)
(- 1/36 (* (* x x) 1/576))
1/36
(* (* x x) 1/576)
(* x x)
1/576
(+ 1/6 (* -1/24 x))
1/6
(* -1/24 x)
-1/24
(* 1/2 x)
1/2
x
(/ (* 1/24 (* x (* x (* x x)))) x)
(* 1/24 (* x (* x (* x x))))
1/24
(* x (* x (* x x)))
x
(* x (* x x))
(* x x)
(/ (* x (* (/ 1 x) (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))))) x)
(* x (* (/ 1 x) (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))))))
x
(* (/ 1 x) (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))))
(/ 1 x)
1
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))
(* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))
(+ 1/2 (* x (+ 1/6 (* x 1/24))))
1/2
(* x (+ 1/6 (* x 1/24)))
(+ 1/6 (* x 1/24))
1/6
(* x 1/24)
1/24
(+ 1 (* x (+ 1/2 (* x (/ (* (- 1/1296 (* (* (* x x) 1/576) (* (* x x) 1/576))) 1) (* (+ 1/36 (* (* x x) 1/576)) (+ 1/6 (* -1/24 x))))))))
1
(* x (+ 1/2 (* x (/ (* (- 1/1296 (* (* (* x x) 1/576) (* (* x x) 1/576))) 1) (* (+ 1/36 (* (* x x) 1/576)) (+ 1/6 (* -1/24 x)))))))
x
(+ 1/2 (* x (/ (* (- 1/1296 (* (* (* x x) 1/576) (* (* x x) 1/576))) 1) (* (+ 1/36 (* (* x x) 1/576)) (+ 1/6 (* -1/24 x))))))
1/2
(* x (/ (* (- 1/1296 (* (* (* x x) 1/576) (* (* x x) 1/576))) 1) (* (+ 1/36 (* (* x x) 1/576)) (+ 1/6 (* -1/24 x)))))
(/ (* (- 1/1296 (* (* (* x x) 1/576) (* (* x x) 1/576))) 1) (* (+ 1/36 (* (* x x) 1/576)) (+ 1/6 (* -1/24 x))))
(* (- 1/1296 (* (* (* x x) 1/576) (* (* x x) 1/576))) 1)
(- 1/1296 (* (* (* x x) 1/576) (* (* x x) 1/576)))
1/1296
(* (* (* x x) 1/576) (* (* x x) 1/576))
(* (* x x) 1/576)
(* x x)
1/576
(* (+ 1/36 (* (* x x) 1/576)) (+ 1/6 (* -1/24 x)))
(+ 1/36 (* (* x x) 1/576))
1/36
(+ 1/6 (* -1/24 x))
1/6
(* -1/24 x)
-1/24

Outputs
(/ (* x (+ 1 (* x (+ 1/2 (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x))))))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))))))
(* x (+ 1 (* x (+ 1/2 (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))))))
x
(+ 1 (* x (+ 1/2 (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))))))
1
#s(literal 1 binary64)
(* x (+ 1/2 (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64))))))
(+ 1/2 (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))
1/2
#s(literal 1/2 binary64)
(/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x)))
(/.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))
(* (- 1/36 (* (* x x) 1/576)) x)
(.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal -1/576 binary64))))
(- 1/36 (* (* x x) 1/576))
(+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))
1/36
#s(literal 1/36 binary64)
(* (* x x) 1/576)
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* x x)
(*.f64 x x)
1/576
#s(literal 1/576 binary64)
(+ 1/6 (* -1/24 x))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))
1/6
#s(literal 1/6 binary64)
(* -1/24 x)
(*.f64 x #s(literal -1/24 binary64))
-1/24
#s(literal -1/24 binary64)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
x
(/ (* 1/24 (* x (* x (* x x)))) x)
(.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(* 1/24 (* x (* x (* x x))))
(.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))
1/24
#s(literal 1/24 binary64)
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
x
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
(/ (* x (* (/ 1 x) (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(* x (* (/ 1 x) (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
x
(* (/ 1 x) (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(+ 1/2 (* x (+ 1/6 (* x 1/24))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))
1/2
#s(literal 1/2 binary64)
(* x (+ 1/6 (* x 1/24)))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
(+ 1/6 (* x 1/24))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
1/6
#s(literal 1/6 binary64)
(* x 1/24)
(*.f64 x #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)
(+ 1 (* x (+ 1/2 (* x (/ (* (- 1/1296 (* (* (* x x) 1/576) (* (* x x) 1/576))) 1) (* (+ 1/36 (* (* x x) 1/576)) (+ 1/6 (* -1/24 x))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/331776 binary64))) (/.f64 (/.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) (+.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal 1/576 binary64))))))))
1
#s(literal 1 binary64)
(* x (+ 1/2 (* x (/ (* (- 1/1296 (* (* (* x x) 1/576) (* (* x x) 1/576))) 1) (* (+ 1/36 (* (* x x) 1/576)) (+ 1/6 (* -1/24 x)))))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/331776 binary64))) (/.f64 (/.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) (+.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal 1/576 binary64)))))))
x
(+ 1/2 (* x (/ (* (- 1/1296 (* (* (* x x) 1/576) (* (* x x) 1/576))) 1) (* (+ 1/36 (* (* x x) 1/576)) (+ 1/6 (* -1/24 x))))))
(+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/331776 binary64))) (/.f64 (/.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))))))
1/2
#s(literal 1/2 binary64)
(* x (/ (* (- 1/1296 (* (* (* x x) 1/576) (* (* x x) 1/576))) 1) (* (+ 1/36 (* (* x x) 1/576)) (+ 1/6 (* -1/24 x)))))
(.f64 (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/331776 binary64))) (/.f64 (/.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))))
(/ (* (- 1/1296 (* (* (* x x) 1/576) (* (* x x) 1/576))) 1) (* (+ 1/36 (* (* x x) 1/576)) (+ 1/6 (* -1/24 x))))
(/.f64 (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/331776 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))))
(* (- 1/1296 (* (* (* x x) 1/576) (* (* x x) 1/576))) 1)
(+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/331776 binary64)))
(- 1/1296 (* (* (* x x) 1/576) (* (* x x) 1/576)))
(+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/331776 binary64)))
1/1296
#s(literal 1/1296 binary64)
(* (* (* x x) 1/576) (* (* x x) 1/576))
(.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/331776 binary64)))))
(* (* x x) 1/576)
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* x x)
(*.f64 x x)
1/576
#s(literal 1/576 binary64)
(* (+ 1/36 (* (* x x) 1/576)) (+ 1/6 (* -1/24 x)))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))))
(+ 1/36 (* (* x x) 1/576))
(+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))
1/36
#s(literal 1/36 binary64)
(+ 1/6 (* -1/24 x))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))
1/6
#s(literal 1/6 binary64)
(* -1/24 x)
(*.f64 x #s(literal -1/24 binary64))
-1/24
#s(literal -1/24 binary64)

localize243.0ms (2.7%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/576 binary64))
✓	accuracy	99.6%	(.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x)))))
✓	accuracy	99.4%	(*.f64 #s(literal -1/24 binary64) x)
✓	accuracy	70.3%	(/.f64 (.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))))
✓	accuracy	99.6%	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	95.7%	(/.f64 (.f64 x (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))))) x)
✓	accuracy	95.5%	(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.9%	(.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	92.5%	(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) x)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	99.6%	(.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal 1/576 binary64))) x)
✓	accuracy	99.4%	(*.f64 #s(literal -1/24 binary64) x)
✓	accuracy	95.7%	(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))))))) x)
✓	accuracy	93.4%	(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x)))

Results

157.0ms	255×	0	valid
3.0ms	1×	5	exit

Compiler

Compiled 585 to 48 computations (91.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-mult: 41.0ms (45.6% of total)

...c/correct-round.rkt:119:19: 24.0ms (26.7% of total)

ival-div: 11.0ms (12.2% of total)

ival-add: 11.0ms (12.2% of total)

ival-sub: 2.0ms (2.2% of total)

backward-pass: 1.0ms (1.1% of total)

const: 0.0ms (0% of total)

series16.0ms (0.2%)

