Metrics for Rust f64::atanh

analyze2.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 4 to 3 computations (25% saved)

Precisions

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

const: 0.0ms (0% of total)

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

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

sample500.0ms (6.1%)

Results

291.0ms	8256×	0	valid
0.0ms	4×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-atanh: 73.0ms (88.2% of total)

const: 7.0ms (8.5% of total)

backward-pass: 3.0ms (3.6% of total)

Bogosity

preprocess57.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

252×	`fma-define`
212×	`sum3-define`
132×	`fma-lowering-fma.f32`
132×	`fma-lowering-fma.f64`
126×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	11	9
2	15	9
3	18	9
4	30	9
5	37	9
6	46	9
7	52	9
0	10	10
1	20	10
2	28	10
3	37	10
4	47	10
5	66	10
6	111	10
7	188	10
8	360	10
9	461	10
10	528	10
11	542	10
12	651	10
0	651	10

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x)))))

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

Call 2

Inputs
(atanh x)
(atanh (neg x))
(neg (atanh (neg x)))

Outputs
(atanh x)
(atanh (neg x))
(neg (atanh (neg x)))

explain310.0ms (3.8%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
-	-	`(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))`
-	-	`#s(literal 1/2 binary64)`
-	-	`#s(literal 2 binary64)`
-	-	`(*.f64 #s(literal 2 binary64) x)`
-	-	`(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
-	-	`#s(literal 1 binary64)`
-	-	`(-.f64 #s(literal 1 binary64) x)`

Results

134.0ms	378×	1	valid
122.0ms	128×	5	exit
1.0ms	6×	0	valid

Compiler

Compiled 85 to 29 computations (65.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 182.0ms

compiled-spec: 62.0ms (34.1% of total)

ival-log: 48.0ms (26.4% of total)

backward-pass: 30.0ms (16.5% of total)

ival-mult: 18.0ms (9.9% of total)

ival-div: 8.0ms (4.4% of total)

ival-sub: 7.0ms (3.9% of total)

ival-add: 6.0ms (3.3% of total)

const: 3.0ms (1.7% of total)

eval0.0ms (0%)

Compiler: Compiled 11 to 9 computations (18.2% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify19.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 #s(literal 2 binary64) x)
✓	cost-diff	(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
✓	cost-diff	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))

Rules

252×	`fma-define`
212×	`sum3-define`
132×	`fma-lowering-fma.f32`
132×	`fma-lowering-fma.f64`
126×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	35
1	20	35
2	28	35
3	37	35
4	47	35
5	66	35
6	111	35
7	188	35
8	360	35
9	461	35
10	528	35
11	542	35
12	651	35
0	651	35

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x)))))
1/2
(log (+ 1 (/ (* 2 x) (- 1 x))))
(/ (* 2 x) (- 1 x))
(* 2 x)
2
x
(- 1 x)
1

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

localize156.0ms (1.9%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	accuracy	100.0%	(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))

Results

65.0ms	189×	1	valid
46.0ms	64×	5	exit
0.0ms	3×	0	valid

Compiler

Compiled 37 to 10 computations (73% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

compiled-spec: 31.0ms (35.1% of total)

ival-log: 24.0ms (27.2% of total)

backward-pass: 14.0ms (15.9% of total)

ival-mult: 9.0ms (10.2% of total)

ival-div: 4.0ms (4.5% of total)

ival-sub: 3.0ms (3.4% of total)

ival-add: 3.0ms (3.4% of total)

const: 1.0ms (1.1% of total)

series4.0ms (0.1%)

Counts

4 → 48

Calls

Call 1

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

Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/2 (log -1))>
#<alt (+ (* 1/2 (log -1)) (/ 1 x))>
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))>
#<alt (* 1/2 (log -1))>
#<alt (+ (* 1/2 (log -1)) (/ 1 x))>
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))>
#<alt (log -1)>
#<alt (+ (log -1) (* 2 (/ 1 x)))>
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))>
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))>
#<alt (log -1)>
#<alt (+ (log -1) (* 2 (/ 1 x)))>
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))>
#<alt (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2 x)))>
#<alt (* x (+ 2 (* x (+ 2 (* 2 x)))))>
#<alt (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))>
#<alt -2>
#<alt (* -1 (+ 2 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))>
#<alt -2>
#<alt (* -1 (+ 2 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)>
#<alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>

Calls

12 calls:

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

rewrite226.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3232×	`-lowering-.f32`
3232×	`-lowering-.f64`
2314×	`/-lowering-/.f32`
2314×	`/-lowering-/.f64`
1602×	`sum5-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	50	28
2	419	28
3	6064	28
0	8334	28

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 107

Calls

Call 1

Inputs
(* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x)))))
(log (+ 1 (/ (* 2 x) (- 1 x))))
(/ (* 2 x) (- 1 x))
(* 2 x)

Outputs
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x))))
(*.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x))) #s(literal 1/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x))))
(+.f64 (log1p.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64)))))))
(+.f64 (log1p.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (log1p.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64))))))
(+.f64 (log1p.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64)))))))
(+.f64 (log1p.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (neg.f64 (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x))))))
(-.f64 (log1p.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (log1p.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64)))))
(-.f64 (log1p.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))))) (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64)))))))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x)))))
(-.f64 (log.f64 (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x)) #s(literal -1 binary64))))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (log1p.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (log1p.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))) (+.f64 (.f64 (log1p.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64)))) (log1p.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64))))) (.f64 (log1p.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (log1p.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (log1p.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (log1p.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))) (+.f64 (.f64 (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64)))) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64))))) (.f64 (log1p.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64))))))))
(/.f64 (-.f64 (.f64 (log1p.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (log1p.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))) (.f64 (log1p.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64)))) (log1p.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64)))))) (+.f64 (log1p.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (log1p.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (log1p.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (log1p.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))) (.f64 (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64)))) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64)))))) (+.f64 (log1p.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64))))))
(log1p.f64 (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x)))
(+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 x (+.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) x))
(+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x))) x))
(+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x))) x) (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(+.f64 (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 x (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 x (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(+.f64 (.f64 x (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64))))
(neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x))
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x #s(literal -2 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -2 binary64))))
(/.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 x (+.f64 #s(literal 1 binary64) x)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)) (.f64 x (+.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x)))
(*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(.f64 #s(literal 2 binary64) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))
(.f64 x (.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))
(.f64 x (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(.f64 x (.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(.f64 (.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x)) #s(literal 1 binary64))
(.f64 (.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(.f64 (.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 2 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) x) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal -1 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))))
(*.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(.f64 #s(literal -2 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))))
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 (.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) x)
(.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))))
(.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(.f64 (/.f64 (.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64)))
(neg.f64 (*.f64 x #s(literal -2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x))

simplify224.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

2126×	`-lowering-.f32`
2126×	`-lowering-.f64`
2060×	`sum3-define`
1780×	`fma-lowering-fma.f32`
1780×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	106	394
1	331	345
2	992	334
3	2914	331
4	5296	331
0	8411	331

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)

Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))
(* 1/2 (log -1))
(*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)))
(+ (* 1/2 (log -1)) (/ 1 x))
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))
(* 1/2 (log -1))
(*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)))
(+ (* 1/2 (log -1)) (/ 1 x))
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(+.f64 (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/5 binary64) (.f64 x x))) (*.f64 x x))) x))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 2/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 2/3 binary64))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 x (*.f64 x #s(literal 2/5 binary64)))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 2/5 binary64) (.f64 x (*.f64 x #s(literal 2/7 binary64)))))))))
(log -1)
(log.f64 #s(literal -1 binary64))
(+ (log -1) (* 2 (/ 1 x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x x)))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x)) (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 2/5 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))))
(log -1)
(log.f64 #s(literal -1 binary64))
(+ (log -1) (* 2 (/ 1 x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x x)))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 2/5 binary64) (.f64 x x))) (.f64 x x))) x))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 2 x)))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64))))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(.f64 (.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(.f64 x (.f64 (+.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x x))))
-2
#s(literal -2 binary64)
(* -1 (+ 2 (* 2 (/ 1 x))))
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(+.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) x) #s(literal -2 binary64))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x))
-2
#s(literal -2 binary64)
(* -1 (+ 2 (* 2 (/ 1 x))))
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(+.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) x) #s(literal -2 binary64))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))

eval18.0ms (0.2%)

Compiler: Compiled 2958 to 586 computations (80.2% saved)

prune20.0ms (0.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	150	5	155
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	150	6	156

Accuracy

100.0%

Counts

156 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))))
▶	99.6%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))
▶	99.5%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
▶	99.6%	(.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64))))))
✓	100.0%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
▶	99.3%	x

Compiler

Compiled 163 to 109 computations (33.1% saved)

simplify191.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Program
✓	cost-diff	(/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))
✓	cost-diff	(log1p.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
✓	cost-diff	(-.f64 (log1p.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64)))))
✓	cost-diff	(.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64))))))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))
✓	cost-diff	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 #s(literal 1/3 binary64) (.f64 x x))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x)))
✓	cost-diff	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))))
✓	cost-diff	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))

Rules

3008×	`-lowering-.f32`
3008×	`-lowering-.f64`
1718×	`+-lowering-+.f64`
1718×	`+-lowering-+.f32`
1160×	`fma-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	39	280
1	128	259
2	390	256
3	1085	256
4	2924	242
0	8115	242

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))))
x
(+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))))
1
(* (* x x) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))
(* x x)
(+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))
1/3
(* x (* x (+ 1/5 (* (* x x) 1/7))))
(* x (+ 1/5 (* (* x x) 1/7)))
(+ 1/5 (* (* x x) 1/7))
1/5
(* (* x x) 1/7)
1/7
x
(* x (+ 1 (* 1/3 (* x x))))
x
(+ 1 (* 1/3 (* x x)))
1
(* 1/3 (* x x))
1/3
(* x x)
(* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) 1/5)))))
x
(+ 1 (* (* x x) (+ 1/3 (* (* x x) 1/5))))
1
(* (* x x) (+ 1/3 (* (* x x) 1/5)))
(* x x)
(+ 1/3 (* (* x x) 1/5))
1/3
(* (* x x) 1/5)
1/5
(* 1/2 (- (log (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1))))) (log (+ 1 (/ (* 2 x) (+ x -1))))))
1/2
(- (log (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1))))) (log (+ 1 (/ (* 2 x) (+ x -1)))))
(log (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1)))))
(/ (* (* x x) 4) (* (- 1 x) (+ x -1)))
(* (* x x) 4)
(* x x)
x
4
(* (- 1 x) (+ x -1))
(- 1 x)
1
(+ x -1)
-1
(log (+ 1 (/ (* 2 x) (+ x -1))))
(/ (* 2 x) (+ x -1))
(* 2 x)
2

Outputs
(* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))
x
(+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))
1
#s(literal 1 binary64)
(* (* x x) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))
(* x x)
(*.f64 x x)
(+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))
1/3
#s(literal 1/3 binary64)
(* x (* x (+ 1/5 (* (* x x) 1/7))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))
(* x (+ 1/5 (* (* x x) 1/7)))
(.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))
(+ 1/5 (* (* x x) 1/7))
(+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))
1/5
#s(literal 1/5 binary64)
(* (* x x) 1/7)
(.f64 x (.f64 x #s(literal 1/7 binary64)))
1/7
#s(literal 1/7 binary64)
x
(* x (+ 1 (* 1/3 (* x x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
x
(+ 1 (* 1/3 (* x x)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
1
#s(literal 1 binary64)
(* 1/3 (* x x))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
1/3
#s(literal 1/3 binary64)
(* x x)
(*.f64 x x)
(* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) 1/5)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))))))
x
(+ 1 (* (* x x) (+ 1/3 (* (* x x) 1/5))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))))))
1
#s(literal 1 binary64)
(* (* x x) (+ 1/3 (* (* x x) 1/5)))
(.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))
(* x x)
(*.f64 x x)
(+ 1/3 (* (* x x) 1/5))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))
1/3
#s(literal 1/3 binary64)
(* (* x x) 1/5)
(.f64 (.f64 x x) #s(literal 1/5 binary64))
1/5
#s(literal 1/5 binary64)
(* 1/2 (- (log (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1))))) (log (+ 1 (/ (* 2 x) (+ x -1))))))
(.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))) (+.f64 x #s(literal -1 binary64)))) (log1p.f64 (.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64)))))))
1/2
#s(literal 1/2 binary64)
(- (log (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1))))) (log (+ 1 (/ (* 2 x) (+ x -1)))))
(-.f64 (log1p.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))) (+.f64 x #s(literal -1 binary64)))) (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))))))
(log (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1)))))
(log1p.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))) (+.f64 x #s(literal -1 binary64))))
(/ (* (* x x) 4) (* (- 1 x) (+ x -1)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))) (+.f64 x #s(literal -1 binary64)))
(* (* x x) 4)
(.f64 (.f64 x x) #s(literal 4 binary64))
(* x x)
(*.f64 x x)
x
4
#s(literal 4 binary64)
(* (- 1 x) (+ x -1))
(+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 2 binary64) x)))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(+ x -1)
(+.f64 x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(log (+ 1 (/ (* 2 x) (+ x -1))))
(log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64)))))
(/ (* 2 x) (+ x -1))
(*.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize777.0ms (9.4%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log1p.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
✓	accuracy	100.0%	(-.f64 (log1p.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64)))))
✓	accuracy	100.0%	(.f64 (.f64 x x) #s(literal 4 binary64))
✓	accuracy	100.0%	(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64))))
✓	accuracy	100.0%	(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 1/5 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
✓	accuracy	99.8%	(.f64 #s(literal 1/3 binary64) (.f64 x x))
✓	accuracy	99.9%	(.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 1/7 binary64))
✓	accuracy	99.8%	(.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))

Results

464.0ms	113×	5	exit
229.0ms	140×	1	valid
2.0ms	1×	2	valid
1.0ms	1×	0	valid
0.0ms	1×	0	invalid

Compiler

Compiled 318 to 38 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 493.0ms

compiled-spec: 114.0ms (23.1% of total)

backward-pass: 114.0ms (23.1% of total)

ival-mult: 92.0ms (18.7% of total)

ival-log: 92.0ms (18.7% of total)

ival-add: 36.0ms (7.3% of total)

...c/correct-round.rkt:119:19: 21.0ms (4.3% of total)

ival-div: 12.0ms (2.4% of total)

ival-sub: 7.0ms (1.4% of total)

const: 3.0ms (0.6% of total)

series18.0ms (0.2%)

Counts

21 → 252

Calls

Call 1

Inputs
#<alt (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))))>
#<alt (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))))>
#<alt (* (* x x) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))>
#<alt (* x x)>
#<alt (* x (+ 1 (* 1/3 (* x x))))>
#<alt (+ 1 (* 1/3 (* x x)))>
#<alt (* 1/3 (* x x))>
#<alt (* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) 1/5)))))>
#<alt (+ 1 (* (* x x) (+ 1/3 (* (* x x) 1/5))))>
#<alt (* (* x x) (+ 1/3 (* (* x x) 1/5)))>
#<alt (* 1/2 (- (log (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1))))) (log (+ 1 (/ (* 2 x) (+ x -1))))))>
#<alt (- (log (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1))))) (log (+ 1 (/ (* 2 x) (+ x -1)))))>
#<alt (log (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1)))))>
#<alt (/ (* (* x x) 4) (* (- 1 x) (+ x -1)))>
#<alt (* x (+ 1/5 (* (* x x) 1/7)))>
#<alt (* (* x x) 1/7)>
#<alt (* x (* x (+ 1/5 (* (* x x) 1/7))))>
#<alt (* (* x x) 1/5)>
#<alt (+ 1/3 (* (* x x) 1/5))>
#<alt (log (+ 1 (/ (* 2 x) (+ x -1))))>
#<alt (* (* x x) 4)>

Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))>
#<alt 1>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* 1/5 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/5 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))>
#<alt 1>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/2 (- (log -3) (log 3)))>
#<alt (+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))>
#<alt (+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))>
#<alt (* 1/2 (- (log -3) (log 3)))>
#<alt (+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))>
#<alt (+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (- (log -3) (log 3))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))>
#<alt (- (log -3) (log 3))>
#<alt (- (+ (log -3) (* 2 (/ 1 x))) (log 3))>
#<alt (- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3))>
#<alt (- (+ (log -3) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) (log 3))>
#<alt (- (log -3) (log 3))>
#<alt (- (+ (log -3) (* 2 (/ 1 x))) (log 3))>
#<alt (- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3))>
#<alt (- (+ (log -3) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) (log 3))>
#<alt (* -4 (pow x 2))>
#<alt (* (pow x 2) (- (* -8 x) 4))>
#<alt (* (pow x 2) (- (* x (- (* -20 x) 8)) 4))>
#<alt (* (pow x 2) (- (* x (- (* x (- (* -48 x) 20)) 8)) 4))>
#<alt (log -3)>
#<alt (+ (log -3) (* 8/3 (/ 1 x)))>
#<alt (+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))>
#<alt (+ (log -3) (+ (/ 4/9 (pow x 2)) (+ (* 8/3 (/ 1 x)) (* 80/81 (/ 1 (pow x 3))))))>
#<alt (log -3)>
#<alt (+ (log -3) (* 8/3 (/ 1 x)))>
#<alt (+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))>
#<alt (+ (log -3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 80/81 (/ 1 x))) x)) 8/3) x)))>
#<alt (* -4 (pow x 2))>
#<alt (* (pow x 2) (- (* -8 x) 4))>
#<alt (* (pow x 2) (- (* x (- (* -12 x) 8)) 4))>
#<alt (* (pow x 2) (- (* x (- (* x (- (* -16 x) 12)) 8)) 4))>
#<alt -4>
#<alt (* -1 (+ 4 (* 8 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4)>
#<alt (- (* -1 (/ (+ 12 (* 16 (/ 1 x))) (pow x 2))) (+ 4 (* 8 (/ 1 x))))>
#<alt -4>
#<alt (* -1 (+ 4 (* 8 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4)>
#<alt (- (* -1 (/ (+ 8 (+ (* 12 (/ 1 x)) (/ 16 (pow x 2)))) x)) 4)>
#<alt (* 1/5 x)>
#<alt (* x (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* x (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* x (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* 1/7 (pow x 3))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/7 (pow x 3))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/5 (pow x 2)))>
#<alt (+ 1/3 (* 1/5 (pow x 2)))>
#<alt (+ 1/3 (* 1/5 (pow x 2)))>
#<alt (* 1/5 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/5 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* -2 x)>
#<alt (* x (- (* -4 x) 2))>
#<alt (* x (- (* x (- (* -26/3 x) 4)) 2))>
#<alt (* x (- (* x (- (* x (- (* -20 x) 26/3)) 4)) 2))>
#<alt (log 3)>
#<alt (+ (log 3) (* 2/3 (/ 1 x)))>
#<alt (+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))>
#<alt (+ (log 3) (+ (/ 4/9 (pow x 2)) (+ (* 2/3 (/ 1 x)) (* 26/81 (/ 1 (pow x 3))))))>
#<alt (log 3)>
#<alt (+ (log 3) (* 2/3 (/ 1 x)))>
#<alt (+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))>
#<alt (+ (log 3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) x)) 2/3) x)))>
#<alt (* 4 (pow x 2))>
#<alt (* 4 (pow x 2))>
#<alt (* 4 (pow x 2))>
#<alt (* 4 (pow x 2))>
#<alt (* 4 (pow x 2))>
#<alt (* 4 (pow x 2))>
#<alt (* 4 (pow x 2))>
#<alt (* 4 (pow x 2))>
#<alt (* 4 (pow x 2))>
#<alt (* 4 (pow x 2))>
#<alt (* 4 (pow x 2))>
#<alt (* 4 (pow x 2))>

