Metrics for expm1 (example 3.7)

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
100%	50%	0%	50%	0%	0%	0%	1

Compiler

Compiled 9 to 7 computations (22.2% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

ival-<=: 0.0ms (0% of total)

sample1.6s (13%)

Results

1.3s	7978×	1	valid
17.0ms	278×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 978.0ms

ival-exp: 608.0ms (62.2% of total)

backward-pass: 143.0ms (14.6% of total)

ival-sub: 108.0ms (11% of total)

ival-fabs: 62.0ms (6.3% of total)

ival-<=: 44.0ms (4.5% of total)

const: 13.0ms (1.3% of total)

Bogosity

preprocess13.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

28×	`sub-neg`
20×	`+-commutative`
10×	`*-commutative`
10×	`associate--r+`
8×	`--rgt-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	19	15
2	38	14
3	57	14
4	73	14
5	93	14
6	111	14
7	126	14
8	138	14
9	142	14
10	143	14
0	4	4
1	9	4
2	10	4
0	10	2

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- (exp x) 1)

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

Call 2

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

Outputs
(- (exp x) 1)
(+ (exp x) -1)
(- (exp (neg x)) 1)
(+ (exp (neg x)) -1)
(neg (- (exp (neg x)) 1))
(- 1 (exp (neg x)))

explain103.0ms (0.8%)

FPErrors

Click to see full error table

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

Results

78.0ms	500×	1	valid
1.0ms	12×	0	valid

Compiler

Compiled 25 to 16 computations (36% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-exp: 36.0ms (69.6% of total)

backward-pass: 8.0ms (15.5% of total)

ival-sub: 6.0ms (11.6% of total)

const: 1.0ms (1.9% 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%	(expm1.f64 x)

Compiler

Compiled 3 to 2 computations (33.3% saved)

localize46.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(expm1.f64 x)
✓	accuracy	100.0%	(expm1.f64 x)

Rules

4×	`+-lowering-+.f64`
4×	`+-lowering-+.f32`
2×	`accelerator-lowering-expm1.f32`
2×	`exp-lowering-exp.f32`
2×	`accelerator-lowering-expm1.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	9	5
2	10	5
0	10	3

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (exp x) 1)
x

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

Results

31.0ms	249×	5	exit
0.0ms	6×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 5 to 3 computations (40% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

backward-pass: 6.0ms (42.8% of total)

<compiled-spec>: 4.0ms (28.5% of total)

ival-exp: 2.0ms (14.3% of total)

ival-sub: 1.0ms (7.1% of total)

const: 0.0ms (0% of total)

series1.0ms (0%)

Counts

1 → 12

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite107.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

594×	`accelerator-lowering-fma.f32`
594×	`accelerator-lowering-fma.f64`
574×	`/-lowering-/.f32`
574×	`/-lowering-/.f64`
536×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	22	4
2	128	4
0	1139	2

Stop Event

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

Counts

1 → 81

Calls

Call 1

Inputs
(- (exp x) 1)

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

simplify48.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1068×	`accelerator-lowering-fma.f32`
1068×	`accelerator-lowering-fma.f64`
336×	`-lowering-.f32`
336×	`-lowering-.f64`
232×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	66
1	71	66
2	150	66
3	337	66
4	524	66
5	618	66
6	623	66
0	623	44

Stop Event

1×	iter limit
1×	saturated

Counts

12 → 12

Calls

Call 1

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

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

eval24.0ms (0.2%)

Compiler: Compiled 1827 to 1331 computations (27.1% saved)

prune19.0ms (0.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	89	4	93
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	89	5	94

Accuracy

100.0%

Counts

94 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
▶	99.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
▶	99.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
✓	100.0%	(expm1.f64 x)
▶	98.7%	x

Compiler

Compiled 41 to 30 computations (26.8% saved)

localize241.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 22 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 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))))
✓	accuracy	100.0%	(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
✓	accuracy	99.5%	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 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))))

Rules

1068×	`accelerator-lowering-fma.f32`
1068×	`accelerator-lowering-fma.f64`
336×	`-lowering-.f32`
336×	`-lowering-.f64`
230×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	118
1	66	118
2	145	118
3	329	118
4	516	118
5	612	118
6	617	118
0	617	98

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

109.0ms

256×

valid

Compiler

Compiled 128 to 95 computations (25.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-mult: 51.0ms (65.5% of total)

ival-add: 23.0ms (29.5% of total)

const: 4.0ms (5.1% of total)

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

series26.0ms (0.2%)

Counts

15 → 180

Calls

Call 1

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

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

Calls

45 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(* x 1/6)
1.0ms	x	@	0	(* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))
1.0ms	x	@	0	(* x (+ 1/2 (* x 1/6)))
1.0ms	x	@	-inf	(* x (+ 1 (* x 1/2)))
1.0ms	x	@	inf	(* x (+ 1 (* x 1/2)))

rewrite701.0ms (5.7%)

Algorithm

1×	batch-egg-rewrite

Rules

5558×	`accelerator-lowering-fma.f32`
5558×	`accelerator-lowering-fma.f64`
4506×	`-lowering-.f32`
4506×	`-lowering-.f64`
4104×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	113
1	137	113
2	1191	113
0	8251	93

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 570

Calls

Call 1

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

Outputs
(+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(fma.f64 x #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1 binary64) x (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(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 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x))))) (+.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 #s(literal 1/2 binary64) (.f64 x x))) (-.f64 (.f64 x x) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (*.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 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 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x))))))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(/.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 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))))) (neg.f64 (-.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(/.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))))))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x 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))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))) x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) x))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x x)) (-.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) 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 #s(literal 1 binary64) (+.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)))))
(.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 #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 #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 #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 #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))
(+.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)))) (neg.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.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)))) (/.f64 (.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 1/4 binary64) (.f64 x x)) (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) (neg.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64))))))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(neg.f64 (/.f64 (+.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)))))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.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))))))
(neg.f64 (/.f64 (neg.f64 (-.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(/.f64 (+.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 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.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))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
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(/.f64 (neg.f64 (+.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))) #s(literal -1/8 binary64))) (neg.f64 (+.f64 #s(literal -1/4 binary64) (neg.f64 (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (+.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/4 binary64) (neg.f64 (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))))))) (neg.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (.f64 x (+.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)))))))
(/.f64 (neg.f64 (+.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))) #s(literal -1/4 binary64))) (neg.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal -1/2 binary64))))
(/.f64 (+.f64 (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x))) (pow.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (-.f64 (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (.f64 x (.f64 x x)))) (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))) (-.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 x #s(literal 1/24 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)))))) (+.f64 (.f64 (/.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))))) (/.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)))))) (.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))))) (/.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)))))))))
(/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) (-.f64 (.f64 x #s(literal 1/6 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 x #s(literal 1/24 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)))))) (.f64 (/.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))))) (/.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))))))) (+.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))))) (/.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (+.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) #s(literal -1/2 binary64))))))
(.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (*.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))))))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64))))))
(.f64 (+.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/4 binary64) (neg.f64 (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (+.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) #s(literal -1/2 binary64)))))))
(.f64 (+.f64 #s(literal -1/4 binary64) (neg.f64 (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (neg.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/24 binary64)) #s(literal -1/6 binary64)))))))
(.f64 (+.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x x))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) #s(literal -1/2 binary64))))

simplify851.0ms (7%)

