Metrics for Rust f32::atanh

analyze2.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.6%	0.4%	0%	0%	0%	0
0%	0%	99.6%	0.4%	0%	0%	0%	1
0%	0%	99.6%	0.4%	0%	0%	0%	2
0%	0%	49.8%	0.4%	0%	49.8%	0%	3
50%	24.9%	24.9%	0.4%	0%	49.8%	0%	4
75%	37.4%	12.5%	0.4%	0%	49.8%	0%	5
87.5%	43.6%	6.2%	0.4%	0%	49.8%	0%	6
93.8%	46.7%	3.1%	0.4%	0%	49.8%	0%	7
96.9%	48.2%	1.6%	0.4%	0%	49.8%	0%	8
98.4%	49%	0.8%	0.4%	0%	49.8%	0%	9
99.2%	49.4%	0.4%	0.4%	0%	49.8%	0%	10
99.6%	49.4%	0.2%	0.4%	0%	50%	0%	11
99.8%	49.5%	0.1%	0.4%	0%	50%	0%	12

Compiler

Compiled 4 to 3 computations (25% saved)

Precisions

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

const: 0.0ms (0% of total)

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

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

sample407.0ms (4.5%)

Results

306.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-atanh: 80.0ms (89.9% of total)

const: 7.0ms (7.9% of total)

backward-pass: 3.0ms (3.4% of total)

Bogosity

preprocess31.0ms (0.3%)

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)))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))

Call 2

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

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

explain179.0ms (2%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
-	-	`(*.f32 #s(literal 2 binary32) x)`
-	-	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
-	-	`(-.f32 #s(literal 1 binary32) x)`
-	-	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`
-	-	`#s(literal 1/2 binary32)`
-	-	`#s(literal 1 binary32)`
-	-	`#s(literal 2 binary32)`

Results

114.0ms	282×	1	valid
32.0ms	230×	0	valid

Compiler

Compiled 85 to 29 computations (65.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-mult: 32.0ms (31.2% of total)

compiled-spec: 25.0ms (24.4% of total)

ival-log: 15.0ms (14.6% of total)

backward-pass: 13.0ms (12.7% of total)

ival-div: 7.0ms (6.8% of total)

ival-add: 5.0ms (4.9% of total)

ival-sub: 4.0ms (3.9% of total)

const: 2.0ms (1.9% 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
▶	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify27.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f32 #s(literal 2 binary32) x)
✓	cost-diff	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
✓	cost-diff	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
✓	cost-diff	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) 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)))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
1/2
#s(literal 1/2 binary32)
(log (+ 1 (/ (* 2 x) (- 1 x))))
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
(/ (* 2 x) (- 1 x))
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
2
#s(literal 2 binary32)
x
(- 1 x)
(-.f32 #s(literal 1 binary32) x)
1
#s(literal 1 binary32)

localize85.0ms (0.9%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f32 #s(literal 2 binary32) x)
✓	accuracy	100.0%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
✓	accuracy	99.9%	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
✓	accuracy	99.8%	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))

Results

40.0ms	141×	1	valid
28.0ms	115×	0	valid

Compiler

Compiled 37 to 10 computations (73% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

compiled-spec: 13.0ms (32.5% of total)

ival-log: 8.0ms (20% of total)

ival-mult: 6.0ms (15% of total)

backward-pass: 5.0ms (12.5% of total)

ival-div: 3.0ms (7.5% of total)

ival-add: 2.0ms (5% of total)

ival-sub: 2.0ms (5% of total)

const: 1.0ms (2.5% of total)

series4.0ms (0%)

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)

rewrite224.0ms (2.5%)

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
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) x))))
(*.f32 (log1p.f32 (/.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) x))) #s(literal 1/2 binary32))
(log1p.f32 (/.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) x)))
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) x))))))
(+.f32 (log1p.f32 (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal 8 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32)) #s(literal 2 binary32)))))))
(+.f32 (log1p.f32 (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal 8 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))))) (neg.f32 (log1p.f32 (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32)) #s(literal 2 binary32))))))
(+.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32)))))))
(+.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (neg.f32 (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32))))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) x))))))
(-.f32 (log1p.f32 (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal 8 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))))) (log1p.f32 (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32)) #s(literal 2 binary32)))))
(-.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32)))))
(-.f32 (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal 8 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))))))) (log.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32)) #s(literal 2 binary32)))))))
(-.f32 (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))))) (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) x)))))
(-.f32 (log.f32 (+.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))) #s(literal -1 binary32))) (log.f32 (+.f32 (/.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) x)) #s(literal -1 binary32))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal 8 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (-.f32 (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32)) #s(literal 2 binary32)))) #s(literal 3 binary32))) (+.f32 (.f32 (log1p.f32 (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal 8 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))))) (log1p.f32 (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal 8 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x)))))) (+.f32 (.f32 (log1p.f32 (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (-.f32 (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32)) #s(literal 2 binary32)))) (log1p.f32 (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (-.f32 (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32)) #s(literal 2 binary32))))) (.f32 (log1p.f32 (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal 8 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))))) (log1p.f32 (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32)) #s(literal 2 binary32))))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32)))) #s(literal 3 binary32))) (+.f32 (.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32)))))) (+.f32 (.f32 (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32)))) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32))))) (.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32))))))))
(/.f32 (-.f32 (.f32 (log1p.f32 (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal 8 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))))) (log1p.f32 (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal 8 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x)))))) (.f32 (log1p.f32 (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (-.f32 (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32)) #s(literal 2 binary32)))) (log1p.f32 (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (-.f32 (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32)) #s(literal 2 binary32)))))) (+.f32 (log1p.f32 (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal 8 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))))) (log1p.f32 (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32)) #s(literal 2 binary32))))))
(/.f32 (-.f32 (.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32)))))) (.f32 (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32)))) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32)))))) (+.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32))))))
(log.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) x))))
(neg.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32))))
(exp.f32 (.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (.f32 #s(literal 2 binary32) x))) #s(literal -1 binary32)))
(+.f32 (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))) #s(literal 1 binary32)) (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))) (*.f32 x (+.f32 #s(literal 1 binary32) x))))
(+.f32 (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))) (.f32 x (+.f32 #s(literal 1 binary32) x))) (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))) #s(literal 1 binary32)))
(+.f32 (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))) (+.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))) x))
(+.f32 (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x))) #s(literal 1 binary32)) (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x))) x))
(+.f32 (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x))) x) (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x))) #s(literal 1 binary32)))
(+.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x))))) (.f32 (.f32 x (+.f32 #s(literal 1 binary32) x)) (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x))))))
(+.f32 (.f32 (.f32 x (+.f32 #s(literal 1 binary32) x)) (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x))))) (.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x))))))
(+.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 x x)) (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x))))) (.f32 x (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x))))))
(+.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x)))) (.f32 x (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x)))))
(+.f32 (.f32 x (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x)))) (.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x)))))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 #s(literal 2 binary32) x)) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32))))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 x #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 #s(literal 2 binary32) x)))
(/.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) x))
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
(/.f32 (*.f32 x #s(literal -2 binary32)) (+.f32 x #s(literal -1 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/2 binary32) x))
(/.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal -2 binary32))))
(/.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x)))))
(/.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x)))
(/.f32 (.f32 (.f32 #s(literal 2 binary32) x) (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x))))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(/.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) x))
(/.f32 (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (+.f32 #s(literal 1 binary32) x)) (.f32 (.f32 x (+.f32 #s(literal 1 binary32) x)) (.f32 x (+.f32 #s(literal 1 binary32) x)))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (+.f32 #s(literal 1 binary32) x)) (-.f32 (.f32 x (+.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))))
(/.f32 (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x (+.f32 #s(literal 1 binary32) x)) (.f32 x (+.f32 #s(literal 1 binary32) x))))) (-.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))))
(/.f32 (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x))) (-.f32 #s(literal 1 binary32) (.f32 x x))) (-.f32 #s(literal 1 binary32) x))
(/.f32 (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))) (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 x #s(literal -1 binary32)))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) x)))
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))
(.f32 #s(literal 2 binary32) (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))
(*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))
(.f32 x (.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))
(.f32 x (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))
(.f32 x (.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal -1 binary32)))))
(.f32 (.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)))
(*.f32 (/.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) x)) #s(literal 1 binary32))
(.f32 (.f32 x #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal -1 binary32))))
(.f32 (.f32 x #s(literal -2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal -1 binary32))) #s(literal 1 binary32)))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))))
(.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)) (.f32 #s(literal 2 binary32) x))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)) (pow.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal -1 binary32)))
(.f32 (neg.f32 x) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal -1 binary32)))))
(*.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))))
(.f32 (+.f32 #s(literal 1 binary32) x) (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))
(.f32 #s(literal -1 binary32) (/.f32 (.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal -1 binary32))) (.f32 x #s(literal -2 binary32)))
(*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 x #s(literal -1 binary32))))
(*.f32 #s(literal -2 binary32) (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) x)))
(.f32 #s(literal -2 binary32) (.f32 x (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal -1 binary32)))))
(.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))))))
(.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))) (.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x))) #s(literal 2 binary32)))
(.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x))) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))))
(.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x))) (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)))
(.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x))))
(.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x))))))
(.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) #s(literal 1 binary32)))
(.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 #s(literal 1 binary32) x))
(.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))))
(.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))) (.f32 (.f32 #s(literal 2 binary32) x) (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x)))))
(.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))) (/.f32 (.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x))))))
(.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))))
(.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))))
(*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x)
(.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))) (/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))))))
(.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))) (/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))))
(*.f32 (/.f32 x #s(literal -1 binary32)) (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) x)))
(*.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))
(.f32 (/.f32 (.f32 #s(literal 2 binary32) x) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)))
(.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (.f32 #s(literal 2 binary32) x)) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 #s(literal 2 binary32) x)) #s(literal -1/2 binary32)))
(.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x))))) (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))))
(.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x)))) (+.f32 #s(literal 1 binary32) x))
(.f32 (/.f32 (.f32 x #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))))
(.f32 (/.f32 (.f32 x #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 (neg.f32 x) #s(literal -1 binary32)))
(.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x))))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))))
(.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (+.f32 #s(literal -1 binary32) (*.f32 x x))) (+.f32 (neg.f32 x) #s(literal -1 binary32)))
(neg.f32 (*.f32 x #s(literal -2 binary32)))
(-.f32 #s(literal 0 binary32) (*.f32 x #s(literal -2 binary32)))
(.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
(*.f32 x #s(literal 2 binary32))
(.f32 (.f32 #s(literal 2 binary32) x) #s(literal 1 binary32))
(*.f32 (neg.f32 x) #s(literal -2 binary32))
(.f32 #s(literal -1 binary32) (.f32 x #s(literal -2 binary32)))
(*.f32 #s(literal -2 binary32) (neg.f32 x))

