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 6 computations (33.3% 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)

sample1.7s (25.1%)

Results

1.4s	8068×	1	valid
11.0ms	188×	0	valid

Precisions

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

ival-exp: 589.0ms (58.8% of total)

ival-sub: 149.0ms (14.9% of total)

backward-pass: 111.0ms (11.1% of total)

ival-<=: 74.0ms (7.4% of total)

ival-fabs: 67.0ms (6.7% of total)

const: 12.0ms (1.2% of total)

Bogosity

preprocess19.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

60×	`sum3-define`
58×	`fmsub-define`
30×	`fmm-def`
28×	`fma-define`
28×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	21	9
2	41	9
3	62	9
4	96	9
5	134	9
6	161	9
7	199	9
8	225	9
9	238	9
10	250	9
11	251	9
0	4	2
1	10	2
2	11	2
0	11	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)
(expm1 x)
(- (exp (neg x)) 1)
(expm1 (neg x))
(neg (- (exp (neg x)) 1))
(neg (expm1 (neg x)))

explain152.0ms (2.2%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
255	1	(0.004905336006223196)	1	(-0.012958257044675172)	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
0	0	-	0	-	`x`
0	0	-	0	-	`(exp.f64 x)`
0	0	-	0	-	`#s(literal 1 binary64)`

Results

125.0ms	506×	1	valid
0.0ms	6×	0	valid

Compiler

Compiled 25 to 14 computations (44% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-exp: 33.0ms (65.1% of total)

backward-pass: 9.0ms (17.8% of total)

ival-sub: 7.0ms (13.8% of total)

const: 1.0ms (2% 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)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

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

Rules

4×	`+-lowering-+.f64`
4×	`+-lowering-+.f32`
2×	`exp-lowering-exp.f32`
2×	`expm1-lowering-expm1.f32`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	3
1	10	3
2	11	3
0	11	3

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (exp x) 1)
x

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

localize54.0ms (0.8%)

Localize:

Found 1 expressions of interest:

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

Results

47.0ms	252×	5	exit
0.0ms	3×	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: 19.0ms

backward-pass: 8.0ms (41.9% of total)

compiled-spec: 6.0ms (31.4% of total)

ival-exp: 4.0ms (20.9% of total)

ival-sub: 2.0ms (10.5% 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)

rewrite111.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

574×	`/-lowering-/.f32`
574×	`/-lowering-/.f64`
536×	`-lowering-.f32`
536×	`-lowering-.f64`
284×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	2
1	23	2
2	134	2
0	1209	2

Stop Event

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

Counts

1 → 69

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

simplify53.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	50
1	72	44
2	190	41
3	465	41
4	978	41
5	1401	41
6	1557	41
7	1559	41
0	1559	41

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)

eval10.0ms (0.1%)

Compiler: Compiled 1522 to 213 computations (86% saved)

prune10.0ms (0.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	77	4	81
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	77	5	82

Accuracy

100.0%

Counts

82 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(.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))))))))
▶	99.5%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
▶	99.4%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
✓	100.0%	(expm1.f64 x)
▶	98.6%	x

Compiler

Compiled 41 to 30 computations (26.8% saved)

simplify54.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize129.0ms (1.9%)

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	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	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))))))))
✓	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 1/2 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	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))))

Results

99.0ms	255×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 128 to 21 computations (83.6% saved)

Precisions

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

ival-mult: 17.0ms (41.2% of total)

ival-add: 12.0ms (29.1% of total)

...c/correct-round.rkt:119:19: 11.0ms (26.7% of total)

const: 0.0ms (0% of total)

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

series38.0ms (0.5%)

Counts

14 → 168

Calls

Call 1

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

Calls

42 calls:

Time	Variable		Point	Expression
28.0ms	x	@	0	(* x (+ 1 (* x 1/2)))
1.0ms	x	@	inf	(* x 1/24)
1.0ms	x	@	inf	(* x (+ 1 (* x (+ 1/2 (* x 1/6)))))
1.0ms	x	@	-inf	(* x (+ 1 (* x 1/2)))
0.0ms	x	@	inf	(* x (+ 1 (* x 1/2)))

rewrite372.0ms (5.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	108
1	137	89
2	1290	86
0	8131	86