Algorithm

1×	egg-herbie

Rules

14770×	`accelerator-lowering-fma.f32`
14770×	`accelerator-lowering-fma.f64`
3820×	`-lowering-.f32`
3820×	`-lowering-.f64`
1808×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	1090
1	302	1090
2	842	1090
3	3244	1086
4	5630	1086
0	8549	936

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

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

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

eval228.0ms (1.9%)

Compiler: Compiled 22221 to 15335 computations (31% saved)

prune110.0ms (0.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	747	3	750
Fresh	0	0	0
Picked	1	3	4
Done	1	0	1
Total	749	6	755

Accuracy

100.0%

Counts

755 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (*.f64 x x)) x)
▶	99.7%	(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
▶	100.0%	(.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal -1 binary64))))))
✓	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
✓	99.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
✓	98.7%	x

Compiler

Compiled 114 to 84 computations (26.3% saved)

localize2.3s (18.9%)

Algorithm

1×	egg-herbie

Localize:

Found 22 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x #s(literal 1/6 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (*.f64 x x))
✓	cost-diff	0	(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (*.f64 x x)) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 x x))
✓	cost-diff	0	(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
✓	cost-diff	0	(.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) #s(literal -1 binary64)))))
✓	cost-diff	0	(.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal -1 binary64))))))
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (*.f64 x x))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	100.0%	(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 x x))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
✓	accuracy	99.9%	(.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
✓	accuracy	99.5%	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/24 binary64))

Rules

25530×	`accelerator-lowering-fma.f32`
25530×	`accelerator-lowering-fma.f64`
5268×	`+-lowering-+.f64`
5268×	`+-lowering-+.f32`
3374×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	397
1	77	309
2	272	309
3	1293	309
4	2904	309
5	4585	309
6	6338	309
0	8443	255

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

Results

481.0ms	255×	0	valid
3.0ms	1×	2	valid

Compiler

Compiled 407 to 297 computations (27% saved)

Precisions

Click to see histograms. Total time spent on operations: 422.0ms

ival-mult: 233.0ms (55.2% of total)

ival-add: 174.0ms (41.2% of total)

const: 11.0ms (2.6% of total)

ival-div: 4.0ms (0.9% of total)

backward-pass: 1.0ms (0.2% of total)

series19.0ms (0.2%)

Counts

14 → 168

Calls

Call 1

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

Outputs
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/8 (pow x 3))>
#<alt (* (pow x 3) (+ 1/8 (* 1/8 x)))>
#<alt (* (pow x 3) (+ 1/8 (* x (+ 1/8 (* 7/96 x)))))>
#<alt (* (pow x 3) (+ 1/8 (* x (+ 1/8 (* x (+ 7/96 (* 11/432 x)))))))>
#<alt (* 1/13824 (pow x 9))>
#<alt (* (pow x 9) (+ 1/13824 (* 1/1152 (/ 1 x))))>
#<alt (* (pow x 9) (+ 1/13824 (+ (/ 7/1152 (pow x 2)) (* 1/1152 (/ 1 x)))))>
#<alt (* (pow x 9) (+ 1/13824 (+ (/ 7/1152 (pow x 2)) (+ (* 1/1152 (/ 1 x)) (* 11/432 (/ 1 (pow x 3)))))))>
#<alt (* 1/13824 (pow x 9))>
#<alt (* (pow x 9) (+ 1/13824 (* 1/1152 (/ 1 x))))>
#<alt (* -1 (* (pow x 9) (- (* -1 (/ (+ 1/1152 (* 7/1152 (/ 1 x))) x)) 1/13824)))>
#<alt (* -1 (* (pow x 9) (- (* -1 (/ (+ 1/1152 (+ (/ 11/432 (pow x 2)) (* 7/1152 (/ 1 x)))) x)) 1/13824)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/6 x)))>
#<alt (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))>
#<alt (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* 1/2 (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 (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 (* 1/2 x)))>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* 1/6 x)))>
#<alt (* (pow x 2) (+ 1/2 (* 1/6 x)))>
#<alt (* (pow x 2) (+ 1/2 (* 1/6 x)))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<alt 1>
#<alt (+ 1 (* 1/8 (pow x 3)))>
#<alt (+ 1 (* (pow x 3) (+ 1/8 (* 1/8 x))))>
#<alt (+ 1 (* (pow x 3) (+ 1/8 (* x (+ 1/8 (* 7/96 x))))))>
#<alt (* 1/13824 (pow x 9))>
#<alt (* (pow x 9) (+ 1/13824 (* 1/1152 (/ 1 x))))>
#<alt (* (pow x 9) (+ 1/13824 (+ (/ 7/1152 (pow x 2)) (* 1/1152 (/ 1 x)))))>
#<alt (* (pow x 9) (+ 1/13824 (+ (/ 7/1152 (pow x 2)) (+ (* 1/1152 (/ 1 x)) (* 11/432 (/ 1 (pow x 3)))))))>
#<alt (* 1/13824 (pow x 9))>
#<alt (* (pow x 9) (+ 1/13824 (* 1/1152 (/ 1 x))))>
#<alt (* -1 (* (pow x 9) (- (* -1 (/ (+ 1/1152 (* 7/1152 (/ 1 x))) x)) 1/13824)))>
#<alt (* -1 (* (pow x 9) (- (* -1 (/ (+ 1/1152 (+ (/ 11/432 (pow x 2)) (* 7/1152 (/ 1 x)))) x)) 1/13824)))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))>

Calls

42 calls:

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

rewrite664.0ms (5.4%)

Algorithm

1×	batch-egg-rewrite

Rules

5542×	`accelerator-lowering-fma.f32`
5542×	`accelerator-lowering-fma.f64`
4192×	`/-lowering-/.f32`
4192×	`/-lowering-/.f64`
3638×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	268
1	178	180
2	1623	120
0	8345	104