simplify209.0ms (2.3%)

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))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(+.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x x))))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(+.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) x)) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x))) (/.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x (.f32 x (*.f32 x x)))))))
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(+.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x x))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(+.f32 (.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/3 binary32) (/.f32 #s(literal -1/5 binary32) (.f32 x x))) (*.f32 x x))) x))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2/3 (pow x 2))))
(.f32 x (+.f32 #s(literal 2 binary32) (.f32 (*.f32 x x) #s(literal 2/3 binary32))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(.f32 x (+.f32 #s(literal 2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 2/3 binary32) (.f32 x (*.f32 x #s(literal 2/5 binary32)))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(.f32 x (+.f32 #s(literal 2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 2/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 2/5 binary32) (.f32 x (*.f32 x #s(literal 2/7 binary32)))))))))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (.f32 x (.f32 x x)))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x)) (+.f32 (/.f32 #s(literal 2/3 binary32) (.f32 x (.f32 x x))) (/.f32 #s(literal 2/5 binary32) (.f32 x (.f32 x (.f32 x (.f32 x x)))))))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (.f32 x (.f32 x x)))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 2/3 binary32) (/.f32 #s(literal 2/5 binary32) (.f32 x x))) (.f32 x x))) x))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2 x)))
(.f32 x (+.f32 #s(literal 2 binary32) (.f32 x #s(literal 2 binary32))))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(.f32 (.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 x #s(literal 1 binary32)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(.f32 x (.f32 (+.f32 #s(literal 2 binary32) (.f32 x #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 x x))))
-2
#s(literal -2 binary32)
(* -1 (+ 2 (* 2 (/ 1 x))))
(+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(+.f32 (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x)) x) #s(literal -2 binary32))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) x)) x))
-2
#s(literal -2 binary32)
(* -1 (+ 2 (* 2 (/ 1 x))))
(+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(+.f32 (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x)) x) #s(literal -2 binary32))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) x)) x))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))

eval14.0ms (0.2%)

Compiler: Compiled 2946 to 586 computations (80.1% saved)

prune34.0ms (0.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	148	7	155
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	148	8	156

Accuracy

100.0%

Counts

156 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.0%	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
▶	99.3%	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
▶	98.5%	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
	99.4%	(.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32))))))
▶	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (.f32 x x)))))
✓	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
	99.7%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x)))
▶	96.6%	x

Compiler

Compiled 219 to 151 computations (31.1% saved)

simplify172.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f32 x x)
✓	cost-diff	0	(.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))
✓	cost-diff	0	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
✓	cost-diff	0	(*.f32 x x)
✓	cost-diff	0	(.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32))))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))))
✓	cost-diff	0	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
✓	cost-diff	0	(*.f32 x x)
✓	cost-diff	0	(.f32 #s(literal 1/3 binary32) (.f32 x x))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (.f32 x x)))
✓	cost-diff	0	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
✓	cost-diff	0	(.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x)))
✓	cost-diff	192	(/.f32 (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
✓	cost-diff	192	(log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
✓	cost-diff	192	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (.f32 x x)))))

Rules

2542×	`-lowering-.f32`
2542×	`-lowering-.f64`
2182×	`fma-define`
1782×	`fnmadd-define`
1676×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	32	231
1	108	205
2	338	202
3	921	202
4	1896	202
5	3211	202
6	4458	190
7	7732	190
0	8698	190

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(* 1/2 (log (+ 1 (/ (* 2 (* x (+ 1 x))) (- 1 (* x x))))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
1/2
#s(literal 1/2 binary32)
(log (+ 1 (/ (* 2 (* x (+ 1 x))) (- 1 (* x x)))))
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
(/ (* 2 (* x (+ 1 x))) (- 1 (* x x)))
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
(* 2 (* x (+ 1 x)))
(.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x)))
2
#s(literal 2 binary32)
(* x (+ 1 x))
(*.f32 x (+.f32 #s(literal 1 binary32) x))
x
(+ 1 x)
(+.f32 #s(literal 1 binary32) x)
1
#s(literal 1 binary32)
(- 1 (* x x))
(-.f32 #s(literal 1 binary32) (*.f32 x x))
(* x x)
(*.f32 x x)
x
(* x (+ 1 (* 1/3 (* x x))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))
x
(+ 1 (* 1/3 (* x x)))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32))))
1
#s(literal 1 binary32)
(* 1/3 (* x x))
(.f32 x (.f32 x #s(literal 1/3 binary32)))
1/3
#s(literal 1/3 binary32)
(* x x)
(*.f32 x x)
(* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) 1/5)))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32)))))))
x
(+ 1 (* (* x x) (+ 1/3 (* (* x x) 1/5))))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32))))))
1
#s(literal 1 binary32)
(* (* x x) (+ 1/3 (* (* x x) 1/5)))
(.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))))
(* x x)
(*.f32 x x)
(+ 1/3 (* (* x x) 1/5))
(+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))
1/3
#s(literal 1/3 binary32)
(* (* x x) 1/5)
(.f32 (.f32 x x) #s(literal 1/5 binary32))
1/5
#s(literal 1/5 binary32)
(* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
x
(+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))
1
#s(literal 1 binary32)
(* (* x x) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))
(* x x)
(*.f32 x x)
(+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))
(+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))
1/3
#s(literal 1/3 binary32)
(* x (* x (+ 1/5 (* (* x x) 1/7))))
(.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))
(* x (+ 1/5 (* (* x x) 1/7)))
(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))
(+ 1/5 (* (* x x) 1/7))
(+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))
1/5
#s(literal 1/5 binary32)
(* (* x x) 1/7)
(.f32 (.f32 x x) #s(literal 1/7 binary32))
1/7
#s(literal 1/7 binary32)

localize342.0ms (3.8%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))
✓	accuracy	99.4%	(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))
✓	accuracy	99.3%	(.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))
✓	accuracy	99.1%	(.f32 (.f32 x x) #s(literal 1/7 binary32))
✓	accuracy	99.9%	(+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))
✓	accuracy	99.9%	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
✓	accuracy	99.5%	(.f32 (.f32 x x) #s(literal 1/5 binary32))
✓	accuracy	99.3%	(.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32))))
✓	accuracy	100.0%	(+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (.f32 x x)))
✓	accuracy	100.0%	(*.f32 x x)
✓	accuracy	99.9%	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
✓	accuracy	99.3%	(.f32 #s(literal 1/3 binary32) (.f32 x x))
✓	accuracy	100.0%	(-.f32 #s(literal 1 binary32) (*.f32 x x))
✓	accuracy	99.9%	(/.f32 (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
✓	accuracy	99.9%	(log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
✓	accuracy	99.8%	(*.f32 x (+.f32 #s(literal 1 binary32) x))

Results

205.0ms	141×	1	valid
86.0ms	115×	0	valid

Compiler

Compiled 268 to 32 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 117.0ms

ival-mult: 39.0ms (33.3% of total)

