Metrics for ln(1 + x)

analyze3.0ms (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
0%	0%	100%	0%	0%	0%	0%	2
33.3%	25%	50%	0%	0%	25%	0%	3
66.7%	50%	25%	0%	0%	25%	0%	4
83.3%	62.5%	12.5%	0%	0%	25%	0%	5
91.7%	68.7%	6.2%	0%	0%	25%	0%	6
95.8%	71.8%	3.1%	0%	0%	25%	0%	7
97.9%	73.4%	1.6%	0%	0%	25%	0%	8
99%	74.2%	0.8%	0%	0%	25%	0%	9
99.5%	74.6%	0.4%	0%	0%	25%	0%	10
99.7%	74.8%	0.2%	0%	0%	25%	0%	11
99.9%	74.9%	0.1%	0%	0%	25%	0%	12

Compiler

Compiled 6 to 5 computations (16.7% saved)

Precisions

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

ival-log: 1.0ms (102.1% of total)

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

const: 0.0ms (0% of total)

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

sample1.8s (17.4%)

Results

978.0ms	4070×	1	valid
453.0ms	1276×	2	valid
167.0ms	2910×	0	valid
0.0ms	1×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-log: 923.0ms (77.8% of total)

ival-add: 152.0ms (12.8% of total)

backward-pass: 91.0ms (7.7% of total)

const: 20.0ms (1.7% of total)

Bogosity

preprocess16.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

52×	`sum3-define`
20×	`sub-neg`
16×	`fma-define`
16×	`fmsub-define`
14×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	20	9
2	28	9
3	38	9
4	57	9
5	77	9
6	98	9
7	118	9
8	120	9
0	4	2
1	8	2
0	8	2

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(log (+ 1 x))

Outputs
(log (+ 1 x))
(log1p.f64 x)

Call 2

Inputs
(log (+ 1 x))
(log (+ 1 (neg x)))
(neg (log (+ 1 (neg x))))

Outputs
(log (+ 1 x))
(log1p x)
(log (+ 1 (neg x)))
(log1p (neg x))
(neg (log (+ 1 (neg x))))
(neg (log1p (neg x)))

explain140.0ms (1.3%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
168	-	-	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
0	-	-	`x`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(+.f64 #s(literal 1 binary64) x)`

Results

56.0ms	254×	1	valid
43.0ms	76×	2	valid
16.0ms	182×	0	valid

Compiler

Compiled 27 to 14 computations (48.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-log: 53.0ms (72.4% of total)

backward-pass: 13.0ms (17.8% of total)

ival-add: 6.0ms (8.2% of total)

const: 1.0ms (1.4% of total)

eval0.0ms (0%)

Compiler: Compiled 3 to 2 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(log1p.f64 x)
▶	39.2%	(log.f64 (+.f64 #s(literal 1 binary64) x))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log1p.f64 x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) x)
✓	cost-diff	128	(log.f64 (+.f64 #s(literal 1 binary64) x))

Rules

4×	`+-lowering-+.f64`
4×	`+-lowering-+.f32`
2×	`log1p-lowering-log1p.f32`
2×	`log-lowering-log.f64`
2×	`log1p-lowering-log1p.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
1	8	10
0	8	10

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(log (+ 1 x))
(+ 1 x)
1
x
(log (+ 1 x))
x

Outputs
(log (+ 1 x))
(log1p.f64 x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(log (+ 1 x))
(log1p.f64 x)
x

localize342.0ms (3.2%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log1p.f64 x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	99.7%	(log.f64 (+.f64 #s(literal 1 binary64) x))

Results

322.0ms	165×	5	exit
9.0ms	91×	0	valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-log: 39.0ms (49.4% of total)

ival-add: 17.0ms (21.5% of total)

backward-pass: 16.0ms (20.3% of total)

compiled-spec: 6.0ms (7.6% of total)

const: 1.0ms (1.3% of total)

series4.0ms (0%)

Counts

3 → 36

Calls

Call 1

Inputs
#<alt (log (+ 1 x))>
#<alt (+ 1 x)>
#<alt (log (+ 1 x))>

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

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(log (+ 1 x))
0.0ms	x	@	inf	(log (+ 1 x))
0.0ms	x	@	-inf	(log (+ 1 x))
0.0ms	x	@	inf	(+ 1 x)
0.0ms	x	@	-inf	(+ 1 x)

rewrite321.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

3862×	`/-lowering-/.f32`
3862×	`/-lowering-/.f64`
3086×	`-lowering-.f32`
3086×	`-lowering-.f64`
1778×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	21	7
2	141	7
3	1093	7
0	8377	7

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 311

Calls

Call 1

Inputs
(log (+ 1 x))
(+ 1 x)
(log (+ 1 x))

Outputs
(log.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 (log1p.f64 x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log1p.f64 x))
(+.f64 (log1p.f64 (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x x))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (.f64 x (+.f64 x #s(literal -1 binary64))))) (log1p.f64 (.f64 x (*.f64 x x))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (log1p.f64 x))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (.f64 x (+.f64 x #s(literal -1 binary64)))))))) (log1p.f64 (.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (-.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) (.f64 x (+.f64 x #s(literal -1 binary64))))))) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64))))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (log1p.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(-.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (log1p.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (*.f64 x x)) #s(literal 1 binary64)))))))
(-.f64 (log1p.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(-.f64 (log1p.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x x))))) (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) (log.f64 (+.f64 x #s(literal -1 binary64))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (log.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x)))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 1 binary64))) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1 binary64))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1 binary64))) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64))) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x x)))))) (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (log.f64 (neg.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (log.f64 (neg.f64 (+.f64 x #s(literal -1 binary64)))))
(-.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))) (log.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (log.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x))))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64))) (log1p.f64 (.f64 x (+.f64 x #s(literal -1 binary64)))))
(-.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64))))))) (log1p.f64 (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (*.f64 x x)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64))))))) (log1p.f64 (.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) x)))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) (log1p.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) (log1p.f64 (*.f64 x x)))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (.f64 x (.f64 x x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 x (.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (.f64 x (+.f64 x #s(literal -1 binary64)))))))) (/.f64 (pow.f64 (log1p.f64 (.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 x (.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))))))))
(-.f64 (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (log.f64 (-.f64 #s(literal 1 binary64) x)))))) (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (.f64 x (.f64 x x))) #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64))))))) (/.f64 (pow.f64 (log1p.f64 (.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))))
(-.f64 (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 2 binary64)) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)))))
(neg.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
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(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (log.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (.f64 x (.f64 x x))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64))) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (.f64 x (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (.f64 x (.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (.f64 x (+.f64 x #s(literal -1 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (log.f64 (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (.f64 x (.f64 x x))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (.f64 x (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (.f64 x (+.f64 x #s(literal -1 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (.f64 x (.f64 x x))) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (.f64 x (+.f64 x #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) (log1p.f64 (.f64 x (+.f64 x #s(literal -1 binary64)))))) (.f64 (log1p.f64 (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) (log1p.f64 (.f64 x (+.f64 x #s(literal -1 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 2 binary64)) (-.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) (.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (-.f64 #s(literal 0 binary64) (log1p.f64 x))) (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x x))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))))) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x x))))) (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x x)))))) (+.f64 (.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))))) (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64))))))) (.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x x))))) (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))))) (+.f64 (.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))) (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)))) (.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (.f64 x x) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 (+.f64 (.f64 x x) #s(literal -1 binary64))) (log.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)))) (+.f64 (.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) (log.f64 (+.f64 x #s(literal -1 binary64)))) (.f64 (log.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) (log.f64 (+.f64 x #s(literal -1 binary64)))))))
(log1p.f64 x)
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(.f64 (-.f64 (pow.f64 (log1p.f64 (.f64 x (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (.f64 x (.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (log1p.f64 (.f64 x (.f64 x x))) (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))))))))
(.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (-.f64 #s(literal 1 binary64) x)))))))
(.f64 (-.f64 (pow.f64 (log1p.f64 (.f64 x (.f64 x x))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64))))))))
(.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) x)))))

simplify214.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1994×	`fma-lowering-fma.f32`
1994×	`fma-lowering-fma.f64`
1970×	`fmsub-define`
1908×	`sum3-define`
1776×	`fmm-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	296
1	188	252
2	458	240
3	1230	236
4	3932	236
0	8232	236

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

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

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

eval186.0ms (1.8%)

Compiler: Compiled 10185 to 919 computations (91% saved)

prune53.0ms (0.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	343	4	347
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	343	6	349

Accuracy

100.0%

Counts

349 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))))))
▶	67.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
▶	65.8%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))
✓	100.0%	(log1p.f64 x)
✓	39.2%	(log.f64 (+.f64 #s(literal 1 binary64) x))
▶	66.9%	x

Compiler

Compiled 46 to 34 computations (26.1% saved)

simplify48.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))
✓	cost-diff	(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))
✓	cost-diff	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))))))
✓	cost-diff	(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))
✓	cost-diff	(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))
✓	cost-diff	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
✓	cost-diff	(*.f64 x #s(literal -1/2 binary64))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
✓	cost-diff	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))

Rules

1430×	`fma-define`
1068×	`fma-lowering-fma.f32`
1068×	`fma-lowering-fma.f64`
336×	`-lowering-.f32`
336×	`-lowering-.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	126
1	66	106
2	184	103
3	457	103
4	967	103
5	1391	103
6	1552	103
7	1554	103
0	1554	103

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize110.0ms (1%)

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))))))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))
✓	accuracy	99.6%	(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))
✓	accuracy	100.0%	(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/3 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal -1/2 binary64))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))

Results

81.0ms

256×

valid

Compiler

Compiled 128 to 21 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 15.0ms (48.5% of total)

ival-add: 10.0ms (32.4% of total)

...c/correct-round.rkt:119:19: 5.0ms (16.2% of total)

const: 1.0ms (3.2% of total)

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

series13.0ms (0.1%)

Counts

14 → 168

Calls

Call 1

Inputs
#<alt (* x (+ 1 (* x -1/2)))>
#<alt (+ 1 (* x -1/2))>
#<alt (* x -1/2)>
#<alt (* x (+ 1 (* x (+ -1/2 (* x 1/3)))))>
#<alt (+ 1 (* x (+ -1/2 (* x 1/3))))>
#<alt (* x (+ -1/2 (* x 1/3)))>
#<alt (+ -1/2 (* x 1/3))>
#<alt (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))))>
#<alt (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))>
#<alt (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))>
#<alt (+ -1/2 (* x (+ 1/3 (* x -1/4))))>
#<alt (* x 1/3)>
#<alt (* x (+ 1/3 (* x -1/4)))>
#<alt (+ 1/3 (* x -1/4))>

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

Calls

42 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(* x -1/2)
1.0ms	x	@	inf	(* x 1/3)
1.0ms	x	@	0	(* x (+ 1 (* x (+ -1/2 (* x 1/3)))))
0.0ms	x	@	0	(* x (+ 1 (* x -1/2)))
0.0ms	x	@	inf	(* x (+ 1 (* x -1/2)))

rewrite365.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3810×	`-lowering-.f32`
3810×	`-lowering-.f64`
3484×	`/-lowering-/.f32`
3484×	`/-lowering-/.f64`
1980×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	110
1	137	90
2	1288	87
0	8126	87