Counts

24 → 288

Calls

Call 1

Inputs
#<alt (/ (* x (+ 1 (* x (+ 1/2 (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x))))))) x)>
#<alt (* x (+ 1 (* x (+ 1/2 (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x)))))))>
#<alt (+ 1 (* x (+ 1/2 (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x))))))>
#<alt (* x (+ 1/2 (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x)))))>
#<alt (* 1/2 x)>
#<alt (/ (* 1/24 (* x (* x (* x x)))) x)>
#<alt (* 1/24 (* x (* x (* x x))))>
#<alt (* x (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (/ (* x (* (/ 1 x) (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))))) x)>
#<alt (* x (* (/ 1 x) (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))))))>
#<alt (* (/ 1 x) (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))))>
#<alt (/ 1 x)>
#<alt (+ 1 (* x (+ 1/2 (* x (/ (* (- 1/1296 (* (* (* x x) 1/576) (* (* x x) 1/576))) 1) (* (+ 1/36 (* (* x x) 1/576)) (+ 1/6 (* -1/24 x))))))))>
#<alt (* x (+ 1/2 (* x (/ (* (- 1/1296 (* (* (* x x) 1/576) (* (* x x) 1/576))) 1) (* (+ 1/36 (* (* x x) 1/576)) (+ 1/6 (* -1/24 x)))))))>
#<alt (+ 1/2 (* x (/ (* (- 1/1296 (* (* (* x x) 1/576) (* (* x x) 1/576))) 1) (* (+ 1/36 (* (* x x) 1/576)) (+ 1/6 (* -1/24 x))))))>
#<alt (* x (/ (* (- 1/1296 (* (* (* x x) 1/576) (* (* x x) 1/576))) 1) (* (+ 1/36 (* (* x x) 1/576)) (+ 1/6 (* -1/24 x)))))>
#<alt (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x)))>
#<alt (* -1/24 x)>
#<alt (* (- 1/36 (* (* x x) 1/576)) x)>
#<alt (* x 1/24)>
#<alt (* x (+ 1/6 (* x 1/24)))>
#<alt (/ (* (- 1/1296 (* (* (* x x) 1/576) (* (* x x) 1/576))) 1) (* (+ 1/36 (* (* x x) 1/576)) (+ 1/6 (* -1/24 x))))>
#<alt (* (* x x) 1/576)>

Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/6 x)))>
#<alt (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))>
#<alt (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 4))>
#<alt (* 1/24 (pow x 4))>
#<alt (* 1/24 (pow x 4))>
#<alt (* 1/24 (pow x 4))>
#<alt (* 1/24 (pow x 4))>
#<alt (* 1/24 (pow x 4))>
#<alt (* 1/24 (pow x 4))>
#<alt (* 1/24 (pow x 4))>
#<alt (* 1/24 (pow x 4))>
#<alt (* 1/24 (pow x 4))>
#<alt (* 1/24 (pow x 4))>
#<alt (* 1/24 (pow x 4))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<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)>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/6 x)))>
#<alt (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))>
#<alt (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/24 x))))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/24 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1/24 x)>
#<alt (* -1/24 x)>
#<alt (* -1/24 x)>
#<alt (* -1/24 x)>
#<alt (* -1/24 x)>
#<alt (* -1/24 x)>
#<alt (* -1/24 x)>
#<alt (* -1/24 x)>
#<alt (* -1/24 x)>
#<alt (* -1/24 x)>
#<alt (* -1/24 x)>
#<alt (* -1/24 x)>
#<alt (* 1/36 x)>
#<alt (* x (+ 1/36 (* -1/576 (pow x 2))))>
#<alt (* x (+ 1/36 (* -1/576 (pow x 2))))>
#<alt (* x (+ 1/36 (* -1/576 (pow x 2))))>
#<alt (* -1/576 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/36 (/ 1 (pow x 2))) 1/576))>
#<alt (* (pow x 3) (- (* 1/36 (/ 1 (pow x 2))) 1/576))>
#<alt (* (pow x 3) (- (* 1/36 (/ 1 (pow x 2))) 1/576))>
#<alt (* -1/576 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/576 (* 1/36 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/576 (* 1/36 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/576 (* 1/36 (/ 1 (pow x 2))))))>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>

Calls

72 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(* x (/ (* (- 1/1296 (* (* (* x x) 1/576) (* (* x x) 1/576))) 1) (* (+ 1/36 (* (* x x) 1/576)) (+ 1/6 (* -1/24 x)))))
0.0ms	x	@	inf	(* x (+ 1/2 (* x (/ (* (- 1/1296 (* (* (* x x) 1/576) (* (* x x) 1/576))) 1) (* (+ 1/36 (* (* x x) 1/576)) (+ 1/6 (* -1/24 x)))))))
0.0ms	x	@	inf	(* x (+ 1/2 (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x)))))
0.0ms	x	@	0	(/ (* 1/24 (* x (* x (* x x)))) x)
0.0ms	x	@	0	(* x (/ (* (- 1/1296 (* (* (* x x) 1/576) (* (* x x) 1/576))) 1) (* (+ 1/36 (* (* x x) 1/576)) (+ 1/6 (* -1/24 x)))))

rewrite565.0ms (6.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2846×	`-lowering-.f32`
2846×	`-lowering-.f64`
2280×	`/-lowering-/.f32`
2280×	`/-lowering-/.f64`
2072×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	333
1	319	164
2	3178	161
0	8563	161

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 901

Calls

Call 1

Inputs
(/ (* x (+ 1 (* x (+ 1/2 (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x))))))) x)
(* x (+ 1 (* x (+ 1/2 (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x)))))))
(+ 1 (* x (+ 1/2 (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x))))))
(* x (+ 1/2 (/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x)))))
(* 1/2 x)
(/ (* 1/24 (* x (* x (* x x)))) x)
(* 1/24 (* x (* x (* x x))))
(* x (* x (* x x)))
(* x (* x x))
(/ (* x (* (/ 1 x) (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))))) x)
(* x (* (/ 1 x) (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))))))
(* (/ 1 x) (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))))
(/ 1 x)
(+ 1 (* x (+ 1/2 (* x (/ (* (- 1/1296 (* (* (* x x) 1/576) (* (* x x) 1/576))) 1) (* (+ 1/36 (* (* x x) 1/576)) (+ 1/6 (* -1/24 x))))))))
(* x (+ 1/2 (* x (/ (* (- 1/1296 (* (* (* x x) 1/576) (* (* x x) 1/576))) 1) (* (+ 1/36 (* (* x x) 1/576)) (+ 1/6 (* -1/24 x)))))))
(+ 1/2 (* x (/ (* (- 1/1296 (* (* (* x x) 1/576) (* (* x x) 1/576))) 1) (* (+ 1/36 (* (* x x) 1/576)) (+ 1/6 (* -1/24 x))))))
(* x (/ (* (- 1/1296 (* (* (* x x) 1/576) (* (* x x) 1/576))) 1) (* (+ 1/36 (* (* x x) 1/576)) (+ 1/6 (* -1/24 x)))))
(/ (* (- 1/36 (* (* x x) 1/576)) x) (+ 1/6 (* -1/24 x)))
(* -1/24 x)
(* (- 1/36 (* (* x x) 1/576)) x)
(* x 1/24)
(* x (+ 1/6 (* x 1/24)))
(/ (* (- 1/1296 (* (* (* x x) 1/576) (* (* x x) 1/576))) 1) (* (+ 1/36 (* (* x x) 1/576)) (+ 1/6 (* -1/24 x))))
(* (* x x) 1/576)

Outputs
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) (/.f64 (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(fma.f64 x #s(literal 1/2 binary64) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) x #s(literal 1 binary64))
(fma.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) x #s(literal 1 binary64))
(neg.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) (-.f64 #s(literal 0 binary64) x)))
(neg.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))) (-.f64 #s(literal 0 binary64) x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))))))
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(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/2176782336 binary64) (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -1/36520347436056576 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))))) (neg.f64 (+.f64 #s(literal 1/1679616 binary64) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64)))) (+.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/331776 binary64)))))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/1679616 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/110075314176 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))))) (neg.f64 (+.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal -1/576 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (-.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
(.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))
(.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal 1/576 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))))
(.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (-.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64))))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64)))))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64))))) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (/.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64))))) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (pow.f64 (/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))) (-.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64)))))) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal -1/24 binary64)) (-.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/6 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))) (-.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64)))))) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))) (-.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64)))))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (+.f64 #s(literal 1/2176782336 binary64) (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -1/36520347436056576 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/1679616 binary64) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64)))) (+.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64)))))))))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (-.f64 #s(literal 1/1679616 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/110075314176 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/331776 binary64)))))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal -1/24 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1/24 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (*.f64 x #s(literal -1/24 binary64)))) #s(literal 1 binary64)))
(pow.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 2 binary64))
(.f64 x (.f64 x #s(literal 1/576 binary64)))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x #s(literal 1/24 binary64))))
(.f64 x (.f64 #s(literal -1/24 binary64) (*.f64 x #s(literal -1/24 binary64))))
(.f64 x (pow.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1 binary64)))
(.f64 x (pow.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x #s(literal 1/24 binary64))) #s(literal 1 binary64)))
(.f64 x (pow.f64 (.f64 #s(literal -1/24 binary64) (*.f64 x #s(literal -1/24 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(.f64 #s(literal 1/576 binary64) (.f64 x x))
(.f64 #s(literal -1/24 binary64) (.f64 x (*.f64 x #s(literal -1/24 binary64))))
(.f64 #s(literal -1/24 binary64) (pow.f64 (.f64 x (*.f64 x #s(literal -1/24 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 x #s(literal -1/24 binary64)) (*.f64 x #s(literal -1/24 binary64)))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(.f64 #s(literal 1/24 binary64) (pow.f64 (.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/24 binary64)))
(.f64 (.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/24 binary64))
(.f64 (.f64 x #s(literal 1/576 binary64)) x)
(.f64 (.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/24 binary64)) x)
(.f64 (.f64 (*.f64 x #s(literal -1/24 binary64)) x) #s(literal -1/24 binary64))
(.f64 (.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/24 binary64)) x)
(.f64 (pow.f64 (.f64 x #s(literal 1/576 binary64)) #s(literal 1 binary64)) x)
(.f64 (pow.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1 binary64)) #s(literal 1/24 binary64))
(.f64 (pow.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/24 binary64)) #s(literal 1 binary64)) x)
(.f64 (pow.f64 (.f64 (*.f64 x #s(literal -1/24 binary64)) x) #s(literal 1 binary64)) #s(literal -1/24 binary64))
(.f64 (pow.f64 (.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/24 binary64)) #s(literal 1 binary64)) x)

simplify205.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

3346×	`-lowering-.f32`
3346×	`-lowering-.f64`
1686×	`+-lowering-+.f64`
1686×	`+-lowering-+.f32`
1540×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	1976
1	298	1839
2	928	1736
3	3079	1626
0	8301	1626