...c/correct-round.rkt:119:19: 18.0ms (15.4% of total)

ival-add: 16.0ms (13.7% of total)

backward-pass: 16.0ms (13.7% of total)

compiled-spec: 13.0ms (11.1% of total)

ival-log: 8.0ms (6.8% of total)

ival-div: 3.0ms (2.6% of total)

ival-sub: 2.0ms (1.7% of total)

const: 1.0ms (0.9% of total)

series14.0ms (0.2%)

Counts

21 → 252

Calls

Call 1

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

63 calls:

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

rewrite423.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3086×	`-lowering-.f32`
3086×	`-lowering-.f64`
2768×	`fma-lowering-fma.f32`
2768×	`fma-lowering-fma.f64`
2116×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	188
1	214	165
2	2050	162
0	8338	162

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 515

Calls

Call 1

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

Outputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (.f32 x x)))))
(.f32 (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (.f32 x x)))) #s(literal 1/2 binary32))
(log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (.f32 x x))) #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x)))))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 8 binary32) (.f32 (/.f32 (.f32 x (+.f32 #s(literal 1 binary32) x)) (-.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 (/.f32 (.f32 x (+.f32 #s(literal 1 binary32) x)) (-.f32 #s(literal 1 binary32) (.f32 x x))) (/.f32 (.f32 x (+.f32 #s(literal 1 binary32) x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))))
(neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (.f32 x x)))) (-.f32 #s(literal 1 binary32) (.f32 #s(literal 4 binary32) (.f32 (/.f32 (.f32 x (+.f32 #s(literal 1 binary32) x)) (-.f32 #s(literal 1 binary32) (.f32 x x))) (/.f32 (.f32 x (+.f32 #s(literal 1 binary32) x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))))
(+.f32 (log1p.f32 (.f32 #s(literal 8 binary32) (.f32 (/.f32 (.f32 x (+.f32 #s(literal 1 binary32) x)) (-.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 (/.f32 (.f32 x (+.f32 #s(literal 1 binary32) x)) (-.f32 #s(literal 1 binary32) (.f32 x x))) (/.f32 (.f32 x (+.f32 #s(literal 1 binary32) x)) (-.f32 #s(literal 1 binary32) (.f32 x x))))))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (.f32 x x))) #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 #s(literal 2 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))))))))
(+.f32 (log1p.f32 (neg.f32 (.f32 #s(literal 4 binary32) (.f32 (/.f32 (.f32 x (+.f32 #s(literal 1 binary32) x)) (-.f32 #s(literal 1 binary32) (.f32 x x))) (/.f32 (.f32 x (+.f32 #s(literal 1 binary32) x)) (-.f32 #s(literal 1 binary32) (.f32 x x))))))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (.f32 x x))) #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x)))))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 8 binary32) (.f32 (/.f32 (.f32 x (+.f32 #s(literal 1 binary32) x)) (-.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 (/.f32 (.f32 x (+.f32 #s(literal 1 binary32) x)) (-.f32 #s(literal 1 binary32) (.f32 x x))) (/.f32 (.f32 x (+.f32 #s(literal 1 binary32) x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (.f32 x x)))) (-.f32 #s(literal 1 binary32) (.f32 #s(literal 4 binary32) (.f32 (/.f32 (.f32 x (+.f32 #s(literal 1 binary32) x)) (-.f32 #s(literal 1 binary32) (.f32 x x))) (/.f32 (.f32 x (+.f32 #s(literal 1 binary32) x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))))
(-.f32 (log1p.f32 (.f32 #s(literal 8 binary32) (.f32 (/.f32 (.f32 x (+.f32 #s(literal 1 binary32) x)) (-.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 (/.f32 (.f32 x (+.f32 #s(literal 1 binary32) x)) (-.f32 #s(literal 1 binary32) (.f32 x x))) (/.f32 (.f32 x (+.f32 #s(literal 1 binary32) x)) (-.f32 #s(literal 1 binary32) (.f32 x x))))))) (log1p.f32 (/.f32 (-.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (.f32 x x))) #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 #s(literal 2 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))))))
(-.f32 (log1p.f32 (.f32 #s(literal 8 binary32) (.f32 (/.f32 (.f32 x (+.f32 #s(literal 1 binary32) x)) (-.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 (/.f32 (.f32 x (+.f32 #s(literal 1 binary32) x)) (-.f32 #s(literal 1 binary32) (.f32 x x))) (/.f32 (.f32 x (+.f32 #s(literal 1 binary32) x)) (-.f32 #s(literal 1 binary32) (.f32 x x))))))) (log.f32 (+.f32 (.f32 #s(literal 4 binary32) (.f32 (/.f32 (.f32 x (+.f32 #s(literal 1 binary32) x)) (-.f32 #s(literal 1 binary32) (.f32 x x))) (/.f32 (.f32 x (+.f32 #s(literal 1 binary32) x)) (-.f32 #s(literal 1 binary32) (.f32 x x))))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (.f32 x x)))))))
(-.f32 (log1p.f32 (neg.f32 (.f32 #s(literal 4 binary32) (.f32 (/.f32 (.f32 x (+.f32 #s(literal 1 binary32) x)) (-.f32 #s(literal 1 binary32) (.f32 x x))) (/.f32 (.f32 x (+.f32 #s(literal 1 binary32) x)) (-.f32 #s(literal 1 binary32) (.f32 x x))))))) (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 (.f32 x (+.f32 #s(literal 1 binary32) x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(-.f32 (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 8 binary32) (.f32 (/.f32 (.f32 x (+.f32 #s(literal 1 binary32) x)) (-.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 (/.f32 (.f32 x (+.f32 #s(literal 1 binary32) x)) (-.f32 #s(literal 1 binary32) (.f32 x x))) (/.f32 (.f32 x (+.f32 #s(literal 1 binary32) x)) (-.f32 #s(literal 1 binary32) (.f32 x x))))))))) (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (.f32 x x))) #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 #s(literal 2 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))))))))
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 4 binary32) (.f32 (/.f32 (.f32 x (+.f32 #s(literal 1 binary32) x)) (-.f32 #s(literal 1 binary32) (.f32 x x))) (/.f32 (.f32 x (+.f32 #s(literal 1 binary32) x)) (-.f32 #s(literal 1 binary32) (.f32 x x)))))))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))
(-.f32 (log.f32 (-.f32 (.f32 #s(literal 4 binary32) (.f32 (/.f32 (.f32 x (+.f32 #s(literal 1 binary32) x)) (-.f32 #s(literal 1 binary32) (.f32 x x))) (/.f32 (.f32 x (+.f32 #s(literal 1 binary32) x)) (-.f32 #s(literal 1 binary32) (.f32 x x))))) #s(literal 1 binary32))) (log.f32 (-.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 1 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(neg.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(neg.f32 (/.f32 (.f32 (.f32 x (+.f32 #s(literal 1 binary32) x)) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(exp.f32 (.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 #s(literal 2 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))) #s(literal -1 binary32))
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(/.f32 (neg.f32 (+.f32 #s(literal 1/27 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/125 binary32))))) (neg.f32 (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x (.f32 x #s(literal 1/5 binary32))) (-.f32 (.f32 x (*.f32 x #s(literal 1/5 binary32))) #s(literal 1/3 binary32))))))
(/.f32 (neg.f32 (+.f32 #s(literal 1/27 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/125 binary32))))) (neg.f32 (+.f32 (.f32 #s(literal 1/25 binary32) (.f32 x (.f32 x (.f32 x x)))) (-.f32 #s(literal 1/9 binary32) (.f32 #s(literal 1/15 binary32) (.f32 x x))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1/9 binary32) (.f32 #s(literal 1/25 binary32) (.f32 x (.f32 x (.f32 x x)))))) (neg.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal -1/5 binary32) (.f32 x x)))))
(/.f32 (-.f32 (.f32 #s(literal 1/25 binary32) (.f32 x (.f32 x (.f32 x x)))) #s(literal 1/9 binary32)) (-.f32 (.f32 x (.f32 x #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))
(/.f32 (-.f32 (.f32 #s(literal 1/9 binary32) (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal -1/5 binary32) (.f32 x x)))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal -1/5 binary32) (.f32 x x))) (.f32 #s(literal 1/25 binary32) (.f32 x (.f32 x (.f32 x x)))))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal -1/5 binary32) (.f32 x x))) (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal -1/5 binary32) (*.f32 x x)))))
(/.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1/27 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/125 binary32)))))) (neg.f32 (neg.f32 (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x (.f32 x #s(literal 1/5 binary32))) (-.f32 (.f32 x (*.f32 x #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))))))
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1/9 binary32) (.f32 #s(literal 1/25 binary32) (.f32 x (.f32 x (.f32 x x))))))) (neg.f32 (neg.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal -1/5 binary32) (.f32 x x))))))
(/.f32 (neg.f32 (-.f32 (.f32 #s(literal 1/25 binary32) (.f32 x (.f32 x (.f32 x x)))) #s(literal 1/9 binary32))) (neg.f32 (-.f32 (.f32 x (.f32 x #s(literal 1/5 binary32))) #s(literal 1/3 binary32))))