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 476

Calls

Call 1

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

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

simplify202.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

3044×	`-lowering-.f32`
3044×	`-lowering-.f64`
1980×	`+-lowering-+.f64`
1980×	`+-lowering-+.f32`
1858×	`sum3-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	83	1132
1	306	933
2	995	899
3	4149	883
4	7302	880
0	8002	880

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

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

eval108.0ms (1.6%)

Compiler: Compiled 18586 to 1911 computations (89.7% saved)

prune71.0ms (1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	637	7	644
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	639	10	649

Accuracy

100.0%

Counts

649 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
▶	99.7%	(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) x)
▶	99.4%	(+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) x)
	26.6%	(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)))
▶	54.1%	(.f64 (.f64 x x) (neg.f64 (-.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x #s(literal 1/6 binary64)))))
	99.7%	(.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 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 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))))))
▶	99.7%	(.f64 x (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))))
✓	99.5%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
✓	100.0%	(expm1.f64 x)
✓	98.6%	x

Compiler

Compiled 337 to 182 computations (46% saved)

simplify162.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64)))
✓	cost-diff	0	(.f64 x (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))))
✓	cost-diff	64	(neg.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))
✓	cost-diff	256	(-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
✓	cost-diff	0	(-.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x #s(literal 1/6 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	64	(neg.f64 (-.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x #s(literal 1/6 binary64))))
✓	cost-diff	128	(.f64 (.f64 x x) (neg.f64 (-.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (*.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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
✓	cost-diff	128	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	0	(+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) x)
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))
✓	cost-diff	0	(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) x)

Rules

2732×	`sum3-define`
1586×	`sum4-define`
1372×	`fma-lowering-fma.f32`
1372×	`fma-lowering-fma.f64`
1288×	`fmsub-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	222
1	99	194
2	300	191
3	1079	189
4	3554	184
5	7876	184
0	8411	184

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize208.0ms (3%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 x (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))))
✓	accuracy	99.9%	(.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/24 binary64))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	100.0%	(neg.f64 (-.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x #s(literal 1/6 binary64))))
✓	accuracy	100.0%	(-.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x #s(literal 1/6 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	54.6%	(.f64 (.f64 x x) (neg.f64 (-.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (*.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 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) x)
✓	accuracy	100.0%	(.f64 x (.f64 x #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.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 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))
✓	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))

Results

138.0ms	255×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 248 to 35 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 21.0ms (38.2% of total)

ival-add: 14.0ms (25.5% of total)

...c/correct-round.rkt:119:19: 8.0ms (14.5% of total)

ival-div: 6.0ms (10.9% of total)

ival-neg: 3.0ms (5.5% of total)

ival-sub: 2.0ms (3.6% of total)

const: 1.0ms (1.8% of total)

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

series10.0ms (0.1%)

Counts

22 → 264

Calls

Call 1

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

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 (* 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 (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* 1/6 x)))>
#<alt (* (pow x 2) (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))>
#<alt (* (pow x 2) (+ 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)))))>
#<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)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/24 x))))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/24 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt 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 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt x>
#<alt (* x (+ 1 (* 1/2 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>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* 1/4 x) 1/2)))>
#<alt (+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2)))>
#<alt (/ 2 x)>
#<alt (/ (- 2 (* 4 (/ 1 x))) x)>
#<alt (/ (- (+ 2 (/ 8 (pow x 2))) (* 4 (/ 1 x))) x)>
#<alt (/ (- (+ 2 (/ 8 (pow x 2))) (+ (* 4 (/ 1 x)) (* 16 (/ 1 (pow x 3))))) x)>
#<alt (/ 2 x)>
#<alt (* -1 (/ (- (* 4 (/ 1 x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 x)) 4) x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 x)) 8) x)) 4) x)) 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 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 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/6 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/6 x)))) x)>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* x (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ -1 x)>
#<alt (/ (- (* -1/2 x) 1) x)>
#<alt (/ (- (* x (- (* -1/6 x) 1/2)) 1) x)>
#<alt (/ (- (* x (- (* -1/6 x) 1/2)) 1) x)>
#<alt (* -1/6 x)>
#<alt (* -1 (* x (+ 1/6 (* 1/2 (/ 1 x)))))>
#<alt (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))>
#<alt (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))>
#<alt (* -1/6 x)>
#<alt (* -1 (* x (+ 1/6 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))>
#<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 (- (* -1/2 x) 1)>
#<alt (- (* x (- (* -1/6 x) 1/2)) 1)>
#<alt (- (* x (- (* -1/6 x) 1/2)) 1)>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))>
#<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 (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt 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 (* 1/6 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 (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>