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(* 1/2 x)
(* x (+ 1/2 (* 1/6 x)))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 4))
(* 1/24 (pow x 4))
(* 1/24 (pow x 4))
(* 1/24 (pow x 4))
(* 1/24 (pow x 4))
(* 1/24 (pow x 4))
(* 1/24 (pow x 4))
(* 1/24 (pow x 4))
(* 1/24 (pow x 4))
(* 1/24 (pow x 4))
(* 1/24 (pow x 4))
(* 1/24 (pow x 4))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(/ 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
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(* 1/2 x)
(* x (+ 1/2 (* 1/6 x)))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/6 x)
(* x (+ 1/6 (* 1/24 x)))
(* x (+ 1/6 (* 1/24 x)))
(* x (+ 1/6 (* 1/24 x)))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/6 x)
(* x (+ 1/6 (* 1/24 x)))
(* x (+ 1/6 (* 1/24 x)))
(* x (+ 1/6 (* 1/24 x)))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
(* 1/36 x)
(* x (+ 1/36 (* -1/576 (pow x 2))))
(* x (+ 1/36 (* -1/576 (pow x 2))))
(* x (+ 1/36 (* -1/576 (pow x 2))))
(* -1/576 (pow x 3))
(* (pow x 3) (- (* 1/36 (/ 1 (pow x 2))) 1/576))
(* (pow x 3) (- (* 1/36 (/ 1 (pow x 2))) 1/576))
(* (pow x 3) (- (* 1/36 (/ 1 (pow x 2))) 1/576))
(* -1/576 (pow x 3))
(* -1 (* (pow x 3) (- 1/576 (* 1/36 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/576 (* 1/36 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/576 (* 1/36 (/ 1 (pow x 2))))))
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/6 x)
(* x (+ 1/6 (* 1/24 x)))
(* x (+ 1/6 (* 1/24 x)))
(* x (+ 1/6 (* 1/24 x)))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
1/6
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
x
(* x (+ 1 (* 1/2 x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(* 1/24 (pow x 4))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (pow.f64 x #s(literal 4 binary64)))
(* 1/24 (pow x 4))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1/6 binary64)) x)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/6 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 4))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 1/24 (pow x 4))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 1/24 (pow x 4))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 1/24 (pow x 4))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 1/24 (pow x 4))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 1/24 (pow x 4))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 1/24 (pow x 4))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 1/24 (pow x 4))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 1/24 (pow x 4))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 1/24 (pow x 4))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 1/24 (pow x 4))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 1/24 (pow x 4))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
x
(* x (+ 1 (* 1/2 x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(* 1/24 (pow x 4))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (pow.f64 x #s(literal 4 binary64)))
(* 1/24 (pow x 4))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 (+.f64 #s(literal 1/24 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1/6 binary64)) x)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
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(* 1/36 x)
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(* x (+ 1/36 (* -1/576 (pow x 2))))
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(* 1/24 x)
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(* 1/24 x)
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1/6
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(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
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(* x (+ 1/24 (* 1/6 (/ 1 x))))
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(.f64 (.f64 x x) #s(literal 1/576 binary64))
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(.f64 (.f64 x x) #s(literal 1/576 binary64))

eval258.0ms (2.9%)

Compiler: Compiled 37973 to 3374 computations (91.1% saved)

prune143.0ms (1.6%)

Pruning

36 alts after pruning (29 fresh and 7 done)

	Pruned	Kept	Total
New	1317	18	1335
Fresh	11	11	22
Picked	3	2	5
Done	0	5	5
Total	1331	36	1367

Accuracy

100.0%

Counts

1367 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.3%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))) (.f64 x x)) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) x)) x)
	62.7%	(/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)))) x) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x)
	58.7%	(/.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal -1 binary64))))) x)
	50.1%	(/.f64 (/.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x) x) x)
▶	61.9%	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))) #s(literal 1 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64)))
▶	76.8%	(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/576 binary64)))) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))))))) x)
	22.0%	(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))) x)
✓	22.0%	(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) x)
✓	100.0%	(/.f64 (expm1.f64 x) x)
	64.0%	(+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
✓	71.3%	(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64)))))
	74.5%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))
	64.0%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (*.f64 x #s(literal 1/24 binary64))))))))
	64.0%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))))))
	74.5%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x)) (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal 1/576 binary64))) x))))))
	74.5%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) (+.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal -1/576 binary64)))))))
	74.5%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) x)))))
	61.5%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (-.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64))) (+.f64 #s(literal 1/36 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 #s(literal -1/144 binary64) x))))))))
	57.9%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (-.f64 #s(literal 1/1679616 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/110075314176 binary64))) (.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (+.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/331776 binary64)))))))))))
	57.5%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (+.f64 #s(literal 1/2176782336 binary64) (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -1/36520347436056576 binary64))) (.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (+.f64 #s(literal 1/1679616 binary64) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64)))) (+.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64)))))))))))))
	59.7%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/24 binary64)) x)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))))))))
	59.7%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x #s(literal -1/24 binary64)) x) #s(literal -1/24 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))))))))
	60.7%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/1679616 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/110075314176 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))))) (+.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64))))))))))
✓	74.5%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
✓	58.4%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
▶	76.9%	(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
	22.0%	(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))))
	19.8%	(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))
▶	22.0%	(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) x)))
	19.5%	(.f64 (.f64 x (*.f64 x x)) #s(literal 1/24 binary64))
	19.5%	(.f64 (.f64 x #s(literal 1/24 binary64)) (*.f64 x x))
	19.7%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
	19.5%	(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
✓	3.9%	(*.f64 #s(literal 1/2 binary64) x)
▶	16.6%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	58.1%	#s(literal 1 binary64)

Compiler

Compiled 1729 to 979 computations (43.4% saved)

simplify227.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
✓	cost-diff	0	(-.f64 (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))) #s(literal 1 binary64))
✓	cost-diff	1664	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))) #s(literal 1 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64)))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/576 binary64)))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x)))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/576 binary64)))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/576 binary64)))) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x)))))))
✓	cost-diff	256	(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/576 binary64)))) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))))))) x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 x x)))
✓	cost-diff	128	(*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	384	(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	384	(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))

Rules

3064×	`-lowering-.f32`
3064×	`-lowering-.f64`
2520×	`fma-lowering-fma.f32`
2520×	`fma-lowering-fma.f64`
1912×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	411
1	132	332
2	511	318
3	1908	315
4	5303	315
5	7665	315
0	8176	315

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (/ 1 x) (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))))
(/ 1 x)
1
x
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))
(* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))
(+ 1/2 (* x (+ 1/6 (* x 1/24))))
1/2
(* x (+ 1/6 (* x 1/24)))
(+ 1/6 (* x 1/24))
1/6
(* x 1/24)
1/24
(* 1/6 (* x x))
1/6
(* x x)
x
(* (* x (* x (* x x))) (* 1/24 (/ 1 x)))
(* x (* x (* x x)))
x
(* x (* x x))
(* x x)
(* 1/24 (/ 1 x))
1/24
(/ 1 x)
1
(/ (* x (+ 1 (* x (+ 1/2 (/ (* x (* x (* x -1/576))) (+ 1/6 (* -1/24 x))))))) x)
(* x (+ 1 (* x (+ 1/2 (/ (* x (* x (* x -1/576))) (+ 1/6 (* -1/24 x)))))))
x
(+ 1 (* x (+ 1/2 (/ (* x (* x (* x -1/576))) (+ 1/6 (* -1/24 x))))))
1
(* x (+ 1/2 (/ (* x (* x (* x -1/576))) (+ 1/6 (* -1/24 x)))))
(+ 1/2 (/ (* x (* x (* x -1/576))) (+ 1/6 (* -1/24 x))))
1/2
(/ (* x (* x (* x -1/576))) (+ 1/6 (* -1/24 x)))
(* x (* x (* x -1/576)))
(* x (* x -1/576))
(* x -1/576)
-1/576
(+ 1/6 (* -1/24 x))
1/6
(* -1/24 x)
-1/24
(/ (- (* (* x x) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (+ 1/2 (* x (+ 1/6 (* x 1/24)))))) 1) (- (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) 1))
(- (* (* x x) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (+ 1/2 (* x (+ 1/6 (* x 1/24)))))) 1)
(* (* x x) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (+ 1/2 (* x (+ 1/6 (* x 1/24))))))
(* x x)
x
(* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (+ 1/2 (* x (+ 1/6 (* x 1/24)))))
(+ 1/2 (* x (+ 1/6 (* x 1/24))))
1/2
(* x (+ 1/6 (* x 1/24)))
(+ 1/6 (* x 1/24))
1/6
(* x 1/24)
1/24
1
(- (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) 1)
(* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))