Calls

63 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(* 1/2 (- (log (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1))))) (log (+ 1 (/ (* 2 x) (+ x -1))))))
2.0ms	x	@	-inf	(* 1/2 (- (log (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1))))) (log (+ 1 (/ (* 2 x) (+ x -1))))))
1.0ms	x	@	inf	(* 1/2 (- (log (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1))))) (log (+ 1 (/ (* 2 x) (+ x -1))))))
1.0ms	x	@	0	(* (* x x) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))
0.0ms	x	@	inf	(* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))))

rewrite386.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

5400×	`-lowering-.f32`
5400×	`-lowering-.f64`
2890×	`/-lowering-/.f32`
2890×	`/-lowering-/.f64`
2292×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	215
1	266	197
2	2671	182
0	9678	182

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 448

Calls

Call 1

Inputs
(* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))))
(+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))))
(* (* x x) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))
(* x x)
(* x (+ 1 (* 1/3 (* x x))))
(+ 1 (* 1/3 (* x x)))
(* 1/3 (* x x))
(* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) 1/5)))))
(+ 1 (* (* x x) (+ 1/3 (* (* x x) 1/5))))
(* (* x x) (+ 1/3 (* (* x x) 1/5)))
(* 1/2 (- (log (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1))))) (log (+ 1 (/ (* 2 x) (+ x -1))))))
(- (log (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1))))) (log (+ 1 (/ (* 2 x) (+ x -1)))))
(log (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1)))))
(/ (* (* x x) 4) (* (- 1 x) (+ x -1)))
(* x (+ 1/5 (* (* x x) 1/7)))
(* (* x x) 1/7)
(* x (* x (+ 1/5 (* (* x x) 1/7))))
(* (* x x) 1/5)
(+ 1/3 (* (* x x) 1/5))
(log (+ 1 (/ (* 2 x) (+ x -1))))
(* (* x x) 4)

Outputs
(+.f64 x (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 x (*.f64 x x))))
(+.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 x (*.f64 x x))) x)
(fma.f64 x #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 x (*.f64 x x))))
(fma.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))) x)
(fma.f64 #s(literal 1 binary64) x (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 x (*.f64 x x))))
(fma.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))) x)
(fma.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 x (.f64 x x)) x)
(fma.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))) x x)
(fma.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) x)
(fma.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))) (.f64 x x) x)
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 x (.f64 x x))) (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 x (.f64 x x)))))) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 x (.f64 x x)))) (.f64 x (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 x (*.f64 x x)))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 x (.f64 x x))))) (-.f64 x (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 x (*.f64 x x)))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))) (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 x (.f64 x x))) (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))) #s(literal 1 binary64)))))
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(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (*.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 x #s(literal -1 binary64)))))))))
(-.f64 (log1p.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (log1p.f64 (/.f64 (-.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -2 binary64))))))
(-.f64 (log1p.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (log.f64 (+.f64 (.f64 #s(literal 4 binary64) (.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 x #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))))))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 x #s(literal -1 binary64))))))) (log1p.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))))) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -2 binary64))))))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 x #s(literal -1 binary64)))))))) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))))))))
(-.f64 (log.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64))) (log.f64 (-.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x #s(literal -2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))))))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (*.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 x #s(literal -1 binary64)))))))))
(log1p.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))
(.f64 x (.f64 x #s(literal 4 binary64)))
(.f64 (.f64 x x) #s(literal 4 binary64))
(.f64 #s(literal 4 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 4 binary64)) x)

simplify315.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

3108×	`-lowering-.f32`
3108×	`-lowering-.f64`
2400×	`/-lowering-/.f32`
2400×	`/-lowering-/.f64`
2250×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	265	2192
1	821	1837
2	2280	1800
3	7626	1800
0	8281	1800

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* 1/3 (pow x 2)))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/2 (- (log -3) (log 3)))
(+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* 1/2 (- (log -3) (log 3)))
(+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (- (log -3) (log 3))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(- (log -3) (log 3))
(- (+ (log -3) (* 2 (/ 1 x))) (log 3))
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3))
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) (log 3))
(- (log -3) (log 3))
(- (+ (log -3) (* 2 (/ 1 x))) (log 3))
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3))
(- (+ (log -3) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) (log 3))
(* -4 (pow x 2))
(* (pow x 2) (- (* -8 x) 4))
(* (pow x 2) (- (* x (- (* -20 x) 8)) 4))
(* (pow x 2) (- (* x (- (* x (- (* -48 x) 20)) 8)) 4))
(log -3)
(+ (log -3) (* 8/3 (/ 1 x)))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (+ (* 8/3 (/ 1 x)) (* 80/81 (/ 1 (pow x 3))))))
(log -3)
(+ (log -3) (* 8/3 (/ 1 x)))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))
(+ (log -3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 80/81 (/ 1 x))) x)) 8/3) x)))
(* -4 (pow x 2))
(* (pow x 2) (- (* -8 x) 4))
(* (pow x 2) (- (* x (- (* -12 x) 8)) 4))
(* (pow x 2) (- (* x (- (* x (- (* -16 x) 12)) 8)) 4))
-4
(* -1 (+ 4 (* 8 (/ 1 x))))
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4)
(- (* -1 (/ (+ 12 (* 16 (/ 1 x))) (pow x 2))) (+ 4 (* 8 (/ 1 x))))
-4
(* -1 (+ 4 (* 8 (/ 1 x))))
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4)
(- (* -1 (/ (+ 8 (+ (* 12 (/ 1 x)) (/ 16 (pow x 2)))) x)) 4)
(* 1/5 x)
(* x (+ 1/5 (* 1/7 (pow x 2))))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(* 1/7 (pow x 3))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/7 (pow x 3))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
1/3
(+ 1/3 (* 1/5 (pow x 2)))
(+ 1/3 (* 1/5 (pow x 2)))
(+ 1/3 (* 1/5 (pow x 2)))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* -2 x)
(* x (- (* -4 x) 2))
(* x (- (* x (- (* -26/3 x) 4)) 2))
(* x (- (* x (- (* x (- (* -20 x) 26/3)) 4)) 2))
(log 3)
(+ (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (+ (* 2/3 (/ 1 x)) (* 26/81 (/ 1 (pow x 3))))))
(log 3)
(+ (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+ (log 3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) x)) 2/3) x)))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))

Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))))
(* 1/7 (pow x 7))
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/5 binary64) (*.f64 x x)) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* 1/7 (pow x 7))
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/5 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (*.f64 x x)) #s(literal -1/7 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 7 binary64))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/3 binary64))))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))))))
(* 1/7 (pow x 6))
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
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(* -4 (pow x 2))
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(* (pow x 2) (- (* -8 x) 4))
(.f64 x (.f64 x (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -8 binary64)))))
(* (pow x 2) (- (* x (- (* -20 x) 8)) 4))
(.f64 x (.f64 x (+.f64 #s(literal -4 binary64) (.f64 x (+.f64 #s(literal -8 binary64) (.f64 x #s(literal -20 binary64)))))))
(* (pow x 2) (- (* x (- (* x (- (* -48 x) 20)) 8)) 4))
(.f64 (.f64 x x) (+.f64 #s(literal -4 binary64) (.f64 x (+.f64 #s(literal -8 binary64) (.f64 x (+.f64 #s(literal -20 binary64) (*.f64 x #s(literal -48 binary64))))))))
(log -3)
(log.f64 #s(literal -3 binary64))
(+ (log -3) (* 8/3 (/ 1 x)))
(+.f64 (log.f64 #s(literal -3 binary64)) (/.f64 #s(literal 8/3 binary64) x))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))
(+.f64 (log.f64 #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 8/3 binary64) x) (/.f64 #s(literal 4/9 binary64) (*.f64 x x))))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (+ (* 8/3 (/ 1 x)) (* 80/81 (/ 1 (pow x 3))))))
(+.f64 (/.f64 #s(literal 8/3 binary64) x) (+.f64 (+.f64 (/.f64 #s(literal 4/9 binary64) (.f64 x x)) (/.f64 #s(literal 80/81 binary64) (.f64 x (*.f64 x x)))) (log.f64 #s(literal -3 binary64))))
(log -3)
(log.f64 #s(literal -3 binary64))
(+ (log -3) (* 8/3 (/ 1 x)))
(+.f64 (log.f64 #s(literal -3 binary64)) (/.f64 #s(literal 8/3 binary64) x))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))
(+.f64 (log.f64 #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 8/3 binary64) x) (/.f64 #s(literal 4/9 binary64) (*.f64 x x))))
(+ (log -3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 80/81 (/ 1 x))) x)) 8/3) x)))
(-.f64 (log.f64 #s(literal -3 binary64)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -4/9 binary64) (/.f64 #s(literal -80/81 binary64) x)) x) #s(literal -8/3 binary64)) x))
(* -4 (pow x 2))
(.f64 x (.f64 x #s(literal -4 binary64)))
(* (pow x 2) (- (* -8 x) 4))
(.f64 x (.f64 x (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -8 binary64)))))
(* (pow x 2) (- (* x (- (* -12 x) 8)) 4))
(.f64 (.f64 x x) (+.f64 #s(literal -4 binary64) (.f64 x (+.f64 #s(literal -8 binary64) (.f64 x #s(literal -12 binary64))))))
(* (pow x 2) (- (* x (- (* x (- (* -16 x) 12)) 8)) 4))
(.f64 x (.f64 x (+.f64 #s(literal -4 binary64) (.f64 x (+.f64 #s(literal -8 binary64) (.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal -16 binary64)))))))))
-4
#s(literal -4 binary64)
(* -1 (+ 4 (* 8 (/ 1 x))))
(+.f64 #s(literal -4 binary64) (/.f64 #s(literal -8 binary64) x))
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4)
(+.f64 #s(literal -4 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -12 binary64) x)) x))
(- (* -1 (/ (+ 12 (* 16 (/ 1 x))) (pow x 2))) (+ 4 (* 8 (/ 1 x))))
(+.f64 (/.f64 (+.f64 #s(literal -12 binary64) (/.f64 #s(literal -16 binary64) x)) (*.f64 x x)) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -8 binary64) x)))
-4
#s(literal -4 binary64)
(* -1 (+ 4 (* 8 (/ 1 x))))
(+.f64 #s(literal -4 binary64) (/.f64 #s(literal -8 binary64) x))
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4)
(+.f64 #s(literal -4 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -12 binary64) x)) x))
(- (* -1 (/ (+ 8 (+ (* 12 (/ 1 x)) (/ 16 (pow x 2)))) x)) 4)
(+.f64 #s(literal -4 binary64) (/.f64 (+.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -12 binary64) x)) (/.f64 #s(literal -16 binary64) (*.f64 x x))) x))
(* 1/5 x)
(*.f64 x #s(literal 1/5 binary64))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))
(* 1/7 (pow x 3))
(.f64 #s(literal 1/7 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))
(* 1/7 (pow x 3))
(.f64 #s(literal 1/7 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* 1/5 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5 binary64))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))
(* 1/7 (pow x 4))
(.f64 x (.f64 #s(literal 1/7 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* 1/7 (pow x 4))
(.f64 x (.f64 #s(literal 1/7 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* 1/5 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5 binary64))
(* 1/5 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5 binary64))
(* 1/5 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5 binary64))
(* 1/5 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5 binary64))
(* 1/5 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5 binary64))
(* 1/5 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5 binary64))
(* 1/5 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5 binary64))
(* 1/5 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5 binary64))
(* 1/5 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5 binary64))
(* 1/5 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5 binary64))
(* 1/5 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5 binary64))
(* 1/5 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/5 (pow x 2)))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))
(+ 1/3 (* 1/5 (pow x 2)))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))
(+ 1/3 (* 1/5 (pow x 2)))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))
(* 1/5 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5 binary64))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))
(* 1/5 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5 binary64))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- (* -4 x) 2))
(.f64 x (+.f64 #s(literal -2 binary64) (.f64 x #s(literal -4 binary64))))
(* x (- (* x (- (* -26/3 x) 4)) 2))
(.f64 x (+.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -26/3 binary64))))))
(* x (- (* x (- (* x (- (* -20 x) 26/3)) 4)) 2))
(.f64 x (+.f64 #s(literal -2 binary64) (.f64 x (+.f64 #s(literal -4 binary64) (.f64 x (+.f64 (.f64 x #s(literal -20 binary64)) #s(literal -26/3 binary64)))))))
(log 3)
(log.f64 #s(literal 3 binary64))
(+ (log 3) (* 2/3 (/ 1 x)))
(+.f64 (log.f64 #s(literal 3 binary64)) (/.f64 #s(literal 2/3 binary64) x))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+.f64 (/.f64 #s(literal 4/9 binary64) (*.f64 x x)) (+.f64 (log.f64 #s(literal 3 binary64)) (/.f64 #s(literal 2/3 binary64) x)))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (+ (* 2/3 (/ 1 x)) (* 26/81 (/ 1 (pow x 3))))))
(+.f64 (+.f64 (log.f64 #s(literal 3 binary64)) (/.f64 #s(literal 2/3 binary64) x)) (+.f64 (/.f64 #s(literal 4/9 binary64) (.f64 x x)) (/.f64 #s(literal 26/81 binary64) (.f64 x (*.f64 x x)))))
(log 3)
(log.f64 #s(literal 3 binary64))
(+ (log 3) (* 2/3 (/ 1 x)))
(+.f64 (log.f64 #s(literal 3 binary64)) (/.f64 #s(literal 2/3 binary64) x))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+.f64 (/.f64 #s(literal 4/9 binary64) (*.f64 x x)) (+.f64 (log.f64 #s(literal 3 binary64)) (/.f64 #s(literal 2/3 binary64) x)))
(+ (log 3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) x)) 2/3) x)))
(-.f64 (log.f64 #s(literal 3 binary64)) (/.f64 (-.f64 #s(literal -2/3 binary64) (/.f64 (+.f64 #s(literal 4/9 binary64) (/.f64 #s(literal 26/81 binary64) x)) x)) x))
(* 4 (pow x 2))
(.f64 x (.f64 x #s(literal 4 binary64)))
(* 4 (pow x 2))
(.f64 x (.f64 x #s(literal 4 binary64)))
(* 4 (pow x 2))
(.f64 x (.f64 x #s(literal 4 binary64)))
(* 4 (pow x 2))
(.f64 x (.f64 x #s(literal 4 binary64)))
(* 4 (pow x 2))
(.f64 x (.f64 x #s(literal 4 binary64)))
(* 4 (pow x 2))
(.f64 x (.f64 x #s(literal 4 binary64)))
(* 4 (pow x 2))
(.f64 x (.f64 x #s(literal 4 binary64)))
(* 4 (pow x 2))
(.f64 x (.f64 x #s(literal 4 binary64)))
(* 4 (pow x 2))
(.f64 x (.f64 x #s(literal 4 binary64)))
(* 4 (pow x 2))
(.f64 x (.f64 x #s(literal 4 binary64)))
(* 4 (pow x 2))
(.f64 x (.f64 x #s(literal 4 binary64)))
(* 4 (pow x 2))
(.f64 x (.f64 x #s(literal 4 binary64)))

eval171.0ms (2.1%)

Compiler: Compiled 20944 to 2255 computations (89.2% saved)

prune100.0ms (1.2%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	807	3	810
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	808	8	816

Accuracy

100.0%

Counts

816 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))) x)
▶	48.4%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))) (-.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))))))
▶	99.6%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))) (.f64 x x)) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))))
✓	99.5%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))))
✓	99.6%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))
✓	99.6%	(.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64))))))
✓	100.0%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	99.3%	x

Compiler

Compiled 203 to 97 computations (52.2% saved)

simplify211.0ms (2.6%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x #s(literal 1/3 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 1/3 binary64)))
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64))))
✓	cost-diff	0	(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))) x)
✓	cost-diff	512	(-.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))
✓	cost-diff	1280	(/.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))) (-.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))
✓	cost-diff	1280	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))) (-.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))
✓	cost-diff	1280	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))) (-.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))))))
✓	cost-diff	0	(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))) (*.f64 x x))
✓	cost-diff	0	(/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))) (.f64 x x)) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))) (.f64 x x)) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))) (.f64 x x)) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))))

Rules

4992×	`-lowering-.f32`
4992×	`-lowering-.f64`
1684×	`/-lowering-/.f32`
1684×	`/-lowering-/.f64`
1288×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	462
1	122	349
2	535	332
3	3483	332
0	8495	332

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x (+ 1 (/ (* (- 1/9 (* (* x x) (* (+ 1/5 (* (* x x) 1/7)) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))))
x
(+ 1 (/ (* (- 1/9 (* (* x x) (* (+ 1/5 (* (* x x) 1/7)) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))))
1
(/ (* (- 1/9 (* (* x x) (* (+ 1/5 (* (* x x) 1/7)) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))
(* (- 1/9 (* (* x x) (* (+ 1/5 (* (* x x) 1/7)) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))) (* x x))
(- 1/9 (* (* x x) (* (+ 1/5 (* (* x x) 1/7)) (* (* x x) (+ 1/5 (* (* x x) 1/7))))))
1/9
(* (* x x) (* (+ 1/5 (* (* x x) 1/7)) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))
(* x x)
(* (+ 1/5 (* (* x x) 1/7)) (* (* x x) (+ 1/5 (* (* x x) 1/7))))
(+ 1/5 (* (* x x) 1/7))
1/5
(* (* x x) 1/7)
1/7
(* (* x x) (+ 1/5 (* (* x x) 1/7)))
(- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))
1/3
(* x (+ 1 (/ (- (* 1/9 (* (* x x) (* x x))) (* (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))) (- (* x (* x 1/3)) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7))))))))
x
(+ 1 (/ (- (* 1/9 (* (* x x) (* x x))) (* (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))) (- (* x (* x 1/3)) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))))
1
(/ (- (* 1/9 (* (* x x) (* x x))) (* (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))) (- (* x (* x 1/3)) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7))))))
(- (* 1/9 (* (* x x) (* x x))) (* (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7))))))
(* 1/9 (* (* x x) (* x x)))
1/9
(* (* x x) (* x x))
(* x x)
(* (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))
(* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7))))
(* (* x x) (+ 1/5 (* (* x x) 1/7)))
(+ 1/5 (* (* x x) 1/7))
1/5
(* (* x x) 1/7)
1/7
(- (* x (* x 1/3)) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))
(* x (* x 1/3))
(* x 1/3)
1/3
(+ (* x (* x (* x 1/3))) x)
(* x (* x (* x 1/3)))
x
(* x (* x 1/3))
(* x 1/3)
1/3