(.f32 (+.f32 #s(literal 1/27 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/125 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x (.f32 x #s(literal 1/5 binary32))) (-.f32 (.f32 x (.f32 x #s(literal 1/5 binary32))) #s(literal 1/3 binary32))))))
(.f32 (-.f32 #s(literal 1/9 binary32) (.f32 #s(literal 1/25 binary32) (.f32 x (.f32 x (.f32 x x))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal -1/5 binary32) (*.f32 x x)))))
(.f32 x (.f32 x #s(literal 1/7 binary32)))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(.f32 #s(literal 1/7 binary32) (.f32 x x))
(.f32 (.f32 x #s(literal 1/7 binary32)) x)
(+.f32 (.f32 x #s(literal 1/5 binary32)) (.f32 x (.f32 (.f32 x x) #s(literal 1/7 binary32))))
(+.f32 (.f32 x (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 x #s(literal 1/5 binary32)))
(fma.f32 x #s(literal 1/5 binary32) (.f32 x (.f32 (*.f32 x x) #s(literal 1/7 binary32))))
(fma.f32 x (.f32 (.f32 x x) #s(literal 1/7 binary32)) (*.f32 x #s(literal 1/5 binary32)))
(fma.f32 (.f32 x x) (.f32 x #s(literal 1/7 binary32)) (*.f32 x #s(literal 1/5 binary32)))
(fma.f32 #s(literal 1/5 binary32) x (.f32 x (.f32 (*.f32 x x) #s(literal 1/7 binary32))))
(fma.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x x)) (*.f32 x #s(literal 1/5 binary32)))
(fma.f32 (.f32 (.f32 x x) #s(literal 1/7 binary32)) x (*.f32 x #s(literal 1/5 binary32)))
(fma.f32 (.f32 x (.f32 x x)) #s(literal 1/7 binary32) (*.f32 x #s(literal 1/5 binary32)))
(fma.f32 (.f32 x #s(literal 1/7 binary32)) (.f32 x x) (*.f32 x #s(literal 1/5 binary32)))
(/.f32 (+.f32 (.f32 (.f32 x (.f32 x x)) #s(literal 1/125 binary32)) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32))))) (+.f32 (.f32 (.f32 x #s(literal 1/5 binary32)) (.f32 x #s(literal 1/5 binary32))) (-.f32 (.f32 (.f32 x (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 x (.f32 (.f32 x x) #s(literal 1/7 binary32)))) (.f32 (.f32 x #s(literal 1/5 binary32)) (.f32 x (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))
(/.f32 (-.f32 (.f32 (.f32 x #s(literal 1/5 binary32)) (.f32 x #s(literal 1/5 binary32))) (.f32 (.f32 x (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 x (.f32 (.f32 x x) #s(literal 1/7 binary32))))) (-.f32 (.f32 x #s(literal 1/5 binary32)) (.f32 x (.f32 (.f32 x x) #s(literal 1/7 binary32)))))
(/.f32 (.f32 x (+.f32 #s(literal 1/125 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32))))) (+.f32 #s(literal 1/25 binary32) (.f32 (.f32 (.f32 x x) #s(literal 1/7 binary32)) (-.f32 (.f32 (.f32 x x) #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))))
(/.f32 (.f32 x (-.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 1/49 binary32)))) (-.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))
(/.f32 (.f32 (+.f32 #s(literal 1/125 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)))) x) (+.f32 #s(literal 1/25 binary32) (.f32 (.f32 (.f32 x x) #s(literal 1/7 binary32)) (-.f32 (.f32 (.f32 x x) #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))))
(/.f32 (.f32 (-.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 1/49 binary32))) x) (-.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))
(/.f32 (neg.f32 (+.f32 (.f32 (.f32 x (.f32 x x)) #s(literal 1/125 binary32)) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)))))) (neg.f32 (+.f32 (.f32 (.f32 x #s(literal 1/5 binary32)) (.f32 x #s(literal 1/5 binary32))) (-.f32 (.f32 (.f32 x (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 x (.f32 (.f32 x x) #s(literal 1/7 binary32)))) (.f32 (.f32 x #s(literal 1/5 binary32)) (.f32 x (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))
(/.f32 (neg.f32 (-.f32 (.f32 (.f32 x #s(literal 1/5 binary32)) (.f32 x #s(literal 1/5 binary32))) (.f32 (.f32 x (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 x (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (neg.f32 (-.f32 (.f32 x #s(literal 1/5 binary32)) (.f32 x (.f32 (.f32 x x) #s(literal 1/7 binary32))))))
(/.f32 (neg.f32 (.f32 x (+.f32 #s(literal 1/125 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)))))) (neg.f32 (+.f32 #s(literal 1/25 binary32) (.f32 (.f32 (.f32 x x) #s(literal 1/7 binary32)) (-.f32 (.f32 (.f32 x x) #s(literal 1/7 binary32)) #s(literal 1/5 binary32))))))
(/.f32 (neg.f32 (.f32 x (-.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 1/49 binary32))))) (neg.f32 (-.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))
(/.f32 (neg.f32 (.f32 (+.f32 #s(literal 1/125 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)))) x)) (neg.f32 (+.f32 #s(literal 1/25 binary32) (.f32 (.f32 (.f32 x x) #s(literal 1/7 binary32)) (-.f32 (.f32 (.f32 x x) #s(literal 1/7 binary32)) #s(literal 1/5 binary32))))))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 1/49 binary32))) x)) (neg.f32 (-.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))
(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))
(.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))) x)
(+.f32 (.f32 x (.f32 x #s(literal 1/5 binary32))) (.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/7 binary32)))))
(+.f32 (.f32 x (.f32 x #s(literal 1/5 binary32))) (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/7 binary32))))
(+.f32 (.f32 x (.f32 x #s(literal 1/5 binary32))) (.f32 (.f32 x (.f32 (.f32 x x) #s(literal 1/7 binary32))) x))
(+.f32 (.f32 x (.f32 x #s(literal 1/5 binary32))) (.f32 (.f32 (.f32 x x) #s(literal 1/7 binary32)) (.f32 x x)))
(+.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 x (.f32 x #s(literal 1/5 binary32))))
(+.f32 (.f32 (.f32 (.f32 x x) #s(literal 1/7 binary32)) (.f32 x x)) (.f32 x (.f32 x #s(literal 1/5 binary32))))
(fma.f32 x (.f32 x #s(literal 1/5 binary32)) (.f32 x (.f32 x (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))
(fma.f32 x (.f32 x #s(literal 1/5 binary32)) (.f32 (.f32 x x) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))
(fma.f32 x (.f32 x #s(literal 1/5 binary32)) (.f32 (.f32 x (.f32 (*.f32 x x) #s(literal 1/7 binary32))) x))
(fma.f32 x (.f32 x #s(literal 1/5 binary32)) (.f32 (.f32 (.f32 x x) #s(literal 1/7 binary32)) (*.f32 x x)))
(fma.f32 (.f32 x x) #s(literal 1/5 binary32) (.f32 x (.f32 x (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))
(fma.f32 (.f32 x x) #s(literal 1/5 binary32) (.f32 (.f32 x x) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))
(fma.f32 (.f32 x x) #s(literal 1/5 binary32) (.f32 (.f32 x (.f32 (*.f32 x x) #s(literal 1/7 binary32))) x))
(fma.f32 (.f32 x x) #s(literal 1/5 binary32) (.f32 (.f32 (.f32 x x) #s(literal 1/7 binary32)) (*.f32 x x)))
(fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/7 binary32)) (.f32 x (*.f32 x #s(literal 1/5 binary32))))
(fma.f32 #s(literal 1/5 binary32) (.f32 x x) (.f32 x (.f32 x (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))
(fma.f32 #s(literal 1/5 binary32) (.f32 x x) (.f32 (.f32 x x) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))
(fma.f32 #s(literal 1/5 binary32) (.f32 x x) (.f32 (.f32 x (.f32 (*.f32 x x) #s(literal 1/7 binary32))) x))
(fma.f32 #s(literal 1/5 binary32) (.f32 x x) (.f32 (.f32 (.f32 x x) #s(literal 1/7 binary32)) (*.f32 x x)))
(fma.f32 (.f32 (.f32 x x) #s(literal 1/7 binary32)) (.f32 x x) (.f32 x (*.f32 x #s(literal 1/5 binary32))))
(fma.f32 (.f32 x #s(literal 1/5 binary32)) x (.f32 x (.f32 x (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))
(fma.f32 (.f32 x #s(literal 1/5 binary32)) x (.f32 (.f32 x x) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))
(fma.f32 (.f32 x #s(literal 1/5 binary32)) x (.f32 (.f32 x (.f32 (*.f32 x x) #s(literal 1/7 binary32))) x))
(fma.f32 (.f32 x #s(literal 1/5 binary32)) x (.f32 (.f32 (.f32 x x) #s(literal 1/7 binary32)) (*.f32 x x)))
(/.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/125 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32))))) (+.f32 #s(literal 1/25 binary32) (.f32 (.f32 (.f32 x x) #s(literal 1/7 binary32)) (-.f32 (.f32 (*.f32 x x) #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))))
(/.f32 (.f32 (.f32 x x) (-.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 1/49 binary32)))) (-.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))
(/.f32 (neg.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/125 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)))))) (neg.f32 (+.f32 #s(literal 1/25 binary32) (.f32 (.f32 (.f32 x x) #s(literal 1/7 binary32)) (-.f32 (.f32 (*.f32 x x) #s(literal 1/7 binary32)) #s(literal 1/5 binary32))))))
(/.f32 (neg.f32 (.f32 (.f32 x x) (-.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 1/49 binary32))))) (neg.f32 (-.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))
(.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))
(.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 x x))
(.f32 (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))) x)

simplify290.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

2982×	`-lowering-.f32`
2982×	`-lowering-.f64`
2026×	`+-lowering-+.f64`
2026×	`+-lowering-+.f32`
1806×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	175	2045
1	591	1663
2	1762	1641
3	5829	1612
0	8509	1612