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 510

Calls

Call 1

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

Outputs
(+.f64 x (.f64 x (.f64 x #s(literal -1/2 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 x (.f64 x #s(literal -1/2 binary64))))) (/.f64 (.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x #s(literal -1/2 binary64)))) (-.f64 x (.f64 x (.f64 x #s(literal -1/2 binary64))))))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(fma.f64 #s(literal 1 binary64) x (.f64 x (.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x)
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) x x)
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x #s(literal -1/2 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/2 binary64)))))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 x (.f64 x #s(literal -1/2 binary64)))) (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x #s(literal -1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 binary64) (.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x x)))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))) x)))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x #s(literal -1/2 binary64)))) (.f64 x (.f64 x (*.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x #s(literal -1/2 binary64))))) (-.f64 x (.f64 x (.f64 x #s(literal -1/2 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))))) (+.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 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))) x) (+.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 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))) x) (-.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x #s(literal -1/2 binary64)))) (.f64 x (.f64 x (*.f64 x #s(literal -1/2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x #s(literal -1/2 binary64)))))) (neg.f64 (-.f64 x (.f64 x (.f64 x #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))))) (-.f64 #s(literal 0 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))))))
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(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64))) x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x #s(literal -1/4 binary64)) (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x))) x)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))
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(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))
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(.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (.f64 x (.f64 x #s(literal -1/4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 x (*.f64 x #s(literal -1/4 binary64))))))
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(.f64 (.f64 x (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
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(.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x))) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
(+.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))) (neg.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) (-.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) (-.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal -1/12 binary64) x))) (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) (+.f64 (.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal -1/9 binary64))))
(/.f64 (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x #s(literal -1/4 binary64)) (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))
(/.f64 (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal -1/12 binary64) x))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x))) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x #s(literal -1/4 binary64)) (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64)))) (neg.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal -1/12 binary64) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) #s(literal -1/9 binary64)) (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))) (.f64 (-.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))) (.f64 #s(literal 1/16 binary64) (.f64 x x)))) (.f64 (-.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1/19683 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/729 binary64) (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64))) (.f64 #s(literal -1/1728 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x #s(literal -1/4 binary64)) (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64)))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x #s(literal -1/4 binary64)) (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/81 binary64) (+.f64 (.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) (.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x))))) (-.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) (.f64 #s(literal 1/16 binary64) (.f64 x x)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x))) (-.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x #s(literal -1/4 binary64)) (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) #s(literal -1/9 binary64))) (neg.f64 (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) (-.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (+.f64 (.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) (-.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) (-.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))
(.f64 (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x #s(literal -1/4 binary64)) (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))
(.f64 (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/12 binary64) x)))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x #s(literal -1/4 binary64)) (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/16 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))))
(.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))

simplify253.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

2658×	`-lowering-.f32`
2658×	`-lowering-.f64`
1632×	`+-lowering-+.f64`
1632×	`+-lowering-+.f32`
1110×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	107	1108
1	322	992
2	1068	913
3	3973	879
0	8307	879

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

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

eval143.0ms (1.4%)

Compiler: Compiled 19647 to 2186 computations (88.9% saved)

prune77.0ms (0.7%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	673	5	678
Fresh	0	0	0
Picked	2	2	4
Done	0	2	2
Total	675	9	684

Accuracy

100.0%

Counts

684 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.0%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))))
▶	67.0%	(+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))) x)
▶	65.8%	(+.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) x)
▶	65.7%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 x x))))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) #s(literal -1 binary64))))))
▶	65.3%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) (.f64 x #s(literal 1/4 binary64))))))
✓	65.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))))))
✓	100.0%	(log1p.f64 x)
✓	39.2%	(log.f64 (+.f64 #s(literal 1 binary64) x))
✓	66.9%	x

Compiler

Compiled 262 to 129 computations (50.8% saved)

simplify210.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (*.f64 x x))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)))))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 x x))))) x)
✓	cost-diff	128	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 x x))))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) #s(literal -1 binary64))))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))))
✓	cost-diff	128	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) (.f64 x #s(literal 1/4 binary64))))))
✓	cost-diff	0	(*.f64 x #s(literal -1/2 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal -1/2 binary64)))
✓	cost-diff	0	(+.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) x)
✓	cost-diff	0	(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))
✓	cost-diff	0	(.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))
✓	cost-diff	0	(+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))) x)

Rules

2346×	`+-lowering-+.f64`
2346×	`+-lowering-+.f32`
2242×	`-lowering-.f32`
2242×	`-lowering-.f64`
1904×	`fnmadd-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	39	483
1	125	362
2	432	325
3	2293	325
4	5458	322
0	8179	322

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize233.0ms (2.2%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 x x))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) #s(literal -1 binary64)))))
✓	accuracy	99.6%	(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))
✓	accuracy	70.4%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 x x))))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) #s(literal -1 binary64))))))
✓	accuracy	99.9%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/3 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/4 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) (.f64 x #s(literal 1/4 binary64))))))
✓	accuracy	99.8%	(.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64))))
✓	accuracy	100.0%	(.f64 x (.f64 x #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal -1/2 binary64))
✓	accuracy	100.0%	(+.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) x)
✓	accuracy	100.0%	(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))
✓	accuracy	99.9%	(.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/3 binary64))

Results

147.0ms

256×

valid

Compiler

Compiled 511 to 40 computations (92.2% saved)

Precisions

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

ival-mult: 31.0ms (51.9% of total)

ival-add: 16.0ms (26.8% of total)

ival-div: 5.0ms (8.4% of total)

...c/correct-round.rkt:119:19: 5.0ms (8.4% of total)

ival-sub: 1.0ms (1.7% of total)

const: 1.0ms (1.7% of total)

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

series16.0ms (0.1%)

Counts

24 → 288

Calls

Call 1

Inputs
#<alt (+ (* x (* x (+ -1/2 (* x 1/3)))) x)>
#<alt (* x (* x (+ -1/2 (* x 1/3))))>
#<alt (* x (+ -1/2 (* x 1/3)))>
#<alt (+ -1/2 (* x 1/3))>
#<alt (+ (* x (* x -1/2)) x)>
#<alt (* x (* x -1/2))>
#<alt (* x -1/2)>
#<alt (* x (+ 1 (* (* x x) (- 1/3 (* x 1/4)))))>
#<alt (+ 1 (* (* x x) (- 1/3 (* x 1/4))))>
#<alt (* (* x x) (- 1/3 (* x 1/4)))>
#<alt (* x x)>
#<alt (/ x (/ 1 (+ 1 (* x (+ -1/2 (* x 1/3))))))>
#<alt (/ 1 (+ 1 (* x (+ -1/2 (* x 1/3)))))>
#<alt (+ 1 (* x (+ -1/2 (* x 1/3))))>
#<alt (* (* (+ 1 (* (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x))))) x) (/ 1 (+ 1 (* (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) (+ (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) -1)))))>
#<alt (* (+ 1 (* (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x))))) x)>
#<alt (+ 1 (* (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)))))>
#<alt (* (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x))))>
#<alt (* x 1/3)>
#<alt (- 1/3 (* x 1/4))>
#<alt (* x 1/4)>
#<alt (* x (+ 1/3 (* x -1/4)))>
#<alt (/ 1 (+ 1 (* (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) (+ (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) -1))))>
#<alt (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x))>

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 x) 1/2))>
#<alt (* (pow x 2) (- (* 1/3 x) 1/2))>
#<alt (* (pow x 2) (- (* 1/3 x) 1/2))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1/2 x)>
#<alt (* x (- (* 1/3 x) 1/2))>
#<alt (* x (- (* 1/3 x) 1/2))>
#<alt (* x (- (* 1/3 x) 1/2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt -1/2>
#<alt (- (* 1/3 x) 1/2)>
#<alt (- (* 1/3 x) 1/2)>
#<alt (- (* 1/3 x) 1/2)>
#<alt (* 1/3 x)>
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* 1/3 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<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 x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* -1/4 x)))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* -1/4 x)))))>
#<alt (* -1/4 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) 1/4))>
#<alt (* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) 1/4))>
#<alt (* -1/4 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) 1/4))>
#<alt (* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) 1/4))>
#<alt 1>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* -1/4 x))))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* -1/4 x))))>
#<alt (* -1/4 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 3) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) 1/4))>
#<alt (* (pow x 3) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) 1/4))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) x)))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* -1/4 x)))>
#<alt (* (pow x 2) (+ 1/3 (* -1/4 x)))>
#<alt (* (pow x 2) (+ 1/3 (* -1/4 x)))>
#<alt (* -1/4 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* -1/12 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (- (* -5/24 x) 1/12)))))>
#<alt (/ 3 (pow x 2))>
#<alt (/ (+ 3 (* 9/2 (/ 1 x))) (pow x 2))>
#<alt (/ (- (+ 3 (* 9/2 (/ 1 x))) (/ 9/4 (pow x 2))) (pow x 2))>
#<alt (/ (+ 3 (+ (* -1 (/ (+ 9/4 (* 135/8 (/ 1 x))) (pow x 2))) (* 9/2 (/ 1 x)))) (pow x 2))>
#<alt (/ 3 (pow x 2))>
#<alt (/ (+ 3 (* 9/2 (/ 1 x))) (pow x 2))>
#<alt (/ (+ 3 (* -1 (/ (- (* 9/4 (/ 1 x)) 9/2) x))) (pow x 2))>
#<alt (/ (+ 3 (* -1 (/ (- (+ (* 9/4 (/ 1 x)) (/ 135/8 (pow x 2))) 9/2) x))) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* 1/3 x) 1/2)))>
#<alt (+ 1 (* x (- (* 1/3 x) 1/2)))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))))>
#<alt (* (pow x 2) (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1/4 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* -1/4 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))>
#<alt x>
#<alt (* x (+ 1 (* -1/8 (pow x 3))))>
#<alt (* x (+ 1 (* (pow x 3) (- (* 1/4 x) 1/8))))>
#<alt (* x (+ 1 (* (pow x 3) (- (* x (+ 1/4 (* -17/48 x))) 1/8))))>
#<alt (* -1/64 (pow x 10))>
#<alt (* (pow x 10) (- (* 1/16 (/ 1 x)) 1/64))>
#<alt (* (pow x 10) (- (* 1/16 (/ 1 x)) (+ 1/64 (/ 17/96 (pow x 2)))))>
#<alt (* (pow x 10) (- (+ (* 1/16 (/ 1 x)) (* 31/108 (/ 1 (pow x 3)))) (+ 1/64 (/ 17/96 (pow x 2)))))>
#<alt (* -1/64 (pow x 10))>
#<alt (* (pow x 10) (- (* 1/16 (/ 1 x)) 1/64))>
#<alt (* (pow x 10) (- (* -1 (/ (- (* 17/96 (/ 1 x)) 1/16) x)) 1/64))>
#<alt (* (pow x 10) (- (* -1 (/ (- (* -1 (/ (- (* 31/108 (/ 1 x)) 17/96) x)) 1/16) x)) 1/64))>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow x 3)))>
#<alt (+ 1 (* (pow x 3) (- (* 1/4 x) 1/8)))>
#<alt (+ 1 (* (pow x 3) (- (* x (+ 1/4 (* -17/48 x))) 1/8)))>
#<alt (* -1/64 (pow x 9))>
#<alt (* (pow x 9) (- (* 1/16 (/ 1 x)) 1/64))>
#<alt (* (pow x 9) (- (* 1/16 (/ 1 x)) (+ 1/64 (/ 17/96 (pow x 2)))))>
#<alt (* (pow x 9) (- (+ (* 1/16 (/ 1 x)) (* 31/108 (/ 1 (pow x 3)))) (+ 1/64 (/ 17/96 (pow x 2)))))>
#<alt (* -1/64 (pow x 9))>
#<alt (* -1 (* (pow x 9) (- 1/64 (* 1/16 (/ 1 x)))))>
#<alt (* -1 (* (pow x 9) (+ 1/64 (* -1 (/ (- 1/16 (* 17/96 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 9) (+ 1/64 (* -1 (/ (+ 1/16 (* -1 (/ (- 17/96 (* 31/108 (/ 1 x))) x))) x)))))>
#<alt (* -1/8 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/4 x) 1/8))>
#<alt (* (pow x 3) (- (* x (+ 1/4 (* -17/48 x))) 1/8))>
#<alt (* (pow x 3) (- (* x (+ 1/4 (* x (- (* 31/108 x) 17/48)))) 1/8))>
#<alt (* -1/64 (pow x 9))>
#<alt (* (pow x 9) (- (* 1/16 (/ 1 x)) 1/64))>
#<alt (* (pow x 9) (- (* 1/16 (/ 1 x)) (+ 1/64 (/ 17/96 (pow x 2)))))>
#<alt (* (pow x 9) (- (+ (* 1/16 (/ 1 x)) (* 31/108 (/ 1 (pow x 3)))) (+ 1/64 (/ 17/96 (pow x 2)))))>
#<alt (* -1/64 (pow x 9))>
#<alt (* -1 (* (pow x 9) (- 1/64 (* 1/16 (/ 1 x)))))>
#<alt (* -1 (* (pow x 9) (+ 1/64 (* -1 (/ (- 1/16 (* 17/96 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 9) (+ 1/64 (* -1 (/ (+ 1/16 (* -1 (/ (- 17/96 (* 31/108 (/ 1 x))) x))) x)))))>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt 1/3>
#<alt (+ 1/3 (* -1/4 x))>
#<alt (+ 1/3 (* -1/4 x))>
#<alt (+ 1/3 (* -1/4 x))>
#<alt (* -1/4 x)>
#<alt (* x (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* x (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* x (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* -1/4 x)>
#<alt (* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* -1/4 x)))>
#<alt (* x (+ 1/3 (* -1/4 x)))>
#<alt (* x (+ 1/3 (* -1/4 x)))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* 1/3 x) 1/2)))>
#<alt (+ 1 (* x (- (* x (+ 1/3 (* -1/8 x))) 1/2)))>
#<alt (/ 16 (pow x 6))>
#<alt (/ (+ 16 (* 128/3 (/ 1 x))) (pow x 6))>
#<alt (/ (+ 16 (+ (* 128/3 (/ 1 x)) (/ 64/3 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 16 (+ (* 128/3 (/ 1 x)) (/ 64/3 (pow x 2)))) (* 4544/27 (/ 1 (pow x 3)))) (pow x 6))>
#<alt (/ 16 (pow x 6))>
#<alt (/ (+ 16 (* 128/3 (/ 1 x))) (pow x 6))>
#<alt (/ (+ 16 (+ (* 128/3 (/ 1 x)) (/ 64/3 (pow x 2)))) (pow x 6))>
#<alt (/ (+ 16 (* -1 (/ (- (* -1 (/ (- 64/3 (* 4544/27 (/ 1 x))) x)) 128/3) x))) (pow x 6))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 x) 1/2))>
#<alt (* (pow x 2) (- (* x (+ 1/3 (* -1/4 x))) 1/2))>
#<alt (* (pow x 2) (- (* x (+ 1/3 (* -1/4 x))) 1/2))>
#<alt (* -1/4 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* -1/4 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))>