Outputs
(* x (+ 1 (/ (* (- 1/9 (* (* x x) (* (+ 1/5 (* (* x x) 1/7)) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (-.f64 #s(literal -1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))))) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (-.f64 #s(literal -1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))))
x
(+ 1 (/ (* (- 1/9 (* (* x x) (* (+ 1/5 (* (* x x) 1/7)) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (-.f64 #s(literal -1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))))) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (-.f64 #s(literal -1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))
1
#s(literal 1 binary64)
(/ (* (- 1/9 (* (* x x) (* (+ 1/5 (* (* x x) 1/7)) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (-.f64 #s(literal -1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))))) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (-.f64 #s(literal -1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))
(* (- 1/9 (* (* x x) (* (+ 1/5 (* (* x x) 1/7)) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))) (* x x))
(.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (-.f64 #s(literal -1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))
(- 1/9 (* (* x x) (* (+ 1/5 (* (* x x) 1/7)) (* (* x x) (+ 1/5 (* (* x x) 1/7))))))
(+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (-.f64 #s(literal -1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))
1/9
#s(literal 1/9 binary64)
(* (* x x) (* (+ 1/5 (* (* x x) 1/7)) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))
(.f64 (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (.f64 x (.f64 x x))) (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))
(* x x)
(*.f64 x x)
(* (+ 1/5 (* (* x x) 1/7)) (* (* x x) (+ 1/5 (* (* x x) 1/7))))
(.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))
(+ 1/5 (* (* x x) 1/7))
(+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))
1/5
#s(literal 1/5 binary64)
(* (* x x) 1/7)
(.f64 (.f64 x x) #s(literal 1/7 binary64))
1/7
#s(literal 1/7 binary64)
(* (* x x) (+ 1/5 (* (* x x) 1/7)))
(.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))
(- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (-.f64 #s(literal -1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))
1/3
#s(literal 1/3 binary64)
(* x (+ 1 (/ (- (* 1/9 (* (* x x) (* x x))) (* (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))) (- (* x (* x 1/3)) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (-.f64 #s(literal -1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))))) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (-.f64 #s(literal -1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))))
x
(+ 1 (/ (- (* 1/9 (* (* x x) (* x x))) (* (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))) (- (* x (* x 1/3)) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (-.f64 #s(literal -1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))))) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (-.f64 #s(literal -1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))
1
#s(literal 1 binary64)
(/ (- (* 1/9 (* (* x x) (* x x))) (* (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))) (- (* x (* x 1/3)) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7))))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (-.f64 #s(literal -1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))))) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (-.f64 #s(literal -1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))
(- (* 1/9 (* (* x x) (* x x))) (* (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7))))))
(.f64 x (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (-.f64 #s(literal -1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))) (.f64 x (*.f64 x x))))
(* 1/9 (* (* x x) (* x x)))
(.f64 x (.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x x))))
1/9
#s(literal 1/9 binary64)
(* (* x x) (* x x))
(.f64 x (.f64 x (*.f64 x x)))
(* x x)
(*.f64 x x)
(* (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (.f64 x (.f64 x x))) (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))
(* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7))))
(.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (.f64 x (.f64 x (.f64 x x))))
(* (* x x) (+ 1/5 (* (* x x) 1/7)))
(.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))
(+ 1/5 (* (* x x) 1/7))
(+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))
1/5
#s(literal 1/5 binary64)
(* (* x x) 1/7)
(.f64 (.f64 x x) #s(literal 1/7 binary64))
1/7
#s(literal 1/7 binary64)
(- (* x (* x 1/3)) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (-.f64 #s(literal -1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))
(* x (* x 1/3))
(.f64 (.f64 x x) #s(literal 1/3 binary64))
(* x 1/3)
(*.f64 x #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(+ (* x (* x (* x 1/3))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64))))
(* x (* x (* x 1/3)))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64)))
x
(* x (* x 1/3))
(.f64 (.f64 x x) #s(literal 1/3 binary64))
(* x 1/3)
(*.f64 x #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)

localize247.0ms (3%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))) x)
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64))))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/3 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/3 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/7 binary64))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/3 binary64))
✓	accuracy	26.8%	(/.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))) (-.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))
✓	accuracy	99.7%	(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))) (*.f64 x x))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/7 binary64))
✓	accuracy	99.7%	(/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))) (.f64 x x)) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))
✓	accuracy	99.7%	(.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))

Results

155.0ms

256×

valid

Compiler

Compiled 663 to 32 computations (95.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 24.0ms (42.2% of total)

...c/correct-round.rkt:119:19: 20.0ms (35.2% of total)

ival-sub: 5.0ms (8.8% of total)

ival-add: 5.0ms (8.8% of total)

ival-div: 3.0ms (5.3% of total)

const: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Counts

15 → 180

Calls

Call 1

Inputs
#<alt (* x (+ 1 (/ (* (- 1/9 (* (* x x) (* (+ 1/5 (* (* x x) 1/7)) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))))>
#<alt (+ 1 (/ (* (- 1/9 (* (* x x) (* (+ 1/5 (* (* x x) 1/7)) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))))>
#<alt (/ (* (- 1/9 (* (* x x) (* (+ 1/5 (* (* x x) 1/7)) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))>
#<alt (* (- 1/9 (* (* x x) (* (+ 1/5 (* (* x x) 1/7)) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))) (* x x))>
#<alt (* x (+ 1 (/ (- (* 1/9 (* (* x x) (* x x))) (* (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))) (- (* x (* x 1/3)) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7))))))))>
#<alt (+ 1 (/ (- (* 1/9 (* (* x x) (* x x))) (* (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))) (- (* x (* x 1/3)) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))))>
#<alt (/ (- (* 1/9 (* (* x x) (* x x))) (* (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))) (- (* x (* x 1/3)) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7))))))>
#<alt (- (* 1/9 (* (* x x) (* x x))) (* (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7))))))>
#<alt (+ (* x (* x (* x 1/3))) x)>
#<alt (* x (* x (* x 1/3)))>
#<alt (* x (* x 1/3))>
#<alt (* x 1/3)>
#<alt (* (+ 1/5 (* (* x x) 1/7)) (* (* x x) (+ 1/5 (* (* x x) 1/7))))>
#<alt (* (* x x) 1/7)>
#<alt (* (* x x) (+ 1/5 (* (* x x) 1/7)))>

Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))>
#<alt 1>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/9 (pow x 2))>
#<alt (* (pow x 2) (+ 1/9 (* -1/25 (pow x 4))))>
#<alt (* (pow x 2) (+ 1/9 (* (pow x 4) (- (* -2/35 (pow x 2)) 1/25))))>
#<alt (* (pow x 2) (+ 1/9 (* (pow x 4) (- (* (pow x 2) (- (* -1/49 (pow x 2)) 2/35)) 1/25))))>
#<alt (* -1/49 (pow x 10))>
#<alt (* -1 (* (pow x 10) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (- (* -1 (/ (+ 2/35 (* 1/25 (/ 1 (pow x 2)))) (pow x 2))) 1/49))>
#<alt (* (pow x 10) (- (* 1/9 (/ 1 (pow x 8))) (+ 1/49 (+ (/ 1/25 (pow x 4)) (* 2/35 (/ 1 (pow x 2)))))))>
#<alt (* -1/49 (pow x 10))>
#<alt (* -1 (* (pow x 10) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (- (* -1 (/ (+ 2/35 (* 1/25 (/ 1 (pow x 2)))) (pow x 2))) 1/49))>
#<alt (* (pow x 10) (- (* 1/9 (/ 1 (pow x 8))) (+ 1/49 (+ (/ 1/25 (pow x 4)) (* 2/35 (/ 1 (pow x 2)))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))>
#<alt 1>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/9 (pow x 4))>
#<alt (* (pow x 4) (+ 1/9 (* -1/25 (pow x 4))))>
#<alt (* (pow x 4) (+ 1/9 (* (pow x 4) (- (* -2/35 (pow x 2)) 1/25))))>
#<alt (* (pow x 4) (+ 1/9 (* (pow x 4) (- (* (pow x 2) (- (* -1/49 (pow x 2)) 2/35)) 1/25))))>
#<alt (* -1/49 (pow x 12))>
#<alt (* -1 (* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 2/35 (* 1/25 (/ 1 (pow x 2)))) (pow x 2))) 1/49))>
#<alt (* (pow x 12) (- (* 1/9 (/ 1 (pow x 8))) (+ 1/49 (+ (/ 1/25 (pow x 4)) (* 2/35 (/ 1 (pow x 2)))))))>
#<alt (* -1/49 (pow x 12))>
#<alt (* -1 (* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 2/35 (* 1/25 (/ 1 (pow x 2)))) (pow x 2))) 1/49))>
#<alt (* (pow x 12) (- (* 1/9 (/ 1 (pow x 8))) (+ 1/49 (+ (/ 1/25 (pow x 4)) (* 2/35 (/ 1 (pow x 2)))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/25 (pow x 2))>
#<alt (* (pow x 2) (+ 1/25 (* 2/35 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/25 (* (pow x 2) (+ 2/35 (* 1/49 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/25 (* (pow x 2) (+ 2/35 (* 1/49 (pow x 2))))))>
#<alt (* 1/49 (pow x 6))>
#<alt (* (pow x 6) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/49 (+ (/ 1/25 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/49 (+ (/ 1/25 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* 1/49 (pow x 6))>
#<alt (* (pow x 6) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/49 (+ (/ 1/25 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/49 (+ (/ 1/25 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>

Calls

45 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* x (+ 1 (/ (- (* 1/9 (* (* x x) (* x x))) (* (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))) (- (* x (* x 1/3)) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7))))))))
0.0ms	x	@	inf	(* x (+ 1 (/ (* (- 1/9 (* (* x x) (* (+ 1/5 (* (* x x) 1/7)) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))))
0.0ms	x	@	inf	(/ (* (- 1/9 (* (* x x) (* (+ 1/5 (* (* x x) 1/7)) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))
0.0ms	x	@	0	(* x (+ 1 (/ (- (* 1/9 (* (* x x) (* x x))) (* (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))) (- (* x (* x 1/3)) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7))))))))
0.0ms	x	@	inf	(/ (- (* 1/9 (* (* x x) (* x x))) (* (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))) (- (* x (* x 1/3)) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7))))))

rewrite553.0ms (6.7%)

Algorithm

1×	batch-egg-rewrite

Rules

7062×	`-lowering-.f32`
7062×	`-lowering-.f64`
2856×	`/-lowering-/.f32`
2856×	`/-lowering-/.f64`
2482×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	317
1	248	164
2	2521	147
0	11237	147

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 515

Calls

Call 1

Inputs
(* x (+ 1 (/ (* (- 1/9 (* (* x x) (* (+ 1/5 (* (* x x) 1/7)) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))))
(+ 1 (/ (* (- 1/9 (* (* x x) (* (+ 1/5 (* (* x x) 1/7)) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))))
(/ (* (- 1/9 (* (* x x) (* (+ 1/5 (* (* x x) 1/7)) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))
(* (- 1/9 (* (* x x) (* (+ 1/5 (* (* x x) 1/7)) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))) (* x x))
(* x (+ 1 (/ (- (* 1/9 (* (* x x) (* x x))) (* (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))) (- (* x (* x 1/3)) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7))))))))
(+ 1 (/ (- (* 1/9 (* (* x x) (* x x))) (* (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))) (- (* x (* x 1/3)) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))))
(/ (- (* 1/9 (* (* x x) (* x x))) (* (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))) (- (* x (* x 1/3)) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7))))))
(- (* 1/9 (* (* x x) (* x x))) (* (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7))))))
(+ (* x (* x (* x 1/3))) x)
(* x (* x (* x 1/3)))
(* x (* x 1/3))
(* x 1/3)
(* (+ 1/5 (* (* x x) 1/7)) (* (* x x) (+ 1/5 (* (* x x) 1/7))))
(* (* x x) 1/7)
(* (* x x) (+ 1/5 (* (* x x) 1/7)))

Outputs
(+.f64 x (.f64 x (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))) #s(literal 1/3 binary64)))))
(+.f64 (.f64 x (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))) #s(literal 1/3 binary64)))) x)
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))) #s(literal 1/3 binary64)))))
(fma.f64 x (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))) #s(literal 1/3 binary64))) x)
(fma.f64 #s(literal 1 binary64) x (.f64 x (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))) #s(literal 1/3 binary64)))))
(fma.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))) (.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))))) x) x)
(fma.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) x) x)
(fma.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))) #s(literal 1/3 binary64))) x x)
(fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))) x) x)
(fma.f64 (.f64 x (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))) (/.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))))) x)
(fma.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))) x)
(fma.f64 (.f64 x (.f64 (.f64 x x) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) x)
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))) #s(literal 1/3 binary64))) (.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))) #s(literal 1/3 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))) #s(literal 1/3 binary64))))) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))) #s(literal 1/3 binary64)))) (.f64 x (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))) #s(literal 1/3 binary64))))) (.f64 x (.f64 x (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))) #s(literal 1/3 binary64))))))))
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(fma.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))) #s(literal 1/3 binary64))) (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (+.f64 (.f64 (neg.f64 (.f64 (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 x (.f64 x (.f64 x x))))) (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 x (.f64 x (.f64 x x)))))))
(fma.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))) #s(literal 1/3 binary64))) (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 x (.f64 x (.f64 x x)))))))
(fma.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))) #s(literal 1/3 binary64))) (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))) (.f64 (.f64 x x) (.f64 (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 x (.f64 x (.f64 x x)))))))
(fma.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))) #s(literal 1/3 binary64))) (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 x (.f64 x (.f64 x x))))))))
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(fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/9 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 x (.f64 x (.f64 x x))))))))
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(fma.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (.f64 x (.f64 x (.f64 x x)))))))
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(.f64 (.f64 x #s(literal 1/3 binary64)) x)
(*.f64 x #s(literal 1/3 binary64))
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(fma.f64 (.f64 x (.f64 x #s(literal 1/7 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))) (.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))))
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(fma.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))) (.f64 x (.f64 x #s(literal 1/7 binary64))) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))) #s(literal 1/5 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/5 binary64)) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))))
(/.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))) (+.f64 #s(literal 1/125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64))))) (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/7 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/7 binary64))) #s(literal 1/5 binary64)))))
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(/.f64 (.f64 (+.f64 #s(literal 1/125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/7 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/7 binary64))) #s(literal 1/5 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/49 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal -1/7 binary64) (*.f64 x x))))
(pow.f64 (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))) #s(literal 2 binary64))
(.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))))
(.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))))
(.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))))
(.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))
(.f64 (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))) (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))))
(.f64 (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))) (*.f64 x x))
(.f64 x (.f64 x #s(literal 1/7 binary64)))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(.f64 #s(literal 1/7 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/7 binary64)) x)
(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (.f64 x x) #s(literal 1/5 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/5 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/7 binary64)))))
(fma.f64 x (.f64 x #s(literal 1/5 binary64)) (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))
(fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(fma.f64 x (.f64 (.f64 x #s(literal 1/7 binary64)) (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(fma.f64 (.f64 x x) #s(literal 1/5 binary64) (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))
(fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/7 binary64))) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(fma.f64 #s(literal 1/5 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))
(fma.f64 #s(literal 1/7 binary64) (.f64 x (.f64 x (.f64 x x))) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal 1/7 binary64))) (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/7 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/7 binary64)) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(fma.f64 (.f64 #s(literal 1/5 binary64) x) x (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))
(fma.f64 (.f64 (.f64 x (.f64 x #s(literal 1/7 binary64))) x) x (.f64 (*.f64 x x) #s(literal 1/5 binary64)))
(/.f64 (+.f64 (.f64 #s(literal 1/125 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/5 binary64)) (.f64 (.f64 x x) #s(literal 1/5 binary64))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/7 binary64))))) (.f64 (.f64 (.f64 x x) #s(literal 1/5 binary64)) (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/7 binary64))))))))
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(/.f64 (.f64 (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/49 binary64))) (.f64 x x)) (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal -1/7 binary64) (.f64 x x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))
(.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))) x)

simplify255.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

4314×	`-lowering-.f32`
4314×	`-lowering-.f64`
3252×	`+-lowering-+.f64`
3252×	`+-lowering-+.f32`
1532×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	135	1830
1	439	1558
2	1354	1521
3	4160	1513
0	8331	1513

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/9 (pow x 2))
(* (pow x 2) (+ 1/9 (* -1/25 (pow x 4))))
(* (pow x 2) (+ 1/9 (* (pow x 4) (- (* -2/35 (pow x 2)) 1/25))))
(* (pow x 2) (+ 1/9 (* (pow x 4) (- (* (pow x 2) (- (* -1/49 (pow x 2)) 2/35)) 1/25))))
(* -1/49 (pow x 10))
(* -1 (* (pow x 10) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 10) (- (* -1 (/ (+ 2/35 (* 1/25 (/ 1 (pow x 2)))) (pow x 2))) 1/49))
(* (pow x 10) (- (* 1/9 (/ 1 (pow x 8))) (+ 1/49 (+ (/ 1/25 (pow x 4)) (* 2/35 (/ 1 (pow x 2)))))))
(* -1/49 (pow x 10))
(* -1 (* (pow x 10) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 10) (- (* -1 (/ (+ 2/35 (* 1/25 (/ 1 (pow x 2)))) (pow x 2))) 1/49))
(* (pow x 10) (- (* 1/9 (/ 1 (pow x 8))) (+ 1/49 (+ (/ 1/25 (pow x 4)) (* 2/35 (/ 1 (pow x 2)))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/9 (pow x 4))
(* (pow x 4) (+ 1/9 (* -1/25 (pow x 4))))
(* (pow x 4) (+ 1/9 (* (pow x 4) (- (* -2/35 (pow x 2)) 1/25))))
(* (pow x 4) (+ 1/9 (* (pow x 4) (- (* (pow x 2) (- (* -1/49 (pow x 2)) 2/35)) 1/25))))
(* -1/49 (pow x 12))
(* -1 (* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 12) (- (* -1 (/ (+ 2/35 (* 1/25 (/ 1 (pow x 2)))) (pow x 2))) 1/49))
(* (pow x 12) (- (* 1/9 (/ 1 (pow x 8))) (+ 1/49 (+ (/ 1/25 (pow x 4)) (* 2/35 (/ 1 (pow x 2)))))))
(* -1/49 (pow x 12))
(* -1 (* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 12) (- (* -1 (/ (+ 2/35 (* 1/25 (/ 1 (pow x 2)))) (pow x 2))) 1/49))
(* (pow x 12) (- (* 1/9 (/ 1 (pow x 8))) (+ 1/49 (+ (/ 1/25 (pow x 4)) (* 2/35 (/ 1 (pow x 2)))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/25 (pow x 2))
(* (pow x 2) (+ 1/25 (* 2/35 (pow x 2))))
(* (pow x 2) (+ 1/25 (* (pow x 2) (+ 2/35 (* 1/49 (pow x 2))))))
(* (pow x 2) (+ 1/25 (* (pow x 2) (+ 2/35 (* 1/49 (pow x 2))))))
(* 1/49 (pow x 6))
(* (pow x 6) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/49 (+ (/ 1/25 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/49 (+ (/ 1/25 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(* 1/49 (pow x 6))
(* (pow x 6) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/49 (+ (/ 1/25 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/49 (+ (/ 1/25 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))

Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))
(* 1/7 (pow x 7))
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 1/7 binary64) (/.f64 #s(literal -1/5 binary64) (.f64 x x))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* 1/7 (pow x 7))
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 1/7 binary64) (/.f64 #s(literal -1/5 binary64) (.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/7 binary64) (/.f64 (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (-.f64 #s(literal 1/7 binary64) (/.f64 #s(literal -1/5 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x)))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))))
(* 1/7 (pow x 6))
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/7 binary64) (/.f64 #s(literal -1/5 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64))))
(* 1/7 (pow x 6))
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/7 binary64) (/.f64 #s(literal -1/5 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64))))
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))
(* 1/7 (pow x 6))
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/7 binary64) (/.f64 #s(literal -1/5 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* 1/7 (pow x 6))
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/7 binary64) (/.f64 #s(literal -1/5 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* 1/9 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/9 binary64))
(* (pow x 2) (+ 1/9 (* -1/25 (pow x 4))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/25 binary64))))
(* (pow x 2) (+ 1/9 (* (pow x 4) (- (* -2/35 (pow x 2)) 1/25))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/25 binary64) (.f64 x (.f64 x #s(literal -2/35 binary64)))))))
(* (pow x 2) (+ 1/9 (* (pow x 4) (- (* (pow x 2) (- (* -1/49 (pow x 2)) 2/35)) 1/25))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/25 binary64) (.f64 x (.f64 x (+.f64 #s(literal -2/35 binary64) (.f64 (.f64 x x) #s(literal -1/49 binary64)))))))))
(* -1/49 (pow x 10))
(*.f64 #s(literal -1/49 binary64) (pow.f64 x #s(literal 10 binary64)))
(* -1 (* (pow x 10) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal -1/49 binary64) (/.f64 #s(literal -2/35 binary64) (.f64 x x))))
(* (pow x 10) (- (* -1 (/ (+ 2/35 (* 1/25 (/ 1 (pow x 2)))) (pow x 2))) 1/49))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal -1/49 binary64) (/.f64 (+.f64 #s(literal -2/35 binary64) (/.f64 #s(literal -1/25 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 10) (- (* 1/9 (/ 1 (pow x 8))) (+ 1/49 (+ (/ 1/25 (pow x 4)) (* 2/35 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal -1/49 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal -2/35 binary64) (.f64 x x)) (/.f64 #s(literal -1/25 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(* -1/49 (pow x 10))
(*.f64 #s(literal -1/49 binary64) (pow.f64 x #s(literal 10 binary64)))
(* -1 (* (pow x 10) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal -1/49 binary64) (/.f64 #s(literal -2/35 binary64) (.f64 x x))))
(* (pow x 10) (- (* -1 (/ (+ 2/35 (* 1/25 (/ 1 (pow x 2)))) (pow x 2))) 1/49))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal -1/49 binary64) (/.f64 (+.f64 #s(literal -2/35 binary64) (/.f64 #s(literal -1/25 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 10) (- (* 1/9 (/ 1 (pow x 8))) (+ 1/49 (+ (/ 1/25 (pow x 4)) (* 2/35 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal -1/49 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal -2/35 binary64) (.f64 x x)) (/.f64 #s(literal -1/25 binary64) (.f64 x (.f64 x (.f64 x x))))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))
(* 1/7 (pow x 7))
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 1/7 binary64) (/.f64 #s(literal -1/5 binary64) (.f64 x x))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* 1/7 (pow x 7))
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 1/7 binary64) (/.f64 #s(literal -1/5 binary64) (.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/7 binary64) (/.f64 (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (-.f64 #s(literal 1/7 binary64) (/.f64 #s(literal -1/5 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x)))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64)))))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))))
(* 1/7 (pow x 6))
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/7 binary64) (/.f64 #s(literal -1/5 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64))))
(* 1/7 (pow x 6))
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/7 binary64) (/.f64 #s(literal -1/5 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64))))
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))
(* 1/7 (pow x 6))
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/7 binary64) (/.f64 #s(literal -1/5 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* 1/7 (pow x 6))
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/7 binary64) (/.f64 #s(literal -1/5 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* 1/9 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/9 binary64))
(* (pow x 4) (+ 1/9 (* -1/25 (pow x 4))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/25 binary64))))
(* (pow x 4) (+ 1/9 (* (pow x 4) (- (* -2/35 (pow x 2)) 1/25))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/25 binary64) (.f64 x (.f64 x #s(literal -2/35 binary64)))))))
(* (pow x 4) (+ 1/9 (* (pow x 4) (- (* (pow x 2) (- (* -1/49 (pow x 2)) 2/35)) 1/25))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/25 binary64) (.f64 x (.f64 x (+.f64 #s(literal -2/35 binary64) (.f64 (.f64 x x) #s(literal -1/49 binary64)))))))))
(* -1/49 (pow x 12))
(*.f64 #s(literal -1/49 binary64) (pow.f64 x #s(literal 12 binary64)))
(* -1 (* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal -1/49 binary64) (/.f64 #s(literal -2/35 binary64) (.f64 x x))))
(* (pow x 12) (- (* -1 (/ (+ 2/35 (* 1/25 (/ 1 (pow x 2)))) (pow x 2))) 1/49))
(.f64 (+.f64 #s(literal -1/49 binary64) (/.f64 (+.f64 #s(literal -2/35 binary64) (/.f64 #s(literal -1/25 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (- (* 1/9 (/ 1 (pow x 8))) (+ 1/49 (+ (/ 1/25 (pow x 4)) (* 2/35 (/ 1 (pow x 2)))))))
(.f64 (+.f64 #s(literal -1/49 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal -2/35 binary64) (.f64 x x)) (/.f64 #s(literal -1/25 binary64) (.f64 x (.f64 x (.f64 x x))))))) (pow.f64 x #s(literal 12 binary64)))
(* -1/49 (pow x 12))
(*.f64 #s(literal -1/49 binary64) (pow.f64 x #s(literal 12 binary64)))
(* -1 (* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal -1/49 binary64) (/.f64 #s(literal -2/35 binary64) (.f64 x x))))
(* (pow x 12) (- (* -1 (/ (+ 2/35 (* 1/25 (/ 1 (pow x 2)))) (pow x 2))) 1/49))
(.f64 (+.f64 #s(literal -1/49 binary64) (/.f64 (+.f64 #s(literal -2/35 binary64) (/.f64 #s(literal -1/25 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (- (* 1/9 (/ 1 (pow x 8))) (+ 1/49 (+ (/ 1/25 (pow x 4)) (* 2/35 (/ 1 (pow x 2)))))))
(.f64 (+.f64 #s(literal -1/49 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal -2/35 binary64) (.f64 x x)) (/.f64 #s(literal -1/25 binary64) (.f64 x (.f64 x (.f64 x x))))))) (pow.f64 x #s(literal 12 binary64)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* 1/3 (pow x 3))
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* 1/3 (pow x 3))
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* 1/3 (pow x 3))
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
(* 1/3 (pow x 3))
(.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x x)))
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/25 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/25 binary64))
(* (pow x 2) (+ 1/25 (* 2/35 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 x x) #s(literal 2/35 binary64))))
(* (pow x 2) (+ 1/25 (* (pow x 2) (+ 2/35 (* 1/49 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/25 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/35 binary64) (.f64 (.f64 x x) #s(literal 1/49 binary64)))))))
(* (pow x 2) (+ 1/25 (* (pow x 2) (+ 2/35 (* 1/49 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/25 binary64) (.f64 x (.f64 x (+.f64 #s(literal 2/35 binary64) (.f64 (.f64 x x) #s(literal 1/49 binary64)))))))
(* 1/49 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/49 binary64))
(* (pow x 6) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/49 binary64) (/.f64 #s(literal 2/35 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/49 (+ (/ 1/25 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/49 binary64) (/.f64 #s(literal 2/35 binary64) (.f64 x x))) (/.f64 #s(literal 1/25 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/49 (+ (/ 1/25 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/49 binary64) (/.f64 #s(literal 2/35 binary64) (.f64 x x))) (/.f64 #s(literal 1/25 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* 1/49 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/49 binary64))
(* (pow x 6) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/49 binary64) (/.f64 #s(literal 2/35 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/49 (+ (/ 1/25 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/49 binary64) (/.f64 #s(literal 2/35 binary64) (.f64 x x))) (/.f64 #s(literal 1/25 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/49 (+ (/ 1/25 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/49 binary64) (/.f64 #s(literal 2/35 binary64) (.f64 x x))) (/.f64 #s(literal 1/25 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* 1/5 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5 binary64))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))
(* 1/7 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/7 binary64))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))
(* 1/7 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/7 binary64))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))

eval151.0ms (1.8%)

Compiler: Compiled 61890 to 2434 computations (96.1% saved)

prune76.0ms (0.9%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	945	4	949
Fresh	0	0	0
Picked	2	1	3
Done	0	5	5
Total	947	10	957

Accuracy

100.0%

Counts

957 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))) x)
▶	99.6%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (.f64 (.f64 x x) #s(literal 1/5 binary64))))) (.f64 x x)) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))))
▶	99.6%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 x x) #s(literal 2/35 binary64)))))) (.f64 x x)) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))
▶	99.6%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25 binary64)))) (.f64 x x)) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))
▶	48.4%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/25 binary64) (.f64 x (.f64 x #s(literal -2/35 binary64))))))) (-.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))
✓	99.5%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))))
✓	99.6%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))
✓	99.6%	(.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64))))))
✓	100.0%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	99.3%	x

Compiler

Compiled 255 to 145 computations (43.1% saved)

simplify211.0ms (2.6%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (.f64 (.f64 x x) #s(literal 1/5 binary64))))) (*.f64 x x))
✓	cost-diff	0	(/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (.f64 (.f64 x x) #s(literal 1/5 binary64))))) (.f64 x x)) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (.f64 (.f64 x x) #s(literal 1/5 binary64))))) (.f64 x x)) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (.f64 (.f64 x x) #s(literal 1/5 binary64))))) (.f64 x x)) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))))
✓	cost-diff	0	(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 x x) #s(literal 2/35 binary64)))))) (.f64 x x))
✓	cost-diff	0	(/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 x x) #s(literal 2/35 binary64)))))) (.f64 x x)) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 x x) #s(literal 2/35 binary64)))))) (.f64 x x)) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 x x) #s(literal 2/35 binary64)))))) (.f64 x x)) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))
✓	cost-diff	0	(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25 binary64)))) (.f64 x x))
✓	cost-diff	0	(/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25 binary64)))) (.f64 x x)) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25 binary64)))) (.f64 x x)) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25 binary64)))) (.f64 x x)) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))
✓	cost-diff	256	(-.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))
✓	cost-diff	768	(/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/25 binary64) (.f64 x (.f64 x #s(literal -2/35 binary64))))))) (-.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))))
✓	cost-diff	768	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/25 binary64) (.f64 x (.f64 x #s(literal -2/35 binary64))))))) (-.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))))
✓	cost-diff	768	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/25 binary64) (.f64 x (.f64 x #s(literal -2/35 binary64))))))) (-.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))

Rules

5644×	`-lowering-.f32`
5644×	`-lowering-.f64`
2798×	`+-lowering-+.f64`
2798×	`+-lowering-+.f32`
1600×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	824
1	204	673
2	782	640
3	3516	618
0	8296	618

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x (+ 1 (/ (* (* x (* x (* x x))) (+ 1/9 (* (* x (* x (* x x))) (+ -1/25 (* x (* x -2/35)))))) (- (* x (* x 1/3)) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7))))))))
x
(+ 1 (/ (* (* x (* x (* x x))) (+ 1/9 (* (* x (* x (* x x))) (+ -1/25 (* x (* x -2/35)))))) (- (* x (* x 1/3)) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))))
1
(/ (* (* x (* x (* x x))) (+ 1/9 (* (* x (* x (* x x))) (+ -1/25 (* x (* x -2/35)))))) (- (* x (* x 1/3)) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7))))))
(* (* x (* x (* x x))) (+ 1/9 (* (* x (* x (* x x))) (+ -1/25 (* x (* x -2/35))))))
(* x (* x (* x x)))
(* x (* x x))
(* x x)
(+ 1/9 (* (* x (* x (* x x))) (+ -1/25 (* x (* x -2/35)))))
1/9
(* (* x (* x (* x x))) (+ -1/25 (* x (* x -2/35))))
(+ -1/25 (* x (* x -2/35)))
-1/25
(* x (* x -2/35))
(* x -2/35)
-2/35
(- (* x (* x 1/3)) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))
(* x (* x 1/3))
(* x 1/3)
1/3
(* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7))))
(* (* x x) (+ 1/5 (* (* x x) 1/7)))
(+ 1/5 (* (* x x) 1/7))
1/5
(* (* x x) 1/7)
1/7
(* x (+ 1 (/ (* (- 1/9 (* (* x x) (* (* x x) 1/25))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))))
x
(+ 1 (/ (* (- 1/9 (* (* x x) (* (* x x) 1/25))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))))
1
(/ (* (- 1/9 (* (* x x) (* (* x x) 1/25))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))
(* (- 1/9 (* (* x x) (* (* x x) 1/25))) (* x x))
(- 1/9 (* (* x x) (* (* x x) 1/25)))
1/9
(* (* x x) (* (* x x) 1/25))
(* x x)
(* (* x x) 1/25)
1/25
(- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))
1/3
(* (* x x) (+ 1/5 (* (* x x) 1/7)))
(+ 1/5 (* (* x x) 1/7))
1/5
(* (* x x) 1/7)
1/7
(* x (+ 1 (/ (* (- 1/9 (* (* x x) (* (* x x) (+ 1/25 (* (* x x) 2/35))))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))))
x
(+ 1 (/ (* (- 1/9 (* (* x x) (* (* x x) (+ 1/25 (* (* x x) 2/35))))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))))
1
(/ (* (- 1/9 (* (* x x) (* (* x x) (+ 1/25 (* (* x x) 2/35))))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))
(* (- 1/9 (* (* x x) (* (* x x) (+ 1/25 (* (* x x) 2/35))))) (* x x))
(- 1/9 (* (* x x) (* (* x x) (+ 1/25 (* (* x x) 2/35)))))
1/9
(* (* x x) (* (* x x) (+ 1/25 (* (* x x) 2/35))))
(* x x)
(* (* x x) (+ 1/25 (* (* x x) 2/35)))
(+ 1/25 (* (* x x) 2/35))
1/25
(* (* x x) 2/35)
2/35
(- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))
1/3
(* (* x x) (+ 1/5 (* (* x x) 1/7)))
(+ 1/5 (* (* x x) 1/7))
1/5
(* (* x x) 1/7)
1/7
(* x (+ 1 (/ (* (- 1/9 (* (* x x) (* (+ 1/5 (* (* x x) 1/7)) (* (* x x) 1/5)))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))))
x
(+ 1 (/ (* (- 1/9 (* (* x x) (* (+ 1/5 (* (* x x) 1/7)) (* (* x x) 1/5)))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))))
1
(/ (* (- 1/9 (* (* x x) (* (+ 1/5 (* (* x x) 1/7)) (* (* x x) 1/5)))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))
(* (- 1/9 (* (* x x) (* (+ 1/5 (* (* x x) 1/7)) (* (* x x) 1/5)))) (* x x))
(- 1/9 (* (* x x) (* (+ 1/5 (* (* x x) 1/7)) (* (* x x) 1/5))))
1/9
(* (* x x) (* (+ 1/5 (* (* x x) 1/7)) (* (* x x) 1/5)))
(* x x)
(* (+ 1/5 (* (* x x) 1/7)) (* (* x x) 1/5))
(+ 1/5 (* (* x x) 1/7))
1/5
(* (* x x) 1/7)
1/7
(* (* x x) 1/5)
(- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))
1/3
(* (* x x) (+ 1/5 (* (* x x) 1/7)))