Outputs
(* (/ 1 x) (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(+ 1/2 (* x (+ 1/6 (* x 1/24))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))
1/2
#s(literal 1/2 binary64)
(* x (+ 1/6 (* x 1/24)))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
(+ 1/6 (* x 1/24))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
1/6
#s(literal 1/6 binary64)
(* x 1/24)
(*.f64 x #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)
(* 1/6 (* x x))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
1/6
#s(literal 1/6 binary64)
(* x x)
(*.f64 x x)
x
(* (* x (* x (* x x))) (* 1/24 (/ 1 x)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
x
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
(* 1/24 (/ 1 x))
(/.f64 #s(literal 1/24 binary64) x)
1/24
#s(literal 1/24 binary64)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(/ (* x (+ 1 (* x (+ 1/2 (/ (* x (* x (* x -1/576))) (+ 1/6 (* -1/24 x))))))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))))))
(* x (+ 1 (* x (+ 1/2 (/ (* x (* x (* x -1/576))) (+ 1/6 (* -1/24 x)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))))))
x
(+ 1 (* x (+ 1/2 (/ (* x (* x (* x -1/576))) (+ 1/6 (* -1/24 x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))))))
1
#s(literal 1 binary64)
(* x (+ 1/2 (/ (* x (* x (* x -1/576))) (+ 1/6 (* -1/24 x)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64))))))
(+ 1/2 (/ (* x (* x (* x -1/576))) (+ 1/6 (* -1/24 x))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))
1/2
#s(literal 1/2 binary64)
(/ (* x (* x (* x -1/576))) (+ 1/6 (* -1/24 x)))
(/.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))
(* x (* x (* x -1/576)))
(.f64 x (.f64 (*.f64 x x) #s(literal -1/576 binary64)))
(* x (* x -1/576))
(.f64 (.f64 x x) #s(literal -1/576 binary64))
(* x -1/576)
(*.f64 x #s(literal -1/576 binary64))
-1/576
#s(literal -1/576 binary64)
(+ 1/6 (* -1/24 x))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))
1/6
#s(literal 1/6 binary64)
(* -1/24 x)
(*.f64 x #s(literal -1/24 binary64))
-1/24
#s(literal -1/24 binary64)
(/ (- (* (* x x) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (+ 1/2 (* x (+ 1/6 (* x 1/24)))))) 1) (- (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) 1))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(- (* (* x x) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (+ 1/2 (* x (+ 1/6 (* x 1/24)))))) 1)
(+.f64 (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))) #s(literal -1 binary64))
(* (* x x) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (+ 1/2 (* x (+ 1/6 (* x 1/24))))))
(.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(* x x)
(*.f64 x x)
x
(* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (+ 1/2 (* x (+ 1/6 (* x 1/24)))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(+ 1/2 (* x (+ 1/6 (* x 1/24))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))
1/2
#s(literal 1/2 binary64)
(* x (+ 1/6 (* x 1/24)))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
(+ 1/6 (* x 1/24))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
1/6
#s(literal 1/6 binary64)
(* x 1/24)
(*.f64 x #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)
1
#s(literal 1 binary64)
(- (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) 1)
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal -1 binary64))
(* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))

localize209.0ms (2.3%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
✓	accuracy	99.6%	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	69.9%	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))) #s(literal 1 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64)))
✓	accuracy	99.4%	(*.f64 #s(literal -1/24 binary64) x)
✓	accuracy	99.4%	(*.f64 x #s(literal -1/576 binary64))
✓	accuracy	95.7%	(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/576 binary64)))) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))))))) x)
✓	accuracy	93.6%	(/.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/576 binary64)))) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x)))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.3%	(*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	92.5%	(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.7%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
✓	accuracy	99.6%	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	95.5%	(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))

Results

132.0ms	255×	0	valid
3.0ms	1×	5	exit

Compiler

Compiled 440 to 39 computations (91.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-mult: 50.0ms (59.9% of total)

...c/correct-round.rkt:119:19: 14.0ms (16.8% of total)

ival-div: 9.0ms (10.8% of total)

ival-add: 7.0ms (8.4% of total)

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

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

const: 0.0ms (0% of total)

series11.0ms (0.1%)

Counts

24 → 288

Calls

Call 1

Inputs
#<alt (* (/ 1 x) (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))))>
#<alt (/ 1 x)>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))>
#<alt (* 1/6 (* x x))>
#<alt (* x x)>
#<alt (* (* x (* x (* x x))) (* 1/24 (/ 1 x)))>
#<alt (* 1/24 (/ 1 x))>
#<alt (* x (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (/ (* x (+ 1 (* x (+ 1/2 (/ (* x (* x (* x -1/576))) (+ 1/6 (* -1/24 x))))))) x)>
#<alt (* x (+ 1 (* x (+ 1/2 (/ (* x (* x (* x -1/576))) (+ 1/6 (* -1/24 x)))))))>
#<alt (+ 1 (* x (+ 1/2 (/ (* x (* x (* x -1/576))) (+ 1/6 (* -1/24 x))))))>
#<alt (* x (+ 1/2 (/ (* x (* x (* x -1/576))) (+ 1/6 (* -1/24 x)))))>
#<alt (/ (- (* (* x x) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (+ 1/2 (* x (+ 1/6 (* x 1/24)))))) 1) (- (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) 1))>
#<alt (- (* (* x x) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (+ 1/2 (* x (+ 1/6 (* x 1/24)))))) 1)>
#<alt (* (* x x) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (+ 1/2 (* x (+ 1/6 (* x 1/24))))))>
#<alt (* x 1/24)>
#<alt (* x (+ 1/6 (* x 1/24)))>
#<alt (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))>
#<alt (/ (* x (* x (* x -1/576))) (+ 1/6 (* -1/24 x)))>
#<alt (* x -1/576)>
#<alt (* -1/24 x)>
#<alt (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (+ 1/2 (* x (+ 1/6 (* x 1/24)))))>

Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<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)>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (/ 1/24 x)>
#<alt (/ 1/24 x)>
#<alt (/ 1/24 x)>
#<alt (/ 1/24 x)>
#<alt (/ 1/24 x)>
#<alt (/ 1/24 x)>
#<alt (/ 1/24 x)>
#<alt (/ 1/24 x)>
#<alt (/ 1/24 x)>
#<alt (/ 1/24 x)>
#<alt (/ 1/24 x)>
#<alt (/ 1/24 x)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* -1/96 (pow x 3)))))>
#<alt (+ 1 (* x (+ 1/2 (* (pow x 3) (- (* -1/384 x) 1/96)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (* 1/6 (/ 1 x)) (/ 7/6 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (* 1/6 (/ 1 x)) (+ (* 11/3 (/ 1 (pow x 3))) (/ 7/6 (pow x 2))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 7/6 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 7/6 (/ 1 x)) (/ 11/3 (pow x 2)))) x)) 1/24)))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* -1/96 (pow x 3))))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* (pow x 3) (- (* -1/384 x) 1/96))))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/6 (/ 1 x)) (/ 7/6 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/6 (/ 1 x)) (+ (* 11/3 (/ 1 (pow x 3))) (/ 7/6 (pow x 2))))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/6 (/ 1 x)) (/ 7/6 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 7/6 (* 11/3 (/ 1 x))) x)) 1/6) x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* -1/96 (pow x 3)))))>
#<alt (+ 1 (* x (+ 1/2 (* (pow x 3) (- (* -1/384 x) 1/96)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (* 1/6 (/ 1 x)) (/ 7/6 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (* 1/6 (/ 1 x)) (+ (* 11/3 (/ 1 (pow x 3))) (/ 7/6 (pow x 2))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 7/6 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 7/6 (/ 1 x)) (/ 11/3 (pow x 2)))) x)) 1/24)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/96 (pow x 3))))>
#<alt (* x (+ 1/2 (* (pow x 3) (- (* -1/384 x) 1/96))))>
#<alt (* x (+ 1/2 (* (pow x 3) (- (* x (- (* -1/1536 x) 1/384)) 1/96))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (* 1/6 (/ 1 x)) (/ 7/6 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (* 1/6 (/ 1 x)) (+ (* 8/3 (/ 1 (pow x 3))) (/ 7/6 (pow x 2))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 7/6 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 7/6 (/ 1 x)) (/ 8/3 (pow x 2)))) x)) 1/24)))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<alt -1>
#<alt (- (* 1/4 (pow x 2)) 1)>
#<alt (- (* (pow x 2) (+ 1/4 (* 1/6 x))) 1)>
#<alt (- (* (pow x 2) (+ 1/4 (* x (+ 1/6 (* 5/72 x))))) 1)>
#<alt (* 1/576 (pow x 6))>
#<alt (* (pow x 6) (+ 1/576 (* 1/72 (/ 1 x))))>
#<alt (* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))>
#<alt (* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (+ (* 1/72 (/ 1 x)) (* 1/6 (/ 1 (pow x 3)))))))>
#<alt (* 1/576 (pow x 6))>
#<alt (* (pow x 6) (+ 1/576 (* 1/72 (/ 1 x))))>
#<alt (* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))>
#<alt (* (pow x 6) (+ 1/576 (* -1 (/ (- (* -1 (/ (+ 5/72 (* 1/6 (/ 1 x))) x)) 1/72) x))))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* 1/6 x)))>
#<alt (* (pow x 2) (+ 1/4 (* x (+ 1/6 (* 5/72 x)))))>
#<alt (* (pow x 2) (+ 1/4 (* x (+ 1/6 (* x (+ 5/72 (* 1/72 x)))))))>
#<alt (* 1/576 (pow x 6))>
#<alt (* (pow x 6) (+ 1/576 (* 1/72 (/ 1 x))))>
#<alt (* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))>
#<alt (* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (+ (* 1/72 (/ 1 x)) (* 1/6 (/ 1 (pow x 3)))))))>
#<alt (* 1/576 (pow x 6))>
#<alt (* (pow x 6) (+ 1/576 (* 1/72 (/ 1 x))))>
#<alt (* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))>
#<alt (* (pow x 6) (+ 1/576 (* -1 (/ (- (* -1 (/ (+ 5/72 (* 1/6 (/ 1 x))) x)) 1/72) x))))>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/6 x)))>
#<alt (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))>
#<alt (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1/96 (pow x 3))>
#<alt (* (pow x 3) (- (* -1/384 x) 1/96))>
#<alt (* (pow x 3) (- (* x (- (* -1/1536 x) 1/384)) 1/96))>
#<alt (* (pow x 3) (- (* x (- (* x (- (* -1/6144 x) 1/1536)) 1/384)) 1/96))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 2/3 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 2/3 (pow x 2)) (+ (* 1/6 (/ 1 x)) (* 8/3 (/ 1 (pow x 3)))))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 2/3 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 2/3 (* 8/3 (/ 1 x))) x)) 1/6) x))))>
#<alt (* -1/576 x)>
#<alt (* -1/576 x)>
#<alt (* -1/576 x)>
#<alt (* -1/576 x)>
#<alt (* -1/576 x)>
#<alt (* -1/576 x)>
#<alt (* -1/576 x)>
#<alt (* -1/576 x)>
#<alt (* -1/576 x)>
#<alt (* -1/576 x)>
#<alt (* -1/576 x)>
#<alt (* -1/576 x)>
#<alt (* -1/24 x)>
#<alt (* -1/24 x)>
#<alt (* -1/24 x)>
#<alt (* -1/24 x)>
#<alt (* -1/24 x)>
#<alt (* -1/24 x)>
#<alt (* -1/24 x)>
#<alt (* -1/24 x)>
#<alt (* -1/24 x)>
#<alt (* -1/24 x)>
#<alt (* -1/24 x)>
#<alt (* -1/24 x)>
#<alt 1/4>
#<alt (+ 1/4 (* 1/6 x))>
#<alt (+ 1/4 (* x (+ 1/6 (* 5/72 x))))>
#<alt (+ 1/4 (* x (+ 1/6 (* x (+ 5/72 (* 1/72 x))))))>
#<alt (* 1/576 (pow x 4))>
#<alt (* (pow x 4) (+ 1/576 (* 1/72 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/576 (+ (/ 5/72 (pow x 2)) (+ (* 1/72 (/ 1 x)) (* 1/6 (/ 1 (pow x 3)))))))>
#<alt (* 1/576 (pow x 4))>
#<alt (* (pow x 4) (+ 1/576 (* 1/72 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/576 (* -1 (/ (- (* -1 (/ (+ 5/72 (* 1/6 (/ 1 x))) x)) 1/72) x))))>

Calls

72 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(* x 1/24)
0.0ms	x	@	inf	(* x -1/576)
0.0ms	x	@	-inf	(/ (* x (+ 1 (* x (+ 1/2 (/ (* x (* x (* x -1/576))) (+ 1/6 (* -1/24 x))))))) x)
0.0ms	x	@	inf	(/ (* x (+ 1 (* x (+ 1/2 (/ (* x (* x (* x -1/576))) (+ 1/6 (* -1/24 x))))))) x)
0.0ms	x	@	0	(/ (* x (+ 1 (* x (+ 1/2 (/ (* x (* x (* x -1/576))) (+ 1/6 (* -1/24 x))))))) x)

rewrite421.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3398×	`-lowering-.f32`
3398×	`-lowering-.f64`
2630×	`fma-lowering-fma.f32`
2630×	`fma-lowering-fma.f64`
1968×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	261
1	250	198
2	2356	196
0	8423	196

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 712

Calls

Call 1

Inputs
(* (/ 1 x) (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))))
(/ 1 x)
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))
(* 1/6 (* x x))
(* x x)
(* (* x (* x (* x x))) (* 1/24 (/ 1 x)))
(* 1/24 (/ 1 x))
(* x (* x (* x x)))
(* x (* x x))
(/ (* x (+ 1 (* x (+ 1/2 (/ (* x (* x (* x -1/576))) (+ 1/6 (* -1/24 x))))))) x)
(* x (+ 1 (* x (+ 1/2 (/ (* x (* x (* x -1/576))) (+ 1/6 (* -1/24 x)))))))
(+ 1 (* x (+ 1/2 (/ (* x (* x (* x -1/576))) (+ 1/6 (* -1/24 x))))))
(* x (+ 1/2 (/ (* x (* x (* x -1/576))) (+ 1/6 (* -1/24 x)))))
(/ (- (* (* x x) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (+ 1/2 (* x (+ 1/6 (* x 1/24)))))) 1) (- (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) 1))
(- (* (* x x) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (+ 1/2 (* x (+ 1/6 (* x 1/24)))))) 1)
(* (* x x) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (+ 1/2 (* x (+ 1/6 (* x 1/24))))))
(* x 1/24)
(* x (+ 1/6 (* x 1/24)))
(* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))
(/ (* x (* x (* x -1/576))) (+ 1/6 (* -1/24 x)))
(* x -1/576)
(* -1/24 x)
(* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (+ 1/2 (* x (+ 1/6 (* x 1/24)))))

Outputs
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (*.f64 x x))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))))) #s(literal 1 binary64))
(+.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (.f64 x x))) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))))) #s(literal -1 binary64)))))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 (.f64 x (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))))
(+.f64 (fma.f64 x (/.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))))) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))) #s(literal -1 binary64))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))) #s(literal -1 binary64))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))) #s(literal -1 binary64)))) #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))) #s(literal -1 binary64))) #s(literal 1 binary64))))
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(+.f64 (fma.f64 x (/.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))))) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))) #s(literal -1 binary64))) (neg.f64 (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (.f64 x x)))) #s(literal -1 binary64)))))) (fma.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (.f64 x x)))) #s(literal -1 binary64))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (.f64 x x)))) #s(literal -1 binary64))))))
(+.f64 (fma.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))) #s(literal -1 binary64))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))) #s(literal -1 binary64))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))) #s(literal -1 binary64)))) #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))) #s(literal -1 binary64))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))) #s(literal -1 binary64))) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (.f64 x x))) #s(literal -1 binary64)))))) (fma.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (.f64 x x))) #s(literal -1 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (*.f64 x x))) #s(literal -1 binary64))))))
(+.f64 (fma.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))) #s(literal -1 binary64))) (neg.f64 (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (.f64 x x)))) #s(literal -1 binary64)))))) (fma.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (.f64 x x)))) #s(literal -1 binary64))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (.f64 x x)))) #s(literal -1 binary64))))))
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(/.f64 (+.f64 (.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))) (.f64 x (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))))) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) (-.f64 (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) (.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))) (.f64 x (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))))))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) (-.f64 (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))) (.f64 x (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))))) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (-.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))) (.f64 x (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (-.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))))))
(/.f64 (+.f64 (.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))) (.f64 x (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))))) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) (-.f64 (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) (.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))) (.f64 x (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))))) #s(literal 1/2 binary64)))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) (-.f64 (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))) (.f64 x (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))))) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (-.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))) (.f64 x (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))))) #s(literal 1/2 binary64)))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (-.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))))))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) #s(literal 2 binary64))
(pow.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))))) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))))) #s(literal 2 binary64))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64))))))
(.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) (.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))) (.f64 x (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))))) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) (.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))) (.f64 x (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) (-.f64 (.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))) (.f64 x (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))))) (-.f64 #s(literal 1/4 binary64) (.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))) (.f64 x (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))) #s(literal 2 binary64)))
(.f64 (exp.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))))) (exp.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64))))))))

simplify301.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

4846×	`-lowering-.f32`
4846×	`-lowering-.f64`
2992×	`+-lowering-+.f64`
2992×	`+-lowering-+.f32`
1362×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	228	2181
1	771	2060
2	2459	2034
3	7424	2034
0	8063	2034