Calls

66 calls:

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

rewrite383.0ms (5.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2712×	`fma-lowering-fma.f32`
2712×	`fma-lowering-fma.f64`
2684×	`-lowering-.f32`
2684×	`-lowering-.f64`
2102×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	170
1	236	144
2	2168	143
0	8478	143

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 561

Calls

Call 1

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

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

simplify226.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

3476×	`-lowering-.f32`
3476×	`-lowering-.f64`
1966×	`fnmadd-define`
1678×	`fma-lowering-fma.f32`
1678×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	152	1761
1	542	1500
2	1620	1428
3	6351	1428
0	8375	1428

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

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)))))))
(* 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))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 1/6 x)))
(* (pow x 2) (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(* (pow x 2) (+ 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)))))
(* 1/24 (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)))))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/6 x)
(* x (+ 1/6 (* 1/24 x)))
(* x (+ 1/6 (* 1/24 x)))
(* x (+ 1/6 (* 1/24 x)))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
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 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
x
(* x (+ 1 (* 1/2 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
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/4 x) 1/2)))
(+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2)))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 x))) x)
(/ (- (+ 2 (/ 8 (pow x 2))) (* 4 (/ 1 x))) x)
(/ (- (+ 2 (/ 8 (pow x 2))) (+ (* 4 (/ 1 x)) (* 16 (/ 1 (pow x 3))))) x)
(/ 2 x)
(* -1 (/ (- (* 4 (/ 1 x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 x)) 4) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 x)) 8) x)) 4) x)) 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)))
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 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/6 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* 1/6 x)))) x)
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* x (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ -1 x)
(/ (- (* -1/2 x) 1) x)
(/ (- (* x (- (* -1/6 x) 1/2)) 1) x)
(/ (- (* x (- (* -1/6 x) 1/2)) 1) x)
(* -1/6 x)
(* -1 (* x (+ 1/6 (* 1/2 (/ 1 x)))))
(* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))
(* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))
(* -1/6 x)
(* -1 (* x (+ 1/6 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
(* -1 (* x (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
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
(- (* -1/2 x) 1)
(- (* x (- (* -1/6 x) 1/2)) 1)
(- (* x (- (* -1/6 x) 1/2)) 1)
(* -1/6 (pow x 2))
(* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))
(* -1/6 (pow x 2))
(* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))
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))))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
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))))
(* 1/6 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)
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))

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

eval168.0ms (2.4%)

Compiler: Compiled 21602 to 1924 computations (91.1% saved)

prune80.0ms (1.2%)

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	895	3	898
Fresh	0	2	2
Picked	2	3	5
Done	0	3	3
Total	897	11	908

Accuracy

100.0%

Counts

908 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
▶	99.4%	(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
✓	99.7%	(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) x)
✓	99.4%	(+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) x)
▶	54.1%	(.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x #s(literal -1/6 binary64)))) (*.f64 x x))
▶	99.7%	(.f64 (+.f64 (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))) x)
▶	26.6%	(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)))
▶	99.7%	(.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 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 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))))))
✓	99.5%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
✓	100.0%	(expm1.f64 x)
✓	98.6%	x

Compiler

Compiled 315 to 167 computations (47% saved)

simplify317.0ms (4.6%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

2756×	`+-lowering-+.f64`
2756×	`+-lowering-+.f32`
2302×	`--lowering--.f32`
2302×	`--lowering--.f64`
1956×	`-lowering-.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	48	543
1	139	425
2	504	383
3	2308	383
4	5260	379
0	8119	379

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize367.0ms (5.3%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
✓	accuracy	28.0%	(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)))
✓	accuracy	100.0%	(.f64 (+.f64 (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))) x)
✓	accuracy	99.9%	(.f64 x (.f64 #s(literal 1/24 binary64) (*.f64 x x)))
✓	accuracy	99.7%	(.f64 #s(literal 1/24 binary64) (.f64 x x))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x #s(literal -1/6 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal -1/6 binary64))
✓	accuracy	54.6%	(.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x #s(literal -1/6 binary64)))) (*.f64 x x))
✓	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))))
✓	accuracy	100.0%	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))
✓	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 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))))
✓	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))