Outputs
(* x (+ 1 (/ (* (* x (* x (* x x))) (+ 1/9 (* (* x (* x (* x x))) (+ -1/25 (* x (* x -2/35)))))) (- (* x (* x 1/3)) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (-.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal 2/35 binary64)))))) (/.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal -1/7 binary64)) #s(literal -1/5 binary64)))))))))
x
(+ 1 (/ (* (* x (* x (* x x))) (+ 1/9 (* (* x (* x (* x x))) (+ -1/25 (* x (* x -2/35)))))) (- (* x (* x 1/3)) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (-.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal 2/35 binary64)))))) (/.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal -1/7 binary64)) #s(literal -1/5 binary64))))))))
1
#s(literal 1 binary64)
(/ (* (* x (* x (* x x))) (+ 1/9 (* (* x (* x (* x x))) (+ -1/25 (* x (* x -2/35)))))) (- (* x (* x 1/3)) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7))))))
(.f64 x (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (-.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal 2/35 binary64)))))) (/.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal -1/7 binary64)) #s(literal -1/5 binary64)))))))
(* (* x (* x (* x x))) (+ 1/9 (* (* x (* x (* x x))) (+ -1/25 (* x (* x -2/35))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (-.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal 2/35 binary64)))))))
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
(+ 1/9 (* (* x (* x (* x x))) (+ -1/25 (* x (* x -2/35)))))
(+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (-.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal 2/35 binary64))))))
1/9
#s(literal 1/9 binary64)
(* (* x (* x (* x x))) (+ -1/25 (* x (* x -2/35))))
(.f64 (.f64 x (.f64 x x)) (.f64 x (-.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal 2/35 binary64)))))
(+ -1/25 (* x (* x -2/35)))
(-.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal 2/35 binary64)))
-1/25
#s(literal -1/25 binary64)
(* x (* x -2/35))
(.f64 x (.f64 x #s(literal -2/35 binary64)))
(* x -2/35)
(*.f64 x #s(literal -2/35 binary64))
-2/35
#s(literal -2/35 binary64)
(- (* x (* x 1/3)) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))
(.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal -1/7 binary64)) #s(literal -1/5 binary64))))))
(* x (* x 1/3))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* x 1/3)
(*.f64 x #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7))))
(.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))
(* (* x x) (+ 1/5 (* (* x x) 1/7)))
(.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))
(+ 1/5 (* (* x x) 1/7))
(+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))
1/5
#s(literal 1/5 binary64)
(* (* x x) 1/7)
(.f64 (.f64 x x) #s(literal 1/7 binary64))
1/7
#s(literal 1/7 binary64)
(* x (+ 1 (/ (* (- 1/9 (* (* x x) (* (* x x) 1/25))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/25 binary64)))))) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal -1/7 binary64)) #s(literal -1/5 binary64)))))))
x
(+ 1 (/ (* (- 1/9 (* (* x x) (* (* x x) 1/25))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/25 binary64)))))) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal -1/7 binary64)) #s(literal -1/5 binary64))))))
1
#s(literal 1 binary64)
(/ (* (- 1/9 (* (* x x) (* (* x x) 1/25))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))
(/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/25 binary64)))))) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal -1/7 binary64)) #s(literal -1/5 binary64)))))
(* (- 1/9 (* (* x x) (* (* x x) 1/25))) (* x x))
(.f64 x (.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/25 binary64))))))
(- 1/9 (* (* x x) (* (* x x) 1/25)))
(+.f64 #s(literal 1/9 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/25 binary64))))
1/9
#s(literal 1/9 binary64)
(* (* x x) (* (* x x) 1/25))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/25 binary64))))
(* x x)
(*.f64 x x)
(* (* x x) 1/25)
(.f64 (.f64 x x) #s(literal 1/25 binary64))
1/25
#s(literal 1/25 binary64)
(- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal -1/7 binary64)) #s(literal -1/5 binary64))))
1/3
#s(literal 1/3 binary64)
(* (* x x) (+ 1/5 (* (* x x) 1/7)))
(.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))
(+ 1/5 (* (* x x) 1/7))
(+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))
1/5
#s(literal 1/5 binary64)
(* (* x x) 1/7)
(.f64 (.f64 x x) #s(literal 1/7 binary64))
1/7
#s(literal 1/7 binary64)
(* x (+ 1 (/ (* (- 1/9 (* (* x x) (* (* x x) (+ 1/25 (* (* x x) 2/35))))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (-.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal 2/35 binary64)))))) (/.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal -1/7 binary64)) #s(literal -1/5 binary64)))))))))
x
(+ 1 (/ (* (- 1/9 (* (* x x) (* (* x x) (+ 1/25 (* (* x x) 2/35))))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (-.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal 2/35 binary64)))))) (/.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal -1/7 binary64)) #s(literal -1/5 binary64))))))))
1
#s(literal 1 binary64)
(/ (* (- 1/9 (* (* x x) (* (* x x) (+ 1/25 (* (* x x) 2/35))))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))
(.f64 x (.f64 (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (-.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal 2/35 binary64)))))) (/.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal -1/7 binary64)) #s(literal -1/5 binary64)))))))
(* (- 1/9 (* (* x x) (* (* x x) (+ 1/25 (* (* x x) 2/35))))) (* x x))
(.f64 (.f64 x x) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (-.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal 2/35 binary64)))))))
(- 1/9 (* (* x x) (* (* x x) (+ 1/25 (* (* x x) 2/35)))))
(+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (-.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal 2/35 binary64))))))
1/9
#s(literal 1/9 binary64)
(* (* x x) (* (* x x) (+ 1/25 (* (* x x) 2/35))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 x x) #s(literal 2/35 binary64))))
(* x x)
(*.f64 x x)
(* (* x x) (+ 1/25 (* (* x x) 2/35)))
(.f64 (.f64 x x) (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 x x) #s(literal 2/35 binary64))))
(+ 1/25 (* (* x x) 2/35))
(+.f64 #s(literal 1/25 binary64) (.f64 (.f64 x x) #s(literal 2/35 binary64)))
1/25
#s(literal 1/25 binary64)
(* (* x x) 2/35)
(.f64 (.f64 x x) #s(literal 2/35 binary64))
2/35
#s(literal 2/35 binary64)
(- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal -1/7 binary64)) #s(literal -1/5 binary64))))
1/3
#s(literal 1/3 binary64)
(* (* x x) (+ 1/5 (* (* x x) 1/7)))
(.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))
(+ 1/5 (* (* x x) 1/7))
(+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))
1/5
#s(literal 1/5 binary64)
(* (* x x) 1/7)
(.f64 (.f64 x x) #s(literal 1/7 binary64))
1/7
#s(literal 1/7 binary64)
(* x (+ 1 (/ (* (- 1/9 (* (* x x) (* (+ 1/5 (* (* x x) 1/7)) (* (* x x) 1/5)))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))) (.f64 x (.f64 (.f64 x x) #s(literal -1/5 binary64))))))) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal -1/7 binary64)) #s(literal -1/5 binary64)))))))
x
(+ 1 (/ (* (- 1/9 (* (* x x) (* (+ 1/5 (* (* x x) 1/7)) (* (* x x) 1/5)))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))) (.f64 x (.f64 (.f64 x x) #s(literal -1/5 binary64))))))) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal -1/7 binary64)) #s(literal -1/5 binary64))))))
1
#s(literal 1 binary64)
(/ (* (- 1/9 (* (* x x) (* (+ 1/5 (* (* x x) 1/7)) (* (* x x) 1/5)))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))
(/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))) (.f64 x (.f64 (.f64 x x) #s(literal -1/5 binary64))))))) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal -1/7 binary64)) #s(literal -1/5 binary64)))))
(* (- 1/9 (* (* x x) (* (+ 1/5 (* (* x x) 1/7)) (* (* x x) 1/5)))) (* x x))
(.f64 x (.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))) (.f64 x (.f64 (*.f64 x x) #s(literal -1/5 binary64)))))))
(- 1/9 (* (* x x) (* (+ 1/5 (* (* x x) 1/7)) (* (* x x) 1/5))))
(+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))) (.f64 x (.f64 (*.f64 x x) #s(literal -1/5 binary64)))))
1/9
#s(literal 1/9 binary64)
(* (* x x) (* (+ 1/5 (* (* x x) 1/7)) (* (* x x) 1/5)))
(.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/5 binary64) (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))
(* x x)
(*.f64 x x)
(* (+ 1/5 (* (* x x) 1/7)) (* (* x x) 1/5))
(.f64 x (.f64 #s(literal 1/5 binary64) (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))
(+ 1/5 (* (* x x) 1/7))
(+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))
1/5
#s(literal 1/5 binary64)
(* (* x x) 1/7)
(.f64 (.f64 x x) #s(literal 1/7 binary64))
1/7
#s(literal 1/7 binary64)
(* (* x x) 1/5)
(.f64 x (.f64 x #s(literal 1/5 binary64)))
(- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal -1/7 binary64)) #s(literal -1/5 binary64))))
1/3
#s(literal 1/3 binary64)
(* (* x x) (+ 1/5 (* (* x x) 1/7)))
(.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))

localize438.0ms (5.3%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (.f64 (.f64 x x) #s(literal 1/5 binary64))))) (*.f64 x x))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/7 binary64))
✓	accuracy	99.7%	(/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (.f64 (.f64 x x) #s(literal 1/5 binary64))))) (.f64 x x)) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))
✓	accuracy	99.6%	(.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (.f64 (*.f64 x x) #s(literal 1/5 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 2/35 binary64))
✓	accuracy	99.7%	(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 x x) #s(literal 2/35 binary64)))))) (.f64 x x))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/7 binary64))
✓	accuracy	99.7%	(/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 x x) #s(literal 2/35 binary64)))))) (.f64 x x)) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))
✓	accuracy	99.7%	(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25 binary64)))) (.f64 x x))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/7 binary64))
✓	accuracy	99.7%	(/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25 binary64)))) (.f64 x x)) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))
✓	accuracy	99.7%	(*.f64 x #s(literal -2/35 binary64))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/7 binary64))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/3 binary64))
✓	accuracy	26.8%	(/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/25 binary64) (.f64 x (.f64 x #s(literal -2/35 binary64))))))) (-.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))))

Results

313.0ms

256×

valid

Compiler

Compiled 963 to 55 computations (94.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 127.0ms

ival-mult: 77.0ms (60.5% of total)

...c/correct-round.rkt:119:19: 28.0ms (22% of total)

ival-add: 9.0ms (7.1% of total)

ival-sub: 6.0ms (4.7% of total)

ival-div: 6.0ms (4.7% of total)

const: 0.0ms (0% of total)

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

series22.0ms (0.3%)

Counts

22 → 264

Calls

Call 1

Inputs
#<alt (* x (+ 1 (/ (* (* x (* x (* x x))) (+ 1/9 (* (* x (* x (* x x))) (+ -1/25 (* x (* x -2/35)))))) (- (* x (* x 1/3)) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7))))))))>
#<alt (+ 1 (/ (* (* x (* x (* x x))) (+ 1/9 (* (* x (* x (* x x))) (+ -1/25 (* x (* x -2/35)))))) (- (* x (* x 1/3)) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))))>
#<alt (/ (* (* x (* x (* x x))) (+ 1/9 (* (* x (* x (* x x))) (+ -1/25 (* x (* x -2/35)))))) (- (* x (* x 1/3)) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7))))))>
#<alt (- (* x (* x 1/3)) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))>
#<alt (* x (+ 1 (/ (* (- 1/9 (* (* x x) (* (* x x) 1/25))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))))>
#<alt (+ 1 (/ (* (- 1/9 (* (* x x) (* (* x x) 1/25))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))))>
#<alt (/ (* (- 1/9 (* (* x x) (* (* x x) 1/25))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))>
#<alt (* (- 1/9 (* (* x x) (* (* x x) 1/25))) (* x x))>
#<alt (* x (+ 1 (/ (* (- 1/9 (* (* x x) (* (* x x) (+ 1/25 (* (* x x) 2/35))))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))))>
#<alt (+ 1 (/ (* (- 1/9 (* (* x x) (* (* x x) (+ 1/25 (* (* x x) 2/35))))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))))>
#<alt (/ (* (- 1/9 (* (* x x) (* (* x x) (+ 1/25 (* (* x x) 2/35))))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))>
#<alt (* (- 1/9 (* (* x x) (* (* x x) (+ 1/25 (* (* x x) 2/35))))) (* x x))>
#<alt (* x (+ 1 (/ (* (- 1/9 (* (* x x) (* (+ 1/5 (* (* x x) 1/7)) (* (* x x) 1/5)))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))))>
#<alt (+ 1 (/ (* (- 1/9 (* (* x x) (* (+ 1/5 (* (* x x) 1/7)) (* (* x x) 1/5)))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))))>
#<alt (/ (* (- 1/9 (* (* x x) (* (+ 1/5 (* (* x x) 1/7)) (* (* x x) 1/5)))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))>
#<alt (* (- 1/9 (* (* x x) (* (+ 1/5 (* (* x x) 1/7)) (* (* x x) 1/5)))) (* x x))>
#<alt (* x 1/3)>
#<alt (* (* x x) 1/7)>
#<alt (* x -2/35)>
#<alt (* (* x x) (+ 1/5 (* (* x x) 1/7)))>
#<alt (* (* x x) 2/35)>
#<alt (* (+ 1/5 (* (* x x) 1/7)) (* (* x x) 1/5))>

Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 2/5 (pow x 5))>
#<alt (* (pow x 5) (- 2/5 (* 7/25 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/5 (/ 872/375 (pow x 4))) (* 7/25 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/5 (/ 872/375 (pow x 4))) (+ (* 7/25 (/ 1 (pow x 2))) (* 18487/5625 (/ 1 (pow x 6))))))>
#<alt (* 2/5 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 7/25 (/ 1 (pow x 2))) 2/5)))>
#<alt (* -1 (* (pow x 5) (- (* 7/25 (/ 1 (pow x 2))) (+ 2/5 (/ 872/375 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (+ (* 7/25 (/ 1 (pow x 2))) (* 18487/5625 (/ 1 (pow x 6)))) (+ 2/5 (/ 872/375 (pow x 4))))))>
#<alt 1>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))>
#<alt (* 2/5 (pow x 4))>
#<alt (* (pow x 4) (- 2/5 (* 7/25 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/5 (/ 872/375 (pow x 4))) (* 7/25 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/5 (/ 872/375 (pow x 4))) (+ (* 7/25 (/ 1 (pow x 2))) (* 18487/5625 (/ 1 (pow x 6))))))>
#<alt (* 2/5 (pow x 4))>
#<alt (* (pow x 4) (- 2/5 (* 7/25 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/5 (/ 872/375 (pow x 4))) (* 7/25 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/5 (/ 872/375 (pow x 4))) (+ (* 7/25 (/ 1 (pow x 2))) (* 18487/5625 (/ 1 (pow x 6))))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/7 (* 3/49 (pow x 4))))))))>
#<alt (* 2/5 (pow x 4))>
#<alt (* (pow x 4) (- 2/5 (* 7/25 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/5 (/ 497/375 (pow x 4))) (* 7/25 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/5 (/ 497/375 (pow x 4))) (+ (* 7/25 (/ 1 (pow x 2))) (* 18487/5625 (/ 1 (pow x 6))))))>
#<alt (* 2/5 (pow x 4))>
#<alt (* (pow x 4) (- 2/5 (* 7/25 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/5 (/ 497/375 (pow x 4))) (* 7/25 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/5 (/ 497/375 (pow x 4))) (+ (* 7/25 (/ 1 (pow x 2))) (* 18487/5625 (/ 1 (pow x 6))))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* -1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* -1/7 (pow x 2)) 1/5))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* -1/7 (pow x 2)) 1/5))))>
#<alt (* -1/7 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/3 (pow x 4)) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/3 (pow x 4)) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* -1/7 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/3 (pow x 4)) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/3 (pow x 4)) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 7/25 (pow x 3))>
#<alt (* (pow x 3) (+ 7/25 (* 76/125 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 7/25 (+ (/ 2387/5625 (pow x 4)) (* 76/125 (/ 1 (pow x 2))))))>
#<alt (* (pow x 3) (- (+ 7/25 (+ (/ 2387/5625 (pow x 4)) (* 76/125 (/ 1 (pow x 2))))) (* 42434/28125 (/ 1 (pow x 6)))))>
#<alt (* 7/25 (pow x 3))>
#<alt (* (pow x 3) (+ 7/25 (* 76/125 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 76/125 (* 2387/5625 (/ 1 (pow x 2)))) (pow x 2))) 7/25)))>
#<alt (* -1 (* (pow x 3) (- (* 42434/28125 (/ 1 (pow x 6))) (+ 7/25 (+ (/ 2387/5625 (pow x 4)) (* 76/125 (/ 1 (pow x 2))))))))>
#<alt 1>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))>
#<alt (* 7/25 (pow x 2))>
#<alt (* (pow x 2) (+ 7/25 (* 76/125 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 7/25 (+ (/ 2387/5625 (pow x 4)) (* 76/125 (/ 1 (pow x 2))))))>
#<alt (* (pow x 2) (- (+ 7/25 (+ (/ 2387/5625 (pow x 4)) (* 76/125 (/ 1 (pow x 2))))) (* 42434/28125 (/ 1 (pow x 6)))))>
#<alt (* 7/25 (pow x 2))>
#<alt (* (pow x 2) (+ 7/25 (* 76/125 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 7/25 (+ (/ 2387/5625 (pow x 4)) (* 76/125 (/ 1 (pow x 2))))))>
#<alt (* (pow x 2) (- (+ 7/25 (+ (/ 2387/5625 (pow x 4)) (* 76/125 (/ 1 (pow x 2))))) (* 42434/28125 (/ 1 (pow x 6)))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/7 (* 6/35 (pow x 2))))))))>
#<alt (* 7/25 (pow x 2))>
#<alt (* (pow x 2) (- 7/25 (* 49/125 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (+ 7/25 (/ 2387/5625 (pow x 4))) (* 49/125 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (+ 7/25 (/ 2387/5625 (pow x 4))) (+ (* 49/125 (/ 1 (pow x 2))) (* 42434/28125 (/ 1 (pow x 6))))))>
#<alt (* 7/25 (pow x 2))>
#<alt (* (pow x 2) (- 7/25 (* 49/125 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (+ 7/25 (/ 2387/5625 (pow x 4))) (* 49/125 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (+ 7/25 (/ 2387/5625 (pow x 4))) (+ (* 49/125 (/ 1 (pow x 2))) (* 42434/28125 (/ 1 (pow x 6))))))>
#<alt (* 1/9 (pow x 2))>
#<alt (* (pow x 2) (+ 1/9 (* -1/25 (pow x 4))))>
#<alt (* (pow x 2) (+ 1/9 (* -1/25 (pow x 4))))>
#<alt (* (pow x 2) (+ 1/9 (* -1/25 (pow x 4))))>
#<alt (* -1/25 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/25))>
#<alt (* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/25))>
#<alt (* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/25))>
#<alt (* -1/25 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/25))>
#<alt (* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/25))>
#<alt (* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/25))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 2/5 (pow x 5))>
#<alt (* (pow x 5) (- 2/5 (* 7/25 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/5 (/ 872/375 (pow x 4))) (* 7/25 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/5 (/ 872/375 (pow x 4))) (+ (* 7/25 (/ 1 (pow x 2))) (* 18487/5625 (/ 1 (pow x 6))))))>
#<alt (* 2/5 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 7/25 (/ 1 (pow x 2))) 2/5)))>
#<alt (* -1 (* (pow x 5) (- (* 7/25 (/ 1 (pow x 2))) (+ 2/5 (/ 872/375 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (+ (* 7/25 (/ 1 (pow x 2))) (* 18487/5625 (/ 1 (pow x 6)))) (+ 2/5 (/ 872/375 (pow x 4))))))>
#<alt 1>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))>
#<alt (* 2/5 (pow x 4))>
#<alt (* (pow x 4) (- 2/5 (* 7/25 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/5 (/ 872/375 (pow x 4))) (* 7/25 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/5 (/ 872/375 (pow x 4))) (+ (* 7/25 (/ 1 (pow x 2))) (* 18487/5625 (/ 1 (pow x 6))))))>
#<alt (* 2/5 (pow x 4))>
#<alt (* (pow x 4) (- 2/5 (* 7/25 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/5 (/ 872/375 (pow x 4))) (* 7/25 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/5 (/ 872/375 (pow x 4))) (+ (* 7/25 (/ 1 (pow x 2))) (* 18487/5625 (/ 1 (pow x 6))))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/7 (* 3/49 (pow x 4))))))))>
#<alt (* 2/5 (pow x 4))>
#<alt (* (pow x 4) (- 2/5 (* 7/25 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/5 (/ 497/375 (pow x 4))) (* 7/25 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/5 (/ 497/375 (pow x 4))) (+ (* 7/25 (/ 1 (pow x 2))) (* 18487/5625 (/ 1 (pow x 6))))))>
#<alt (* 2/5 (pow x 4))>
#<alt (* (pow x 4) (- 2/5 (* 7/25 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/5 (/ 497/375 (pow x 4))) (* 7/25 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/5 (/ 497/375 (pow x 4))) (+ (* 7/25 (/ 1 (pow x 2))) (* 18487/5625 (/ 1 (pow x 6))))))>
#<alt (* 1/9 (pow x 2))>
#<alt (* (pow x 2) (+ 1/9 (* -1/25 (pow x 4))))>
#<alt (* (pow x 2) (+ 1/9 (* (pow x 4) (- (* -2/35 (pow x 2)) 1/25))))>
#<alt (* (pow x 2) (+ 1/9 (* (pow x 4) (- (* -2/35 (pow x 2)) 1/25))))>
#<alt (* -2/35 (pow x 8))>
#<alt (* -1 (* (pow x 8) (+ 2/35 (* 1/25 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (/ 1/9 (pow x 6)) (+ 2/35 (* 1/25 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (/ 1/9 (pow x 6)) (+ 2/35 (* 1/25 (/ 1 (pow x 2))))))>
#<alt (* -2/35 (pow x 8))>
#<alt (* -1 (* (pow x 8) (+ 2/35 (* 1/25 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (/ 1/9 (pow x 6)) (+ 2/35 (* 1/25 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (/ 1/9 (pow x 6)) (+ 2/35 (* 1/25 (/ 1 (pow x 2))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/5 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5 (* 22/15 (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (- (+ 1/5 (* 22/15 (/ 1 (pow x 4)))) (/ 322/225 (pow x 6))))>
#<alt (* (pow x 5) (- (+ 1/5 (+ (* 22/15 (/ 1 (pow x 4))) (* 3479/1125 (/ 1 (pow x 8))))) (/ 322/225 (pow x 6))))>
#<alt (* 1/5 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5 (* 22/15 (/ 1 (pow x 4)))))>
#<alt (* -1 (* (pow x 5) (- (/ 322/225 (pow x 6)) (+ 1/5 (* 22/15 (/ 1 (pow x 4)))))))>
#<alt (* -1 (* (pow x 5) (- (/ 322/225 (pow x 6)) (+ 1/5 (+ (* 22/15 (/ 1 (pow x 4))) (* 3479/1125 (/ 1 (pow x 8))))))))>
#<alt 1>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 22/15 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- (+ 1/5 (* 22/15 (/ 1 (pow x 4)))) (/ 322/225 (pow x 6))))>
#<alt (* (pow x 4) (- (+ 1/5 (+ (* 22/15 (/ 1 (pow x 4))) (* 3479/1125 (/ 1 (pow x 8))))) (/ 322/225 (pow x 6))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 22/15 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- (+ 1/5 (* 22/15 (/ 1 (pow x 4)))) (/ 322/225 (pow x 6))))>
#<alt (* (pow x 4) (- (+ 1/5 (+ (* 22/15 (/ 1 (pow x 4))) (* 3479/1125 (/ 1 (pow x 8))))) (/ 322/225 (pow x 6))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/7 (* 3/35 (pow x 2))))))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 7/15 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- (+ 1/5 (* 7/15 (/ 1 (pow x 4)))) (/ 322/225 (pow x 6))))>
#<alt (* (pow x 4) (- (+ 1/5 (+ (* 7/15 (/ 1 (pow x 4))) (* 3479/1125 (/ 1 (pow x 8))))) (/ 322/225 (pow x 6))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 7/15 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- (+ 1/5 (* 7/15 (/ 1 (pow x 4)))) (/ 322/225 (pow x 6))))>
#<alt (* (pow x 4) (- (+ 1/5 (+ (* 7/15 (/ 1 (pow x 4))) (* 3479/1125 (/ 1 (pow x 8))))) (/ 322/225 (pow x 6))))>
#<alt (* 1/9 (pow x 2))>
#<alt (* (pow x 2) (+ 1/9 (* -1/25 (pow x 4))))>
#<alt (* (pow x 2) (+ 1/9 (* (pow x 4) (- (* -1/35 (pow x 2)) 1/25))))>
#<alt (* (pow x 2) (+ 1/9 (* (pow x 4) (- (* -1/35 (pow x 2)) 1/25))))>
#<alt (* -1/35 (pow x 8))>
#<alt (* -1 (* (pow x 8) (+ 1/35 (* 1/25 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (/ 1/9 (pow x 6)) (+ 1/35 (* 1/25 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (/ 1/9 (pow x 6)) (+ 1/35 (* 1/25 (/ 1 (pow x 2))))))>
#<alt (* -1/35 (pow x 8))>
#<alt (* -1 (* (pow x 8) (+ 1/35 (* 1/25 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (/ 1/9 (pow x 6)) (+ 1/35 (* 1/25 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (/ 1/9 (pow x 6)) (+ 1/35 (* 1/25 (/ 1 (pow x 2))))))>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* -2/35 x)>
#<alt (* -2/35 x)>
#<alt (* -2/35 x)>
#<alt (* -2/35 x)>
#<alt (* -2/35 x)>
#<alt (* -2/35 x)>
#<alt (* -2/35 x)>
#<alt (* -2/35 x)>
#<alt (* -2/35 x)>
#<alt (* -2/35 x)>
#<alt (* -2/35 x)>
#<alt (* -2/35 x)>
#<alt (* 1/5 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 2/35 (pow x 2))>
#<alt (* 2/35 (pow x 2))>
#<alt (* 2/35 (pow x 2))>
#<alt (* 2/35 (pow x 2))>
#<alt (* 2/35 (pow x 2))>
#<alt (* 2/35 (pow x 2))>
#<alt (* 2/35 (pow x 2))>
#<alt (* 2/35 (pow x 2))>
#<alt (* 2/35 (pow x 2))>
#<alt (* 2/35 (pow x 2))>
#<alt (* 2/35 (pow x 2))>
#<alt (* 2/35 (pow x 2))>
#<alt (* 1/25 (pow x 2))>
#<alt (* (pow x 2) (+ 1/25 (* 1/35 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/25 (* 1/35 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/25 (* 1/35 (pow x 2))))>
#<alt (* 1/35 (pow x 4))>
#<alt (* (pow x 4) (+ 1/35 (* 1/25 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/35 (* 1/25 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/35 (* 1/25 (/ 1 (pow x 2)))))>
#<alt (* 1/35 (pow x 4))>
#<alt (* (pow x 4) (+ 1/35 (* 1/25 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/35 (* 1/25 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/35 (* 1/25 (/ 1 (pow x 2)))))>

Calls

66 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(* x (+ 1 (/ (* (- 1/9 (* (* x x) (* (* x x) (+ 1/25 (* (* x x) 2/35))))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))))
4.0ms	x	@	0	(/ (* (- 1/9 (* (* x x) (* (+ 1/5 (* (* x x) 1/7)) (* (* x x) 1/5)))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))
1.0ms	x	@	inf	(* x (+ 1 (/ (* (* x (* x (* x x))) (+ 1/9 (* (* x (* x (* x x))) (+ -1/25 (* x (* x -2/35)))))) (- (* x (* x 1/3)) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7))))))))
1.0ms	x	@	inf	(* (- 1/9 (* (* x x) (* (* x x) 1/25))) (* x x))
1.0ms	x	@	inf	(* x (+ 1 (/ (* (- 1/9 (* (* x x) (* (+ 1/5 (* (* x x) 1/7)) (* (* x x) 1/5)))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))))

rewrite364.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

4652×	`-lowering-.f32`
4652×	`-lowering-.f64`
1890×	`unpow-prod-down`
1838×	`pow-lowering-pow.f64`
1838×	`pow-lowering-pow.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	54	489
1	387	404
2	3814	379
0	8151	379

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 361

Calls

Call 1

Inputs
(* x (+ 1 (/ (* (* x (* x (* x x))) (+ 1/9 (* (* x (* x (* x x))) (+ -1/25 (* x (* x -2/35)))))) (- (* x (* x 1/3)) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7))))))))
(+ 1 (/ (* (* x (* x (* x x))) (+ 1/9 (* (* x (* x (* x x))) (+ -1/25 (* x (* x -2/35)))))) (- (* x (* x 1/3)) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))))
(/ (* (* x (* x (* x x))) (+ 1/9 (* (* x (* x (* x x))) (+ -1/25 (* x (* x -2/35)))))) (- (* x (* x 1/3)) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7))))))
(- (* x (* x 1/3)) (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))))
(* x (+ 1 (/ (* (- 1/9 (* (* x x) (* (* x x) 1/25))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))))
(+ 1 (/ (* (- 1/9 (* (* x x) (* (* x x) 1/25))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))))
(/ (* (- 1/9 (* (* x x) (* (* x x) 1/25))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))
(* (- 1/9 (* (* x x) (* (* x x) 1/25))) (* x x))
(* x (+ 1 (/ (* (- 1/9 (* (* x x) (* (* x x) (+ 1/25 (* (* x x) 2/35))))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))))
(+ 1 (/ (* (- 1/9 (* (* x x) (* (* x x) (+ 1/25 (* (* x x) 2/35))))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))))
(/ (* (- 1/9 (* (* x x) (* (* x x) (+ 1/25 (* (* x x) 2/35))))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))
(* (- 1/9 (* (* x x) (* (* x x) (+ 1/25 (* (* x x) 2/35))))) (* x x))
(* x (+ 1 (/ (* (- 1/9 (* (* x x) (* (+ 1/5 (* (* x x) 1/7)) (* (* x x) 1/5)))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))))
(+ 1 (/ (* (- 1/9 (* (* x x) (* (+ 1/5 (* (* x x) 1/7)) (* (* x x) 1/5)))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))))
(/ (* (- 1/9 (* (* x x) (* (+ 1/5 (* (* x x) 1/7)) (* (* x x) 1/5)))) (* x x)) (- 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))
(* (- 1/9 (* (* x x) (* (+ 1/5 (* (* x x) 1/7)) (* (* x x) 1/5)))) (* x x))
(* x 1/3)
(* (* x x) 1/7)
(* x -2/35)
(* (* x x) (+ 1/5 (* (* x x) 1/7)))
(* (* x x) 2/35)
(* (+ 1/5 (* (* x x) 1/7)) (* (* x x) 1/5))

Outputs
(+.f64 x (/.f64 x (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -2/35 binary64)))))))))))
(+.f64 (/.f64 x (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -2/35 binary64)))))))))) x)
(fma.f64 x #s(literal 1 binary64) (/.f64 x (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -2/35 binary64)))))))))))
(fma.f64 #s(literal 1 binary64) x (/.f64 x (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -2/35 binary64)))))))))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (/.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -2/35 binary64)))))))) (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))) (.f64 (/.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -2/35 binary64)))))))) (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))) (/.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -2/35 binary64)))))))) (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))))))) (+.f64 (.f64 x x) (-.f64 (.f64 (/.f64 x (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -2/35 binary64)))))))))) (/.f64 x (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -2/35 binary64))))))))))) (.f64 x (/.f64 x (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -2/35 binary64))))))))))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (/.f64 x (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -2/35 binary64)))))))))) (/.f64 x (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -2/35 binary64)))))))))))) (-.f64 x (/.f64 x (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))) (.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -2/35 binary64))))))))))))
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(/.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (.f64 x (.f64 x #s(literal 1/5 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/7 binary64)))))) (-.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/7 binary64))))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64))))) (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/7 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/7 binary64))) #s(literal 1/5 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/49 binary64)))) (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal -1/7 binary64) (.f64 x x))))
(/.f64 (.f64 (+.f64 #s(literal 1/125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64)))) (.f64 x x)) (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/7 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/7 binary64))) #s(literal 1/5 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/49 binary64))) (.f64 x x)) (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal -1/7 binary64) (.f64 x x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))
(.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))) x)
(.f64 x (.f64 x #s(literal 2/35 binary64)))
(.f64 (.f64 x x) #s(literal 2/35 binary64))
(.f64 #s(literal 2/35 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 2/35 binary64)) x)
(+.f64 (.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) #s(literal 1/5 binary64)) (.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (.f64 x (.f64 x #s(literal 1/7 binary64)))))
(+.f64 (.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) #s(literal 1/5 binary64)))
(+.f64 (.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64)))) (.f64 (.f64 x (.f64 x #s(literal 1/7 binary64))) (.f64 x (.f64 x #s(literal 1/5 binary64)))))
(+.f64 (.f64 (.f64 x (.f64 x #s(literal 1/7 binary64))) (.f64 x (.f64 x #s(literal 1/5 binary64)))) (.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64)))))
(/.f64 (.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (+.f64 #s(literal 1/125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64))))) (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/7 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/7 binary64))) #s(literal 1/5 binary64)))))
(/.f64 (.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/49 binary64)))) (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal -1/7 binary64) (*.f64 x x))))
(/.f64 (.f64 (+.f64 #s(literal 1/125 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64)))) (.f64 x (.f64 x #s(literal 1/5 binary64)))) (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/7 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 1/7 binary64))) #s(literal 1/5 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/49 binary64))) (.f64 x (.f64 x #s(literal 1/5 binary64)))) (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal -1/7 binary64) (*.f64 x x))))
(.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))) #s(literal 1/5 binary64)))
(.f64 x (.f64 (.f64 x #s(literal 1/5 binary64)) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))))
(.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))) #s(literal 1/5 binary64)))
(.f64 (.f64 x x) (.f64 #s(literal 1/5 binary64) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))))
(.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))))
(.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (.f64 x (*.f64 x #s(literal 1/5 binary64))))
(.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))) #s(literal 1/5 binary64))
(.f64 (.f64 x (.f64 x #s(literal 1/5 binary64))) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))
(.f64 (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))) (*.f64 x #s(literal 1/5 binary64)))
(.f64 (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) #s(literal 1/5 binary64)) (*.f64 x x))

simplify319.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

5472×	`-lowering-.f32`
5472×	`-lowering-.f64`
3372×	`+-lowering-+.f64`
3372×	`+-lowering-+.f32`
1482×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	238	2898
1	743	2511
2	2477	2407
3	7260	2407
0	8121	2407