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(/ 1/24 x)
(/ 1/24 x)
(/ 1/24 x)
(/ 1/24 x)
(/ 1/24 x)
(/ 1/24 x)
(/ 1/24 x)
(/ 1/24 x)
(/ 1/24 x)
(/ 1/24 x)
(/ 1/24 x)
(/ 1/24 x)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/96 (pow x 3)))))
(+ 1 (* x (+ 1/2 (* (pow x 3) (- (* -1/384 x) 1/96)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (* 1/6 (/ 1 x)) (/ 7/6 (pow x 2)))))
(* (pow x 3) (+ 1/24 (+ (* 1/6 (/ 1 x)) (+ (* 11/3 (/ 1 (pow x 3))) (/ 7/6 (pow x 2))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 7/6 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 7/6 (/ 1 x)) (/ 11/3 (pow x 2)))) x)) 1/24)))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* -1/96 (pow x 3))))))
(* x (+ 1 (* x (+ 1/2 (* (pow x 3) (- (* -1/384 x) 1/96))))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (* 1/6 (/ 1 x)) (/ 7/6 (pow x 2)))))
(* (pow x 4) (+ 1/24 (+ (* 1/6 (/ 1 x)) (+ (* 11/3 (/ 1 (pow x 3))) (/ 7/6 (pow x 2))))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (* 1/6 (/ 1 x)) (/ 7/6 (pow x 2)))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 7/6 (* 11/3 (/ 1 x))) x)) 1/6) x))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/96 (pow x 3)))))
(+ 1 (* x (+ 1/2 (* (pow x 3) (- (* -1/384 x) 1/96)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (* 1/6 (/ 1 x)) (/ 7/6 (pow x 2)))))
(* (pow x 3) (+ 1/24 (+ (* 1/6 (/ 1 x)) (+ (* 11/3 (/ 1 (pow x 3))) (/ 7/6 (pow x 2))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 7/6 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 7/6 (/ 1 x)) (/ 11/3 (pow x 2)))) x)) 1/24)))
(* 1/2 x)
(* x (+ 1/2 (* -1/96 (pow x 3))))
(* x (+ 1/2 (* (pow x 3) (- (* -1/384 x) 1/96))))
(* x (+ 1/2 (* (pow x 3) (- (* x (- (* -1/1536 x) 1/384)) 1/96))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (* 1/6 (/ 1 x)) (/ 7/6 (pow x 2)))))
(* (pow x 3) (+ 1/24 (+ (* 1/6 (/ 1 x)) (+ (* 8/3 (/ 1 (pow x 3))) (/ 7/6 (pow x 2))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 7/6 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 7/6 (/ 1 x)) (/ 8/3 (pow x 2)))) x)) 1/24)))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
-1
(- (* 1/4 (pow x 2)) 1)
(- (* (pow x 2) (+ 1/4 (* 1/6 x))) 1)
(- (* (pow x 2) (+ 1/4 (* x (+ 1/6 (* 5/72 x))))) 1)
(* 1/576 (pow x 6))
(* (pow x 6) (+ 1/576 (* 1/72 (/ 1 x))))
(* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))
(* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (+ (* 1/72 (/ 1 x)) (* 1/6 (/ 1 (pow x 3)))))))
(* 1/576 (pow x 6))
(* (pow x 6) (+ 1/576 (* 1/72 (/ 1 x))))
(* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))
(* (pow x 6) (+ 1/576 (* -1 (/ (- (* -1 (/ (+ 5/72 (* 1/6 (/ 1 x))) x)) 1/72) x))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* 1/6 x)))
(* (pow x 2) (+ 1/4 (* x (+ 1/6 (* 5/72 x)))))
(* (pow x 2) (+ 1/4 (* x (+ 1/6 (* x (+ 5/72 (* 1/72 x)))))))
(* 1/576 (pow x 6))
(* (pow x 6) (+ 1/576 (* 1/72 (/ 1 x))))
(* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))
(* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (+ (* 1/72 (/ 1 x)) (* 1/6 (/ 1 (pow x 3)))))))
(* 1/576 (pow x 6))
(* (pow x 6) (+ 1/576 (* 1/72 (/ 1 x))))
(* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))
(* (pow x 6) (+ 1/576 (* -1 (/ (- (* -1 (/ (+ 5/72 (* 1/6 (/ 1 x))) x)) 1/72) x))))
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/6 x)
(* x (+ 1/6 (* 1/24 x)))
(* x (+ 1/6 (* 1/24 x)))
(* x (+ 1/6 (* 1/24 x)))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/2 x)
(* x (+ 1/2 (* 1/6 x)))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1/96 (pow x 3))
(* (pow x 3) (- (* -1/384 x) 1/96))
(* (pow x 3) (- (* x (- (* -1/1536 x) 1/384)) 1/96))
(* (pow x 3) (- (* x (- (* x (- (* -1/6144 x) 1/1536)) 1/384)) 1/96))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 2/3 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 2/3 (pow x 2)) (+ (* 1/6 (/ 1 x)) (* 8/3 (/ 1 (pow x 3)))))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 2/3 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 2/3 (* 8/3 (/ 1 x))) x)) 1/6) x))))
(* -1/576 x)
(* -1/576 x)
(* -1/576 x)
(* -1/576 x)
(* -1/576 x)
(* -1/576 x)
(* -1/576 x)
(* -1/576 x)
(* -1/576 x)
(* -1/576 x)
(* -1/576 x)
(* -1/576 x)
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
1/4
(+ 1/4 (* 1/6 x))
(+ 1/4 (* x (+ 1/6 (* 5/72 x))))
(+ 1/4 (* x (+ 1/6 (* x (+ 5/72 (* 1/72 x))))))
(* 1/576 (pow x 4))
(* (pow x 4) (+ 1/576 (* 1/72 (/ 1 x))))
(* (pow x 4) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))
(* (pow x 4) (+ 1/576 (+ (/ 5/72 (pow x 2)) (+ (* 1/72 (/ 1 x)) (* 1/6 (/ 1 (pow x 3)))))))
(* 1/576 (pow x 4))
(* (pow x 4) (+ 1/576 (* 1/72 (/ 1 x))))
(* (pow x 4) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))
(* (pow x 4) (+ 1/576 (* -1 (/ (- (* -1 (/ (+ 5/72 (* 1/6 (/ 1 x))) x)) 1/72) x))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(+.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))))) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) #s(literal -1/24 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)))) x) #s(literal -1/24 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (* 1/2 x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(.f64 (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 x (.f64 x (*.f64 x x))))
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1/6 binary64)) x)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(+.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))))) #s(literal 1 binary64))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) #s(literal -1/24 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)))) x) #s(literal -1/24 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(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)
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(/ 1/24 x)
(/.f64 #s(literal 1/24 binary64) x)
(/ 1/24 x)
(/.f64 #s(literal 1/24 binary64) x)
(/ 1/24 x)
(/.f64 #s(literal 1/24 binary64) x)
(/ 1/24 x)
(/.f64 #s(literal 1/24 binary64) x)
(/ 1/24 x)
(/.f64 #s(literal 1/24 binary64) x)
(/ 1/24 x)
(/.f64 #s(literal 1/24 binary64) x)
(/ 1/24 x)
(/.f64 #s(literal 1/24 binary64) x)
(/ 1/24 x)
(/.f64 #s(literal 1/24 binary64) x)
(/ 1/24 x)
(/.f64 #s(literal 1/24 binary64) x)
(/ 1/24 x)
(/.f64 #s(literal 1/24 binary64) x)
(/ 1/24 x)
(/.f64 #s(literal 1/24 binary64) x)
(/ 1/24 x)
(/.f64 #s(literal 1/24 binary64) x)
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+ 1 (* x (+ 1/2 (* -1/96 (pow x 3)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/96 binary64)))))
(+ 1 (* x (+ 1/2 (* (pow x 3) (- (* -1/384 x) 1/96)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/96 binary64) (*.f64 x #s(literal -1/384 binary64)))))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))
(* (pow x 3) (+ 1/24 (+ (* 1/6 (/ 1 x)) (/ 7/6 (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 7/6 binary64) (.f64 x x)))))
(* (pow x 3) (+ 1/24 (+ (* 1/6 (/ 1 x)) (+ (* 11/3 (/ 1 (pow x 3))) (/ 7/6 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 (/.f64 #s(literal 7/6 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/3 binary64) (.f64 x (.f64 x x)))))))
(* 1/24 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 7/6 (/ 1 x))) x)) 1/24)))
(.f64 (.f64 x (*.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -7/6 binary64) x)) x) #s(literal -1/24 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 7/6 (/ 1 x)) (/ 11/3 (pow x 2)))) x)) 1/24)))
(.f64 x (.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (+.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -7/6 binary64) x)) (/.f64 (/.f64 #s(literal -11/3 binary64) x) x)) x) #s(literal -1/24 binary64)))))
x
(* x (+ 1 (* 1/2 x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))
(* x (+ 1 (* x (+ 1/2 (* -1/96 (pow x 3))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/96 binary64))))))
(* x (+ 1 (* x (+ 1/2 (* (pow x 3) (- (* -1/384 x) 1/96))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/96 binary64) (.f64 x #s(literal -1/384 binary64))))))))
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/24 (+ (* 1/6 (/ 1 x)) (/ 7/6 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1/6 binary64) x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 7/6 binary64) (*.f64 x x)))))
(* (pow x 4) (+ 1/24 (+ (* 1/6 (/ 1 x)) (+ (* 11/3 (/ 1 (pow x 3))) (/ 7/6 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 7/6 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/3 binary64) (.f64 x (*.f64 x x)))))))
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/24 (+ (* 1/6 (/ 1 x)) (/ 7/6 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1/6 binary64) x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 7/6 binary64) (*.f64 x x)))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 7/6 (* 11/3 (/ 1 x))) x)) 1/6) x))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -7/6 binary64) (/.f64 #s(literal -11/3 binary64) x)) x) #s(literal -1/6 binary64)) x)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+ 1 (* x (+ 1/2 (* -1/96 (pow x 3)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/96 binary64)))))
(+ 1 (* x (+ 1/2 (* (pow x 3) (- (* -1/384 x) 1/96)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/96 binary64) (*.f64 x #s(literal -1/384 binary64)))))))
(* 1/24 (pow x 3))
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(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64))
(* (pow x 4) (+ 1/576 (* 1/72 (/ 1 x))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 1/72 binary64) x)))
(* (pow x 4) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 1/72 binary64) x)) (/.f64 #s(literal 5/72 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/576 (+ (/ 5/72 (pow x 2)) (+ (* 1/72 (/ 1 x)) (* 1/6 (/ 1 (pow x 3)))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/576 binary64) (+.f64 (/.f64 #s(literal 1/72 binary64) x) (+.f64 (/.f64 #s(literal 5/72 binary64) (.f64 x x)) (/.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))))))
(* 1/576 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64))
(* (pow x 4) (+ 1/576 (* 1/72 (/ 1 x))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 1/72 binary64) x)))
(* (pow x 4) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 1/72 binary64) x)) (/.f64 #s(literal 5/72 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/576 (* -1 (/ (- (* -1 (/ (+ 5/72 (* 1/6 (/ 1 x))) x)) 1/72) x))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1/576 binary64) (/.f64 (-.f64 #s(literal -1/72 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 5/72 binary64)) x)) x)))