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 449

Calls

Call 1

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

Outputs
(*.f64 x #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) x)
(+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (*.f64 x #s(literal 1/6 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x #s(literal 1/24 binary64))))) (/.f64 (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (*.f64 x #s(literal 1/24 binary64))))))
(fma.f64 x (.f64 x #s(literal 1/24 binary64)) (.f64 x #s(literal 1/6 binary64)))
(fma.f64 x #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))
(fma.f64 #s(literal 1/24 binary64) (.f64 x x) (.f64 x #s(literal 1/6 binary64)))
(fma.f64 (.f64 x #s(literal 1/24 binary64)) x (.f64 x #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) x (.f64 x (.f64 x #s(literal 1/24 binary64))))
(fma.f64 (.f64 x x) #s(literal 1/24 binary64) (.f64 x #s(literal 1/6 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x #s(literal 1/24 binary64)))))) (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (.f64 x (.f64 x #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))) (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x)) (.f64 x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))) (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x)) (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x)))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x #s(literal 1/24 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (.f64 x (.f64 x #s(literal 1/24 binary64))))) (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x #s(literal 1/24 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x)))
(/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x)))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (neg.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x #s(literal 1/24 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (.f64 x (.f64 x #s(literal 1/24 binary64)))))) (neg.f64 (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x #s(literal 1/24 binary64))))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/576 binary64))) x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/24 binary64) x))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64))) (+.f64 (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (.f64 x #s(literal 1/6 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 (.f64 x x) #s(literal 1/36 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (.f64 x #s(literal 1/6 binary64))))
(.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))
(.f64 (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) x)
(.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (.f64 x (.f64 x #s(literal 1/24 binary64)))) (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (*.f64 x #s(literal 1/24 binary64))))))))
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(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))) (neg.f64 (-.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))) x)) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))) x)) (/.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))) x))) (+.f64 (.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))) x))) (.f64 (/.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) x))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))) x)) (/.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))) x))) (.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))) x)))) (+.f64 (/.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))) x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64)) x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64)) x))
(.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))) (.f64 x (-.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))))
(.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 x x)))))))
(.f64 (.f64 (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64)) x) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) x)))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))) (.f64 x (-.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64)) x) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) x))))
(.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))))
(.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64)) x)

simplify916.0ms (7.5%)

Algorithm

1×	egg-herbie

Rules

18286×	`accelerator-lowering-fma.f32`
18286×	`accelerator-lowering-fma.f64`
4110×	`-lowering-.f32`
4110×	`-lowering-.f64`
2806×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	1188
1	440	1188
2	1239	1186
3	3871	1176
4	6453	1156
0	8353	1052

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/6 x)
(* x (+ 1/6 (* 1/24 x)))
(* x (+ 1/6 (* 1/24 x)))
(* x (+ 1/6 (* 1/24 x)))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/8 (pow x 3))
(* (pow x 3) (+ 1/8 (* 1/8 x)))
(* (pow x 3) (+ 1/8 (* x (+ 1/8 (* 7/96 x)))))
(* (pow x 3) (+ 1/8 (* x (+ 1/8 (* x (+ 7/96 (* 11/432 x)))))))
(* 1/13824 (pow x 9))
(* (pow x 9) (+ 1/13824 (* 1/1152 (/ 1 x))))
(* (pow x 9) (+ 1/13824 (+ (/ 7/1152 (pow x 2)) (* 1/1152 (/ 1 x)))))
(* (pow x 9) (+ 1/13824 (+ (/ 7/1152 (pow x 2)) (+ (* 1/1152 (/ 1 x)) (* 11/432 (/ 1 (pow x 3)))))))
(* 1/13824 (pow x 9))
(* (pow x 9) (+ 1/13824 (* 1/1152 (/ 1 x))))
(* -1 (* (pow x 9) (- (* -1 (/ (+ 1/1152 (* 7/1152 (/ 1 x))) x)) 1/13824)))
(* -1 (* (pow x 9) (- (* -1 (/ (+ 1/1152 (+ (/ 11/432 (pow x 2)) (* 7/1152 (/ 1 x)))) x)) 1/13824)))
(* 1/2 x)
(* x (+ 1/2 (* 1/6 x)))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* 1/2 (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))
(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 (* 1/2 x)))
(* x (+ 1 (* 1/2 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 1/6 x)))
(* (pow x 2) (+ 1/2 (* 1/6 x)))
(* (pow x 2) (+ 1/2 (* 1/6 x)))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* 1/6 x))
(+ 1/2 (* 1/6 x))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
1
(+ 1 (* 1/8 (pow x 3)))
(+ 1 (* (pow x 3) (+ 1/8 (* 1/8 x))))
(+ 1 (* (pow x 3) (+ 1/8 (* x (+ 1/8 (* 7/96 x))))))
(* 1/13824 (pow x 9))
(* (pow x 9) (+ 1/13824 (* 1/1152 (/ 1 x))))
(* (pow x 9) (+ 1/13824 (+ (/ 7/1152 (pow x 2)) (* 1/1152 (/ 1 x)))))
(* (pow x 9) (+ 1/13824 (+ (/ 7/1152 (pow x 2)) (+ (* 1/1152 (/ 1 x)) (* 11/432 (/ 1 (pow x 3)))))))
(* 1/13824 (pow x 9))
(* (pow x 9) (+ 1/13824 (* 1/1152 (/ 1 x))))
(* -1 (* (pow x 9) (- (* -1 (/ (+ 1/1152 (* 7/1152 (/ 1 x))) x)) 1/13824)))
(* -1 (* (pow x 9) (- (* -1 (/ (+ 1/1152 (+ (/ 11/432 (pow x 2)) (* 7/1152 (/ 1 x)))) x)) 1/13824)))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))