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 2/5 (pow x 5))
(* (pow x 5) (- 2/5 (* 7/25 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/5 (/ 872/375 (pow x 4))) (* 7/25 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/5 (/ 872/375 (pow x 4))) (+ (* 7/25 (/ 1 (pow x 2))) (* 18487/5625 (/ 1 (pow x 6))))))
(* 2/5 (pow x 5))
(* -1 (* (pow x 5) (- (* 7/25 (/ 1 (pow x 2))) 2/5)))
(* -1 (* (pow x 5) (- (* 7/25 (/ 1 (pow x 2))) (+ 2/5 (/ 872/375 (pow x 4))))))
(* -1 (* (pow x 5) (- (+ (* 7/25 (/ 1 (pow x 2))) (* 18487/5625 (/ 1 (pow x 6)))) (+ 2/5 (/ 872/375 (pow x 4))))))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
(* 2/5 (pow x 4))
(* (pow x 4) (- 2/5 (* 7/25 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/5 (/ 872/375 (pow x 4))) (* 7/25 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/5 (/ 872/375 (pow x 4))) (+ (* 7/25 (/ 1 (pow x 2))) (* 18487/5625 (/ 1 (pow x 6))))))
(* 2/5 (pow x 4))
(* (pow x 4) (- 2/5 (* 7/25 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/5 (/ 872/375 (pow x 4))) (* 7/25 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/5 (/ 872/375 (pow x 4))) (+ (* 7/25 (/ 1 (pow x 2))) (* 18487/5625 (/ 1 (pow x 6))))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/7 (* 3/49 (pow x 4))))))))
(* 2/5 (pow x 4))
(* (pow x 4) (- 2/5 (* 7/25 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/5 (/ 497/375 (pow x 4))) (* 7/25 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/5 (/ 497/375 (pow x 4))) (+ (* 7/25 (/ 1 (pow x 2))) (* 18487/5625 (/ 1 (pow x 6))))))
(* 2/5 (pow x 4))
(* (pow x 4) (- 2/5 (* 7/25 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/5 (/ 497/375 (pow x 4))) (* 7/25 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/5 (/ 497/375 (pow x 4))) (+ (* 7/25 (/ 1 (pow x 2))) (* 18487/5625 (/ 1 (pow x 6))))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* -1/5 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (- (* -1/7 (pow x 2)) 1/5))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (- (* -1/7 (pow x 2)) 1/5))))
(* -1/7 (pow x 6))
(* -1 (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/3 (pow x 4)) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/3 (pow x 4)) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))
(* -1/7 (pow x 6))
(* -1 (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/3 (pow x 4)) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/3 (pow x 4)) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 7/25 (pow x 3))
(* (pow x 3) (+ 7/25 (* 76/125 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 7/25 (+ (/ 2387/5625 (pow x 4)) (* 76/125 (/ 1 (pow x 2))))))
(* (pow x 3) (- (+ 7/25 (+ (/ 2387/5625 (pow x 4)) (* 76/125 (/ 1 (pow x 2))))) (* 42434/28125 (/ 1 (pow x 6)))))
(* 7/25 (pow x 3))
(* (pow x 3) (+ 7/25 (* 76/125 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 76/125 (* 2387/5625 (/ 1 (pow x 2)))) (pow x 2))) 7/25)))
(* -1 (* (pow x 3) (- (* 42434/28125 (/ 1 (pow x 6))) (+ 7/25 (+ (/ 2387/5625 (pow x 4)) (* 76/125 (/ 1 (pow x 2))))))))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
(* 7/25 (pow x 2))
(* (pow x 2) (+ 7/25 (* 76/125 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 7/25 (+ (/ 2387/5625 (pow x 4)) (* 76/125 (/ 1 (pow x 2))))))
(* (pow x 2) (- (+ 7/25 (+ (/ 2387/5625 (pow x 4)) (* 76/125 (/ 1 (pow x 2))))) (* 42434/28125 (/ 1 (pow x 6)))))
(* 7/25 (pow x 2))
(* (pow x 2) (+ 7/25 (* 76/125 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 7/25 (+ (/ 2387/5625 (pow x 4)) (* 76/125 (/ 1 (pow x 2))))))
(* (pow x 2) (- (+ 7/25 (+ (/ 2387/5625 (pow x 4)) (* 76/125 (/ 1 (pow x 2))))) (* 42434/28125 (/ 1 (pow x 6)))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/7 (* 6/35 (pow x 2))))))))
(* 7/25 (pow x 2))
(* (pow x 2) (- 7/25 (* 49/125 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 7/25 (/ 2387/5625 (pow x 4))) (* 49/125 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 7/25 (/ 2387/5625 (pow x 4))) (+ (* 49/125 (/ 1 (pow x 2))) (* 42434/28125 (/ 1 (pow x 6))))))
(* 7/25 (pow x 2))
(* (pow x 2) (- 7/25 (* 49/125 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 7/25 (/ 2387/5625 (pow x 4))) (* 49/125 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 7/25 (/ 2387/5625 (pow x 4))) (+ (* 49/125 (/ 1 (pow x 2))) (* 42434/28125 (/ 1 (pow x 6))))))
(* 1/9 (pow x 2))
(* (pow x 2) (+ 1/9 (* -1/25 (pow x 4))))
(* (pow x 2) (+ 1/9 (* -1/25 (pow x 4))))
(* (pow x 2) (+ 1/9 (* -1/25 (pow x 4))))
(* -1/25 (pow x 6))
(* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/25))
(* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/25))
(* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/25))
(* -1/25 (pow x 6))
(* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/25))
(* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/25))
(* (pow x 6) (- (* 1/9 (/ 1 (pow x 4))) 1/25))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 2/5 (pow x 5))
(* (pow x 5) (- 2/5 (* 7/25 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/5 (/ 872/375 (pow x 4))) (* 7/25 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/5 (/ 872/375 (pow x 4))) (+ (* 7/25 (/ 1 (pow x 2))) (* 18487/5625 (/ 1 (pow x 6))))))
(* 2/5 (pow x 5))
(* -1 (* (pow x 5) (- (* 7/25 (/ 1 (pow x 2))) 2/5)))
(* -1 (* (pow x 5) (- (* 7/25 (/ 1 (pow x 2))) (+ 2/5 (/ 872/375 (pow x 4))))))
(* -1 (* (pow x 5) (- (+ (* 7/25 (/ 1 (pow x 2))) (* 18487/5625 (/ 1 (pow x 6)))) (+ 2/5 (/ 872/375 (pow x 4))))))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
(* 2/5 (pow x 4))
(* (pow x 4) (- 2/5 (* 7/25 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/5 (/ 872/375 (pow x 4))) (* 7/25 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/5 (/ 872/375 (pow x 4))) (+ (* 7/25 (/ 1 (pow x 2))) (* 18487/5625 (/ 1 (pow x 6))))))
(* 2/5 (pow x 4))
(* (pow x 4) (- 2/5 (* 7/25 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/5 (/ 872/375 (pow x 4))) (* 7/25 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/5 (/ 872/375 (pow x 4))) (+ (* 7/25 (/ 1 (pow x 2))) (* 18487/5625 (/ 1 (pow x 6))))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/7 (* 3/49 (pow x 4))))))))
(* 2/5 (pow x 4))
(* (pow x 4) (- 2/5 (* 7/25 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/5 (/ 497/375 (pow x 4))) (* 7/25 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/5 (/ 497/375 (pow x 4))) (+ (* 7/25 (/ 1 (pow x 2))) (* 18487/5625 (/ 1 (pow x 6))))))
(* 2/5 (pow x 4))
(* (pow x 4) (- 2/5 (* 7/25 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/5 (/ 497/375 (pow x 4))) (* 7/25 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/5 (/ 497/375 (pow x 4))) (+ (* 7/25 (/ 1 (pow x 2))) (* 18487/5625 (/ 1 (pow x 6))))))
(* 1/9 (pow x 2))
(* (pow x 2) (+ 1/9 (* -1/25 (pow x 4))))
(* (pow x 2) (+ 1/9 (* (pow x 4) (- (* -2/35 (pow x 2)) 1/25))))
(* (pow x 2) (+ 1/9 (* (pow x 4) (- (* -2/35 (pow x 2)) 1/25))))
(* -2/35 (pow x 8))
(* -1 (* (pow x 8) (+ 2/35 (* 1/25 (/ 1 (pow x 2))))))
(* (pow x 8) (- (/ 1/9 (pow x 6)) (+ 2/35 (* 1/25 (/ 1 (pow x 2))))))
(* (pow x 8) (- (/ 1/9 (pow x 6)) (+ 2/35 (* 1/25 (/ 1 (pow x 2))))))
(* -2/35 (pow x 8))
(* -1 (* (pow x 8) (+ 2/35 (* 1/25 (/ 1 (pow x 2))))))
(* (pow x 8) (- (/ 1/9 (pow x 6)) (+ 2/35 (* 1/25 (/ 1 (pow x 2))))))
(* (pow x 8) (- (/ 1/9 (pow x 6)) (+ 2/35 (* 1/25 (/ 1 (pow x 2))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 22/15 (/ 1 (pow x 4)))))
(* (pow x 5) (- (+ 1/5 (* 22/15 (/ 1 (pow x 4)))) (/ 322/225 (pow x 6))))
(* (pow x 5) (- (+ 1/5 (+ (* 22/15 (/ 1 (pow x 4))) (* 3479/1125 (/ 1 (pow x 8))))) (/ 322/225 (pow x 6))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 22/15 (/ 1 (pow x 4)))))
(* -1 (* (pow x 5) (- (/ 322/225 (pow x 6)) (+ 1/5 (* 22/15 (/ 1 (pow x 4)))))))
(* -1 (* (pow x 5) (- (/ 322/225 (pow x 6)) (+ 1/5 (+ (* 22/15 (/ 1 (pow x 4))) (* 3479/1125 (/ 1 (pow x 8))))))))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 22/15 (/ 1 (pow x 4)))))
(* (pow x 4) (- (+ 1/5 (* 22/15 (/ 1 (pow x 4)))) (/ 322/225 (pow x 6))))
(* (pow x 4) (- (+ 1/5 (+ (* 22/15 (/ 1 (pow x 4))) (* 3479/1125 (/ 1 (pow x 8))))) (/ 322/225 (pow x 6))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 22/15 (/ 1 (pow x 4)))))
(* (pow x 4) (- (+ 1/5 (* 22/15 (/ 1 (pow x 4)))) (/ 322/225 (pow x 6))))
(* (pow x 4) (- (+ 1/5 (+ (* 22/15 (/ 1 (pow x 4))) (* 3479/1125 (/ 1 (pow x 8))))) (/ 322/225 (pow x 6))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/7 (* 3/35 (pow x 2))))))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 7/15 (/ 1 (pow x 4)))))
(* (pow x 4) (- (+ 1/5 (* 7/15 (/ 1 (pow x 4)))) (/ 322/225 (pow x 6))))
(* (pow x 4) (- (+ 1/5 (+ (* 7/15 (/ 1 (pow x 4))) (* 3479/1125 (/ 1 (pow x 8))))) (/ 322/225 (pow x 6))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 7/15 (/ 1 (pow x 4)))))
(* (pow x 4) (- (+ 1/5 (* 7/15 (/ 1 (pow x 4)))) (/ 322/225 (pow x 6))))
(* (pow x 4) (- (+ 1/5 (+ (* 7/15 (/ 1 (pow x 4))) (* 3479/1125 (/ 1 (pow x 8))))) (/ 322/225 (pow x 6))))
(* 1/9 (pow x 2))
(* (pow x 2) (+ 1/9 (* -1/25 (pow x 4))))
(* (pow x 2) (+ 1/9 (* (pow x 4) (- (* -1/35 (pow x 2)) 1/25))))
(* (pow x 2) (+ 1/9 (* (pow x 4) (- (* -1/35 (pow x 2)) 1/25))))
(* -1/35 (pow x 8))
(* -1 (* (pow x 8) (+ 1/35 (* 1/25 (/ 1 (pow x 2))))))
(* (pow x 8) (- (/ 1/9 (pow x 6)) (+ 1/35 (* 1/25 (/ 1 (pow x 2))))))
(* (pow x 8) (- (/ 1/9 (pow x 6)) (+ 1/35 (* 1/25 (/ 1 (pow x 2))))))
(* -1/35 (pow x 8))
(* -1 (* (pow x 8) (+ 1/35 (* 1/25 (/ 1 (pow x 2))))))
(* (pow x 8) (- (/ 1/9 (pow x 6)) (+ 1/35 (* 1/25 (/ 1 (pow x 2))))))
(* (pow x 8) (- (/ 1/9 (pow x 6)) (+ 1/35 (* 1/25 (/ 1 (pow x 2))))))
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* -2/35 x)
(* -2/35 x)
(* -2/35 x)
(* -2/35 x)
(* -2/35 x)
(* -2/35 x)
(* -2/35 x)
(* -2/35 x)
(* -2/35 x)
(* -2/35 x)
(* -2/35 x)
(* -2/35 x)
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 2/35 (pow x 2))
(* 2/35 (pow x 2))
(* 2/35 (pow x 2))
(* 2/35 (pow x 2))
(* 2/35 (pow x 2))
(* 2/35 (pow x 2))
(* 2/35 (pow x 2))
(* 2/35 (pow x 2))
(* 2/35 (pow x 2))
(* 2/35 (pow x 2))
(* 2/35 (pow x 2))
(* 2/35 (pow x 2))
(* 1/25 (pow x 2))
(* (pow x 2) (+ 1/25 (* 1/35 (pow x 2))))
(* (pow x 2) (+ 1/25 (* 1/35 (pow x 2))))
(* (pow x 2) (+ 1/25 (* 1/35 (pow x 2))))
(* 1/35 (pow x 4))
(* (pow x 4) (+ 1/35 (* 1/25 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/35 (* 1/25 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/35 (* 1/25 (/ 1 (pow x 2)))))
(* 1/35 (pow x 4))
(* (pow x 4) (+ 1/35 (* 1/25 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/35 (* 1/25 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/35 (* 1/25 (/ 1 (pow x 2)))))

Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))
(* 2/5 (pow x 5))
(*.f64 #s(literal 2/5 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- 2/5 (* 7/25 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 7/25 binary64) (.f64 x x))))
(* (pow x 5) (- (+ 2/5 (/ 872/375 (pow x 4))) (* 7/25 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (-.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 7/25 binary64) (.f64 x x))) (/.f64 #s(literal 872/375 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 5) (- (+ 2/5 (/ 872/375 (pow x 4))) (+ (* 7/25 (/ 1 (pow x 2))) (* 18487/5625 (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 872/375 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 7/25 binary64) (*.f64 x x)) (/.f64 #s(literal 18487/5625 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 2/5 (pow x 5))
(*.f64 #s(literal 2/5 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 7/25 (/ 1 (pow x 2))) 2/5)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 7/25 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* 7/25 (/ 1 (pow x 2))) (+ 2/5 (/ 872/375 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (-.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 7/25 binary64) (.f64 x x))) (/.f64 #s(literal 872/375 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* -1 (* (pow x 5) (- (+ (* 7/25 (/ 1 (pow x 2))) (* 18487/5625 (/ 1 (pow x 6)))) (+ 2/5 (/ 872/375 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 872/375 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 7/25 binary64) (*.f64 x x)) (/.f64 #s(literal 18487/5625 binary64) (pow.f64 x #s(literal 6 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x)))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64)))))))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))
(* 2/5 (pow x 4))
(.f64 #s(literal 2/5 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- 2/5 (* 7/25 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 7/25 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- (+ 2/5 (/ 872/375 (pow x 4))) (* 7/25 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (-.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 7/25 binary64) (.f64 x x))) (/.f64 #s(literal 872/375 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 4) (- (+ 2/5 (/ 872/375 (pow x 4))) (+ (* 7/25 (/ 1 (pow x 2))) (* 18487/5625 (/ 1 (pow x 6))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (+.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 872/375 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 7/25 binary64) (.f64 x x)) (/.f64 #s(literal 18487/5625 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 2/5 (pow x 4))
(.f64 #s(literal 2/5 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- 2/5 (* 7/25 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 7/25 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- (+ 2/5 (/ 872/375 (pow x 4))) (* 7/25 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (-.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 7/25 binary64) (.f64 x x))) (/.f64 #s(literal 872/375 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 4) (- (+ 2/5 (/ 872/375 (pow x 4))) (+ (* 7/25 (/ 1 (pow x 2))) (* 18487/5625 (/ 1 (pow x 6))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (+.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 872/375 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 7/25 binary64) (.f64 x x)) (/.f64 #s(literal 18487/5625 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/7 (* 3/49 (pow x 4))))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/7 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 3/49 binary64))))))))
(* 2/5 (pow x 4))
(.f64 #s(literal 2/5 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- 2/5 (* 7/25 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 7/25 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- (+ 2/5 (/ 497/375 (pow x 4))) (* 7/25 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (-.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 7/25 binary64) (.f64 x x))) (/.f64 #s(literal 497/375 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 4) (- (+ 2/5 (/ 497/375 (pow x 4))) (+ (* 7/25 (/ 1 (pow x 2))) (* 18487/5625 (/ 1 (pow x 6))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 497/375 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (-.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 7/25 binary64) (.f64 x x))) (/.f64 #s(literal -18487/5625 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 2/5 (pow x 4))
(.f64 #s(literal 2/5 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- 2/5 (* 7/25 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 7/25 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- (+ 2/5 (/ 497/375 (pow x 4))) (* 7/25 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (-.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 7/25 binary64) (.f64 x x))) (/.f64 #s(literal 497/375 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 4) (- (+ 2/5 (/ 497/375 (pow x 4))) (+ (* 7/25 (/ 1 (pow x 2))) (* 18487/5625 (/ 1 (pow x 6))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 497/375 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (-.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 7/25 binary64) (.f64 x x))) (/.f64 #s(literal -18487/5625 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* (pow x 2) (+ 1/3 (* -1/5 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal -1/5 binary64)))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (- (* -1/7 (pow x 2)) 1/5))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5 binary64) (.f64 (.f64 x x) #s(literal -1/7 binary64))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (- (* -1/7 (pow x 2)) 1/5))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/5 binary64) (.f64 (.f64 x x) #s(literal -1/7 binary64))))))
(* -1/7 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/7 binary64))
(* -1 (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -1/7 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))))
(* (pow x 6) (- (/ 1/3 (pow x 4)) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal -1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x)))))
(* (pow x 6) (- (/ 1/3 (pow x 4)) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal -1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x)))))
(* -1/7 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/7 binary64))
(* -1 (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal -1/7 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))))
(* (pow x 6) (- (/ 1/3 (pow x 4)) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal -1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x)))))
(* (pow x 6) (- (/ 1/3 (pow x 4)) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal -1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x)))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (*.f64 x #s(literal 1/5 binary64))))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64)))))))))
(* 7/25 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 7/25 binary64)))
(* (pow x 3) (+ 7/25 (* 76/125 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 76/125 binary64) (.f64 (*.f64 x x) #s(literal 7/25 binary64))))
(* (pow x 3) (+ 7/25 (+ (/ 2387/5625 (pow x 4)) (* 76/125 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal 76/125 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 7/25 binary64) (/.f64 #s(literal 2387/5625 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(* (pow x 3) (- (+ 7/25 (+ (/ 2387/5625 (pow x 4)) (* 76/125 (/ 1 (pow x 2))))) (* 42434/28125 (/ 1 (pow x 6)))))
(.f64 x (+.f64 (+.f64 #s(literal 76/125 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 7/25 binary64) (/.f64 #s(literal 2387/5625 binary64) (.f64 x (.f64 x (.f64 x x))))))) (/.f64 (.f64 (.f64 x x) #s(literal -42434/28125 binary64)) (pow.f64 x #s(literal 6 binary64)))))
(* 7/25 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 7/25 binary64)))
(* (pow x 3) (+ 7/25 (* 76/125 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 76/125 binary64) (.f64 (*.f64 x x) #s(literal 7/25 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 76/125 (* 2387/5625 (/ 1 (pow x 2)))) (pow x 2))) 7/25)))
(.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 (/.f64 (+.f64 #s(literal -76/125 binary64) (/.f64 #s(literal -2387/5625 binary64) (.f64 x x))) (.f64 x x)) #s(literal -7/25 binary64)) #s(literal -1 binary64)))
(* -1 (* (pow x 3) (- (* 42434/28125 (/ 1 (pow x 6))) (+ 7/25 (+ (/ 2387/5625 (pow x 4)) (* 76/125 (/ 1 (pow x 2))))))))
(.f64 x (+.f64 (+.f64 #s(literal 76/125 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 7/25 binary64) (/.f64 #s(literal 2387/5625 binary64) (.f64 x (.f64 x (.f64 x x))))))) (/.f64 (.f64 (.f64 x x) #s(literal -42434/28125 binary64)) (pow.f64 x #s(literal 6 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x)))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64)))))))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))))
(* 7/25 (pow x 2))
(.f64 (.f64 x x) #s(literal 7/25 binary64))
(* (pow x 2) (+ 7/25 (* 76/125 (/ 1 (pow x 2)))))
(+.f64 #s(literal 76/125 binary64) (.f64 (.f64 x x) #s(literal 7/25 binary64)))
(* (pow x 2) (+ 7/25 (+ (/ 2387/5625 (pow x 4)) (* 76/125 (/ 1 (pow x 2))))))
(+.f64 #s(literal 76/125 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 7/25 binary64) (/.f64 #s(literal 2387/5625 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 2) (- (+ 7/25 (+ (/ 2387/5625 (pow x 4)) (* 76/125 (/ 1 (pow x 2))))) (* 42434/28125 (/ 1 (pow x 6)))))
(+.f64 (+.f64 #s(literal 76/125 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 7/25 binary64) (/.f64 #s(literal 2387/5625 binary64) (.f64 x (.f64 x (.f64 x x))))))) (/.f64 (.f64 (*.f64 x x) #s(literal -42434/28125 binary64)) (pow.f64 x #s(literal 6 binary64))))
(* 7/25 (pow x 2))
(.f64 (.f64 x x) #s(literal 7/25 binary64))
(* (pow x 2) (+ 7/25 (* 76/125 (/ 1 (pow x 2)))))
(+.f64 #s(literal 76/125 binary64) (.f64 (.f64 x x) #s(literal 7/25 binary64)))
(* (pow x 2) (+ 7/25 (+ (/ 2387/5625 (pow x 4)) (* 76/125 (/ 1 (pow x 2))))))
(+.f64 #s(literal 76/125 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 7/25 binary64) (/.f64 #s(literal 2387/5625 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 2) (- (+ 7/25 (+ (/ 2387/5625 (pow x 4)) (* 76/125 (/ 1 (pow x 2))))) (* 42434/28125 (/ 1 (pow x 6)))))
(+.f64 (+.f64 #s(literal 76/125 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 7/25 binary64) (/.f64 #s(literal 2387/5625 binary64) (.f64 x (.f64 x (.f64 x x))))))) (/.f64 (.f64 (*.f64 x x) #s(literal -42434/28125 binary64)) (pow.f64 x #s(literal 6 binary64))))
(* 1/3 (pow x 2))
(.f64 #s(literal 1/3 binary64) (.f64 x x))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x #s(literal 1/5 binary64))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/7 (* 6/35 (pow x 2))))))))
(.f64 x (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/7 binary64) (.f64 (.f64 x x) #s(literal 6/35 binary64))))))))))
(* 7/25 (pow x 2))
(.f64 (.f64 x x) #s(literal 7/25 binary64))
(* (pow x 2) (- 7/25 (* 49/125 (/ 1 (pow x 2)))))
(+.f64 (.f64 (.f64 x x) #s(literal 7/25 binary64)) #s(literal -49/125 binary64))
(* (pow x 2) (- (+ 7/25 (/ 2387/5625 (pow x 4))) (* 49/125 (/ 1 (pow x 2)))))
(+.f64 #s(literal -49/125 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 7/25 binary64) (/.f64 #s(literal 2387/5625 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 2) (- (+ 7/25 (/ 2387/5625 (pow x 4))) (+ (* 49/125 (/ 1 (pow x 2))) (* 42434/28125 (/ 1 (pow x 6))))))
(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal -49/125 binary64) (.f64 x x)) (+.f64 (+.f64 #s(literal 7/25 binary64) (/.f64 #s(literal 2387/5625 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -42434/28125 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 7/25 (pow x 2))
(.f64 (.f64 x x) #s(literal 7/25 binary64))
(* (pow x 2) (- 7/25 (* 49/125 (/ 1 (pow x 2)))))
(+.f64 (.f64 (.f64 x x) #s(literal 7/25 binary64)) #s(literal -49/125 binary64))
(* (pow x 2) (- (+ 7/25 (/ 2387/5625 (pow x 4))) (* 49/125 (/ 1 (pow x 2)))))
(+.f64 #s(literal -49/125 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 7/25 binary64) (/.f64 #s(literal 2387/5625 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 2) (- (+ 7/25 (/ 2387/5625 (pow x 4))) (+ (* 49/125 (/ 1 (pow x 2))) (* 42434/28125 (/ 1 (pow x 6))))))
(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal -49/125 binary64) (.f64 x x)) (+.f64 (+.f64 #s(literal 7/25 binary64) (/.f64 #s(literal 2387/5625 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -42434/28125 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* (pow x 2) (+ 1/9 (* -1/25 (pow x 4))))
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(* 1/5 (pow x 4))
(.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/5 (* 7/15 (/ 1 (pow x 4)))))
(+.f64 (.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 7/15 binary64))
(* (pow x 4) (- (+ 1/5 (* 7/15 (/ 1 (pow x 4)))) (/ 322/225 (pow x 6))))
(+.f64 #s(literal 7/15 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal -322/225 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* (pow x 4) (- (+ 1/5 (+ (* 7/15 (/ 1 (pow x 4))) (* 3479/1125 (/ 1 (pow x 8))))) (/ 322/225 (pow x 6))))
(+.f64 (+.f64 (.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 7/15 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 3479/1125 binary64) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal -322/225 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 1/9 (pow x 2))
(.f64 x (.f64 x #s(literal 1/9 binary64)))
(* (pow x 2) (+ 1/9 (* -1/25 (pow x 4))))
(.f64 x (.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/25 binary64)))))
(* (pow x 2) (+ 1/9 (* (pow x 4) (- (* -1/35 (pow x 2)) 1/25))))
(.f64 x (.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -1/35 binary64)))))))
(* (pow x 2) (+ 1/9 (* (pow x 4) (- (* -1/35 (pow x 2)) 1/25))))
(.f64 x (.f64 x (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/25 binary64) (.f64 (.f64 x x) #s(literal -1/35 binary64)))))))
(* -1/35 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -1/35 binary64))
(* -1 (* (pow x 8) (+ 1/35 (* 1/25 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/35 binary64) (/.f64 #s(literal -1/25 binary64) (.f64 x x))))
(* (pow x 8) (- (/ 1/9 (pow x 6)) (+ 1/35 (* 1/25 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -1/35 binary64) (/.f64 #s(literal -1/25 binary64) (.f64 x x)))))
(* (pow x 8) (- (/ 1/9 (pow x 6)) (+ 1/35 (* 1/25 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -1/35 binary64) (/.f64 #s(literal -1/25 binary64) (.f64 x x)))))
(* -1/35 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -1/35 binary64))
(* -1 (* (pow x 8) (+ 1/35 (* 1/25 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/35 binary64) (/.f64 #s(literal -1/25 binary64) (.f64 x x))))
(* (pow x 8) (- (/ 1/9 (pow x 6)) (+ 1/35 (* 1/25 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -1/35 binary64) (/.f64 #s(literal -1/25 binary64) (.f64 x x)))))
(* (pow x 8) (- (/ 1/9 (pow x 6)) (+ 1/35 (* 1/25 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -1/35 binary64) (/.f64 #s(literal -1/25 binary64) (.f64 x x)))))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/7 (pow x 2))
(.f64 x (.f64 x #s(literal 1/7 binary64)))
(* 1/7 (pow x 2))
(.f64 x (.f64 x #s(literal 1/7 binary64)))
(* 1/7 (pow x 2))
(.f64 x (.f64 x #s(literal 1/7 binary64)))
(* 1/7 (pow x 2))
(.f64 x (.f64 x #s(literal 1/7 binary64)))
(* 1/7 (pow x 2))
(.f64 x (.f64 x #s(literal 1/7 binary64)))
(* 1/7 (pow x 2))
(.f64 x (.f64 x #s(literal 1/7 binary64)))
(* 1/7 (pow x 2))
(.f64 x (.f64 x #s(literal 1/7 binary64)))
(* 1/7 (pow x 2))
(.f64 x (.f64 x #s(literal 1/7 binary64)))
(* 1/7 (pow x 2))
(.f64 x (.f64 x #s(literal 1/7 binary64)))
(* 1/7 (pow x 2))
(.f64 x (.f64 x #s(literal 1/7 binary64)))
(* 1/7 (pow x 2))
(.f64 x (.f64 x #s(literal 1/7 binary64)))
(* 1/7 (pow x 2))
(.f64 x (.f64 x #s(literal 1/7 binary64)))
(* -2/35 x)
(*.f64 x #s(literal -2/35 binary64))
(* -2/35 x)
(*.f64 x #s(literal -2/35 binary64))
(* -2/35 x)
(*.f64 x #s(literal -2/35 binary64))
(* -2/35 x)
(*.f64 x #s(literal -2/35 binary64))
(* -2/35 x)
(*.f64 x #s(literal -2/35 binary64))
(* -2/35 x)
(*.f64 x #s(literal -2/35 binary64))
(* -2/35 x)
(*.f64 x #s(literal -2/35 binary64))
(* -2/35 x)
(*.f64 x #s(literal -2/35 binary64))
(* -2/35 x)
(*.f64 x #s(literal -2/35 binary64))
(* -2/35 x)
(*.f64 x #s(literal -2/35 binary64))
(* -2/35 x)
(*.f64 x #s(literal -2/35 binary64))
(* -2/35 x)
(*.f64 x #s(literal -2/35 binary64))
(* 1/5 (pow x 2))
(.f64 x (.f64 x #s(literal 1/5 binary64)))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))
(* 1/7 (pow x 4))
(.f64 #s(literal 1/7 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))))
(* 1/7 (pow x 4))
(.f64 #s(literal 1/7 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (*.f64 x x))))
(* 2/35 (pow x 2))
(.f64 x (.f64 x #s(literal 2/35 binary64)))
(* 2/35 (pow x 2))
(.f64 x (.f64 x #s(literal 2/35 binary64)))
(* 2/35 (pow x 2))
(.f64 x (.f64 x #s(literal 2/35 binary64)))
(* 2/35 (pow x 2))
(.f64 x (.f64 x #s(literal 2/35 binary64)))
(* 2/35 (pow x 2))
(.f64 x (.f64 x #s(literal 2/35 binary64)))
(* 2/35 (pow x 2))
(.f64 x (.f64 x #s(literal 2/35 binary64)))
(* 2/35 (pow x 2))
(.f64 x (.f64 x #s(literal 2/35 binary64)))
(* 2/35 (pow x 2))
(.f64 x (.f64 x #s(literal 2/35 binary64)))
(* 2/35 (pow x 2))
(.f64 x (.f64 x #s(literal 2/35 binary64)))
(* 2/35 (pow x 2))
(.f64 x (.f64 x #s(literal 2/35 binary64)))
(* 2/35 (pow x 2))
(.f64 x (.f64 x #s(literal 2/35 binary64)))
(* 2/35 (pow x 2))
(.f64 x (.f64 x #s(literal 2/35 binary64)))
(* 1/25 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/25 binary64))
(* (pow x 2) (+ 1/25 (* 1/35 (pow x 2))))
(.f64 (.f64 (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 x x) #s(literal 1/35 binary64))) x) x)
(* (pow x 2) (+ 1/25 (* 1/35 (pow x 2))))
(.f64 (.f64 (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 x x) #s(literal 1/35 binary64))) x) x)
(* (pow x 2) (+ 1/25 (* 1/35 (pow x 2))))
(.f64 (.f64 (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 x x) #s(literal 1/35 binary64))) x) x)
(* 1/35 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/35 binary64))
(* (pow x 4) (+ 1/35 (* 1/25 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1/25 binary64) (*.f64 x x)) #s(literal 1/35 binary64)))
(* (pow x 4) (+ 1/35 (* 1/25 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1/25 binary64) (*.f64 x x)) #s(literal 1/35 binary64)))
(* (pow x 4) (+ 1/35 (* 1/25 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1/25 binary64) (*.f64 x x)) #s(literal 1/35 binary64)))
(* 1/35 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/35 binary64))
(* (pow x 4) (+ 1/35 (* 1/25 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1/25 binary64) (*.f64 x x)) #s(literal 1/35 binary64)))
(* (pow x 4) (+ 1/35 (* 1/25 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1/25 binary64) (*.f64 x x)) #s(literal 1/35 binary64)))
(* (pow x 4) (+ 1/35 (* 1/25 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1/25 binary64) (*.f64 x x)) #s(literal 1/35 binary64)))

eval170.0ms (2.1%)

Compiler: Compiled 41590 to 2130 computations (94.9% saved)

prune71.0ms (0.9%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	766	4	770
Fresh	0	0	0
Picked	4	0	4
Done	0	6	6
Total	770	10	780

Accuracy

100.0%

Counts

780 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))) x)
	20.1%	(.f64 x (+.f64 #s(literal 22/15 binary64) (.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x (*.f64 x x))))))
	99.6%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 x x) #s(literal 1/35 binary64))) x) x))) (.f64 x x)) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))
	99.6%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/7 binary64) (.f64 (*.f64 x x) #s(literal 3/35 binary64)))))))))))
✓	99.5%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))))
✓	99.6%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))
	4.3%	(.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (-.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 7/25 binary64) (.f64 x x))) (/.f64 #s(literal 872/375 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
✓	99.6%	(.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64))))))
✓	100.0%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	99.3%	x

Compiler

Compiled 672 to 256 computations (61.9% saved)

regimes52.0ms (0.6%)

Counts

17 → 1

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))) x)
(.f64 x (+.f64 #s(literal 22/15 binary64) (.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))
(.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (-.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 7/25 binary64) (.f64 x x))) (/.f64 #s(literal 872/375 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/7 binary64) (.f64 (*.f64 x x) #s(literal 3/35 binary64)))))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25 binary64)))) (.f64 x x)) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 x x) #s(literal 2/35 binary64)))))) (.f64 x x)) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 x x) #s(literal 1/35 binary64))) x) x))) (.f64 x x)) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (.f64 (.f64 x x) #s(literal 1/5 binary64))))) (.f64 x x)) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))) (.f64 x x)) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/25 binary64) (.f64 x (.f64 x #s(literal -2/35 binary64))))))) (-.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))) (-.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))))))
(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal 1/2 binary64) (-.f64 (log1p.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -1 binary64))))))

Outputs
(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))

Calls

4 calls:

33.0ms	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
5.0ms	(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
5.0ms	(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
5.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
100.0%	1	`(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
100.0%	1	`(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes6.0ms (0.1%)

Counts

15 → 1

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))) x)
(.f64 x (+.f64 #s(literal 22/15 binary64) (.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))
(.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (-.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 7/25 binary64) (.f64 x x))) (/.f64 #s(literal 872/375 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/7 binary64) (.f64 (*.f64 x x) #s(literal 3/35 binary64)))))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/25 binary64)))) (.f64 x x)) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 x x) #s(literal 2/35 binary64)))))) (.f64 x x)) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 x x) #s(literal 1/35 binary64))) x) x))) (.f64 x x)) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (.f64 (.f64 x x) #s(literal 1/5 binary64))))) (.f64 x x)) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))) (.f64 x x)) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/25 binary64) (.f64 x (.f64 x #s(literal -2/35 binary64))))))) (-.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))))) (-.f64 (.f64 x (.f64 x #s(literal 1/3 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))))))

Outputs

(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/7 binary64) (*.f64 (*.f64 x x) #s(literal 3/35 binary64)))))))))))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

7 → 1

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))) x)
(.f64 x (+.f64 #s(literal 22/15 binary64) (.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))
(.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (-.f64 #s(literal 2/5 binary64) (/.f64 #s(literal 7/25 binary64) (.f64 x x))) (/.f64 #s(literal 872/375 binary64) (.f64 x (.f64 x (*.f64 x x)))))))

Outputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

5 → 1

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))) x)
(.f64 x (+.f64 #s(literal 22/15 binary64) (.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))))

Outputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes17.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))) x)
(.f64 x (+.f64 #s(literal 22/15 binary64) (.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x (*.f64 x x))))))

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

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
99.5%	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 #s(literal 1/3 binary64) (*.f64 x x))))

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
99.5%	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
99.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

44×	`*-commutative_binary64`
26×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	92
1	81	92
2	85	92
3	87	92
4	88	92

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/7 binary64) (.f64 (*.f64 x x) #s(literal 3/35 binary64)))))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
x

Outputs
(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/7 binary64) (.f64 (*.f64 x x) #s(literal 3/35 binary64)))))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/5 binary64))))))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))) x)
(+.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64))))
x

soundness1.5s (18.2%)

Rules

5472×	`-lowering-.f32`
5472×	`-lowering-.f64`
5400×	`-lowering-.f32`
5400×	`-lowering-.f64`
4314×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	238	2898
1	743	2511
2	2477	2407
3	7260	2407
0	8121	2407
0	39	215
1	266	197
2	2671	182
0	9678	182
0	135	1830
1	439	1558
2	1354	1521
3	4160	1513
0	8331	1513
0	106	394
1	331	345
2	992	334
3	2914	331
4	5296	331
0	8411	331

Stop Event

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

Compiler

Compiled 256 to 140 computations (45.3% saved)

preprocess63.0ms (0.8%)

Compiler: Compiled 208 to 106 computations (49% saved)

Iter	Nodes	Cost
0	5	9
1	11	9
2	15	9
3	18	9
4	30	9
5	37	9
6	46	9
7	52	9
0	10	10
1	20	10
2	28	10
3	37	10
4	47	10
5	66	10
6	111	10
7	188	10
8	360	10
9	461	10
10	528	10
11	542	10
12	651	10
0	651	10

Iter	Nodes	Cost
0	10	35
1	20	35
2	28	35
3	37	35
4	47	35
5	66	35
6	111	35
7	188	35
8	360	35
9	461	35
10	528	35
11	542	35
12	651	35
0	651	35

Iter	Nodes	Cost
0	5	9
1	11	9
2	15	9
3	18	9
4	30	9
5	37	9
6	46	9
7	52	9
0	10	10
1	20	10
2	28	10
3	37	10
4	47	10
5	66	10
6	111	10
7	188	10
8	360	10
9	461	10
10	528	10
11	542	10
12	651	10
0	651	10

Iter	Nodes	Cost
0	10	35
1	20	35
2	28	35
3	37	35
4	47	35
5	66	35
6	111	35
7	188	35
8	360	35
9	461	35
10	528	35
11	542	35
12	651	35
0	651	35

analyze2.0ms (0%)

sample500.0ms (6.1%)

preprocess57.0ms (0.7%)

explain310.0ms (3.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify19.0ms (0.2%)

localize156.0ms (1.9%)

series4.0ms (0.1%)

rewrite226.0ms (2.7%)

simplify224.0ms (2.7%)

eval18.0ms (0.2%)

prune20.0ms (0.2%)

simplify191.0ms (2.3%)

localize777.0ms (9.4%)

series18.0ms (0.2%)

rewrite386.0ms (4.7%)

simplify315.0ms (3.8%)

eval171.0ms (2.1%)

prune100.0ms (1.2%)

simplify211.0ms (2.6%)

localize247.0ms (3%)

series10.0ms (0.1%)

rewrite553.0ms (6.7%)

simplify255.0ms (3.1%)

eval151.0ms (1.8%)

prune76.0ms (0.9%)

simplify211.0ms (2.6%)

localize438.0ms (5.3%)

series22.0ms (0.3%)

rewrite364.0ms (4.4%)

simplify319.0ms (3.9%)

eval170.0ms (2.1%)

prune71.0ms (0.9%)

regimes52.0ms (0.6%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes17.0ms (0.2%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify10.0ms (0.1%)

soundness1.5s (18.2%)

preprocess63.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	5	9
1	11	9
2	15	9
3	18	9
4	30	9
5	37	9
6	46	9
7	52	9
0	10	10
1	20	10
2	28	10
3	37	10
4	47	10
5	66	10
6	111	10
7	188	10
8	360	10
9	461	10
10	528	10
11	542	10
12	651	10
0	651	10

Iter	Nodes	Cost
0	10	35
1	20	35
2	28	35
3	37	35
4	47	35
5	66	35
6	111	35
7	188	35
8	360	35
9	461	35
10	528	35
11	542	35
12	651	35
0	651	35