Calls

72 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(+ (* x (* x (+ -1/2 (* x 1/3)))) x)
0.0ms	x	@	inf	(* (* (+ 1 (* (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x))))) x) (/ 1 (+ 1 (* (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) (+ (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) -1)))))
0.0ms	x	@	-inf	(* (* (+ 1 (* (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x))))) x) (/ 1 (+ 1 (* (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) (+ (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) -1)))))
0.0ms	x	@	inf	(* x (+ 1 (* (* x x) (- 1/3 (* x 1/4)))))
0.0ms	x	@	0	(* x (+ 1 (* (* x x) (- 1/3 (* x 1/4)))))

rewrite630.0ms (5.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3956×	`-lowering-.f32`
3956×	`-lowering-.f64`
3160×	`/-lowering-/.f32`
3160×	`/-lowering-/.f64`
2230×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	334
1	268	211
2	2573	208
0	10185	208

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 748

Calls

Call 1

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

Outputs
(+.f64 x (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (*.f64 x x)))
(+.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (*.f64 x x)) x)
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x))) (-.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x)) x)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x))) (-.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x)) x)) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x)) x)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64)))) (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x)))) (/.f64 (.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x))) (-.f64 x (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x)))))
(fma.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))) x)
(fma.f64 x #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (*.f64 x x)))
(fma.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x) x)
(fma.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))) x x)
(fma.f64 #s(literal 1 binary64) x (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (*.f64 x x)))
(fma.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) x)
(neg.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64)))))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64))))
(/.f64 (.f64 x (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x))) (.f64 x (-.f64 x (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x))))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x)) (.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x)) x) (.f64 (.f64 x (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64))) (-.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x))) (.f64 x (-.f64 x (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x))))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x)) (.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x)) x) (.f64 (.f64 x (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64))) (-.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x)) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x)) (.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x))))) (+.f64 (.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x))) (.f64 x (-.f64 x (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x))))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x)) (.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x))))) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x))) (.f64 x (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (*.f64 x x))))))
(/.f64 (.f64 (.f64 x (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64))) (-.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x)) x)) (-.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x)) x))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))) (.f64 x (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))) (-.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))) (.f64 x (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))))))) (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))) (-.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64))))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))))) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x)) (.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x)))))) (neg.f64 (+.f64 (.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x))) (.f64 x (-.f64 x (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x)))))))
(/.f64 (neg.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x)) (.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x)))))) (neg.f64 (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x))) (.f64 x (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (*.f64 x x)))))))
(/.f64 (neg.f64 (.f64 (.f64 x (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64))) (-.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x)) x))) (neg.f64 (-.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x)) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x)) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (.f64 x x)))) (-.f64 x (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64))) (*.f64 x x))))
(/.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x #s(literal 1/3 binary64)) (-.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))) (.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)))))) (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x #s(literal 1/3 binary64)) (-.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/3 binary64) x))) (.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/9 binary64)))))) (.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/3 binary64) x))))
(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x #s(literal 1/3 binary64)) (-.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)))))) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x #s(literal 1/3 binary64)) (-.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/3 binary64) x))) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/9 binary64)))))) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/3 binary64) x))))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x #s(literal 1/3 binary64)) (-.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))) (.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)))))) (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x #s(literal 1/3 binary64)) (-.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))))
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(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))) (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) #s(literal -1/2 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))))) (-.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))))) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))) (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) #s(literal -1/2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))))) (.f64 x x)) (-.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))) (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))))))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))))) (.f64 x x))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))) (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))))) (.f64 x x))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))))))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))))) (.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))))))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))))) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) (.f64 x (.f64 x #s(literal -1/2 binary64)))))))
(.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))))
(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) x)

simplify247.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

4232×	`-lowering-.f32`
4232×	`-lowering-.f64`
2060×	`fma-lowering-fma.f32`
2060×	`fma-lowering-fma.f64`
1816×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	266	2249
1	806	2027
2	2316	1990
3	7049	1986
0	8247	1986

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1/2 x)
(* x (- (* 1/3 x) 1/2))
(* x (- (* 1/3 x) 1/2))
(* x (- (* 1/3 x) 1/2))
(* 1/3 (pow x 2))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* 1/3 (pow x 2))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
-1/2
(- (* 1/3 x) 1/2)
(- (* 1/3 x) 1/2)
(- (* 1/3 x) 1/2)
(* 1/3 x)
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(* 1/3 x)
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* -1/2 x)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -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)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* -1/4 x)))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* -1/4 x)))))
(* -1/4 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) 1/4))
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) 1/4))
(* -1/4 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) 1/4))
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) 1/4))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* -1/4 x))))
(+ 1 (* (pow x 2) (+ 1/3 (* -1/4 x))))
(* -1/4 (pow x 3))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 3) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) 1/4))
(* (pow x 3) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) 1/4))
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) x)))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) x)))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* -1/4 x)))
(* (pow x 2) (+ 1/3 (* -1/4 x)))
(* (pow x 2) (+ 1/3 (* -1/4 x)))
(* -1/4 (pow x 3))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/12 x))))
(+ 1 (* x (+ 1/2 (* x (- (* -5/24 x) 1/12)))))
(/ 3 (pow x 2))
(/ (+ 3 (* 9/2 (/ 1 x))) (pow x 2))
(/ (- (+ 3 (* 9/2 (/ 1 x))) (/ 9/4 (pow x 2))) (pow x 2))
(/ (+ 3 (+ (* -1 (/ (+ 9/4 (* 135/8 (/ 1 x))) (pow x 2))) (* 9/2 (/ 1 x)))) (pow x 2))
(/ 3 (pow x 2))
(/ (+ 3 (* 9/2 (/ 1 x))) (pow x 2))
(/ (+ 3 (* -1 (/ (- (* 9/4 (/ 1 x)) 9/2) x))) (pow x 2))
(/ (+ 3 (* -1 (/ (- (+ (* 9/4 (/ 1 x)) (/ 135/8 (pow x 2))) 9/2) x))) (pow x 2))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/3 x) 1/2)))
(+ 1 (* x (- (* 1/3 x) 1/2)))
(* 1/3 (pow x 2))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/3 (pow x 2))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))))
(* (pow x 2) (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1/4 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))
(* -1/4 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))
x
(* x (+ 1 (* -1/8 (pow x 3))))
(* x (+ 1 (* (pow x 3) (- (* 1/4 x) 1/8))))
(* x (+ 1 (* (pow x 3) (- (* x (+ 1/4 (* -17/48 x))) 1/8))))
(* -1/64 (pow x 10))
(* (pow x 10) (- (* 1/16 (/ 1 x)) 1/64))
(* (pow x 10) (- (* 1/16 (/ 1 x)) (+ 1/64 (/ 17/96 (pow x 2)))))
(* (pow x 10) (- (+ (* 1/16 (/ 1 x)) (* 31/108 (/ 1 (pow x 3)))) (+ 1/64 (/ 17/96 (pow x 2)))))
(* -1/64 (pow x 10))
(* (pow x 10) (- (* 1/16 (/ 1 x)) 1/64))
(* (pow x 10) (- (* -1 (/ (- (* 17/96 (/ 1 x)) 1/16) x)) 1/64))
(* (pow x 10) (- (* -1 (/ (- (* -1 (/ (- (* 31/108 (/ 1 x)) 17/96) x)) 1/16) x)) 1/64))
1
(+ 1 (* -1/8 (pow x 3)))
(+ 1 (* (pow x 3) (- (* 1/4 x) 1/8)))
(+ 1 (* (pow x 3) (- (* x (+ 1/4 (* -17/48 x))) 1/8)))
(* -1/64 (pow x 9))
(* (pow x 9) (- (* 1/16 (/ 1 x)) 1/64))
(* (pow x 9) (- (* 1/16 (/ 1 x)) (+ 1/64 (/ 17/96 (pow x 2)))))
(* (pow x 9) (- (+ (* 1/16 (/ 1 x)) (* 31/108 (/ 1 (pow x 3)))) (+ 1/64 (/ 17/96 (pow x 2)))))
(* -1/64 (pow x 9))
(* -1 (* (pow x 9) (- 1/64 (* 1/16 (/ 1 x)))))
(* -1 (* (pow x 9) (+ 1/64 (* -1 (/ (- 1/16 (* 17/96 (/ 1 x))) x)))))
(* -1 (* (pow x 9) (+ 1/64 (* -1 (/ (+ 1/16 (* -1 (/ (- 17/96 (* 31/108 (/ 1 x))) x))) x)))))
(* -1/8 (pow x 3))
(* (pow x 3) (- (* 1/4 x) 1/8))
(* (pow x 3) (- (* x (+ 1/4 (* -17/48 x))) 1/8))
(* (pow x 3) (- (* x (+ 1/4 (* x (- (* 31/108 x) 17/48)))) 1/8))
(* -1/64 (pow x 9))
(* (pow x 9) (- (* 1/16 (/ 1 x)) 1/64))
(* (pow x 9) (- (* 1/16 (/ 1 x)) (+ 1/64 (/ 17/96 (pow x 2)))))
(* (pow x 9) (- (+ (* 1/16 (/ 1 x)) (* 31/108 (/ 1 (pow x 3)))) (+ 1/64 (/ 17/96 (pow x 2)))))
(* -1/64 (pow x 9))
(* -1 (* (pow x 9) (- 1/64 (* 1/16 (/ 1 x)))))
(* -1 (* (pow x 9) (+ 1/64 (* -1 (/ (- 1/16 (* 17/96 (/ 1 x))) x)))))
(* -1 (* (pow x 9) (+ 1/64 (* -1 (/ (+ 1/16 (* -1 (/ (- 17/96 (* 31/108 (/ 1 x))) x))) x)))))
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
1/3
(+ 1/3 (* -1/4 x))
(+ 1/3 (* -1/4 x))
(+ 1/3 (* -1/4 x))
(* -1/4 x)
(* x (- (* 1/3 (/ 1 x)) 1/4))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(* -1/4 x)
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/3 x)
(* x (+ 1/3 (* -1/4 x)))
(* x (+ 1/3 (* -1/4 x)))
(* x (+ 1/3 (* -1/4 x)))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/3 x) 1/2)))
(+ 1 (* x (- (* x (+ 1/3 (* -1/8 x))) 1/2)))
(/ 16 (pow x 6))
(/ (+ 16 (* 128/3 (/ 1 x))) (pow x 6))
(/ (+ 16 (+ (* 128/3 (/ 1 x)) (/ 64/3 (pow x 2)))) (pow x 6))
(/ (- (+ 16 (+ (* 128/3 (/ 1 x)) (/ 64/3 (pow x 2)))) (* 4544/27 (/ 1 (pow x 3)))) (pow x 6))
(/ 16 (pow x 6))
(/ (+ 16 (* 128/3 (/ 1 x))) (pow x 6))
(/ (+ 16 (+ (* 128/3 (/ 1 x)) (/ 64/3 (pow x 2)))) (pow x 6))
(/ (+ 16 (* -1 (/ (- (* -1 (/ (- 64/3 (* 4544/27 (/ 1 x))) x)) 128/3) x))) (pow x 6))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* (pow x 2) (- (* x (+ 1/3 (* -1/4 x))) 1/2))
(* (pow x 2) (- (* x (+ 1/3 (* -1/4 x))) 1/2))
(* -1/4 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* -1/4 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))