Outputs
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 1/24 x)))
(.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* 1/24 x)))
(.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* 1/24 x)))
(.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))
(* 1/8 (pow x 3))
(.f64 (.f64 x x) (*.f64 x #s(literal 1/8 binary64)))
(* (pow x 3) (+ 1/8 (* 1/8 x)))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal 1/8 binary64)))))
(* (pow x 3) (+ 1/8 (* x (+ 1/8 (* 7/96 x)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/8 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal 7/96 binary64))))))
(* (pow x 3) (+ 1/8 (* x (+ 1/8 (* x (+ 7/96 (* 11/432 x)))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/8 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x (+.f64 #s(literal 7/96 binary64) (.f64 x #s(literal 11/432 binary64))))))))
(* 1/13824 (pow x 9))
(*.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 9 binary64)))
(* (pow x 9) (+ 1/13824 (* 1/1152 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/13824 binary64) (/.f64 #s(literal 1/1152 binary64) x)))
(* (pow x 9) (+ 1/13824 (+ (/ 7/1152 (pow x 2)) (* 1/1152 (/ 1 x)))))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/13824 binary64) (/.f64 (+.f64 #s(literal 1/1152 binary64) (/.f64 #s(literal 7/1152 binary64) x)) x)))
(* (pow x 9) (+ 1/13824 (+ (/ 7/1152 (pow x 2)) (+ (* 1/1152 (/ 1 x)) (* 11/432 (/ 1 (pow x 3)))))))
(.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 1/1152 binary64) (/.f64 #s(literal 7/1152 binary64) x)) x) (+.f64 #s(literal 1/13824 binary64) (/.f64 #s(literal 11/432 binary64) (.f64 x (*.f64 x x))))))
(* 1/13824 (pow x 9))
(*.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 9 binary64)))
(* (pow x 9) (+ 1/13824 (* 1/1152 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/13824 binary64) (/.f64 #s(literal 1/1152 binary64) x)))
(* -1 (* (pow x 9) (- (* -1 (/ (+ 1/1152 (* 7/1152 (/ 1 x))) x)) 1/13824)))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/13824 binary64) (/.f64 (+.f64 #s(literal 1/1152 binary64) (/.f64 #s(literal 7/1152 binary64) x)) x)))
(* -1 (* (pow x 9) (- (* -1 (/ (+ 1/1152 (+ (/ 11/432 (pow x 2)) (* 7/1152 (/ 1 x)))) x)) 1/13824)))
(.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/13824 binary64) (/.f64 (+.f64 (/.f64 #s(literal 7/1152 binary64) x) (+.f64 #s(literal 1/1152 binary64) (/.f64 #s(literal 11/432 binary64) (.f64 x x)))) x)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/6 x)))
(.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(.f64 x (+.f64 (.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(.f64 x (+.f64 (.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (+.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 x (+.f64 (.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 x (+.f64 (.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (+.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(.f64 x (+.f64 (.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(.f64 x (+.f64 (.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
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 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* 1/6 x)))
(.f64 x (.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(* (pow x 2) (+ 1/2 (* 1/6 x)))
(.f64 x (.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(* (pow x 2) (+ 1/2 (* 1/6 x)))
(.f64 x (.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(* 1/6 (pow x 3))
(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(.f64 x (.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(.f64 x (.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(.f64 x (.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(* 1/6 (pow x 3))
(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(.f64 x (.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(.f64 x (.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(.f64 x (.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 x))
(+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 x))
(+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 x))
(+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 1/6 binary64)) #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 (+ 1/2 (* 1/6 x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))))
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) (.f64 (.f64 x x) (.f64 x x)))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(+.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))))
(* 1/24 (pow x 4))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) (.f64 (.f64 x x) (.f64 x x)))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
(+.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 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 (* 1/6 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (+.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 x (+.f64 (.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))))
(* 1/24 (pow x 3))
(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (+.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(.f64 x (+.f64 (.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (pow x 3)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (*.f64 x #s(literal 1/8 binary64))))
(+ 1 (* (pow x 3) (+ 1/8 (* 1/8 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal 1/8 binary64))))))
(+ 1 (* (pow x 3) (+ 1/8 (* x (+ 1/8 (* 7/96 x))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/8 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal 7/96 binary64)))))))
(* 1/13824 (pow x 9))
(*.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 9 binary64)))
(* (pow x 9) (+ 1/13824 (* 1/1152 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/13824 binary64) (/.f64 #s(literal 1/1152 binary64) x)))
(* (pow x 9) (+ 1/13824 (+ (/ 7/1152 (pow x 2)) (* 1/1152 (/ 1 x)))))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/13824 binary64) (/.f64 (+.f64 #s(literal 1/1152 binary64) (/.f64 #s(literal 7/1152 binary64) x)) x)))
(* (pow x 9) (+ 1/13824 (+ (/ 7/1152 (pow x 2)) (+ (* 1/1152 (/ 1 x)) (* 11/432 (/ 1 (pow x 3)))))))
(.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 1/1152 binary64) (/.f64 #s(literal 7/1152 binary64) x)) x) (+.f64 #s(literal 1/13824 binary64) (/.f64 #s(literal 11/432 binary64) (.f64 x (*.f64 x x))))))
(* 1/13824 (pow x 9))
(*.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 9 binary64)))
(* (pow x 9) (+ 1/13824 (* 1/1152 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/13824 binary64) (/.f64 #s(literal 1/1152 binary64) x)))
(* -1 (* (pow x 9) (- (* -1 (/ (+ 1/1152 (* 7/1152 (/ 1 x))) x)) 1/13824)))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/13824 binary64) (/.f64 (+.f64 #s(literal 1/1152 binary64) (/.f64 #s(literal 7/1152 binary64) x)) x)))
(* -1 (* (pow x 9) (- (* -1 (/ (+ 1/1152 (+ (/ 11/432 (pow x 2)) (* 7/1152 (/ 1 x)))) x)) 1/13824)))
(.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/13824 binary64) (/.f64 (+.f64 (/.f64 #s(literal 7/1152 binary64) x) (+.f64 #s(literal 1/1152 binary64) (/.f64 #s(literal 11/432 binary64) (.f64 x 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 (+ 1/2 (* 1/6 x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(* 1/6 (pow x 3))
(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(.f64 x (.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(* 1/6 (pow x 3))
(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(.f64 x (.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))

eval796.0ms (6.5%)

Compiler: Compiled 71938 to 52270 computations (27.3% saved)

prune175.0ms (1.4%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	1052	1	1053
Fresh	0	0	0
Picked	1	2	3
Done	0	3	3
Total	1053	6	1059

Accuracy

100.0%

Counts

1059 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (*.f64 x x)) x)
✓	99.7%	(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
▶	100.0%	(.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal 1/8 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) #s(literal -1 binary64))))))
✓	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
✓	99.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
✓	98.7%	x

Compiler

Compiled 90 to 65 computations (27.8% saved)

localize1.5s (12.1%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal 1/8 binary64)))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal 1/8 binary64))))))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal 1/8 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal -1 binary64)))))
✓	cost-diff	0	(.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal 1/8 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) #s(literal -1 binary64))))))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
✓	accuracy	99.9%	(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal 1/8 binary64)))))
✓	accuracy	99.5%	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/24 binary64))

Rules

17960×	`accelerator-lowering-fma.f32`
17960×	`accelerator-lowering-fma.f64`
4002×	`+-lowering-+.f64`
4002×	`+-lowering-+.f32`
3782×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	235
1	72	227
2	268	227
3	849	225
4	3901	225
5	5079	225
0	8081	184