eval187.0ms (2.1%)

Compiler: Compiled 58119 to 2738 computations (95.3% saved)

prune181.0ms (2%)

Pruning

35 alts after pruning (27 fresh and 8 done)

	Pruned	Kept	Total
New	1218	14	1232
Fresh	11	13	24
Picked	4	1	5
Done	0	7	7
Total	1233	35	1268

Accuracy

100.0%

Counts

1268 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.3%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))) (.f64 x x)) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) x)) x)
	62.7%	(/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)))) x) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x)
	58.7%	(/.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal -1 binary64))))) x)
	50.1%	(/.f64 (/.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x) x) x)
	78.7%	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
	61.7%	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64)))
	76.8%	(/.f64 (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/576 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))) x) x)
	76.8%	(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (/.f64 (.f64 x #s(literal -1/576 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))))))) x)
✓	22.0%	(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) x)
✓	100.0%	(/.f64 (expm1.f64 x) x)
	58.4%	(/.f64 #s(literal -1 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64)))
✓	71.3%	(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64)))))
	74.5%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))
	64.0%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))))))
	74.5%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x)) (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal 1/576 binary64))) x))))))
	61.5%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (-.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64))) (+.f64 #s(literal 1/36 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 #s(literal -1/144 binary64) x))))))))
	57.5%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (+.f64 #s(literal 1/2176782336 binary64) (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -1/36520347436056576 binary64))) (.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (+.f64 #s(literal 1/1679616 binary64) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64)))) (+.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64)))))))))))))
✓	74.5%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
✓	58.4%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
	22.0%	(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))))
	58.0%	(*.f64 (/.f64 #s(literal 1 binary64) x) x)
	74.3%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/576 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))))) #s(literal 1 binary64))
	19.8%	(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))
	22.0%	(.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) x)))
	22.0%	(.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) x)))
	18.8%	(.f64 (.f64 x (*.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -7/6 binary64) x)) x) #s(literal -1/24 binary64))))
	19.8%	(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))
	19.5%	(.f64 (.f64 x (*.f64 x x)) #s(literal 1/24 binary64))
	16.6%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
	19.5%	(.f64 (.f64 x #s(literal 1/24 binary64)) (*.f64 x x))
	19.5%	(.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) x)
	19.5%	(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
✓	3.9%	(*.f64 #s(literal 1/2 binary64) x)
✓	16.6%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	58.1%	#s(literal 1 binary64)

Compiler

Compiled 2282 to 723 computations (68.3% saved)

regimes71.0ms (0.8%)

Counts

66 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) x)
(.f64 (.f64 x #s(literal 1/24 binary64)) (*.f64 x x))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/24 binary64))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))
(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) x)
(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))) x)
(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))
(+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(/.f64 #s(literal -1 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64)))
(.f64 (.f64 x (*.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -7/6 binary64) x)) x) #s(literal -1/24 binary64))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) x)
(.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/576 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) (+.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal -1/576 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))))))
(/.f64 (/.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x) x) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) x)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x)) (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal 1/576 binary64))) x))))))
(/.f64 (.f64 x (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))))) x)
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (/.f64 (.f64 x #s(literal -1/576 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))))))) x)
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/576 binary64)))) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))))))) x)
(/.f64 (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/576 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))) x) x)
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))))))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/144 binary64) x))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (-.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64))) (+.f64 #s(literal 1/36 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 #s(literal -1/144 binary64) x))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))) x) (-.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (*.f64 x #s(literal 1/24 binary64))))))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))))))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x #s(literal -1/24 binary64)) x) #s(literal -1/24 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/24 binary64)) x)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))) #s(literal 1 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64)))
(/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)))) x) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x)
(/.f64 (/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))) (.f64 x x)) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) x)) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (-.f64 #s(literal 1/1679616 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/110075314176 binary64))) (.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (+.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/331776 binary64)))))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/1679616 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/110075314176 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))))) (+.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64))))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (.f64 x (.f64 x x))) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (*.f64 x #s(literal 1/6 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 x x))))) (+.f64 (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (.f64 x (*.f64 x x)))))))))
(/.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal -1 binary64))))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (+.f64 #s(literal 1/2176782336 binary64) (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -1/36520347436056576 binary64))) (.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (+.f64 #s(literal 1/1679616 binary64) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64)))) (+.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64)))))))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Outputs
(/.f64 (expm1.f64 x) x)

Calls

2 calls:

32.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
28.0ms	x

Results

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes28.0ms (0.3%)

Counts

64 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) x)
(.f64 (.f64 x #s(literal 1/24 binary64)) (*.f64 x x))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/24 binary64))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))
(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) x)
(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))) x)
(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))
(+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(/.f64 #s(literal -1 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64)))
(.f64 (.f64 x (*.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -7/6 binary64) x)) x) #s(literal -1/24 binary64))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) x)
(.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/576 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) (+.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal -1/576 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))))))
(/.f64 (/.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x) x) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) x)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x)) (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal 1/576 binary64))) x))))))
(/.f64 (.f64 x (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))))) x)
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (/.f64 (.f64 x #s(literal -1/576 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))))))) x)
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/576 binary64)))) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))))))) x)
(/.f64 (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/576 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))) x) x)
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))))))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/144 binary64) x))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (-.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64))) (+.f64 #s(literal 1/36 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 #s(literal -1/144 binary64) x))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))) x) (-.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (*.f64 x #s(literal 1/24 binary64))))))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))))))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x #s(literal -1/24 binary64)) x) #s(literal -1/24 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/24 binary64)) x)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))) #s(literal 1 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64)))
(/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)))) x) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x)
(/.f64 (/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))) (.f64 x x)) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) x)) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (-.f64 #s(literal 1/1679616 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/110075314176 binary64))) (.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (+.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/331776 binary64)))))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/1679616 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/110075314176 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))))) (+.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64))))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (.f64 x (.f64 x x))) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (*.f64 x #s(literal 1/6 binary64)))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) (.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 x x))))) (+.f64 (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (.f64 x (*.f64 x x)))))))))
(/.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal -1 binary64))))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (+.f64 #s(literal 1/2176782336 binary64) (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -1/36520347436056576 binary64))) (.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (+.f64 #s(literal 1/1679616 binary64) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64)))) (+.f64 #s(literal 1/1296 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/331776 binary64)))))))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))

Outputs

(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))

Calls

1 calls:

18.0ms

Results

Accuracy	Segments	Branch
78.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes17.0ms (0.2%)

Counts

47 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) x)
(.f64 (.f64 x #s(literal 1/24 binary64)) (*.f64 x x))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/24 binary64))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))
(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) x)
(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))) x)
(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))
(+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(/.f64 #s(literal -1 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64)))
(.f64 (.f64 x (*.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -7/6 binary64) x)) x) #s(literal -1/24 binary64))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) x)
(.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/576 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) (+.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal -1/576 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))))))
(/.f64 (/.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x) x) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) x)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x)) (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal 1/576 binary64))) x))))))
(/.f64 (.f64 x (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))))) x)
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (/.f64 (.f64 x #s(literal -1/576 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))))))) x)
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/576 binary64)))) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))))))) x)
(/.f64 (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/576 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))))) x) x)
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))))))) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/144 binary64) x))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (-.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/13824 binary64))) (+.f64 #s(literal 1/36 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (.f64 #s(literal -1/144 binary64) x))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 x (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))) x) (-.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))