Results

260.0ms	255×	0	valid
2.0ms	1×	2	valid

Compiler

Compiled 580 to 49 computations (91.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

ival-mult: 43.0ms (38.7% of total)

ival-add: 42.0ms (37.8% of total)

...c/correct-round.rkt:119:19: 13.0ms (11.7% of total)

ival-div: 11.0ms (9.9% of total)

const: 1.0ms (0.9% of total)

ival-sub: 1.0ms (0.9% of total)

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

series12.0ms (0.2%)

Counts

26 → 312

Calls

Call 1

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

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 (* 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 (* 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 x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/4 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))))>
#<alt -2>
#<alt (* -1 (+ 2 (* 4 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2)>
#<alt (- (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 2))) (+ 2 (* 4 (/ 1 x))))>
#<alt -2>
#<alt (* -1 (+ 2 (* 4 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2)>
#<alt (- (* -1 (/ (+ 4 (+ (* 8 (/ 1 x)) (/ 16 (pow x 2)))) x)) 2)>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* -1/2 x))>
#<alt (* -1/2 x)>
#<alt (* x (- (/ 1 x) 1/2))>
#<alt (* x (- (/ 1 x) 1/2))>
#<alt (* x (- (/ 1 x) 1/2))>
#<alt (* -1/2 x)>
#<alt (* -1 (* x (- 1/2 (/ 1 x))))>
#<alt (* -1 (* x (- 1/2 (/ 1 x))))>
#<alt (* -1 (* x (- 1/2 (/ 1 x))))>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 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 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/6 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/6 x)))) x)>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* x (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))>
#<alt (/ -1 x)>
#<alt (/ (- (* -1/6 (pow x 2)) 1) x)>
#<alt (/ (- (* -1/6 (pow x 2)) 1) x)>
#<alt (/ (- (* -1/6 (pow x 2)) 1) x)>
#<alt (* -1/6 x)>
#<alt (* -1 (* x (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* x (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* x (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1/6 x)>
#<alt (* -1 (* x (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* x (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* x (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<alt 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 (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (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 (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 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 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* 1/6 x)))>
#<alt (* (pow x 2) (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))>
#<alt (* (pow x 2) (+ 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)))))>
#<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)))))>
#<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 (* 1/6 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 (pow x 2))>
#<alt (/ (+ 1 (* 1/2 x)) (pow x 2))>
#<alt (/ (+ 1 (* 1/2 x)) (pow x 2))>
#<alt (/ (+ 1 (* 1/2 x)) (pow x 2))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (/ 1 x)) x)>
#<alt (/ (+ 1/2 (/ 1 x)) x)>
#<alt (/ (+ 1/2 (/ 1 x)) x)>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (/ 1 x)) x)>
#<alt (/ (+ 1/2 (/ 1 x)) x)>
#<alt (/ (+ 1/2 (/ 1 x)) x)>
#<alt (/ 1 (pow x 3))>
#<alt (/ (+ 1 (* 1/2 x)) (pow x 3))>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/6 x)))) (pow x 3))>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/6 x)))) (pow x 3))>
#<alt (/ 1/6 x)>
#<alt (/ (+ 1/6 (* 1/2 (/ 1 x))) x)>
#<alt (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)>
#<alt (/ 1/6 x)>
#<alt (/ (+ 1/6 (* 1/2 (/ 1 x))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))>

Calls

78 calls:

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

rewrite308.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3460×	`-lowering-.f32`
3460×	`-lowering-.f64`
2130×	`pow-lowering-pow.f64`
2130×	`pow-lowering-pow.f32`
1970×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	358
1	334	239
2	3468	237
0	8226	237

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 429

Calls

Call 1

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

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

simplify485.0ms (7%)

Algorithm

1×	egg-herbie

Rules

3234×	`-lowering-.f32`
3234×	`-lowering-.f64`
1790×	`+-lowering-+.f64`
1790×	`+-lowering-+.f32`
1678×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	195	2138
1	636	1927
2	1968	1838
3	6093	1820
0	8151	1820