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x (/ (+ 1 (* x (* (* x x) (+ 1/8 (* x 1/8))))) (+ 1 (* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (+ (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) -1)))))
x
(/ (+ 1 (* x (* (* x x) (+ 1/8 (* x 1/8))))) (+ 1 (* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (+ (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) -1))))
(+ 1 (* x (* (* x x) (+ 1/8 (* x 1/8)))))
1
(* x (* (* x x) (+ 1/8 (* x 1/8))))
(* (* x x) (+ 1/8 (* x 1/8)))
(* x x)
(+ 1/8 (* x 1/8))
1/8
(* x 1/8)
(+ 1 (* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (+ (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) -1)))
(* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (+ (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) -1))
(* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))
(+ 1/2 (* x (+ 1/6 (* x 1/24))))
1/2
(* x (+ 1/6 (* x 1/24)))
(+ 1/6 (* x 1/24))
1/6
(* x 1/24)
1/24
(+ (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) -1)
-1

Outputs
(* x (/ (+ 1 (* x (* (* x x) (+ 1/8 (* x 1/8))))) (+ 1 (* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (+ (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) -1)))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal 1/8 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))))
x
(/ (+ 1 (* x (* (* x x) (+ 1/8 (* x 1/8))))) (+ 1 (* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (+ (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) -1))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal 1/8 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))))
(+ 1 (* x (* (* x x) (+ 1/8 (* x 1/8)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal 1/8 binary64))))))
1
#s(literal 1 binary64)
(* x (* (* x x) (+ 1/8 (* x 1/8))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal 1/8 binary64)))))
(* (* x x) (+ 1/8 (* x 1/8)))
(.f64 x (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal 1/8 binary64)))))
(* x x)
(*.f64 x x)
(+ 1/8 (* x 1/8))
(+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal 1/8 binary64)))
1/8
#s(literal 1/8 binary64)
(* x 1/8)
(*.f64 x #s(literal 1/8 binary64))
(+ 1 (* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (+ (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) -1)))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (+ (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) -1))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x (+.f64 (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))
(.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal -1/2 binary64)))
(+ 1/2 (* x (+ 1/6 (* x 1/24))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))
1/2
#s(literal 1/2 binary64)
(* x (+ 1/6 (* x 1/24)))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
(+ 1/6 (* x 1/24))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
1/6
#s(literal 1/6 binary64)
(* x 1/24)
(*.f64 x #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)
(+ (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) -1)
(+.f64 (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal -1/2 binary64))) #s(literal -1 binary64))
-1
#s(literal -1 binary64)

Results

203.0ms

256×

valid

Compiler

Compiled 237 to 171 computations (27.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 168.0ms

ival-mult: 104.0ms (61.9% of total)

ival-add: 54.0ms (32.1% of total)

const: 7.0ms (4.2% of total)

ival-div: 3.0ms (1.8% of total)

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

series13.0ms (0.1%)

Counts

7 → 84

Calls

Call 1

Inputs
#<alt (* x 1/24)>
#<alt (* x (+ 1/6 (* x 1/24)))>
#<alt (* x (* (* x x) (+ 1/8 (* x 1/8))))>
#<alt (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))>
#<alt (* x (/ (+ 1 (* x (* (* x x) (+ 1/8 (* x 1/8))))) (+ 1 (* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (+ (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) -1)))))>
#<alt (/ (+ 1 (* x (* (* x x) (+ 1/8 (* x 1/8))))) (+ 1 (* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (+ (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) -1))))>
#<alt (+ 1 (* x (* (* x x) (+ 1/8 (* x 1/8)))))>

Outputs
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/8 (pow x 3))>
#<alt (* (pow x 3) (+ 1/8 (* 1/8 x)))>
#<alt (* (pow x 3) (+ 1/8 (* 1/8 x)))>
#<alt (* (pow x 3) (+ 1/8 (* 1/8 x)))>
#<alt (* 1/8 (pow x 4))>
#<alt (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 x))))>
#<alt (* 1/8 (pow x 4))>
#<alt (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 x))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/6 x)))>
#<alt (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))>
#<alt (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))>
#<alt (/ 72 x)>
#<alt (/ (- 72 (* 504 (/ 1 x))) x)>
#<alt (/ (- (+ 72 (/ 1152 (pow x 2))) (* 504 (/ 1 x))) x)>
#<alt (/ (- (+ 72 (+ (* 5760 (/ 1 (pow x 3))) (/ 1152 (pow x 2)))) (* 504 (/ 1 x))) x)>
#<alt (/ 72 x)>
#<alt (* -1 (/ (- (* 504 (/ 1 x)) 72) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1152 (/ 1 x)) 504) x)) 72) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* 1152 (/ 1 x)) (/ 5760 (pow x 2))) 504) x)) 72) x))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (/ 72 (pow x 2))>
#<alt (/ (- 72 (* 504 (/ 1 x))) (pow x 2))>
#<alt (/ (- (+ 72 (/ 1152 (pow x 2))) (* 504 (/ 1 x))) (pow x 2))>
#<alt (/ (- (+ 72 (+ (* 5760 (/ 1 (pow x 3))) (/ 1152 (pow x 2)))) (* 504 (/ 1 x))) (pow x 2))>
#<alt (/ 72 (pow x 2))>
#<alt (/ (- 72 (* 504 (/ 1 x))) (pow x 2))>
#<alt (/ (+ 72 (* -1 (/ (- 504 (* 1152 (/ 1 x))) x))) (pow x 2))>
#<alt (/ (+ 72 (* -1 (/ (+ 504 (* -1 (/ (+ 1152 (* 5760 (/ 1 x))) x))) x))) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* 1/8 (pow x 3)))>
#<alt (+ 1 (* (pow x 3) (+ 1/8 (* 1/8 x))))>
#<alt (+ 1 (* (pow x 3) (+ 1/8 (* 1/8 x))))>
#<alt (* 1/8 (pow x 4))>
#<alt (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/8 (+ (* 1/8 (/ 1 x)) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/8 (+ (* 1/8 (/ 1 x)) (/ 1 (pow x 4)))))>
#<alt (* 1/8 (pow x 4))>
#<alt (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/8 (+ (* 1/8 (/ 1 x)) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/8 (+ (* 1/8 (/ 1 x)) (/ 1 (pow x 4)))))>

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(* x (* (* x x) (+ 1/8 (* x 1/8))))
0.0ms	x	@	inf	(* x (* (* x x) (+ 1/8 (* x 1/8))))
0.0ms	x	@	0	(* x (* (* x x) (+ 1/8 (* x 1/8))))
0.0ms	x	@	inf	(+ 1 (* x (* (* x x) (+ 1/8 (* x 1/8)))))
0.0ms	x	@	inf	(* x (/ (+ 1 (* x (* (* x x) (+ 1/8 (* x 1/8))))) (+ 1 (* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (+ (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) -1)))))

rewrite761.0ms (6.2%)

Algorithm

1×	batch-egg-rewrite

Rules

7076×	`accelerator-lowering-fma.f32`
7076×	`accelerator-lowering-fma.f64`
4550×	`-lowering-.f32`
4550×	`-lowering-.f64`
3798×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	129
1	155	121
2	1416	121
0	9024	99