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))))))))
(* 1/2 (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)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* 2 x)))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
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))
(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 (* (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))))))))
(* 1/7 (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))))))
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* 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)))))
(* 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 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)))))
(* 1/5 (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))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32)))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(+.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x x)))))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(+.f32 (.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x x))) (/.f32 #s(literal 1/5 binary32) (pow.f32 x #s(literal 5 binary32))))))
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(+.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x x)))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(+.f32 (.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (*.f32 x x))) x))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2/3 (pow x 2))))
(.f32 x (+.f32 #s(literal 2 binary32) (.f32 (*.f32 x x) #s(literal 2/3 binary32))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(.f32 x (+.f32 #s(literal 2 binary32) (.f32 x (.f32 x (+.f32 #s(literal 2/3 binary32) (.f32 (*.f32 x x) #s(literal 2/5 binary32)))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(.f32 x (+.f32 #s(literal 2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 2/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 2/5 binary32) (.f32 (*.f32 x x) #s(literal 2/7 binary32)))))))))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (.f32 x (.f32 x x)))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(+.f32 (/.f32 #s(literal 2 binary32) x) (+.f32 (/.f32 #s(literal 2/3 binary32) (.f32 x (.f32 x x))) (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 5 binary32))))))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (.f32 x (.f32 x x)))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -2/3 binary32) (/.f32 #s(literal -2/5 binary32) (.f32 x x))) (.f32 x x)) #s(literal -2 binary32)) x))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2 x)))
(.f32 #s(literal 2 binary32) (.f32 x (+.f32 x #s(literal 1 binary32))))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (*.f32 x (+.f32 x #s(literal 1 binary32))))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(.f32 x (.f32 (+.f32 (.f32 x x) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (.f32 x #s(literal 2 binary32)))))
-2
#s(literal -2 binary32)
(* -1 (+ 2 (* 2 (/ 1 x))))
(+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(+.f32 (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x)) x) #s(literal -2 binary32))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) (+.f32 (/.f32 #s(literal -1 binary32) (.f32 x x)) #s(literal -1 binary32)))
-2
#s(literal -2 binary32)
(* -1 (+ 2 (* 2 (/ 1 x))))
(+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(+.f32 (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x)) x) #s(literal -2 binary32))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(+.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x)) x) #s(literal -2 binary32)) x) #s(literal -2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2 x)))
(.f32 #s(literal 2 binary32) (.f32 x (+.f32 x #s(literal 1 binary32))))
(* x (+ 2 (* 2 x)))
(.f32 #s(literal 2 binary32) (.f32 x (+.f32 x #s(literal 1 binary32))))
(* x (+ 2 (* 2 x)))
(.f32 #s(literal 2 binary32) (.f32 x (+.f32 x #s(literal 1 binary32))))
(* 2 (pow x 2))
(.f32 #s(literal 2 binary32) (.f32 x x))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(.f32 #s(literal 2 binary32) (.f32 x (+.f32 x #s(literal 1 binary32))))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(.f32 #s(literal 2 binary32) (.f32 x (+.f32 x #s(literal 1 binary32))))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(.f32 #s(literal 2 binary32) (.f32 x (+.f32 x #s(literal 1 binary32))))
(* 2 (pow x 2))
(.f32 #s(literal 2 binary32) (.f32 x x))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(.f32 #s(literal 2 binary32) (.f32 x (+.f32 x #s(literal 1 binary32))))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(.f32 #s(literal 2 binary32) (.f32 x (+.f32 x #s(literal 1 binary32))))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(.f32 #s(literal 2 binary32) (.f32 x (+.f32 x #s(literal 1 binary32))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(* 1/3 (pow x 3))
(.f32 x (.f32 #s(literal 1/3 binary32) (*.f32 x x)))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(* 1/3 (pow x 3))
(.f32 x (.f32 #s(literal 1/3 binary32) (*.f32 x x)))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
1
#s(literal 1 binary32)
(+ 1 (* 1/3 (pow x 2)))
(+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (.f32 x x)))
(+ 1 (* 1/3 (pow x 2)))
(+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (.f32 x x)))
(+ 1 (* 1/3 (pow x 2)))
(+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (.f32 x x)))
(* 1/3 (pow x 2))
(.f32 #s(literal 1/3 binary32) (.f32 x x))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (.f32 x x)))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (.f32 x x)))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (.f32 x x)))
(* 1/3 (pow x 2))
(.f32 #s(literal 1/3 binary32) (.f32 x x))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (.f32 x x)))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (.f32 x x)))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (.f32 x x)))
(* 1/3 (pow x 2))
(.f32 #s(literal 1/3 binary32) (.f32 x x))
(* 1/3 (pow x 2))
(.f32 #s(literal 1/3 binary32) (.f32 x x))
(* 1/3 (pow x 2))
(.f32 #s(literal 1/3 binary32) (.f32 x x))
(* 1/3 (pow x 2))
(.f32 #s(literal 1/3 binary32) (.f32 x x))
(* 1/3 (pow x 2))
(.f32 #s(literal 1/3 binary32) (.f32 x x))
(* 1/3 (pow x 2))
(.f32 #s(literal 1/3 binary32) (.f32 x x))
(* 1/3 (pow x 2))
(.f32 #s(literal 1/3 binary32) (.f32 x x))
(* 1/3 (pow x 2))
(.f32 #s(literal 1/3 binary32) (.f32 x x))
(* 1/3 (pow x 2))
(.f32 #s(literal 1/3 binary32) (.f32 x x))
(* 1/3 (pow x 2))
(.f32 #s(literal 1/3 binary32) (.f32 x x))
(* 1/3 (pow x 2))
(.f32 #s(literal 1/3 binary32) (.f32 x x))
(* 1/3 (pow x 2))
(.f32 #s(literal 1/3 binary32) (.f32 x x))
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32)))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32)))))))
(* 1/5 (pow x 5))
(*.f32 #s(literal 1/5 binary32) (pow.f32 x #s(literal 5 binary32)))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 5 binary32)) (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f32 (pow.f32 x #s(literal 5 binary32)) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 x x)) (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x (*.f32 x x)) x)))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f32 (pow.f32 x #s(literal 5 binary32)) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 x x)) (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x (*.f32 x x)) x)))))
(* 1/5 (pow x 5))
(*.f32 #s(literal 1/5 binary32) (pow.f32 x #s(literal 5 binary32)))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 5 binary32)) (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(.f32 (pow.f32 x #s(literal 5 binary32)) (+.f32 #s(literal 1/5 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (*.f32 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(.f32 (pow.f32 x #s(literal 5 binary32)) (+.f32 #s(literal 1/5 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (*.f32 x x))))
1
#s(literal 1 binary32)
(+ 1 (* 1/3 (pow x 2)))
(+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (.f32 x x)))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32))))))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32))))))
(* 1/5 (pow x 4))
(.f32 #s(literal 1/5 binary32) (.f32 (.f32 x (.f32 x x)) x))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32))))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32))))))
(* 1/5 (pow x 4))
(.f32 #s(literal 1/5 binary32) (.f32 (.f32 x (.f32 x x)) x))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32))))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32))))))
(* 1/3 (pow x 2))
(.f32 #s(literal 1/3 binary32) (.f32 x x))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))))
(* 1/5 (pow x 4))
(.f32 #s(literal 1/5 binary32) (.f32 (.f32 x (.f32 x x)) x))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))))
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(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
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(* 1/5 (pow x 4))
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(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
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(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32)))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
(* 1/7 (pow x 7))
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 7 binary32)))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
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(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
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(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
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(* 1/7 (pow x 7))
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(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (*.f32 x x))))
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1
#s(literal 1 binary32)
(+ 1 (* 1/3 (pow x 2)))
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(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32))))))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
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(* 1/7 (pow x 6))
(.f32 #s(literal 1/7 binary32) (.f32 (.f32 x x) (.f32 (.f32 x (.f32 x x)) x)))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 (.f32 x (*.f32 x x)) x)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (+.f32 #s(literal 1/7 binary32) (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 x (.f32 x x)) x)))) (.f32 (.f32 x x) (.f32 (.f32 x (.f32 x x)) x)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f32 (.f32 (+.f32 #s(literal 1/7 binary32) (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 x (.f32 x x)) x)))) (.f32 (.f32 x x) (.f32 (.f32 x (.f32 x x)) x))) #s(literal 1 binary32))
(* 1/7 (pow x 6))
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(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
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(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
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(* 1/3 (pow x 2))
(.f32 #s(literal 1/3 binary32) (.f32 x x))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
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(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))
(* 1/7 (pow x 6))
(.f32 #s(literal 1/7 binary32) (.f32 (.f32 x x) (.f32 (.f32 x (.f32 x x)) x)))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 (.f32 x (*.f32 x x)) x)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (+.f32 #s(literal 1/7 binary32) (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 x (.f32 x x)) x)))) (.f32 (.f32 x x) (.f32 (.f32 x (.f32 x x)) x)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (+.f32 #s(literal 1/7 binary32) (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 x (.f32 x x)) x)))) (.f32 (.f32 x x) (.f32 (.f32 x (.f32 x x)) x)))
(* 1/7 (pow x 6))
(.f32 #s(literal 1/7 binary32) (.f32 (.f32 x x) (.f32 (.f32 x (.f32 x x)) x)))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 (.f32 x (*.f32 x x)) x)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (+.f32 #s(literal 1/7 binary32) (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 x (.f32 x x)) x)))) (.f32 (.f32 x x) (.f32 (.f32 x (.f32 x x)) x)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (+.f32 #s(literal 1/7 binary32) (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 x (.f32 x x)) x)))) (.f32 (.f32 x x) (.f32 (.f32 x (.f32 x x)) x)))
x
(* x (+ 1 x))
(*.f32 x (+.f32 x #s(literal 1 binary32)))
(* x (+ 1 x))
(*.f32 x (+.f32 x #s(literal 1 binary32)))
(* x (+ 1 x))
(*.f32 x (+.f32 x #s(literal 1 binary32)))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f32 x (+.f32 x #s(literal 1 binary32)))
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f32 x (+.f32 x #s(literal 1 binary32)))
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f32 x (+.f32 x #s(literal 1 binary32)))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f32 x (+.f32 x #s(literal 1 binary32)))
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f32 x (+.f32 x #s(literal 1 binary32)))
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f32 x (+.f32 x #s(literal 1 binary32)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (pow x 2)))
(-.f32 #s(literal 1 binary32) (*.f32 x x))
(+ 1 (* -1 (pow x 2)))
(-.f32 #s(literal 1 binary32) (*.f32 x x))
(+ 1 (* -1 (pow x 2)))
(-.f32 #s(literal 1 binary32) (*.f32 x x))
(* -1 (pow x 2))
(-.f32 #s(literal 0 binary32) (*.f32 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f32 #s(literal 1 binary32) (*.f32 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f32 #s(literal 1 binary32) (*.f32 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f32 #s(literal 1 binary32) (*.f32 x x))
(* -1 (pow x 2))
(-.f32 #s(literal 0 binary32) (*.f32 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f32 #s(literal 1 binary32) (*.f32 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f32 #s(literal 1 binary32) (*.f32 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f32 #s(literal 1 binary32) (*.f32 x x))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
1/3
#s(literal 1/3 binary32)
(+ 1/3 (* 1/5 (pow x 2)))
(+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))
(+ 1/3 (* 1/5 (pow x 2)))
(+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))
(+ 1/3 (* 1/5 (pow x 2)))
(+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))
(* 1/7 (pow x 3))
(.f32 x (.f32 (*.f32 x x) #s(literal 1/7 binary32)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))
(* 1/7 (pow x 3))
(.f32 x (.f32 (*.f32 x x) #s(literal 1/7 binary32)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))
(* 1/7 (pow x 4))
(.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/7 binary32))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))
(* 1/7 (pow x 4))
(.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/7 binary32))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))