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

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)))))))
(* 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)))
(* 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)))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/4 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))))
-2
(* -1 (+ 2 (* 4 (/ 1 x))))
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 2))) (+ 2 (* 4 (/ 1 x))))
-2
(* -1 (+ 2 (* 4 (/ 1 x))))
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 4 (+ (* 8 (/ 1 x)) (/ 16 (pow x 2)))) x)) 2)
1
(+ 1 (* -1/2 x))
(+ 1 (* -1/2 x))
(+ 1 (* -1/2 x))
(* -1/2 x)
(* x (- (/ 1 x) 1/2))
(* x (- (/ 1 x) 1/2))
(* x (- (/ 1 x) 1/2))
(* -1/2 x)
(* -1 (* x (- 1/2 (/ 1 x))))
(* -1 (* x (- 1/2 (/ 1 x))))
(* -1 (* x (- 1/2 (/ 1 x))))
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 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 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/6 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* 1/6 x)))) x)
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* x (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(/ -1 x)
(/ (- (* -1/6 (pow x 2)) 1) x)
(/ (- (* -1/6 (pow x 2)) 1) x)
(/ (- (* -1/6 (pow x 2)) 1) x)
(* -1/6 x)
(* -1 (* x (+ 1/6 (/ 1 (pow x 2)))))
(* -1 (* x (+ 1/6 (/ 1 (pow x 2)))))
(* -1 (* x (+ 1/6 (/ 1 (pow x 2)))))
(* -1/6 x)
(* -1 (* x (+ 1/6 (/ 1 (pow x 2)))))
(* -1 (* x (+ 1/6 (/ 1 (pow x 2)))))
(* -1 (* x (+ 1/6 (/ 1 (pow x 2)))))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
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))))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (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))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 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 (pow x 2))
(* (pow x 2) (+ 1/2 (* 1/6 x)))
(* (pow x 2) (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(* (pow x 2) (+ 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)))))
(* 1/24 (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)))))
(* -1/6 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)
(* 1/6 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 (pow x 2))
(/ (+ 1 (* 1/2 x)) (pow x 2))
(/ (+ 1 (* 1/2 x)) (pow x 2))
(/ (+ 1 (* 1/2 x)) (pow x 2))
(/ 1/2 x)
(/ (+ 1/2 (/ 1 x)) x)
(/ (+ 1/2 (/ 1 x)) x)
(/ (+ 1/2 (/ 1 x)) x)
(/ 1/2 x)
(/ (+ 1/2 (/ 1 x)) x)
(/ (+ 1/2 (/ 1 x)) x)
(/ (+ 1/2 (/ 1 x)) x)
(/ 1 (pow x 3))
(/ (+ 1 (* 1/2 x)) (pow x 3))
(/ (+ 1 (* x (+ 1/2 (* 1/6 x)))) (pow x 3))
(/ (+ 1 (* x (+ 1/2 (* 1/6 x)))) (pow x 3))
(/ 1/6 x)
(/ (+ 1/6 (* 1/2 (/ 1 x))) x)
(/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)
(/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)
(/ 1/6 x)
(/ (+ 1/6 (* 1/2 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))
(* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))