Outputs
x
(* x (+ 1 (* -1/2 x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(.f64 (.f64 x (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
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x
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(* (pow x 3) (- (* 1/4 x) 1/8))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/4 binary64))))
(* (pow x 3) (- (* x (+ 1/4 (* -17/48 x))) 1/8))
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(* -1/64 (pow x 9))
(*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 9 binary64)))
(* (pow x 9) (- (* 1/16 (/ 1 x)) 1/64))
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(* (pow x 9) (- (* 1/16 (/ 1 x)) (+ 1/64 (/ 17/96 (pow x 2)))))
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(* (pow x 9) (- (+ (* 1/16 (/ 1 x)) (* 31/108 (/ 1 (pow x 3)))) (+ 1/64 (/ 17/96 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 31/108 binary64) x) #s(literal -17/96 binary64)) (.f64 x x)) #s(literal -1/64 binary64))) (pow.f64 x #s(literal 9 binary64)))
(* -1/64 (pow x 9))
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(* -1 (* (pow x 9) (+ 1/64 (* -1 (/ (+ 1/16 (* -1 (/ (- 17/96 (* 31/108 (/ 1 x))) x))) x)))))
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(* 1/3 x)
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(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
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(* 1/3 x)
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(* 1/3 x)
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(* 1/3 x)
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(* 1/3 x)
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(* 1/3 x)
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(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
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(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
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1/3
#s(literal 1/3 binary64)
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(*.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
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(* 1/4 x)
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(* 1/4 x)
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(* 1/3 x)
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(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
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(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
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1
#s(literal 1 binary64)
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(/ 16 (pow x 6))
(/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ (+ 16 (* 128/3 (/ 1 x))) (pow x 6))
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(/.f64 (+.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 128/3 binary64) x)) (/.f64 (-.f64 #s(literal 64/3 binary64) (/.f64 #s(literal 4544/27 binary64) x)) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
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(/.f64 (-.f64 #s(literal 16 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4544/27 binary64) x) #s(literal -64/3 binary64)) x) #s(literal -128/3 binary64)) x)) (pow.f64 x #s(literal 6 binary64)))
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(* (pow x 2) (- (* 1/3 x) 1/2))
(.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))
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(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))))
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(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))))
(* -1/4 (pow x 4))
(.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal -1/4 binary64)))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* -1/4 (pow x 4))
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(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))

eval180.0ms (1.7%)

Compiler: Compiled 59096 to 3660 computations (93.8% saved)

prune120.0ms (1.1%)

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	1298	6	1304
Fresh	0	0	0
Picked	2	3	5
Done	0	4	4
Total	1300	13	1313

Accuracy

100.0%

Counts

1313 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.5%	(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64))))))
▶	70.4%	(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
✓	67.0%	(+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))) x)
✓	65.8%	(+.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) x)
	66.0%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 x x))))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) #s(literal -1 binary64))))))
▶	66.8%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 x x))))) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/8 binary64))))))))
▶	66.3%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/4 binary64))))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) #s(literal -1 binary64))))))
▶	12.6%	(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)))
✓	65.3%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) (.f64 x #s(literal 1/4 binary64))))))
✓	65.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))))))
✓	100.0%	(log1p.f64 x)
✓	39.2%	(log.f64 (+.f64 #s(literal 1 binary64) x))
✓	66.9%	x

Compiler

Compiled 476 to 248 computations (47.9% saved)

simplify243.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (*.f64 x x))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)))))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 x x))))) x)
✓	cost-diff	0	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 x x))))) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/8 binary64))))))))
✓	cost-diff	0	(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/4 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/4 binary64)))))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/4 binary64))))) x)
✓	cost-diff	128	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/4 binary64))))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) #s(literal -1 binary64))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 x x)))
✓	cost-diff	512	(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64)))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64)))))
✓	cost-diff	0	(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64))))))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	0	(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))

Rules

5030×	`+-lowering-+.f64`
5030×	`+-lowering-+.f32`
3408×	`-lowering-.f32`
3408×	`-lowering-.f64`
1402×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	55	620
1	174	480
2	712	436
3	3349	436
0	9186	436

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ x (+ 1 (* x 1/2)))
x
(+ 1 (* x 1/2))
1
(* x 1/2)
1/2
(/ x (+ 1 (* x (+ 1/2 (* x -1/12)))))
x
(+ 1 (* x (+ 1/2 (* x -1/12))))
1
(* x (+ 1/2 (* x -1/12)))
(+ 1/2 (* x -1/12))
1/2
(* x -1/12)
-1/12
(* (* x (* x (* x x))) (+ (+ -1/4 (/ 1/3 x)) (/ (/ (/ 1 x) x) x)))
(* x (* x (* x x)))
x
(* x (* x x))
(* x x)
(+ (+ -1/4 (/ 1/3 x)) (/ (/ (/ 1 x) x) x))
(+ -1/4 (/ 1/3 x))
-1/4
(/ 1/3 x)
1/3
(/ (/ (/ 1 x) x) x)
(/ (/ 1 x) x)
(/ 1 x)
1
(* (* (+ 1 (* (* x (* x x)) (+ -1/8 (* x 1/4)))) x) (/ 1 (+ 1 (* (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) (+ (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) -1)))))
(* (+ 1 (* (* x (* x x)) (+ -1/8 (* x 1/4)))) x)
(+ 1 (* (* x (* x x)) (+ -1/8 (* x 1/4))))
1
(* (* x (* x x)) (+ -1/8 (* x 1/4)))
(* x (* x x))
x
(* x x)
(+ -1/8 (* x 1/4))
-1/8
(* x 1/4)
1/4
(/ 1 (+ 1 (* (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) (+ (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) -1))))
(+ 1 (* (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) (+ (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) -1)))
(* (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) (+ (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) -1))
(* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))
(+ -1/2 (* x (+ 1/3 (* x -1/4))))
-1/2
(* x (+ 1/3 (* x -1/4)))
(+ 1/3 (* x -1/4))
1/3
(* x -1/4)
-1/4
(+ (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) -1)
-1
(* (* (+ 1 (* (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x))))) x) (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/8)))))))
(* (+ 1 (* (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x))))) x)
(+ 1 (* (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)))))
1
(* (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x))))
(* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))
x
(+ -1/2 (* x (+ 1/3 (* x -1/4))))
-1/2
(* x (+ 1/3 (* x -1/4)))
(+ 1/3 (* x -1/4))
1/3
(* x -1/4)
-1/4
(* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)))
(* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x))
(* x x)
(+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/8))))))
(* x (+ -1/2 (* x (+ 1/3 (* x -1/8)))))
(+ -1/2 (* x (+ 1/3 (* x -1/8))))
(* x (+ 1/3 (* x -1/8)))
(+ 1/3 (* x -1/8))
(* x -1/8)
-1/8

Outputs
(/ x (+ 1 (* x 1/2)))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
x
(+ 1 (* x 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(/ x (+ 1 (* x (+ 1/2 (* x -1/12)))))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64))))))
x
(+ 1 (* x (+ 1/2 (* x -1/12))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64)))))
1
#s(literal 1 binary64)
(* x (+ 1/2 (* x -1/12)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64))))
(+ 1/2 (* x -1/12))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64)))
1/2
#s(literal 1/2 binary64)
(* x -1/12)
(*.f64 x #s(literal -1/12 binary64))
-1/12
#s(literal -1/12 binary64)
(* (* x (* x (* x x))) (+ (+ -1/4 (/ 1/3 x)) (/ (/ (/ 1 x) x) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 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)
(+ (+ -1/4 (/ 1/3 x)) (/ (/ (/ 1 x) x) x))
(+.f64 (/.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
(+ -1/4 (/ 1/3 x))
(+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))
-1/4
#s(literal -1/4 binary64)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
1/3
#s(literal 1/3 binary64)
(/ (/ (/ 1 x) x) x)
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ (/ 1 x) x)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(* (* (+ 1 (* (* x (* x x)) (+ -1/8 (* x 1/4)))) x) (/ 1 (+ 1 (* (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) (+ (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) -1)))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/4 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) #s(literal -1 binary64))))))
(* (+ 1 (* (* x (* x x)) (+ -1/8 (* x 1/4)))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/4 binary64))))))
(+ 1 (* (* x (* x x)) (+ -1/8 (* x 1/4))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/4 binary64)))))
1
#s(literal 1 binary64)
(* (* x (* x x)) (+ -1/8 (* x 1/4)))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/4 binary64))))
(* x (* x x))
(.f64 x (.f64 x x))
x
(* x x)
(*.f64 x x)
(+ -1/8 (* x 1/4))
(+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/4 binary64)))
-1/8
#s(literal -1/8 binary64)
(* x 1/4)
(*.f64 x #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
(/ 1 (+ 1 (* (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) (+ (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) -1))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) #s(literal -1 binary64))))))
(+ 1 (* (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) (+ (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) -1)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) #s(literal -1 binary64)))))
(* (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) (+ (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) -1))
(.f64 x (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) #s(literal -1 binary64))))
(* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))
(+ -1/2 (* x (+ 1/3 (* x -1/4))))
(+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))
-1/2
#s(literal -1/2 binary64)
(* x (+ 1/3 (* x -1/4)))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))
(+ 1/3 (* x -1/4))
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
1/3
#s(literal 1/3 binary64)
(* x -1/4)
(*.f64 x #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)
(+ (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) -1)
(+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(* (* (+ 1 (* (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x))))) x) (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/8)))))))
(.f64 x (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/8 binary64)))))))))
(* (+ 1 (* (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x))))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))))))))
(+ 1 (* (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))))))
1
#s(literal 1 binary64)
(* (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x))))
(.f64 (.f64 x x) (.f64 x (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))))
(* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))
x
(+ -1/2 (* x (+ 1/3 (* x -1/4))))
(+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))
-1/2
#s(literal -1/2 binary64)
(* x (+ 1/3 (* x -1/4)))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))
(+ 1/3 (* x -1/4))
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
1/3
#s(literal 1/3 binary64)
(* x -1/4)
(*.f64 x #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)
(* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)))
(.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))
(* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x))
(.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))))
(* x x)
(*.f64 x x)
(+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/8))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))))))
(* x (+ -1/2 (* x (+ 1/3 (* x -1/8)))))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64))))))
(+ -1/2 (* x (+ 1/3 (* x -1/8))))
(+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/8 binary64)))))
(* x (+ 1/3 (* x -1/8)))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/8 binary64))))
(+ 1/3 (* x -1/8))
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))
(* x -1/8)
(*.f64 x #s(literal -1/8 binary64))
-1/8
#s(literal -1/8 binary64)

localize349.0ms (3.3%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (*.f64 x x))))
✓	accuracy	99.9%	(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 x x))
✓	accuracy	99.6%	(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/8 binary64))))
✓	accuracy	99.6%	(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) #s(literal -1 binary64)))))
✓	accuracy	99.6%	(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))
✓	accuracy	73.2%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/4 binary64))))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) #s(literal -1 binary64))))))
✓	accuracy	99.8%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
✓	accuracy	99.5%	(/.f64 #s(literal 1/3 binary64) x)
✓	accuracy	48.1%	(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64)))))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64))))
✓	accuracy	99.4%	(*.f64 x #s(literal -1/12 binary64))
✓	accuracy	86.0%	(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64))))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))

Results

223.0ms

256×

valid

Compiler

Compiled 664 to 56 computations (91.6% saved)