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 359

Calls

Call 1

Inputs
(* x 1/24)
(* x (+ 1/6 (* x 1/24)))
(* x (* (* x x) (+ 1/8 (* x 1/8))))
(* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))
(* x (/ (+ 1 (* x (* (* x x) (+ 1/8 (* x 1/8))))) (+ 1 (* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (+ (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) -1)))))
(/ (+ 1 (* x (* (* x x) (+ 1/8 (* x 1/8))))) (+ 1 (* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (+ (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) -1))))
(+ 1 (* x (* (* x x) (+ 1/8 (* x 1/8)))))

Outputs
(*.f64 x #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) x)
(+.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (*.f64 x #s(literal 1/6 binary64)))
(+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (*.f64 x #s(literal 1/24 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 #s(literal -1/24 binary64) (.f64 x x)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 #s(literal -1/24 binary64) (.f64 x x)))))
(fma.f64 x (.f64 x #s(literal 1/24 binary64)) (.f64 x #s(literal 1/6 binary64)))
(fma.f64 x #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/24 binary64))))
(fma.f64 #s(literal 1/24 binary64) (.f64 x x) (.f64 x #s(literal 1/6 binary64)))
(fma.f64 (.f64 x #s(literal 1/24 binary64)) x (.f64 x #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) x (.f64 x (.f64 x #s(literal 1/24 binary64))))
(fma.f64 (.f64 x x) #s(literal 1/24 binary64) (.f64 x #s(literal 1/6 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x #s(literal 1/24 binary64)))))) (+.f64 (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 #s(literal -1/24 binary64) (.f64 x x))) (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/576 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))) (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))) (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))) x)))
(/.f64 (+.f64 (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64)))) (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 #s(literal -1/24 binary64) (*.f64 x x))))
(/.f64 (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64)))) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))) x) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (*.f64 x #s(literal 1/24 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))))) (neg.f64 (+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 #s(literal -1/24 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))) x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x #s(literal 1/24 binary64)) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/576 binary64))) x)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) (.f64 x (.f64 x x))) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (*.f64 x #s(literal 1/6 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/576 binary64))) (.f64 (.f64 x x) #s(literal 1/36 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/24 binary64))) (*.f64 x #s(literal 1/6 binary64))))
(.f64 x (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))
(.f64 (+.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) x)
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(fma.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal 1/8 binary64))))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal 1/8 binary64))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 x #s(literal 1 binary64))) #s(literal -1/8 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/64 binary64) x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 x #s(literal 1 binary64))) #s(literal -1/8 binary64))))))
(fma.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal 1/8 binary64)))) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal 1/8 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) #s(literal 1/8 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/512 binary64) (.f64 #s(literal 1/512 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 x #s(literal 1/8 binary64)) (+.f64 (*.f64 x #s(literal 1/8 binary64)) #s(literal -1/8 binary64))))) #s(literal 1 binary64))
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(neg.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 x #s(literal 1 binary64))) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal 1/8 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal 1/8 binary64))))) #s(literal 1 binary64))) #s(literal 1 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal 1/8 binary64))))) #s(literal -1 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/64 binary64) x))))) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal 1/8 binary64))))) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal 1/8 binary64))))) (.f64 (.f64 x x) (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/64 binary64) x))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal 1/8 binary64))))) (+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal 1/8 binary64))))) #s(literal -1 binary64)))))
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal 1/8 binary64))))) (.f64 (.f64 x x) (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/64 binary64) x))))))))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal 1/8 binary64))))) (+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal 1/8 binary64))))) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/64 binary64) x)))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 x #s(literal 1 binary64))) #s(literal -1/8 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/64 binary64) x)))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 x #s(literal 1 binary64))) #s(literal -1/8 binary64))))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/64 binary64) x))))) #s(literal -1 binary64))) (neg.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal 1/8 binary64))))) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 x #s(literal 1 binary64))) #s(literal -1/8 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/64 binary64) x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 x #s(literal 1 binary64))) #s(literal -1/8 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 x #s(literal 1 binary64))) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 x #s(literal 1 binary64))) #s(literal -1/8 binary64))))) (+.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/64 binary64) x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 x #s(literal 1 binary64))) #s(literal -1/8 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/64 binary64) x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 x #s(literal 1 binary64))) #s(literal -1/8 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 x #s(literal 1 binary64))) #s(literal -1/8 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/64 binary64) x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) #s(literal -1/8 binary64))))))))
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(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal 1/8 binary64))))) #s(literal 1 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal 1/8 binary64))))) #s(literal 1 binary64)))
(.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal 1/8 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 x (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) #s(literal -1/8 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal 1/8 binary64))))) (.f64 (.f64 x x) (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/64 binary64) x))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal 1/8 binary64))))) (+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal 1/8 binary64))))) #s(literal -1 binary64))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal 1/8 binary64))))) (.f64 (.f64 x x) (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/64 binary64) x))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/64 binary64) x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 x #s(literal 1 binary64))) #s(literal -1/8 binary64))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/64 binary64) x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) #s(literal -1/8 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal 1/8 binary64))))) (.f64 (.f64 x x) (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/64 binary64) x)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal 1/8 binary64))))) (+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal 1/8 binary64))))) #s(literal -1 binary64)))))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/64 binary64) x))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) #s(literal -1/8 binary64))))))
(.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/64 binary64) x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal 1/8 binary64))))) #s(literal -1 binary64))))

simplify439.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

7770×	`accelerator-lowering-fma.f32`
7770×	`accelerator-lowering-fma.f64`
2566×	`-lowering-.f32`
2566×	`-lowering-.f64`
1792×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	114	676
1	345	660
2	831	660
3	2151	644
4	4835	644
0	8222	588