eval137.0ms (1.5%)

Compiler: Compiled 21890 to 2355 computations (89.2% saved)

prune119.0ms (1.3%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	858	9	867
Fresh	1	1	2
Picked	2	3	5
Done	0	1	1
Total	861	14	875

Accuracy

100.0%

Counts

875 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.6%	(/.f32 (-.f32 (.f32 x x) (.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (-.f32 x (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
	99.4%	(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) x) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))
▶	98.5%	(+.f32 (.f32 (.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x)
	99.4%	(+.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) x)
	99.1%	(+.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x #s(literal 1/5 binary32)))))) x)
	99.3%	(.f32 x (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) (/.f32 (.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))))
▶	99.0%	(.f32 x (+.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (.f32 (.f32 x x) (.f32 x (*.f32 x #s(literal 1/5 binary32))))))
▶	99.3%	(.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (+.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))) #s(literal 1 binary32))))
✓	99.0%	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
▶	99.3%	(.f32 x (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))))
▶	99.4%	(.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32))))))
✓	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (.f32 x x)))))
✓	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
✓	96.6%	x

Compiler

Compiled 822 to 310 computations (62.3% saved)

simplify206.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))
✓	cost-diff	0	(-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))
✓	cost-diff	64	(.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))))
✓	cost-diff	64	(.f32 x (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))))
✓	cost-diff	0	(*.f32 x #s(literal 1/3 binary32))
✓	cost-diff	0	(.f32 x (.f32 x #s(literal 1/3 binary32)))
✓	cost-diff	128	(+.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (+.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))) #s(literal 1 binary32)))
✓	cost-diff	128	(.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (+.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))) #s(literal 1 binary32))))
✓	cost-diff	0	(.f32 x (.f32 x #s(literal 1/3 binary32)))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32))))
✓	cost-diff	128	(+.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (.f32 (.f32 x x) (.f32 x (.f32 x #s(literal 1/5 binary32)))))
✓	cost-diff	128	(.f32 x (+.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (.f32 (.f32 x x) (.f32 x (*.f32 x #s(literal 1/5 binary32))))))
✓	cost-diff	0	(*.f32 x #s(literal 1/3 binary32))
✓	cost-diff	0	(*.f32 x x)
✓	cost-diff	0	(.f32 (.f32 x x) (*.f32 x #s(literal 1/3 binary32)))
✓	cost-diff	0	(+.f32 (.f32 (.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x)
✓	cost-diff	0	(/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))
✓	cost-diff	0	(log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32)))))
✓	cost-diff	0	(-.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32)))))
✓	cost-diff	0	(.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32))))))

Rules

3204×	`-lowering-.f32`
3204×	`-lowering-.f64`
2272×	`sum4-define`
1726×	`sum3-define`
1316×	`+-lowering-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	48	475
1	172	430
2	594	422
3	2561	421
4	6953	411
0	8287	411