Precisions

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

ival-mult: 34.0ms (43.1% of total)

ival-add: 20.0ms (25.3% of total)

ival-div: 14.0ms (17.7% of total)

...c/correct-round.rkt:119:19: 9.0ms (11.4% of total)

const: 1.0ms (1.3% of total)

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

series20.0ms (0.2%)

Counts

27 → 324

Calls

Call 1

Inputs
#<alt (/ x (+ 1 (* x 1/2)))>
#<alt (+ 1 (* x 1/2))>
#<alt (* x 1/2)>
#<alt (/ x (+ 1 (* x (+ 1/2 (* x -1/12)))))>
#<alt (+ 1 (* x (+ 1/2 (* x -1/12))))>
#<alt (* x (+ 1/2 (* x -1/12)))>
#<alt (+ 1/2 (* x -1/12))>
#<alt (* (* x (* x (* x x))) (+ (+ -1/4 (/ 1/3 x)) (/ (/ (/ 1 x) x) x)))>
#<alt (* x (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (* x x)>
#<alt (* (* (+ 1 (* (* x (* x x)) (+ -1/8 (* x 1/4)))) x) (/ 1 (+ 1 (* (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) (+ (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) -1)))))>
#<alt (* (+ 1 (* (* x (* x x)) (+ -1/8 (* x 1/4)))) x)>
#<alt (+ 1 (* (* x (* x x)) (+ -1/8 (* x 1/4))))>
#<alt (* (* x (* x x)) (+ -1/8 (* x 1/4)))>
#<alt (* (* (+ 1 (* (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x))))) x) (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/8)))))))>
#<alt (* (+ 1 (* (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x))))) x)>
#<alt (+ 1 (* (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)))))>
#<alt (* (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x))))>
#<alt (* x -1/12)>
#<alt (/ 1/3 x)>
#<alt (/ (/ 1 x) x)>
#<alt (/ (/ (/ 1 x) x) x)>
#<alt (* x (+ 1/3 (* x -1/4)))>
#<alt (/ 1 (+ 1 (* (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) (+ (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) -1))))>
#<alt (* x (+ 1/3 (* x -1/8)))>
#<alt (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x))>

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/4 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2))))>
#<alt 2>
#<alt (- 2 (* 4 (/ 1 x)))>
#<alt (- (+ 2 (/ 8 (pow x 2))) (* 4 (/ 1 x)))>
#<alt (- (+ 2 (/ 8 (pow x 2))) (+ (* 4 (/ 1 x)) (* 16 (/ 1 (pow x 3)))))>
#<alt 2>
#<alt (- 2 (* 4 (/ 1 x)))>
#<alt (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 x))) x)))>
#<alt (+ 2 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 16 (/ 1 x))) x))) x)))>
#<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 x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -5/24 x))) 1/2))))>
#<alt (/ -12 x)>
#<alt (* -1 (/ (+ 12 (* 72 (/ 1 x))) x))>
#<alt (/ (- (* -1 (/ (+ 72 (* 576 (/ 1 x))) x)) 12) x)>
#<alt (/ (- (* -1 (/ (+ 576 (* 4320 (/ 1 x))) (pow x 2))) (+ 12 (* 72 (/ 1 x)))) x)>
#<alt (/ -12 x)>
#<alt (* -1 (/ (+ 12 (* 72 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 12 (+ (* 72 (/ 1 x)) (/ 576 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 12 (* -1 (/ (- (* -1 (/ (+ 576 (* 4320 (/ 1 x))) x)) 72) x))) x))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* -1/12 x))))>
#<alt (+ 1 (* x (+ 1/2 (* -1/12 x))))>
#<alt (* -1/12 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12))>
#<alt (* -1/12 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/12 x)))>
#<alt (* x (+ 1/2 (* -1/12 x)))>
#<alt (* x (+ 1/2 (* -1/12 x)))>
#<alt (* -1/12 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))>
#<alt (* -1/12 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/12 x))>
#<alt (+ 1/2 (* -1/12 x))>
#<alt (+ 1/2 (* -1/12 x))>
#<alt (* -1/12 x)>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/12))>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/12))>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/12))>
#<alt (* -1/12 x)>
#<alt (* -1 (* x (- 1/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/12 (* 1/2 (/ 1 x)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* -1/4 x)))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* -1/4 x)))))>
#<alt (* -1/4 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) 1/4))>
#<alt (* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) 1/4))>
#<alt (* -1/4 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) 1/4))>
#<alt (* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) 1/4))>
#<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 (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (/ 4 x)>
#<alt (/ (+ 4 (* 26/3 (/ 1 x))) x)>
#<alt (/ (- (+ 4 (* 26/3 (/ 1 x))) (/ 1208/27 (pow x 3))) x)>
#<alt (/ (+ 4 (+ (* -1 (/ (+ 1208/27 (* 7000/81 (/ 1 x))) (pow x 3))) (* 26/3 (/ 1 x)))) x)>
#<alt (/ 4 x)>
#<alt (/ (+ 4 (* 26/3 (/ 1 x))) x)>
#<alt (* -1 (/ (- (* -1 (/ (- 26/3 (* 1208/27 (/ 1 (pow x 2)))) x)) 4) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 26/3 (* -1 (/ (+ 1208/27 (* 7000/81 (/ 1 x))) (pow x 2)))) x)) 4) x))>
#<alt x>
#<alt (* x (+ 1 (* -1/8 (pow x 3))))>
#<alt (* x (+ 1 (* (pow x 3) (- (* 1/4 x) 1/8))))>
#<alt (* x (+ 1 (* (pow x 3) (- (* 1/4 x) 1/8))))>
#<alt (* 1/4 (pow x 5))>
#<alt (* (pow x 5) (- 1/4 (* 1/8 (/ 1 x))))>
#<alt (* (pow x 5) (- (+ 1/4 (/ 1 (pow x 4))) (* 1/8 (/ 1 x))))>
#<alt (* (pow x 5) (- (+ 1/4 (/ 1 (pow x 4))) (* 1/8 (/ 1 x))))>
#<alt (* 1/4 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/8 (/ 1 x)) 1/4)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (- (/ 1 (pow x 3)) 1/8) x)) 1/4)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (- (/ 1 (pow x 3)) 1/8) x)) 1/4)))>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow x 3)))>
#<alt (+ 1 (* (pow x 3) (- (* 1/4 x) 1/8)))>
#<alt (+ 1 (* (pow x 3) (- (* 1/4 x) 1/8)))>
#<alt (* 1/4 (pow x 4))>
#<alt (* (pow x 4) (- 1/4 (* 1/8 (/ 1 x))))>
#<alt (* (pow x 4) (- (+ 1/4 (/ 1 (pow x 4))) (* 1/8 (/ 1 x))))>
#<alt (* (pow x 4) (- (+ 1/4 (/ 1 (pow x 4))) (* 1/8 (/ 1 x))))>
#<alt (* 1/4 (pow x 4))>
#<alt (* (pow x 4) (- 1/4 (* 1/8 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/4 (* -1 (/ (- 1/8 (/ 1 (pow x 3))) x))))>
#<alt (* (pow x 4) (+ 1/4 (* -1 (/ (- 1/8 (/ 1 (pow x 3))) x))))>
#<alt (* -1/8 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/4 x) 1/8))>
#<alt (* (pow x 3) (- (* 1/4 x) 1/8))>
#<alt (* (pow x 3) (- (* 1/4 x) 1/8))>
#<alt (* 1/4 (pow x 4))>
#<alt (* (pow x 4) (- 1/4 (* 1/8 (/ 1 x))))>
#<alt (* (pow x 4) (- 1/4 (* 1/8 (/ 1 x))))>
#<alt (* (pow x 4) (- 1/4 (* 1/8 (/ 1 x))))>
#<alt (* 1/4 (pow x 4))>
#<alt (* (pow x 4) (- 1/4 (* 1/8 (/ 1 x))))>
#<alt (* (pow x 4) (- 1/4 (* 1/8 (/ 1 x))))>
#<alt (* (pow x 4) (- 1/4 (* 1/8 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* 1/512 (pow x 13))>
#<alt (* (pow x 13) (- 1/512 (* 5/384 (/ 1 x))))>
#<alt (* (pow x 13) (- (+ 1/512 (/ 13/256 (pow x 2))) (* 5/384 (/ 1 x))))>
#<alt (* (pow x 13) (- (+ 1/512 (/ 13/256 (pow x 2))) (+ (* 5/384 (/ 1 x)) (* 245/1728 (/ 1 (pow x 3))))))>
#<alt (* 1/512 (pow x 13))>
#<alt (* -1 (* (pow x 13) (- (* 5/384 (/ 1 x)) 1/512)))>
#<alt (* -1 (* (pow x 13) (- (* -1 (/ (- (* 13/256 (/ 1 x)) 5/384) x)) 1/512)))>
#<alt (* -1 (* (pow x 13) (- (* -1 (/ (- (* -1 (/ (- (* 245/1728 (/ 1 x)) 13/256) x)) 5/384) x)) 1/512)))>
#<alt x>
#<alt (* x (+ 1 (* -1/8 (pow x 3))))>
#<alt (* x (+ 1 (* (pow x 3) (- (* 1/4 x) 1/8))))>
#<alt (* x (+ 1 (* (pow x 3) (- (* x (+ 1/4 (* -17/48 x))) 1/8))))>
#<alt (* -1/64 (pow x 10))>
#<alt (* (pow x 10) (- (* 1/16 (/ 1 x)) 1/64))>
#<alt (* (pow x 10) (- (* 1/16 (/ 1 x)) (+ 1/64 (/ 17/96 (pow x 2)))))>
#<alt (* (pow x 10) (- (+ (* 1/16 (/ 1 x)) (* 31/108 (/ 1 (pow x 3)))) (+ 1/64 (/ 17/96 (pow x 2)))))>
#<alt (* -1/64 (pow x 10))>
#<alt (* (pow x 10) (- (* 1/16 (/ 1 x)) 1/64))>
#<alt (* (pow x 10) (- (* -1 (/ (- (* 17/96 (/ 1 x)) 1/16) x)) 1/64))>
#<alt (* (pow x 10) (- (* -1 (/ (- (* -1 (/ (- (* 31/108 (/ 1 x)) 17/96) x)) 1/16) x)) 1/64))>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow x 3)))>
#<alt (+ 1 (* (pow x 3) (- (* 1/4 x) 1/8)))>
#<alt (+ 1 (* (pow x 3) (- (* x (+ 1/4 (* -17/48 x))) 1/8)))>
#<alt (* -1/64 (pow x 9))>
#<alt (* (pow x 9) (- (* 1/16 (/ 1 x)) 1/64))>
#<alt (* (pow x 9) (- (* 1/16 (/ 1 x)) (+ 1/64 (/ 17/96 (pow x 2)))))>
#<alt (* (pow x 9) (- (+ (* 1/16 (/ 1 x)) (* 31/108 (/ 1 (pow x 3)))) (+ 1/64 (/ 17/96 (pow x 2)))))>
#<alt (* -1/64 (pow x 9))>
#<alt (* -1 (* (pow x 9) (- 1/64 (* 1/16 (/ 1 x)))))>
#<alt (* -1 (* (pow x 9) (+ 1/64 (* -1 (/ (- 1/16 (* 17/96 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 9) (+ 1/64 (* -1 (/ (+ 1/16 (* -1 (/ (- 17/96 (* 31/108 (/ 1 x))) x))) x)))))>
#<alt (* -1/8 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/4 x) 1/8))>
#<alt (* (pow x 3) (- (* x (+ 1/4 (* -17/48 x))) 1/8))>
#<alt (* (pow x 3) (- (* x (+ 1/4 (* x (- (* 31/108 x) 17/48)))) 1/8))>
#<alt (* -1/64 (pow x 9))>
#<alt (* (pow x 9) (- (* 1/16 (/ 1 x)) 1/64))>
#<alt (* (pow x 9) (- (* 1/16 (/ 1 x)) (+ 1/64 (/ 17/96 (pow x 2)))))>
#<alt (* (pow x 9) (- (+ (* 1/16 (/ 1 x)) (* 31/108 (/ 1 (pow x 3)))) (+ 1/64 (/ 17/96 (pow x 2)))))>
#<alt (* -1/64 (pow x 9))>
#<alt (* -1 (* (pow x 9) (- 1/64 (* 1/16 (/ 1 x)))))>
#<alt (* -1 (* (pow x 9) (+ 1/64 (* -1 (/ (- 1/16 (* 17/96 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 9) (+ 1/64 (* -1 (/ (+ 1/16 (* -1 (/ (- 17/96 (* 31/108 (/ 1 x))) x))) x)))))>
#<alt (* -1/12 x)>
#<alt (* -1/12 x)>
#<alt (* -1/12 x)>
#<alt (* -1/12 x)>
#<alt (* -1/12 x)>
#<alt (* -1/12 x)>
#<alt (* -1/12 x)>
#<alt (* -1/12 x)>
#<alt (* -1/12 x)>
#<alt (* -1/12 x)>
#<alt (* -1/12 x)>
#<alt (* -1/12 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (/ 1 (pow x 3))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* -1/4 x)))>
#<alt (* x (+ 1/3 (* -1/4 x)))>
#<alt (* x (+ 1/3 (* -1/4 x)))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* 1/3 x) 1/2)))>
#<alt (+ 1 (* x (- (* x (+ 1/3 (* -1/8 x))) 1/2)))>
#<alt (/ 16 (pow x 6))>
#<alt (/ (+ 16 (* 128/3 (/ 1 x))) (pow x 6))>
#<alt (/ (+ 16 (+ (* 128/3 (/ 1 x)) (/ 64/3 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 16 (+ (* 128/3 (/ 1 x)) (/ 64/3 (pow x 2)))) (* 4544/27 (/ 1 (pow x 3)))) (pow x 6))>
#<alt (/ 16 (pow x 6))>
#<alt (/ (+ 16 (* 128/3 (/ 1 x))) (pow x 6))>
#<alt (/ (+ 16 (+ (* 128/3 (/ 1 x)) (/ 64/3 (pow x 2)))) (pow x 6))>
#<alt (/ (+ 16 (* -1 (/ (- (* -1 (/ (- 64/3 (* 4544/27 (/ 1 x))) x)) 128/3) x))) (pow x 6))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* -1/8 x)))>
#<alt (* x (+ 1/3 (* -1/8 x)))>
#<alt (* x (+ 1/3 (* -1/8 x)))>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8))>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 x) 1/2))>
#<alt (* (pow x 2) (- (* x (+ 1/3 (* -1/4 x))) 1/2))>
#<alt (* (pow x 2) (- (* x (+ 1/3 (* -1/4 x))) 1/2))>
#<alt (* -1/4 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* -1/4 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))>