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

Inputs
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/6 x)
(* x (+ 1/6 (* 1/24 x)))
(* x (+ 1/6 (* 1/24 x)))
(* x (+ 1/6 (* 1/24 x)))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/8 (pow x 3))
(* (pow x 3) (+ 1/8 (* 1/8 x)))
(* (pow x 3) (+ 1/8 (* 1/8 x)))
(* (pow x 3) (+ 1/8 (* 1/8 x)))
(* 1/8 (pow x 4))
(* (pow x 4) (+ 1/8 (* 1/8 (/ 1 x))))
(* (pow x 4) (+ 1/8 (* 1/8 (/ 1 x))))
(* (pow x 4) (+ 1/8 (* 1/8 (/ 1 x))))
(* 1/8 (pow x 4))
(* (pow x 4) (+ 1/8 (* 1/8 (/ 1 x))))
(* (pow x 4) (+ 1/8 (* 1/8 (/ 1 x))))
(* (pow x 4) (+ 1/8 (* 1/8 (/ 1 x))))
(* 1/2 x)
(* x (+ 1/2 (* 1/6 x)))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(/ 72 x)
(/ (- 72 (* 504 (/ 1 x))) x)
(/ (- (+ 72 (/ 1152 (pow x 2))) (* 504 (/ 1 x))) x)
(/ (- (+ 72 (+ (* 5760 (/ 1 (pow x 3))) (/ 1152 (pow x 2)))) (* 504 (/ 1 x))) x)
(/ 72 x)
(* -1 (/ (- (* 504 (/ 1 x)) 72) x))
(* -1 (/ (- (* -1 (/ (- (* 1152 (/ 1 x)) 504) x)) 72) x))
(* -1 (/ (- (* -1 (/ (- (+ (* 1152 (/ 1 x)) (/ 5760 (pow x 2))) 504) x)) 72) x))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(/ 72 (pow x 2))
(/ (- 72 (* 504 (/ 1 x))) (pow x 2))
(/ (- (+ 72 (/ 1152 (pow x 2))) (* 504 (/ 1 x))) (pow x 2))
(/ (- (+ 72 (+ (* 5760 (/ 1 (pow x 3))) (/ 1152 (pow x 2)))) (* 504 (/ 1 x))) (pow x 2))
(/ 72 (pow x 2))
(/ (- 72 (* 504 (/ 1 x))) (pow x 2))
(/ (+ 72 (* -1 (/ (- 504 (* 1152 (/ 1 x))) x))) (pow x 2))
(/ (+ 72 (* -1 (/ (+ 504 (* -1 (/ (+ 1152 (* 5760 (/ 1 x))) x))) x))) (pow x 2))
1
(+ 1 (* 1/8 (pow x 3)))
(+ 1 (* (pow x 3) (+ 1/8 (* 1/8 x))))
(+ 1 (* (pow x 3) (+ 1/8 (* 1/8 x))))
(* 1/8 (pow x 4))
(* (pow x 4) (+ 1/8 (* 1/8 (/ 1 x))))
(* (pow x 4) (+ 1/8 (+ (* 1/8 (/ 1 x)) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/8 (+ (* 1/8 (/ 1 x)) (/ 1 (pow x 4)))))
(* 1/8 (pow x 4))
(* (pow x 4) (+ 1/8 (* 1/8 (/ 1 x))))
(* (pow x 4) (+ 1/8 (+ (* 1/8 (/ 1 x)) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/8 (+ (* 1/8 (/ 1 x)) (/ 1 (pow x 4)))))

Outputs
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 1/24 x)))
(.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* 1/24 x)))
(.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* 1/24 x)))
(.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)))
(* 1/8 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/8 binary64))))
(* (pow x 3) (+ 1/8 (* 1/8 x)))
(.f64 x (.f64 x (.f64 x (.f64 #s(literal 1/8 binary64) (+.f64 x #s(literal 1 binary64))))))
(* (pow x 3) (+ 1/8 (* 1/8 x)))
(.f64 x (.f64 x (.f64 x (.f64 #s(literal 1/8 binary64) (+.f64 x #s(literal 1 binary64))))))
(* (pow x 3) (+ 1/8 (* 1/8 x)))
(.f64 x (.f64 x (.f64 x (.f64 #s(literal 1/8 binary64) (+.f64 x #s(literal 1 binary64))))))
(* 1/8 (pow x 4))
(.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/8 binary64))))
(* (pow x 4) (+ 1/8 (* 1/8 (/ 1 x))))
(.f64 x (.f64 x (.f64 x (.f64 #s(literal 1/8 binary64) (+.f64 x #s(literal 1 binary64))))))
(* (pow x 4) (+ 1/8 (* 1/8 (/ 1 x))))
(.f64 x (.f64 x (.f64 x (.f64 #s(literal 1/8 binary64) (+.f64 x #s(literal 1 binary64))))))
(* (pow x 4) (+ 1/8 (* 1/8 (/ 1 x))))
(.f64 x (.f64 x (.f64 x (.f64 #s(literal 1/8 binary64) (+.f64 x #s(literal 1 binary64))))))
(* 1/8 (pow x 4))
(.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/8 binary64))))
(* (pow x 4) (+ 1/8 (* 1/8 (/ 1 x))))
(.f64 x (.f64 x (.f64 x (.f64 #s(literal 1/8 binary64) (+.f64 x #s(literal 1 binary64))))))
(* (pow x 4) (+ 1/8 (* 1/8 (/ 1 x))))
(.f64 x (.f64 x (.f64 x (.f64 #s(literal 1/8 binary64) (+.f64 x #s(literal 1 binary64))))))
(* (pow x 4) (+ 1/8 (* 1/8 (/ 1 x))))
(.f64 x (.f64 x (.f64 x (.f64 #s(literal 1/8 binary64) (+.f64 x #s(literal 1 binary64))))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/6 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(.f64 x (+.f64 (.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(.f64 x (+.f64 (.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 (.f64 x x) (+.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 (.f64 x x) (+.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(.f64 (.f64 x x) (+.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(.f64 (.f64 x x) (+.f64 (+.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
x
(* x (+ 1 (* 1/2 x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))))
(/ 72 x)
(/.f64 #s(literal 72 binary64) x)
(/ (- 72 (* 504 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 72 binary64) (/.f64 #s(literal -504 binary64) x)) x)
(/ (- (+ 72 (/ 1152 (pow x 2))) (* 504 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 72 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1152 binary64) x) #s(literal -504 binary64)) x)) x)
(/ (- (+ 72 (+ (* 5760 (/ 1 (pow x 3))) (/ 1152 (pow x 2)))) (* 504 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 72 binary64) (/.f64 (-.f64 #s(literal 504 binary64) (/.f64 (+.f64 #s(literal 1152 binary64) (/.f64 #s(literal 5760 binary64) x)) x)) x)) x)
(/ 72 x)
(/.f64 #s(literal 72 binary64) x)
(* -1 (/ (- (* 504 (/ 1 x)) 72) x))
(/.f64 (+.f64 #s(literal 72 binary64) (/.f64 #s(literal -504 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 1152 (/ 1 x)) 504) x)) 72) x))
(/.f64 (+.f64 #s(literal 72 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1152 binary64) x) #s(literal -504 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (+ (* 1152 (/ 1 x)) (/ 5760 (pow x 2))) 504) x)) 72) x))
(/.f64 (-.f64 #s(literal 72 binary64) (/.f64 (-.f64 #s(literal 504 binary64) (/.f64 (+.f64 #s(literal 1152 binary64) (/.f64 #s(literal 5760 binary64) x)) 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 (+ 1/2 (* 1/6 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))))
(/ 72 (pow x 2))
(/.f64 #s(literal 72 binary64) (*.f64 x x))
(/ (- 72 (* 504 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 72 binary64) (/.f64 #s(literal -504 binary64) x)) (*.f64 x x))
(/ (- (+ 72 (/ 1152 (pow x 2))) (* 504 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 72 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1152 binary64) x) #s(literal -504 binary64)) x)) (*.f64 x x))
(/ (- (+ 72 (+ (* 5760 (/ 1 (pow x 3))) (/ 1152 (pow x 2)))) (* 504 (/ 1 x))) (pow x 2))
(/.f64 (-.f64 #s(literal 72 binary64) (/.f64 (-.f64 #s(literal 504 binary64) (/.f64 (+.f64 #s(literal 1152 binary64) (/.f64 #s(literal 5760 binary64) x)) x)) x)) (*.f64 x x))
(/ 72 (pow x 2))
(/.f64 #s(literal 72 binary64) (*.f64 x x))
(/ (- 72 (* 504 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 72 binary64) (/.f64 #s(literal -504 binary64) x)) (*.f64 x x))
(/ (+ 72 (* -1 (/ (- 504 (* 1152 (/ 1 x))) x))) (pow x 2))
(/.f64 (+.f64 #s(literal 72 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1152 binary64) x) #s(literal -504 binary64)) x)) (*.f64 x x))
(/ (+ 72 (* -1 (/ (+ 504 (* -1 (/ (+ 1152 (* 5760 (/ 1 x))) x))) x))) (pow x 2))
(/.f64 (-.f64 #s(literal 72 binary64) (/.f64 (-.f64 #s(literal 504 binary64) (/.f64 (+.f64 #s(literal 1152 binary64) (/.f64 #s(literal 5760 binary64) x)) x)) x)) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (pow x 3)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x #s(literal 1/8 binary64)))))
(+ 1 (* (pow x 3) (+ 1/8 (* 1/8 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 #s(literal 1/8 binary64) (+.f64 x #s(literal 1 binary64)))))))
(+ 1 (* (pow x 3) (+ 1/8 (* 1/8 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 #s(literal 1/8 binary64) (+.f64 x #s(literal 1 binary64)))))))
(* 1/8 (pow x 4))
(.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/8 binary64))))
(* (pow x 4) (+ 1/8 (* 1/8 (/ 1 x))))
(.f64 x (.f64 x (.f64 x (.f64 #s(literal 1/8 binary64) (+.f64 x #s(literal 1 binary64))))))
(* (pow x 4) (+ 1/8 (+ (* 1/8 (/ 1 x)) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 #s(literal 1/8 binary64) (+.f64 x #s(literal 1 binary64)))))))
(* (pow x 4) (+ 1/8 (+ (* 1/8 (/ 1 x)) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 #s(literal 1/8 binary64) (+.f64 x #s(literal 1 binary64)))))))
(* 1/8 (pow x 4))
(.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/8 binary64))))
(* (pow x 4) (+ 1/8 (* 1/8 (/ 1 x))))
(.f64 x (.f64 x (.f64 x (.f64 #s(literal 1/8 binary64) (+.f64 x #s(literal 1 binary64))))))
(* (pow x 4) (+ 1/8 (+ (* 1/8 (/ 1 x)) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 #s(literal 1/8 binary64) (+.f64 x #s(literal 1 binary64)))))))
(* (pow x 4) (+ 1/8 (+ (* 1/8 (/ 1 x)) (/ 1 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 #s(literal 1/8 binary64) (+.f64 x #s(literal 1 binary64)))))))