Outputs
x
(* x (+ 1 (* 1/2 x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
(* x (+ 1 (* x (+ 1/2 (* 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 x (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1/6 binary64) x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1/6 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))))
(* 1/24 (pow x 4))
(.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1/6 binary64) x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64)))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(* 1/24 (pow x 3))
(.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(.f64 (.f64 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 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (pow x 3)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/8 binary64))))
(+ 1 (* (pow x 3) (+ 1/8 (* 1/8 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))))))
(+ 1 (* (pow x 3) (+ 1/8 (* x (+ 1/8 (* 7/96 x))))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 (.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 (+.f64 #s(literal 1/13824 binary64) (/.f64 #s(literal 1/1152 binary64) x)) (/.f64 #s(literal 7/1152 binary64) (.f64 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 #s(literal 1/1152 binary64) x) (+.f64 (/.f64 #s(literal 7/1152 binary64) (.f64 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)))
(* 1/8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(* (pow x 3) (+ 1/8 (* 1/8 x)))
(.f64 (.f64 x x) (.f64 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 x (.f64 (.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 (+.f64 #s(literal 1/13824 binary64) (/.f64 #s(literal 1/1152 binary64) x)) (/.f64 #s(literal 7/1152 binary64) (.f64 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 #s(literal 1/1152 binary64) x) (+.f64 (/.f64 #s(literal 7/1152 binary64) (.f64 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 (* 1/4 x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/4 binary64))))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/8 binary64)) #s(literal 1/4 binary64)))))))
-2
#s(literal -2 binary64)
(* -1 (+ 2 (* 4 (/ 1 x))))
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) x))
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2)
(+.f64 (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -8 binary64) x)) x) #s(literal -2 binary64))
(- (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 2))) (+ 2 (* 4 (/ 1 x))))
(+.f64 (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -16 binary64) x)) (*.f64 x x)) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) x)))
-2
#s(literal -2 binary64)
(* -1 (+ 2 (* 4 (/ 1 x))))
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) x))
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2)
(+.f64 (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -8 binary64) x)) x) #s(literal -2 binary64))
(- (* -1 (/ (+ 4 (+ (* 8 (/ 1 x)) (/ 16 (pow x 2)))) x)) 2)
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal -8 binary64) x) (-.f64 #s(literal -4 binary64) (/.f64 #s(literal 16 binary64) (*.f64 x x)))) x) #s(literal -2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 x))
(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+ 1 (* -1/2 x))
(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+ 1 (* -1/2 x))
(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (/ 1 x) 1/2))
(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* x (- (/ 1 x) 1/2))
(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* x (- (/ 1 x) 1/2))
(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1 (* x (- 1/2 (/ 1 x))))
(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* -1 (* x (- 1/2 (/ 1 x))))
(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* -1 (* x (- 1/2 (/ 1 x))))
(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
x
(* x (+ 1 (* 1/2 x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
(* x (+ 1 (* x (+ 1/2 (* 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 (-.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) x))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(.f64 x (.f64 (-.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(/ (+ 1 (* x (+ 1/2 (* 1/6 x)))) x)
(/.f64 (+.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)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64))))) x)
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(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (+ 1/2 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (+ 1/2 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (+ 1/2 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
(/ (+ 1 (* 1/2 x)) (pow x 3))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) (.f64 x (*.f64 x x)))
(/ (+ 1 (* x (+ 1/2 (* 1/6 x)))) (pow x 3))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64))))) (.f64 x (.f64 x x)))
(/ (+ 1 (* x (+ 1/2 (* 1/6 x)))) (pow x 3))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/6 binary64))))) (.f64 x (.f64 x x)))
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ (+ 1/6 (* 1/2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)
(/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)
(/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ (+ 1/6 (* 1/2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))
(/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))
(/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)

eval160.0ms (2.3%)

Compiler: Compiled 41082 to 2279 computations (94.5% saved)

prune79.0ms (1.1%)

Pruning

15 alts after pruning (6 fresh and 9 done)

	Pruned	Kept	Total
New	944	6	950
Fresh	0	0	0
Picked	2	3	5
Done	0	6	6
Total	946	15	961

Accuracy

100.0%

Counts

961 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
✓	99.4%	(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
✓	99.7%	(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) x)
✓	99.4%	(+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) x)
✓	54.1%	(.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x #s(literal -1/6 binary64)))) (*.f64 x x))
✓	99.7%	(.f64 (+.f64 (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))) x)
	26.1%	(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 (-.f64 #s(literal 1/36 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) (*.f64 x (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))))))
	14.4%	(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/216 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (.f64 x (.f64 x x)))) (*.f64 x (+.f64 #s(literal 1/36 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))))))
	20.0%	(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))))
	26.6%	(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)))
	99.7%	(.f64 x (/.f64 (+.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 (+.f64 #s(literal 7/96 binary64) (.f64 x #s(literal 11/432 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))))))
	99.7%	(.f64 x (/.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 #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))))))
✓	99.5%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
✓	100.0%	(expm1.f64 x)
✓	98.6%	x

Compiler

Compiled 836 to 314 computations (62.4% saved)

regimes20.0ms (0.3%)

Counts

22 → 1

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x #s(literal -1/6 binary64)))) (*.f64 x x))
(.f64 (.f64 x x) (neg.f64 (-.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x #s(literal 1/6 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))))))))
(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) x)
(.f64 (+.f64 (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))) x)
(.f64 x (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 (-.f64 #s(literal 1/36 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) (*.f64 x (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))))
(.f64 x (/.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 #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 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))))))))) (+.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 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/216 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (.f64 x (.f64 x x)))) (*.f64 x (+.f64 #s(literal 1/36 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))))))
(.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 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 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:

6.0ms	x
5.0ms	(exp.f64 x)
5.0ms	(-.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)

regimes10.0ms (0.1%)

Counts

20 → 1

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x #s(literal -1/6 binary64)))) (*.f64 x x))
(.f64 (.f64 x x) (neg.f64 (-.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x #s(literal 1/6 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))))))))
(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) x)
(.f64 (+.f64 (.f64 x (.f64 #s(literal 1/24 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64)))))) x)
(.f64 x (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/6 binary64))))))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 (-.f64 #s(literal 1/36 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) (*.f64 x (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))))
(.f64 x (/.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 #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 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))))))))) (+.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 (.f64 (.f64 x (.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/216 binary64) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (.f64 x (.f64 x x)))) (*.f64 x (+.f64 #s(literal 1/36 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))))))
(.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 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 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 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64))))) (.f64 x x)) x)

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
99.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

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

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:

3.0ms

Results

Accuracy	Segments	Branch
99.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% 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 x (.f64 x #s(literal 1/2 binary64))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x #s(literal -1/6 binary64)))) (*.f64 x x))
(.f64 (.f64 x x) (neg.f64 (-.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (*.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:

3.0ms

Results

Accuracy	Segments	Branch
99.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

5 → 1

Calls

Call 1

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

2.0ms

Results

Accuracy	Segments	Branch
99.4%	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 x (.f64 x #s(literal 1/2 binary64))) x)

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (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
99.4%	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:

1.0ms

Results

Accuracy	Segments	Branch
98.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative_binary64`
18×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	65
1	54	65

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness702.0ms (10.2%)

Rules

3810×	`-lowering-.f32`
3810×	`-lowering-.f64`
3484×	`/-lowering-/.f32`
3484×	`/-lowering-/.f64`
3476×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	152	1761
1	542	1500
2	1620	1428
3	6351	1428
0	8375	1428
0	20	108
1	137	89
2	1290	86
0	8131	86
0	4	2
1	10	2
2	11	2
0	11	2
0	22	50
1	72	44
2	190	41
3	465	41
4	978	41
5	1401	41
6	1557	41
7	1559	41
0	1559	41

Stop Event

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

Compiler

Compiled 202 to 127 computations (37.1% saved)

preprocess63.0ms (0.9%)

Compiler: Compiled 148 to 72 computations (51.4% saved)

Iter	Nodes	Cost
0	8	9
1	21	9
2	41	9
3	62	9
4	96	9
5	134	9
6	161	9
7	199	9
8	225	9
9	238	9
10	250	9
11	251	9
0	4	2
1	10	2
2	11	2
0	11	2

Iter	Nodes	Cost
0	8	9
1	21	9
2	41	9
3	62	9
4	96	9
5	134	9
6	161	9
7	199	9
8	225	9
9	238	9
10	250	9
11	251	9
0	4	2
1	10	2
2	11	2
0	11	2

analyze0.0ms (0%)

sample1.7s (25.1%)

preprocess19.0ms (0.3%)

explain152.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize54.0ms (0.8%)

series1.0ms (0%)

rewrite111.0ms (1.6%)

simplify53.0ms (0.8%)

eval10.0ms (0.1%)

prune10.0ms (0.2%)

simplify54.0ms (0.8%)

localize129.0ms (1.9%)

series38.0ms (0.5%)

rewrite372.0ms (5.4%)

simplify202.0ms (2.9%)

eval108.0ms (1.6%)

prune71.0ms (1%)

simplify162.0ms (2.3%)

localize208.0ms (3%)

series10.0ms (0.1%)

rewrite383.0ms (5.6%)

simplify226.0ms (3.3%)

eval168.0ms (2.4%)

prune80.0ms (1.2%)

simplify317.0ms (4.6%)

localize367.0ms (5.3%)

series12.0ms (0.2%)

rewrite308.0ms (4.5%)

simplify485.0ms (7%)

eval160.0ms (2.3%)

prune79.0ms (1.1%)

regimes20.0ms (0.3%)

regimes10.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify9.0ms (0.1%)

soundness702.0ms (10.2%)

preprocess63.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	9
1	21	9
2	41	9
3	62	9
4	96	9
5	134	9
6	161	9
7	199	9
8	225	9
9	238	9
10	250	9
11	251	9
0	4	2
1	10	2
2	11	2
0	11	2