Calls

81 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/ x (+ 1 (* x 1/2)))
1.0ms	x	@	inf	(/ x (+ 1 (* x (+ 1/2 (* x -1/12)))))
0.0ms	x	@	-inf	(* (* (+ 1 (* (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x))))) x) (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/8)))))))
0.0ms	x	@	inf	(* (* (+ 1 (* (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x))))) x) (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/8)))))))
0.0ms	x	@	inf	(* (* (+ 1 (* (* x (* x x)) (+ -1/8 (* x 1/4)))) x) (/ 1 (+ 1 (* (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) (+ (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) -1)))))

rewrite331.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3742×	`-lowering-.f32`
3742×	`-lowering-.f64`
1478×	`pow-lowering-pow.f64`
1478×	`pow-lowering-pow.f32`
1422×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	55	374
1	389	241
2	4209	239
0	8218	239

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 479

Calls

Call 1

Inputs
(/ x (+ 1 (* x 1/2)))
(+ 1 (* x 1/2))
(* x 1/2)
(/ x (+ 1 (* x (+ 1/2 (* x -1/12)))))
(+ 1 (* x (+ 1/2 (* x -1/12))))
(* x (+ 1/2 (* x -1/12)))
(+ 1/2 (* x -1/12))
(* (* x (* x (* x x))) (+ (+ -1/4 (/ 1/3 x)) (/ (/ (/ 1 x) x) x)))
(* x (* x (* x x)))
(* x (* x x))
(* x x)
(* (* (+ 1 (* (* x (* x x)) (+ -1/8 (* x 1/4)))) x) (/ 1 (+ 1 (* (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) (+ (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) -1)))))
(* (+ 1 (* (* x (* x x)) (+ -1/8 (* x 1/4)))) x)
(+ 1 (* (* x (* x x)) (+ -1/8 (* x 1/4))))
(* (* x (* x x)) (+ -1/8 (* x 1/4)))
(* (* (+ 1 (* (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x))))) x) (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/8)))))))
(* (+ 1 (* (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x))))) x)
(+ 1 (* (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)))))
(* (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x))))
(* x -1/12)
(/ 1/3 x)
(/ (/ 1 x) x)
(/ (/ (/ 1 x) x) x)
(* x (+ 1/3 (* x -1/4)))
(/ 1 (+ 1 (* (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) (+ (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) -1))))
(* x (+ 1/3 (* x -1/8)))
(* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) x)) #s(literal -1 binary64)))
(neg.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))) x)
(.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 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 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/4 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 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 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (neg.f64 (+.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 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(pow.f64 (/.f64 (+.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 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/4 binary64)))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (/.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 binary64) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))))
(*.f64 x #s(literal 1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64))))) x)) #s(literal -1 binary64)))
(neg.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64))))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64)))))))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64))))) x) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64))))) x)))
(/.f64 (-.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 #s(literal -1/12 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64))))))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64))))) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64))))) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64)))))))
(.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64)))))))
(.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64))))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64)))))) x)
(.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64)))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64)))) #s(literal 1 binary64)))))
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64)))))))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64)))))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 (.f64 x (*.f64 x #s(literal -1/12 binary64))) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (*.f64 x #s(literal -1/12 binary64))))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 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 #s(literal -1/12 binary64)))))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64)))))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64))) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64))) x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64)))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64)))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64))) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64))))))))))
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(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) #s(literal -1 binary64))))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) #s(literal -1 binary64))))) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) #s(literal -1 binary64)))) (.f64 (.f64 x (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) #s(literal -1 binary64)))) (.f64 x (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) #s(literal -1 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) #s(literal -1 binary64)))) (-.f64 (.f64 x (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) #s(literal -1 binary64)))) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) #s(literal -1 binary64)))) (.f64 (.f64 x (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) #s(literal -1 binary64)))) (.f64 x (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) #s(literal -1 binary64)))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) #s(literal -1 binary64)))) (-.f64 (.f64 x (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) #s(literal -1 binary64)))) #s(literal 1 binary64))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) #s(literal -1 binary64)))) (.f64 x (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) #s(literal -1 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) #s(literal -1 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) #s(literal -1 binary64)))) (.f64 x (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) #s(literal -1 binary64))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) #s(literal -1 binary64)))))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x #s(literal 1/3 binary64)))
(+.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 (*.f64 x x) #s(literal -1/8 binary64)))
(fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))
(fma.f64 #s(literal 1/3 binary64) x (.f64 (.f64 x x) #s(literal -1/8 binary64)))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64)))) (+.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 x #s(literal 1/3 binary64))) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (.f64 (.f64 x x) #s(literal -1/8 binary64))) (.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 (*.f64 x x) #s(literal -1/8 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 x #s(literal 1/3 binary64))) (.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (.f64 (.f64 x x) #s(literal -1/8 binary64)))) (-.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 (*.f64 x x) #s(literal -1/8 binary64))))
(/.f64 (.f64 x (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64)))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x #s(literal -1/8 binary64)) (-.f64 (*.f64 x #s(literal -1/8 binary64)) #s(literal 1/3 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal 1/64 binary64)))) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/8 binary64) x)))
(/.f64 (.f64 (+.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64))) x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x #s(literal -1/8 binary64)) (-.f64 (*.f64 x #s(literal -1/8 binary64)) #s(literal 1/3 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) #s(literal 1/64 binary64))) x) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/8 binary64) x)))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/8 binary64))))
(.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/8 binary64))) x)
(+.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))))
(+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))) (.f64 x x)))
(+.f64 (.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))) (.f64 x x)) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))) (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) #s(literal -1/2 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))))) (-.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))))) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))) (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) #s(literal -1/2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))))) (.f64 x x)) (-.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))
(.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))))
(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) x)

simplify282.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

4438×	`-lowering-.f32`
4438×	`-lowering-.f64`
2608×	`+-lowering-+.f64`
2608×	`+-lowering-+.f32`
1778×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	372	2357
1	1160	2142
2	3065	2068
0	8438	2068