eval360.0ms (3%)

Compiler: Compiled 35126 to 24297 computations (30.8% saved)

prune93.0ms (0.8%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	581	0	581
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	581	6	587

Accuracy

100.0%

Counts

587 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (*.f64 x x)) x)
✓	99.7%	(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
✓	100.0%	(.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal 1/8 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) #s(literal -1 binary64))))))
✓	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
✓	99.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
✓	98.7%	x

Compiler

Compiled 259 to 186 computations (28.2% saved)

regimes6.0ms (0%)

Counts

10 → 1

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (*.f64 x x)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal 1/8 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) #s(literal -1 binary64))))))
(.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal -1 binary64))))))
(expm1.f64 x)
(-.f64 (exp.f64 x) #s(literal 1 binary64))

Outputs
(expm1.f64 x)

Calls

3 calls:

3.0ms	x
1.0ms	(exp.f64 x)
1.0ms	(-.f64 (exp.f64 x) #s(literal 1 binary64))

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Counts

8 → 1

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))) (*.f64 x x)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))))))
(.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal 1/8 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) #s(literal -1 binary64))))))
(.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal -1 binary64))))))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
100.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
99.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
99.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
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))))

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
99.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

1 calls:

0.0ms

Results

Accuracy	Segments	Branch
98.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

soundness1.0ms (0%)

Stop Event

1×

done

Compiler

Compiled 55 to 36 computations (34.5% saved)

preprocess46.0ms (0.4%)

Compiler: Compiled 126 to 84 computations (33.3% saved)

Iter	Nodes	Cost
0	8	15
1	19	15
2	38	14
3	57	14
4	73	14
5	93	14
6	111	14
7	126	14
8	138	14
9	142	14
10	143	14
0	4	4
1	9	4
2	10	4
0	10	2

Iter	Nodes	Cost
0	8	15
1	19	15
2	38	14
3	57	14
4	73	14
5	93	14
6	111	14
7	126	14
8	138	14
9	142	14
10	143	14
0	4	4
1	9	4
2	10	4
0	10	2

analyze0.0ms (0%)

sample1.6s (13%)

preprocess13.0ms (0.1%)

explain103.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize46.0ms (0.4%)

series1.0ms (0%)

rewrite107.0ms (0.9%)

simplify48.0ms (0.4%)

eval24.0ms (0.2%)

prune19.0ms (0.2%)

localize241.0ms (2%)

series26.0ms (0.2%)

rewrite701.0ms (5.7%)

simplify851.0ms (7%)

eval228.0ms (1.9%)

prune110.0ms (0.9%)

localize2.3s (18.9%)

series19.0ms (0.2%)

rewrite664.0ms (5.4%)

simplify916.0ms (7.5%)

eval796.0ms (6.5%)

prune175.0ms (1.4%)

localize1.5s (12.1%)

series13.0ms (0.1%)

rewrite761.0ms (6.2%)

simplify439.0ms (3.6%)

eval360.0ms (3%)

prune93.0ms (0.8%)

regimes6.0ms (0%)

regimes3.0ms (0%)

regimes8.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

regimes1.0ms (0%)

soundness1.0ms (0%)

preprocess46.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	15
1	19	15
2	38	14
3	57	14
4	73	14
5	93	14
6	111	14
7	126	14
8	138	14
9	142	14
10	143	14
0	4	4
1	9	4
2	10	4
0	10	2