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(* 1/2 (- (log (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1))))) (log (+ 1 (/ (* 2 x) (+ x -1))))))
(.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (/.f32 (.f32 x (.f32 x #s(literal 4 binary32))) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (log1p.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32))))))
1/2
#s(literal 1/2 binary32)
(- (log (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1))))) (log (+ 1 (/ (* 2 x) (+ x -1)))))
(-.f32 (log1p.f32 (/.f32 (.f32 x (.f32 x #s(literal 4 binary32))) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (log1p.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))))
(log (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1)))))
(log1p.f32 (/.f32 (.f32 x (.f32 x #s(literal 4 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32)))))
(/ (* (* x x) 4) (* (- 1 x) (+ x -1)))
(/.f32 (.f32 x (.f32 x #s(literal 4 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))
(* (* x x) 4)
(.f32 x (.f32 x #s(literal 4 binary32)))
(* x x)
(*.f32 x x)
x
4
#s(literal 4 binary32)
(* (- 1 x) (+ x -1))
(*.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32)))
(- 1 x)
(-.f32 #s(literal 1 binary32) x)
1
#s(literal 1 binary32)
(+ x -1)
(+.f32 x #s(literal -1 binary32))
-1
#s(literal -1 binary32)
(log (+ 1 (/ (* 2 x) (+ x -1))))
(log1p.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32))))
(/ (* 2 x) (+ x -1))
(/.f32 (*.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
2
#s(literal 2 binary32)
(+ (* (* x x) (* x 1/3)) x)
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (*.f32 x x) #s(literal 1/3 binary32))))
(* (* x x) (* x 1/3))
(.f32 x (.f32 (*.f32 x x) #s(literal 1/3 binary32)))
(* x x)
(*.f32 x x)
x
(* x 1/3)
(*.f32 x #s(literal 1/3 binary32))
1/3
#s(literal 1/3 binary32)
(* x (+ (+ 1 (* x (* x 1/3))) (* (* x x) (* x (* x 1/5)))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x #s(literal 1/5 binary32)))))))
x
(+ (+ 1 (* x (* x 1/3))) (* (* x x) (* x (* x 1/5))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x #s(literal 1/5 binary32))))))
(+ 1 (* x (* x 1/3)))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal 1/3 binary32)))
1
#s(literal 1 binary32)
(* x (* x 1/3))
(.f32 (.f32 x x) #s(literal 1/3 binary32))
(* x 1/3)
(*.f32 x #s(literal 1/3 binary32))
1/3
#s(literal 1/3 binary32)
(* (* x x) (* x (* x 1/5)))
(.f32 (.f32 x x) (.f32 x (.f32 x #s(literal 1/5 binary32))))
(* x x)
(*.f32 x x)
(* x (* x 1/5))
(.f32 x (.f32 x #s(literal 1/5 binary32)))
(* x 1/5)
(*.f32 x #s(literal 1/5 binary32))
1/5
#s(literal 1/5 binary32)
(* x (+ (* x (* x 1/3)) (+ (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))) 1)))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))
x
(+ (* x (* x 1/3)) (+ (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))) 1))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))
(* x (* x 1/3))
(.f32 (.f32 x x) #s(literal 1/3 binary32))
(* x 1/3)
(*.f32 x #s(literal 1/3 binary32))
1/3
#s(literal 1/3 binary32)
(+ (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))) 1)
(+.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 x (.f32 x (.f32 x x)))))
(* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7))))
(.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 x (.f32 x (.f32 x x))))
(* x x)
(*.f32 x x)
(* (* x x) (+ 1/5 (* (* x x) 1/7)))
(.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))
(+ 1/5 (* (* x x) 1/7))
(+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))
1/5
#s(literal 1/5 binary32)
(* (* x x) 1/7)
(.f32 (.f32 x x) #s(literal 1/7 binary32))
1/7
#s(literal 1/7 binary32)
1
#s(literal 1 binary32)
(* x (* (- 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 (- 1 (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (-.f32 #s(literal -1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))) (.f32 x (.f32 x x))))) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))))
x
(* (- 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 (- 1 (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (-.f32 #s(literal -1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))) (.f32 x (.f32 x x))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))
(- 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)))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x (-.f32 #s(literal -1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))) (.f32 x (*.f32 x x)))))
1
#s(literal 1 binary32)
(* (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))) (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))))
(.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))
(* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))
(* x x)
(*.f32 x x)
(+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))
(+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))
1/3
#s(literal 1/3 binary32)
(* (* x x) (+ 1/5 (* (* x x) 1/7)))
(.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))
(+ 1/5 (* (* x x) 1/7))
(+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))
1/5
#s(literal 1/5 binary32)
(* (* x x) 1/7)
(.f32 (.f32 x x) #s(literal 1/7 binary32))
1/7
#s(literal 1/7 binary32)
(/ 1 (- 1 (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))
(- 1 (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))))
(-.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))

localize764.0ms (8.5%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))
✓	accuracy	99.6%	(.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))
✓	accuracy	99.4%	(.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))
✓	accuracy	99.2%	(.f32 (.f32 x x) #s(literal 1/7 binary32))
✓	accuracy	99.6%	(.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))
✓	accuracy	99.6%	(.f32 x (.f32 x #s(literal 1/3 binary32)))
✓	accuracy	99.2%	(.f32 (.f32 x x) #s(literal 1/7 binary32))
✓	accuracy	99.2%	(*.f32 x #s(literal 1/3 binary32))
✓	accuracy	99.7%	(.f32 x (.f32 x #s(literal 1/5 binary32)))
✓	accuracy	99.6%	(.f32 x (.f32 x #s(literal 1/3 binary32)))
✓	accuracy	99.5%	(*.f32 x #s(literal 1/5 binary32))
✓	accuracy	99.2%	(*.f32 x #s(literal 1/3 binary32))
✓	accuracy	100.0%	(+.f32 (.f32 (.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x)
✓	accuracy	100.0%	(*.f32 x x)
✓	accuracy	99.7%	(.f32 (.f32 x x) (*.f32 x #s(literal 1/3 binary32)))
✓	accuracy	99.2%	(*.f32 x #s(literal 1/3 binary32))
✓	accuracy	99.8%	(log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32)))))
✓	accuracy	99.8%	(/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))
✓	accuracy	99.8%	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32))))
✓	accuracy	99.7%	(*.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32)))

Results

367.0ms	158×	1	valid
187.0ms	43×	5	exit
61.0ms	54×	0	valid
1.0ms	1×	0	invalid

Compiler

Compiled 633 to 47 computations (92.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 322.0ms

backward-pass: 91.0ms (28.3% of total)

ival-mult: 67.0ms (20.8% of total)

ival-sub: 43.0ms (13.4% of total)

compiled-spec: 41.0ms (12.7% of total)

...c/correct-round.rkt:119:19: 22.0ms (6.8% of total)

ival-add: 22.0ms (6.8% of total)

ival-log: 22.0ms (6.8% of total)

ival-div: 11.0ms (3.4% of total)

const: 2.0ms (0.6% of total)

series19.0ms (0.2%)

Counts

25 → 300

Calls

Call 1

Inputs
#<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 x) (* x 1/3)) x)>
#<alt (* (* x x) (* x 1/3))>
#<alt (* x x)>
#<alt (* x 1/3)>
#<alt (* x (+ (+ 1 (* x (* x 1/3))) (* (* x x) (* x (* x 1/5)))))>
#<alt (+ (+ 1 (* x (* x 1/3))) (* (* x x) (* x (* x 1/5))))>
#<alt (+ 1 (* x (* x 1/3)))>
#<alt (* x (* x 1/3))>
#<alt (* x (+ (* x (* x 1/3)) (+ (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))) 1)))>
#<alt (+ (* x (* x 1/3)) (+ (* (* x x) (* (* x x) (+ 1/5 (* (* x x) 1/7)))) 1))>
#<alt (* x (* (- 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 (- 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))))) (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))))) (/ 1 (- 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))))) (* (* 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))))) (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))))>
#<alt (* (- 1 x) (+ x -1))>
#<alt (log (+ 1 (/ (* 2 x) (+ x -1))))>
#<alt (* x 1/5)>
#<alt (* x (* x 1/5))>
#<alt (* (* x x) 1/7)>
#<alt (* (* x x) (+ 1/5 (* (* x x) 1/7)))>
#<alt (* (* x x) (+ 1/3 (* (* 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 (* 1/2 (- (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 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 (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt x>
#<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>
#<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 (* (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 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>
#<alt (+ 1 (* -1/9 (pow x 4)))>
#<alt (+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9)))>
#<alt (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -71/525 (pow x 2)) 2/15)) 1/9)))>
#<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 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 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 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* 1/9 (pow x 4))>
#<alt (* (pow x 4) (+ 1/9 (* 2/15 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/9 (* (pow x 2) (+ 2/15 (* 71/525 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/9 (* (pow x 2) (+ 2/15 (* (pow x 2) (+ 71/525 (* 2/35 (pow x 2))))))))>
#<alt (* 1/49 (pow x 12))>
#<alt (* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))>
#<alt (* 1/49 (pow x 12))>
#<alt (* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))>
#<alt -1>
#<alt (- (* 2 x) 1)>
#<alt (- (* x (+ 2 (* -1 x))) 1)>
#<alt (- (* x (+ 2 (* -1 x))) 1)>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 1))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) (+ 1 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) (+ 1 (/ 1 (pow x 2)))))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 x) 2) x)) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 x) 2) x)) 1))>
#<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 (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<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 (* 1/7 (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 (* 1/3 (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))))))>

Calls

75 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	(log (+ 1 (/ (* (* x x) 4) (* (- 1 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	@	-inf	(* 1/2 (- (log (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1))))) (log (+ 1 (/ (* 2 x) (+ x -1))))))
0.0ms	x	@	inf	(* x (* (- 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 (- 1 (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))))))

rewrite380.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3828×	`-lowering-.f32`
3828×	`-lowering-.f64`
2302×	`pow-lowering-pow.f64`
2302×	`pow-lowering-pow.f32`
1904×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	276
1	350	250
2	3566	238
0	8656	238