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/4 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2))))
2
(- 2 (* 4 (/ 1 x)))
(- (+ 2 (/ 8 (pow x 2))) (* 4 (/ 1 x)))
(- (+ 2 (/ 8 (pow x 2))) (+ (* 4 (/ 1 x)) (* 16 (/ 1 (pow x 3)))))
2
(- 2 (* 4 (/ 1 x)))
(+ 2 (* -1 (/ (- 4 (* 8 (/ 1 x))) x)))
(+ 2 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 16 (/ 1 x))) x))) x)))
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)
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -5/24 x))) 1/2))))
(/ -12 x)
(* -1 (/ (+ 12 (* 72 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 72 (* 576 (/ 1 x))) x)) 12) x)
(/ (- (* -1 (/ (+ 576 (* 4320 (/ 1 x))) (pow x 2))) (+ 12 (* 72 (/ 1 x)))) x)
(/ -12 x)
(* -1 (/ (+ 12 (* 72 (/ 1 x))) x))
(* -1 (/ (+ 12 (+ (* 72 (/ 1 x)) (/ 576 (pow x 2)))) x))
(* -1 (/ (+ 12 (* -1 (/ (- (* -1 (/ (+ 576 (* 4320 (/ 1 x))) x)) 72) x))) x))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/12 x))))
(+ 1 (* x (+ 1/2 (* -1/12 x))))
(* -1/12 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12))
(* -1/12 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12))
(* 1/2 x)
(* x (+ 1/2 (* -1/12 x)))
(* x (+ 1/2 (* -1/12 x)))
(* x (+ 1/2 (* -1/12 x)))
(* -1/12 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))
(* -1/12 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))
1/2
(+ 1/2 (* -1/12 x))
(+ 1/2 (* -1/12 x))
(+ 1/2 (* -1/12 x))
(* -1/12 x)
(* x (- (* 1/2 (/ 1 x)) 1/12))
(* x (- (* 1/2 (/ 1 x)) 1/12))
(* x (- (* 1/2 (/ 1 x)) 1/12))
(* -1/12 x)
(* -1 (* x (- 1/12 (* 1/2 (/ 1 x)))))
(* -1 (* x (- 1/12 (* 1/2 (/ 1 x)))))
(* -1 (* x (- 1/12 (* 1/2 (/ 1 x)))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* -1/4 x)))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* -1/4 x)))))
(* -1/4 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) 1/4))
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) 1/4))
(* -1/4 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) 1/4))
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) 1/4))
(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)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(/ 4 x)
(/ (+ 4 (* 26/3 (/ 1 x))) x)
(/ (- (+ 4 (* 26/3 (/ 1 x))) (/ 1208/27 (pow x 3))) x)
(/ (+ 4 (+ (* -1 (/ (+ 1208/27 (* 7000/81 (/ 1 x))) (pow x 3))) (* 26/3 (/ 1 x)))) x)
(/ 4 x)
(/ (+ 4 (* 26/3 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (- 26/3 (* 1208/27 (/ 1 (pow x 2)))) x)) 4) x))
(* -1 (/ (- (* -1 (/ (+ 26/3 (* -1 (/ (+ 1208/27 (* 7000/81 (/ 1 x))) (pow x 2)))) x)) 4) x))
x
(* x (+ 1 (* -1/8 (pow x 3))))
(* x (+ 1 (* (pow x 3) (- (* 1/4 x) 1/8))))
(* x (+ 1 (* (pow x 3) (- (* 1/4 x) 1/8))))
(* 1/4 (pow x 5))
(* (pow x 5) (- 1/4 (* 1/8 (/ 1 x))))
(* (pow x 5) (- (+ 1/4 (/ 1 (pow x 4))) (* 1/8 (/ 1 x))))
(* (pow x 5) (- (+ 1/4 (/ 1 (pow x 4))) (* 1/8 (/ 1 x))))
(* 1/4 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/8 (/ 1 x)) 1/4)))
(* -1 (* (pow x 5) (- (* -1 (/ (- (/ 1 (pow x 3)) 1/8) x)) 1/4)))
(* -1 (* (pow x 5) (- (* -1 (/ (- (/ 1 (pow x 3)) 1/8) x)) 1/4)))
1
(+ 1 (* -1/8 (pow x 3)))
(+ 1 (* (pow x 3) (- (* 1/4 x) 1/8)))
(+ 1 (* (pow x 3) (- (* 1/4 x) 1/8)))
(* 1/4 (pow x 4))
(* (pow x 4) (- 1/4 (* 1/8 (/ 1 x))))
(* (pow x 4) (- (+ 1/4 (/ 1 (pow x 4))) (* 1/8 (/ 1 x))))
(* (pow x 4) (- (+ 1/4 (/ 1 (pow x 4))) (* 1/8 (/ 1 x))))
(* 1/4 (pow x 4))
(* (pow x 4) (- 1/4 (* 1/8 (/ 1 x))))
(* (pow x 4) (+ 1/4 (* -1 (/ (- 1/8 (/ 1 (pow x 3))) x))))
(* (pow x 4) (+ 1/4 (* -1 (/ (- 1/8 (/ 1 (pow x 3))) x))))
(* -1/8 (pow x 3))
(* (pow x 3) (- (* 1/4 x) 1/8))
(* (pow x 3) (- (* 1/4 x) 1/8))
(* (pow x 3) (- (* 1/4 x) 1/8))
(* 1/4 (pow x 4))
(* (pow x 4) (- 1/4 (* 1/8 (/ 1 x))))
(* (pow x 4) (- 1/4 (* 1/8 (/ 1 x))))
(* (pow x 4) (- 1/4 (* 1/8 (/ 1 x))))
(* 1/4 (pow x 4))
(* (pow x 4) (- 1/4 (* 1/8 (/ 1 x))))
(* (pow x 4) (- 1/4 (* 1/8 (/ 1 x))))
(* (pow x 4) (- 1/4 (* 1/8 (/ 1 x))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* 1/512 (pow x 13))
(* (pow x 13) (- 1/512 (* 5/384 (/ 1 x))))
(* (pow x 13) (- (+ 1/512 (/ 13/256 (pow x 2))) (* 5/384 (/ 1 x))))
(* (pow x 13) (- (+ 1/512 (/ 13/256 (pow x 2))) (+ (* 5/384 (/ 1 x)) (* 245/1728 (/ 1 (pow x 3))))))
(* 1/512 (pow x 13))
(* -1 (* (pow x 13) (- (* 5/384 (/ 1 x)) 1/512)))
(* -1 (* (pow x 13) (- (* -1 (/ (- (* 13/256 (/ 1 x)) 5/384) x)) 1/512)))
(* -1 (* (pow x 13) (- (* -1 (/ (- (* -1 (/ (- (* 245/1728 (/ 1 x)) 13/256) x)) 5/384) x)) 1/512)))
x
(* x (+ 1 (* -1/8 (pow x 3))))
(* x (+ 1 (* (pow x 3) (- (* 1/4 x) 1/8))))
(* x (+ 1 (* (pow x 3) (- (* x (+ 1/4 (* -17/48 x))) 1/8))))
(* -1/64 (pow x 10))
(* (pow x 10) (- (* 1/16 (/ 1 x)) 1/64))
(* (pow x 10) (- (* 1/16 (/ 1 x)) (+ 1/64 (/ 17/96 (pow x 2)))))
(* (pow x 10) (- (+ (* 1/16 (/ 1 x)) (* 31/108 (/ 1 (pow x 3)))) (+ 1/64 (/ 17/96 (pow x 2)))))
(* -1/64 (pow x 10))
(* (pow x 10) (- (* 1/16 (/ 1 x)) 1/64))
(* (pow x 10) (- (* -1 (/ (- (* 17/96 (/ 1 x)) 1/16) x)) 1/64))
(* (pow x 10) (- (* -1 (/ (- (* -1 (/ (- (* 31/108 (/ 1 x)) 17/96) x)) 1/16) x)) 1/64))
1
(+ 1 (* -1/8 (pow x 3)))
(+ 1 (* (pow x 3) (- (* 1/4 x) 1/8)))
(+ 1 (* (pow x 3) (- (* x (+ 1/4 (* -17/48 x))) 1/8)))
(* -1/64 (pow x 9))
(* (pow x 9) (- (* 1/16 (/ 1 x)) 1/64))
(* (pow x 9) (- (* 1/16 (/ 1 x)) (+ 1/64 (/ 17/96 (pow x 2)))))
(* (pow x 9) (- (+ (* 1/16 (/ 1 x)) (* 31/108 (/ 1 (pow x 3)))) (+ 1/64 (/ 17/96 (pow x 2)))))
(* -1/64 (pow x 9))
(* -1 (* (pow x 9) (- 1/64 (* 1/16 (/ 1 x)))))
(* -1 (* (pow x 9) (+ 1/64 (* -1 (/ (- 1/16 (* 17/96 (/ 1 x))) x)))))
(* -1 (* (pow x 9) (+ 1/64 (* -1 (/ (+ 1/16 (* -1 (/ (- 17/96 (* 31/108 (/ 1 x))) x))) x)))))
(* -1/8 (pow x 3))
(* (pow x 3) (- (* 1/4 x) 1/8))
(* (pow x 3) (- (* x (+ 1/4 (* -17/48 x))) 1/8))
(* (pow x 3) (- (* x (+ 1/4 (* x (- (* 31/108 x) 17/48)))) 1/8))
(* -1/64 (pow x 9))
(* (pow x 9) (- (* 1/16 (/ 1 x)) 1/64))
(* (pow x 9) (- (* 1/16 (/ 1 x)) (+ 1/64 (/ 17/96 (pow x 2)))))
(* (pow x 9) (- (+ (* 1/16 (/ 1 x)) (* 31/108 (/ 1 (pow x 3)))) (+ 1/64 (/ 17/96 (pow x 2)))))
(* -1/64 (pow x 9))
(* -1 (* (pow x 9) (- 1/64 (* 1/16 (/ 1 x)))))
(* -1 (* (pow x 9) (+ 1/64 (* -1 (/ (- 1/16 (* 17/96 (/ 1 x))) x)))))
(* -1 (* (pow x 9) (+ 1/64 (* -1 (/ (+ 1/16 (* -1 (/ (- 17/96 (* 31/108 (/ 1 x))) x))) x)))))
(* -1/12 x)
(* -1/12 x)
(* -1/12 x)
(* -1/12 x)
(* -1/12 x)
(* -1/12 x)
(* -1/12 x)
(* -1/12 x)
(* -1/12 x)
(* -1/12 x)
(* -1/12 x)
(* -1/12 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(* 1/3 x)
(* x (+ 1/3 (* -1/4 x)))
(* x (+ 1/3 (* -1/4 x)))
(* x (+ 1/3 (* -1/4 x)))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/3 x) 1/2)))
(+ 1 (* x (- (* x (+ 1/3 (* -1/8 x))) 1/2)))
(/ 16 (pow x 6))
(/ (+ 16 (* 128/3 (/ 1 x))) (pow x 6))
(/ (+ 16 (+ (* 128/3 (/ 1 x)) (/ 64/3 (pow x 2)))) (pow x 6))
(/ (- (+ 16 (+ (* 128/3 (/ 1 x)) (/ 64/3 (pow x 2)))) (* 4544/27 (/ 1 (pow x 3)))) (pow x 6))
(/ 16 (pow x 6))
(/ (+ 16 (* 128/3 (/ 1 x))) (pow x 6))
(/ (+ 16 (+ (* 128/3 (/ 1 x)) (/ 64/3 (pow x 2)))) (pow x 6))
(/ (+ 16 (* -1 (/ (- (* -1 (/ (- 64/3 (* 4544/27 (/ 1 x))) x)) 128/3) x))) (pow x 6))
(* 1/3 x)
(* x (+ 1/3 (* -1/8 x)))
(* x (+ 1/3 (* -1/8 x)))
(* x (+ 1/3 (* -1/8 x)))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* (pow x 2) (- (* x (+ 1/3 (* -1/4 x))) 1/2))
(* (pow x 2) (- (* x (+ 1/3 (* -1/4 x))) 1/2))
(* -1/4 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* -1/4 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))

Outputs
x
(* x (+ 1 (* -1/2 x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))
(* x (+ 1 (* x (- (* 1/4 x) 1/2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/4 binary64))))))
(* x (+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/8 binary64))))))))
2
#s(literal 2 binary64)
(- 2 (* 4 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x))
(- (+ 2 (/ 8 (pow x 2))) (* 4 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) x) #s(literal -4 binary64)) x))
(- (+ 2 (/ 8 (pow x 2))) (+ (* 4 (/ 1 x)) (* 16 (/ 1 (pow x 3)))))
(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) x) #s(literal -4 binary64)) x)) (/.f64 #s(literal -16 binary64) (.f64 x (.f64 x x))))
2
#s(literal 2 binary64)
(- 2 (* 4 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x))
(+ 2 (* -1 (/ (- 4 (* 8 (/ 1 x))) x)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) x) #s(literal -4 binary64)) x))
(+ 2 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 16 (/ 1 x))) x))) x)))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) x) #s(literal -8 binary64)) x)) x))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* x (+ 1/2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* x (+ 1/2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* x (+ 1/2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* x (+ 1/2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
x
(* x (+ 1 (* -1/2 x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -5/24 x))) 1/2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -5/24 binary64))))))))
(/ -12 x)
(/.f64 #s(literal -12 binary64) x)
(* -1 (/ (+ 12 (* 72 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -12 binary64) (/.f64 #s(literal -72 binary64) x)) x)
(/ (- (* -1 (/ (+ 72 (* 576 (/ 1 x))) x)) 12) x)
(/.f64 (-.f64 #s(literal -12 binary64) (/.f64 (+.f64 #s(literal 72 binary64) (/.f64 #s(literal 576 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 576 (* 4320 (/ 1 x))) (pow x 2))) (+ 12 (* 72 (/ 1 x)))) x)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -576 binary64) (/.f64 #s(literal -4320 binary64) x)) x) #s(literal -72 binary64)) x) #s(literal -12 binary64)) x)
(/ -12 x)
(/.f64 #s(literal -12 binary64) x)
(* -1 (/ (+ 12 (* 72 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -12 binary64) (/.f64 #s(literal -72 binary64) x)) x)
(* -1 (/ (+ 12 (+ (* 72 (/ 1 x)) (/ 576 (pow x 2)))) x))
(/.f64 (+.f64 (+.f64 #s(literal -12 binary64) (/.f64 #s(literal -72 binary64) x)) (/.f64 (/.f64 #s(literal -576 binary64) x) x)) x)
(* -1 (/ (+ 12 (* -1 (/ (- (* -1 (/ (+ 576 (* 4320 (/ 1 x))) x)) 72) x))) x))
(/.f64 (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -576 binary64) (/.f64 #s(literal -4320 binary64) x)) x) #s(literal -72 binary64)) x))) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+ 1 (* x (+ 1/2 (* -1/12 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64)))))
(+ 1 (* x (+ 1/2 (* -1/12 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64)))))
(* -1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/12 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1/12 binary64)))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1/12 binary64)))))
(* -1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/12 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1/12 binary64)))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1/12 binary64)))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* -1/12 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64))))
(* x (+ 1/2 (* -1/12 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64))))
(* x (+ 1/2 (* -1/12 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64))))
(* -1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/12 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64))))
(* -1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/12 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/12 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64)))
(+ 1/2 (* -1/12 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64)))
(+ 1/2 (* -1/12 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64)))
(* -1/12 x)
(*.f64 x #s(literal -1/12 binary64))
(* x (- (* 1/2 (/ 1 x)) 1/12))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64)))
(* x (- (* 1/2 (/ 1 x)) 1/12))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64)))
(* x (- (* 1/2 (/ 1 x)) 1/12))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64)))
(* -1/12 x)
(*.f64 x #s(literal -1/12 binary64))
(* -1 (* x (- 1/12 (* 1/2 (/ 1 x)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64)))
(* -1 (* x (- 1/12 (* 1/2 (/ 1 x)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64)))
(* -1 (* x (- 1/12 (* 1/2 (/ 1 x)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* -1/4 x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* -1/4 x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))))
(* -1/4 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/4 binary64)))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) 1/4))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) 1/4))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* -1/4 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/4 binary64)))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) 1/4))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) 1/4))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 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))
(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)
x
(* x (+ 1 (* -1/2 x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))))))
(/ 4 x)
(/.f64 #s(literal 4 binary64) x)
(/ (+ 4 (* 26/3 (/ 1 x))) x)
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(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)
(/ 1 (pow x 3))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)
(/ 1 (pow x 3))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)
(/ 1 (pow x 3))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)
(/ 1 (pow x 3))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)
(/ 1 (pow x 3))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)
(/ 1 (pow x 3))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)
(/ 1 (pow x 3))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)
(/ 1 (pow x 3))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)
(/ 1 (pow x 3))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 (* -1/4 x)))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))
(* x (+ 1/3 (* -1/4 x)))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))
(* x (+ 1/3 (* -1/4 x)))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))
(* -1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/4 binary64))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* -1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/4 binary64))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(+ 1 (* x (- (* 1/3 x) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))
(+ 1 (* x (- (* x (+ 1/3 (* -1/8 x))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/8 binary64)) #s(literal 1/3 binary64))))))
(/ 16 (pow x 6))
(/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ (+ 16 (* 128/3 (/ 1 x))) (pow x 6))
(/.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 128/3 binary64) x)) (pow.f64 x #s(literal 6 binary64)))
(/ (+ 16 (+ (* 128/3 (/ 1 x)) (/ 64/3 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 128/3 binary64) x)) (/.f64 #s(literal 64/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (+ 16 (+ (* 128/3 (/ 1 x)) (/ 64/3 (pow x 2)))) (* 4544/27 (/ 1 (pow x 3)))) (pow x 6))
(/.f64 (+.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 128/3 binary64) x)) (/.f64 (/.f64 (-.f64 #s(literal 64/3 binary64) (/.f64 #s(literal 4544/27 binary64) x)) x) x)) (pow.f64 x #s(literal 6 binary64)))
(/ 16 (pow x 6))
(/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ (+ 16 (* 128/3 (/ 1 x))) (pow x 6))
(/.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 128/3 binary64) x)) (pow.f64 x #s(literal 6 binary64)))
(/ (+ 16 (+ (* 128/3 (/ 1 x)) (/ 64/3 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 128/3 binary64) x)) (/.f64 #s(literal 64/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(/ (+ 16 (* -1 (/ (- (* -1 (/ (- 64/3 (* 4544/27 (/ 1 x))) x)) 128/3) x))) (pow x 6))
(/.f64 (-.f64 #s(literal 16 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4544/27 binary64) x) #s(literal -64/3 binary64)) x) #s(literal -128/3 binary64)) x)) (pow.f64 x #s(literal 6 binary64)))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 (* -1/8 x)))
(.f64 x (+.f64 (.f64 x #s(literal -1/8 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* -1/8 x)))
(.f64 x (+.f64 (.f64 x #s(literal -1/8 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* -1/8 x)))
(.f64 x (+.f64 (.f64 x #s(literal -1/8 binary64)) #s(literal 1/3 binary64)))
(* -1/8 (pow x 2))
(.f64 #s(literal -1/8 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8))
(.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8))
(.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8))
(.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* -1/8 (pow x 2))
(.f64 #s(literal -1/8 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8))
(.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8))
(.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8))
(.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* (pow x 2) (- (* 1/3 x) 1/2))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))
(* (pow x 2) (- (* x (+ 1/3 (* -1/4 x))) 1/2))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))))
(* (pow x 2) (- (* x (+ 1/3 (* -1/4 x))) 1/2))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))))
(* -1/4 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/4 binary64)))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/3 binary64)) x)))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/3 binary64)) x)))
(* -1/4 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/4 binary64)))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/3 binary64)) x)))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/3 binary64)) x)))