Outputs

(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64)))

(/.f64 (/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) x) x) x)

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
79.1%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes11.0ms (0.1%)

Counts

33 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) x)
(.f64 (.f64 x #s(literal 1/24 binary64)) (*.f64 x x))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/24 binary64))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))
(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) x)
(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))) x)
(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))
(+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(/.f64 #s(literal -1 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64)))
(.f64 (.f64 x (*.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -7/6 binary64) x)) x) #s(literal -1/24 binary64))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) x)
(.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/576 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64))))))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/24 binary64)))) (+.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal -1/576 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))))))

Outputs
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) x)

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
77.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes11.0ms (0.1%)

Counts

27 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) x)
(.f64 (.f64 x #s(literal 1/24 binary64)) (*.f64 x x))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/24 binary64))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))
(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) x)
(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))) x)
(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))
(+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(/.f64 #s(literal -1 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64)))
(.f64 (.f64 x (*.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -7/6 binary64) x)) x) #s(literal -1/24 binary64))))

Outputs

(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64)))

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
77.8%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts

25 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) x)
(.f64 (.f64 x #s(literal 1/24 binary64)) (*.f64 x x))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/24 binary64))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))
(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) x)
(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x))) x)
(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 x x)))))
(+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))

Outputs
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64)))))
(/.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) x)

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
77.5%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts

16 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) x)
(.f64 (.f64 x #s(literal 1/24 binary64)) (*.f64 x x))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/24 binary64))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
73.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

12 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) x)
(.f64 (.f64 x #s(literal 1/24 binary64)) (*.f64 x x))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/24 binary64))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))

Outputs
#s(literal 1 binary64)
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
74.6%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

11 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(.f64 (.f64 #s(literal 1/24 binary64) (*.f64 x x)) x)
(.f64 (.f64 x #s(literal 1/24 binary64)) (*.f64 x x))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/24 binary64))

Outputs
#s(literal 1 binary64)
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
74.6%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
70.8%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -35.1b remaining (-130.7%)

Threshold costs -35.1b (-130.7%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(literal 1 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
58.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch3.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	2.2753153008377537e-33	5.536500890551843e-32

Results

2.0ms

16×

valid

Compiler

Compiled 51 to 38 computations (25.5% saved)

Precisions

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

const: 0.0ms (0% of total)

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

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

ival-exp: 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
14.0ms	4.166109177768987e-5	288010204.5711246

Results

9.0ms

160×

valid

Compiler

Compiled 311 to 228 computations (26.7% saved)

Precisions

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

ival-exp: 2.0ms (51.5% of total)

ival-sub: 1.0ms (25.7% of total)

ival-div: 1.0ms (25.7% 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
14.0ms	4.166109177768987e-5	288010204.5711246

Results

8.0ms

160×

valid

Compiler

Compiled 251 to 178 computations (29.1% saved)

Precisions

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

ival-sub: 2.0ms (41.2% of total)

ival-exp: 2.0ms (41.2% of total)

ival-div: 1.0ms (20.6% of total)

const: 0.0ms (0% of total)

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

bsearch34.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	4.166109177768987e-5	288010204.5711246

Results

7.0ms

160×

valid

Compiler

Compiled 151 to 118 computations (21.9% saved)

Precisions

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

ival-exp: 2.0ms (53.3% of total)

ival-sub: 1.0ms (26.7% of total)

ival-div: 1.0ms (26.7% of total)

const: 0.0ms (0% of total)

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

bsearch14.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	4.166109177768987e-5	288010204.5711246

Results

7.0ms

160×

valid

Compiler

Compiled 131 to 98 computations (25.2% saved)

Precisions

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

ival-exp: 2.0ms (53.6% of total)

ival-sub: 1.0ms (26.8% of total)

ival-div: 1.0ms (26.8% of total)

const: 0.0ms (0% of total)

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

bsearch42.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
41.0ms	4.166109177768987e-5	288010204.5711246

Results

36.0ms

160×

valid

Compiler

Compiled 111 to 88 computations (20.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-sub: 30.0ms (91.9% of total)

ival-exp: 2.0ms (6.1% of total)

ival-div: 1.0ms (3.1% of total)

const: 0.0ms (0% of total)

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

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

42×	`*-commutative_binary64`
24×	`+-commutative_binary64`
16×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	192
1	95	192
2	110	192
3	123	192
4	127	192
5	128	192

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 1461501637330903/365375409332725729550921208179070754913983135744 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64))) (/.f64 (/.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) x) x) x))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) x)
(if (<=.f64 x #s(literal 5674535530486825/4503599627370496 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64))) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (*.f64 x x)))) x))
(if (<=.f64 x #s(literal 13/2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64))))) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) x))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(if (<=.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x)))
(if (<=.f64 x #s(literal 6530219459687219/2251799813685248 binary64)) #s(literal 1 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))))
(if (<=.f64 x #s(literal 5/2 binary64)) #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
#s(literal 1 binary64)

Outputs
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))) #s(literal -1 binary64)) (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(if (<=.f64 x #s(literal 1461501637330903/365375409332725729550921208179070754913983135744 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64))) (/.f64 (/.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) x) x) x))
(if (<=.f64 x #s(literal 1461501637330903/365375409332725729550921208179070754913983135744 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) #s(literal -1 binary64))) (/.f64 (/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))) x) x))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))) x)
(if (<=.f64 x #s(literal 5674535530486825/4503599627370496 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) #s(literal 1 binary64))) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (*.f64 x x)))) x))
(if (<=.f64 x #s(literal 5674535530486825/4503599627370496 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) #s(literal -1 binary64))) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (*.f64 x x)))) x))
(if (<=.f64 x #s(literal 13/2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64))))) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (.f64 x x)))) x))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(if (<=.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (*.f64 x x)))
(if (<=.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(if (<=.f64 x #s(literal 6530219459687219/2251799813685248 binary64)) #s(literal 1 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x))))
(if (<=.f64 x #s(literal 5/2 binary64)) #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(if (<=.f64 x #s(literal 5/2 binary64)) #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(literal 1 binary64)

soundness2.2s (24.6%)

Rules

4846×	`-lowering-.f32`
4846×	`-lowering-.f64`
3756×	`-lowering-.f32`
3756×	`-lowering-.f64`
3742×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	4
1	14	4
2	18	4
3	24	4
4	35	4
5	49	4
6	86	4
7	160	4
8	285	4
9	512	4
10	925	4
11	1806	4
12	2152	4
13	2670	4
14	2695	4
15	2714	4
16	2722	4
0	2722	4
0	20	116
1	135	99
2	1218	88
0	8321	88
0	79	1080
1	284	928
2	890	878
3	2873	870
4	7478	870
0	8193	870
0	47	333
1	319	164
2	3178	161
0	8563	161
0	23	110
1	76	98
2	197	98
3	482	98
4	1007	98
5	1453	98
6	1654	98
7	1738	98
8	1856	98
9	2730	98
10	6192	98
11	7279	98
12	7606	98
13	7756	98
14	7869	98
0	9501	98
0	228	2181
1	771	2060
2	2459	2034
3	7424	2034
0	8063	2034

Stop Event

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

Compiler

Compiled 708 to 419 computations (40.8% saved)

preprocess76.0ms (0.9%)

Compiler: Compiled 446 to 156 computations (65% saved)

analyze1.0ms (0%)

sample1.1s (12.3%)

preprocess105.0ms (1.2%)

explain98.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify55.0ms (0.6%)

localize40.0ms (0.4%)

series2.0ms (0%)

rewrite324.0ms (3.6%)

simplify221.0ms (2.5%)

eval50.0ms (0.6%)

prune55.0ms (0.6%)

simplify183.0ms (2%)

localize109.0ms (1.2%)

series9.0ms (0.1%)

rewrite334.0ms (3.7%)

simplify195.0ms (2.2%)

eval143.0ms (1.6%)

prune131.0ms (1.5%)

simplify239.0ms (2.7%)

localize243.0ms (2.7%)

series16.0ms (0.2%)

rewrite565.0ms (6.3%)

simplify205.0ms (2.3%)

eval258.0ms (2.9%)

prune143.0ms (1.6%)

simplify227.0ms (2.5%)

localize209.0ms (2.3%)

series11.0ms (0.1%)

rewrite421.0ms (4.7%)

simplify301.0ms (3.4%)

eval187.0ms (2.1%)

prune181.0ms (2%)

regimes71.0ms (0.8%)

regimes28.0ms (0.3%)

regimes17.0ms (0.2%)

regimes11.0ms (0.1%)

regimes11.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

regimes2.0ms (0%)

bsearch3.0ms (0%)

bsearch15.0ms (0.2%)

bsearch15.0ms (0.2%)

bsearch34.0ms (0.4%)

bsearch14.0ms (0.2%)

bsearch42.0ms (0.5%)

simplify12.0ms (0.1%)

soundness2.2s (24.6%)

preprocess76.0ms (0.9%)

end0.0ms (0%)

Profiling