eval172.0ms (1.6%)

Compiler: Compiled 38754 to 2729 computations (93% saved)

prune116.0ms (1.1%)

Pruning

27 alts after pruning (17 fresh and 10 done)

	Pruned	Kept	Total
New	967	16	983
Fresh	0	1	1
Picked	2	3	5
Done	0	7	7
Total	969	27	996

Accuracy

100.0%

Counts

996 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	68.8%	(/.f64 x (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	67.6%	(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))))
	67.6%	(/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.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 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))))))
	68.8%	(/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/4 binary64))))))
	66.5%	(/.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 (.f64 x (*.f64 x #s(literal -1/12 binary64))) #s(literal 1 binary64))))
✓	66.5%	(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64))))))
✓	70.4%	(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
	68.8%	(/.f64 x (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))))
	67.6%	(/.f64 x (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (/.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)))))))
	70.2%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x))
✓	67.0%	(+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))) x)
✓	65.8%	(+.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) x)
	68.8%	(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))
	66.8%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/4 binary64)))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 x x))))) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/8 binary64))))))))
	66.0%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 x x))))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) #s(literal -1 binary64))))))
	66.8%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 x (.f64 x #s(literal -1/2 binary64)))))) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/8 binary64))))))))
	66.0%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal -1/8 binary64)))) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64))))))))
	66.8%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/8 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -17/48 binary64))))))) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/8 binary64))))))))
	65.8%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/4 binary64))))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))) #s(literal -1 binary64))))))
	66.9%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal -1/8 binary64) (.f64 x x)))) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/8 binary64))))))))
✓	12.6%	(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)))
✓	65.3%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) (.f64 x #s(literal 1/4 binary64))))))
✓	65.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))))))
✓	100.0%	(log1p.f64 x)
✓	39.2%	(log.f64 (+.f64 #s(literal 1 binary64) x))
✓	66.9%	x
	7.4%	#s(literal 2 binary64)

Compiler

Compiled 1308 to 495 computations (62.2% saved)

regimes33.0ms (0.3%)

Counts

33 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) (.f64 x #s(literal 1/4 binary64))))))
(/.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 (.f64 x (*.f64 x #s(literal -1/12 binary64))) #s(literal 1 binary64))))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))))))
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))
(/.f64 x (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 x (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/4 binary64))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)))
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal -1/8 binary64) (.f64 x x)))) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/8 binary64))))))))
(/.f64 x (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (/.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 x (/.f64 #s(literal 1 binary64) (/.f64 (+.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 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal -1/8 binary64)))) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64))))))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/8 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -17/48 binary64))))))) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/8 binary64))))))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/4 binary64))))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))) #s(literal -1 binary64))))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/4 binary64))))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) #s(literal -1 binary64))))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 x (.f64 x #s(literal -1/2 binary64)))))) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/8 binary64))))))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/4 binary64)))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 x x))))) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/8 binary64))))))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 x x))))) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/8 binary64))))))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 x x))))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) #s(literal -1 binary64))))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 x x))))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) #s(literal -1 binary64))))))
(log1p.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) x))

Outputs
(log1p.f64 x)

Calls

3 calls:

13.0ms	x
8.0ms	(+.f64 #s(literal 1 binary64) x)
7.0ms	(log.f64 (+.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
100.0%	1	`(+.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes11.0ms (0.1%)

Counts

31 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) (.f64 x #s(literal 1/4 binary64))))))
(/.f64 x (+.f64 (.f64 x #s(literal 1/2 binary64)) (+.f64 (.f64 x (*.f64 x #s(literal -1/12 binary64))) #s(literal 1 binary64))))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))))))
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))
(/.f64 x (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 x (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/4 binary64))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)))
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal -1/8 binary64) (.f64 x x)))) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/8 binary64))))))))
(/.f64 x (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (/.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 x (/.f64 #s(literal 1 binary64) (/.f64 (+.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 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal -1/8 binary64)))) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64))))))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/8 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -17/48 binary64))))))) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/8 binary64))))))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/4 binary64))))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/3 binary64)))) #s(literal -1 binary64))))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/4 binary64))))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) #s(literal -1 binary64))))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 x (.f64 x #s(literal -1/2 binary64)))))) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/8 binary64))))))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/4 binary64)))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 x x))))) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/8 binary64))))))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 x x))))) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/8 binary64))))))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 x x))))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) #s(literal -1 binary64))))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))) (.f64 x x))))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64)))))) #s(literal -1 binary64))))))

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
70.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
70.3%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
70.3%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 2

Calls

Call 1

Inputs
#s(literal 2 binary64)
x

Outputs
x
#s(literal 2 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
69.9%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)

Outputs
#s(literal 2 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
7.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch34.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
33.0ms	0.0029187935857801204	1.8382751676179507

Results

29.0ms

128×

valid

Compiler

Compiled 105 to 79 computations (24.8% saved)

Precisions

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

ival-add: 1.0ms (42.5% of total)

ival-log: 1.0ms (42.5% of total)

const: 0.0ms (0% of total)

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

bsearch11.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.0029187935857801204	1.8382751676179507

Results

6.0ms

128×

valid

Compiler

Compiled 105 to 87 computations (17.1% saved)

Precisions

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

ival-add: 1.0ms (41.6% of total)

ival-log: 1.0ms (41.6% of total)

const: 0.0ms (0% of total)

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

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.8382751676179507	141477433.22400227

Results

7.0ms

144×

valid

Compiler

Compiled 63 to 52 computations (17.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-log: 2.0ms (73.2% of total)

ival-add: 1.0ms (36.6% of total)

const: 0.0ms (0% of total)

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
6×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	40
1	30	40

Stop Event

1×

saturated

Calls

Call 1

Inputs
(log1p.f64 x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 6530219459687219/4503599627370496 binary64)) (+.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) x) #s(literal 2 binary64))
(if (<=.f64 x #s(literal 6530219459687219/4503599627370496 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(if (<=.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
(log1p.f64 x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal 6530219459687219/4503599627370496 binary64)) (+.f64 (.f64 x (.f64 x #s(literal -1/2 binary64))) x) #s(literal 2 binary64))
(if (<=.f64 x #s(literal 6530219459687219/4503599627370496 binary64)) (+.f64 x (.f64 x (.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(if (<=.f64 x #s(literal 6530219459687219/4503599627370496 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(if (<=.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64))
#s(literal 2 binary64)

soundness3.2s (29.9%)

Rules

4438×	`-lowering-.f32`
4438×	`-lowering-.f64`
4232×	`-lowering-.f32`
4232×	`-lowering-.f64`
3810×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	2
1	8	2
0	8	2
0	62	296
1	188	252
2	458	240
3	1230	236
4	3932	236
0	8232	236
0	372	2357
1	1160	2142
2	3065	2068
0	8438	2068
0	266	2249
1	806	2027
2	2316	1990
3	7049	1986
0	8247	1986
0	20	110
1	137	90
2	1288	87
0	8126	87

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×	saturated

Compiler

Compiled 183 to 128 computations (30.1% saved)

preprocess45.0ms (0.4%)

Compiler: Compiled 132 to 66 computations (50% saved)

analyze3.0ms (0%)

sample1.8s (17.4%)

preprocess16.0ms (0.1%)

explain140.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0%)

localize342.0ms (3.2%)

series4.0ms (0%)

rewrite321.0ms (3%)

simplify214.0ms (2%)

eval186.0ms (1.8%)

prune53.0ms (0.5%)

simplify48.0ms (0.5%)

localize110.0ms (1%)

series13.0ms (0.1%)

rewrite365.0ms (3.4%)

simplify253.0ms (2.4%)

eval143.0ms (1.4%)

prune77.0ms (0.7%)

simplify210.0ms (2%)

localize233.0ms (2.2%)

series16.0ms (0.1%)

rewrite630.0ms (5.9%)

simplify247.0ms (2.3%)

eval180.0ms (1.7%)

prune120.0ms (1.1%)

simplify243.0ms (2.3%)

localize349.0ms (3.3%)

series20.0ms (0.2%)

rewrite331.0ms (3.1%)

simplify282.0ms (2.6%)

eval172.0ms (1.6%)

prune116.0ms (1.1%)

regimes33.0ms (0.3%)

regimes11.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

bsearch34.0ms (0.3%)

bsearch11.0ms (0.1%)

bsearch14.0ms (0.1%)

simplify7.0ms (0.1%)

soundness3.2s (29.9%)

preprocess45.0ms (0.4%)

end0.0ms (0%)

Profiling