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 521

Calls

Call 1

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

Outputs
(+.f32 (.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 4 binary32) (+.f32 x #s(literal -1 binary32)))))) (.f32 #s(literal 1/2 binary32) (neg.f32 (log1p.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))))))
(+.f32 (.f32 (log1p.f32 (.f32 (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 4 binary32) (+.f32 x #s(literal -1 binary32))))) #s(literal 1/2 binary32)) (.f32 (neg.f32 (log1p.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32))))) #s(literal 1/2 binary32)))
(/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (pow.f32 (log1p.f32 (.f32 (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 4 binary32) (+.f32 x #s(literal -1 binary32))))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))) #s(literal 3 binary32)))) (+.f32 (pow.f32 (log1p.f32 (.f32 (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 4 binary32) (+.f32 x #s(literal -1 binary32))))) #s(literal 2 binary32)) (.f32 (log1p.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 4 binary32) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))))))))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 4 binary32) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))))) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 4 binary32) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))))))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 4 binary32) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))))))
(/.f32 (.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 4 binary32) (+.f32 x #s(literal -1 binary32))))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))) #s(literal 3 binary32))) #s(literal 1/2 binary32)) (+.f32 (pow.f32 (log1p.f32 (.f32 (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 4 binary32) (+.f32 x #s(literal -1 binary32))))) #s(literal 2 binary32)) (.f32 (log1p.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 4 binary32) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))))))))
(/.f32 (.f32 (.f32 (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 4 binary32) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))))) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 4 binary32) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32))))))) #s(literal 1/2 binary32)) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 4 binary32) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))))))
(.f32 #s(literal 1/2 binary32) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 4 binary32) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))))))
(.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 4 binary32) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))))) #s(literal 1/2 binary32))
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 4 binary32) (+.f32 x #s(literal -1 binary32))))))))
(+.f32 (log1p.f32 (.f32 (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 4 binary32) (+.f32 x #s(literal -1 binary32))))) (neg.f32 (log1p.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32))))))
(+.f32 (neg.f32 (log1p.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32))))) (log1p.f32 (.f32 (*.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 4 binary32) (+.f32 x #s(literal -1 binary32))))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 4 binary32) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -8 binary32)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x)) (-.f32 #s(literal 1 binary32) x)))))) (log1p.f32 (.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32))) (-.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32))) #s(literal 1 binary32)))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 4 binary32) (+.f32 x #s(literal -1 binary32))))) (-.f32 #s(literal 1 binary32) (.f32 #s(literal 4 binary32) (.f32 (/.f32 x (+.f32 x #s(literal -1 binary32))) (/.f32 x (+.f32 x #s(literal -1 binary32)))))))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 x #s(literal -1 binary32))))))
(pow.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (.f32 (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 4 binary32) (+.f32 x #s(literal -1 binary32))))) #s(literal 2 binary32)) (.f32 (log1p.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 4 binary32) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))))))) (-.f32 (pow.f32 (log1p.f32 (.f32 (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 4 binary32) (+.f32 x #s(literal -1 binary32))))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 4 binary32) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))))) (.f32 (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 4 binary32) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))))) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 4 binary32) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))))))) #s(literal -1 binary32))
(-.f32 (log1p.f32 (.f32 (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 4 binary32) (+.f32 x #s(literal -1 binary32))))) (log1p.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 4 binary32) (+.f32 x #s(literal -1 binary32))))))))
(-.f32 (log1p.f32 (/.f32 (.f32 (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))) #s(literal 64 binary32)) (.f32 (.f32 (.f32 (+.f32 x #s(literal -1 binary32)) (+.f32 x #s(literal -1 binary32))) (+.f32 x #s(literal -1 binary32))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x)) (-.f32 #s(literal 1 binary32) x))))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 4 binary32) (+.f32 x #s(literal -1 binary32)))) (-.f32 (.f32 (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 4 binary32) (+.f32 x #s(literal -1 binary32)))) #s(literal 1 binary32)))))))
(-.f32 (log1p.f32 (neg.f32 (.f32 (.f32 (.f32 (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 4 binary32) (+.f32 x #s(literal -1 binary32)))) (.f32 x x)) (/.f32 (/.f32 #s(literal 4 binary32) (+.f32 x #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) x))))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) (.f32 (*.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 4 binary32) (+.f32 x #s(literal -1 binary32))))))))
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(log1p.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32))))
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32))) (-.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32))) #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -8 binary32)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x)) (-.f32 #s(literal 1 binary32) x)))))))
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) (/.f32 x (+.f32 x #s(literal -1 binary32))))) (-.f32 #s(literal 1 binary32) (.f32 #s(literal 4 binary32) (*.f32 (/.f32 x (+.f32 x #s(literal -1 binary32))) (/.f32 x (+.f32 x #s(literal -1 binary32)))))))))
(+.f32 (log1p.f32 (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -8 binary32)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x)) (-.f32 #s(literal 1 binary32) x)))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32))) (-.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32))) #s(literal 1 binary32)))))))
(+.f32 (log1p.f32 (neg.f32 (.f32 #s(literal 4 binary32) (.f32 (/.f32 x (+.f32 x #s(literal -1 binary32))) (/.f32 x (+.f32 x #s(literal -1 binary32))))))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 x #s(literal -1 binary32))))))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32))) (-.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32))) #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -8 binary32)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x)) (-.f32 #s(literal 1 binary32) x)))))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) (/.f32 x (+.f32 x #s(literal -1 binary32))))) (-.f32 #s(literal 1 binary32) (.f32 #s(literal 4 binary32) (*.f32 (/.f32 x (+.f32 x #s(literal -1 binary32))) (/.f32 x (+.f32 x #s(literal -1 binary32)))))))))
(-.f32 (log1p.f32 (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -8 binary32)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x)) (-.f32 #s(literal 1 binary32) x)))) (log1p.f32 (.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32))) (-.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32))) #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -8 binary32)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x)) (-.f32 #s(literal 1 binary32) x)))) (log.f32 (+.f32 (.f32 #s(literal 4 binary32) (.f32 (/.f32 x (+.f32 x #s(literal -1 binary32))) (/.f32 x (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) (/.f32 x (+.f32 x #s(literal -1 binary32))))))))
(-.f32 (log1p.f32 (neg.f32 (.f32 #s(literal 4 binary32) (.f32 (/.f32 x (+.f32 x #s(literal -1 binary32))) (/.f32 x (+.f32 x #s(literal -1 binary32))))))) (log1p.f32 (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 x #s(literal -1 binary32))))))
(-.f32 (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -8 binary32)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x)) (-.f32 #s(literal 1 binary32) x)))))) (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32))) (-.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32))) #s(literal 1 binary32)))))))
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 4 binary32) (.f32 (/.f32 x (+.f32 x #s(literal -1 binary32))) (/.f32 x (+.f32 x #s(literal -1 binary32)))))))) (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 x #s(literal -1 binary32))))))))
(-.f32 (log.f32 (-.f32 (.f32 #s(literal 4 binary32) (.f32 (/.f32 x (+.f32 x #s(literal -1 binary32))) (/.f32 x (+.f32 x #s(literal -1 binary32))))) #s(literal 1 binary32))) (log.f32 (-.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32))) #s(literal 1 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))))
(*.f32 x #s(literal 1/5 binary32))
(*.f32 #s(literal 1/5 binary32) x)
(.f32 x (.f32 x #s(literal 1/5 binary32)))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(.f32 #s(literal 1/5 binary32) (.f32 x x))
(.f32 (.f32 x #s(literal 1/5 binary32)) x)
(.f32 x (.f32 x #s(literal 1/7 binary32)))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(.f32 #s(literal 1/7 binary32) (.f32 x x))
(.f32 (.f32 x #s(literal 1/7 binary32)) x)
(+.f32 (.f32 x (.f32 x #s(literal 1/5 binary32))) (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x (.f32 x x)))))
(+.f32 (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x (.f32 x x)))) (.f32 x (.f32 x #s(literal 1/5 binary32))))
(fma.f32 x (.f32 x #s(literal 1/5 binary32)) (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x (*.f32 x x)))))
(fma.f32 (.f32 x x) #s(literal 1/5 binary32) (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x (*.f32 x x)))))
(fma.f32 #s(literal 1/5 binary32) (.f32 x x) (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x (*.f32 x x)))))
(fma.f32 (.f32 x #s(literal 1/5 binary32)) x (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x (*.f32 x x)))))
(/.f32 (+.f32 (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/125 binary32))) (.f32 (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32))) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))))) (+.f32 (.f32 (.f32 x (.f32 x #s(literal 1/5 binary32))) (.f32 x (.f32 x #s(literal 1/5 binary32)))) (-.f32 (.f32 (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x (.f32 x x)))) (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x (.f32 x x))))) (.f32 (.f32 x (.f32 x #s(literal 1/5 binary32))) (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x (*.f32 x x))))))))
(/.f32 (-.f32 (.f32 (.f32 x (.f32 x #s(literal 1/5 binary32))) (.f32 x (.f32 x #s(literal 1/5 binary32)))) (.f32 (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x (.f32 x x)))) (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x (.f32 x x)))))) (-.f32 (.f32 x (.f32 x #s(literal 1/5 binary32))) (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x (.f32 x x))))))
(/.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/125 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32))))) (+.f32 #s(literal 1/25 binary32) (.f32 (.f32 (.f32 x x) #s(literal 1/7 binary32)) (-.f32 (.f32 (*.f32 x x) #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))))
(/.f32 (.f32 (.f32 x x) (-.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 1/49 binary32)))) (+.f32 #s(literal 1/5 binary32) (.f32 #s(literal -1/7 binary32) (.f32 x x))))
(/.f32 (.f32 (+.f32 #s(literal 1/125 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)))) (.f32 x x)) (+.f32 #s(literal 1/25 binary32) (.f32 (.f32 (.f32 x x) #s(literal 1/7 binary32)) (-.f32 (.f32 (*.f32 x x) #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))))
(/.f32 (.f32 (-.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 1/49 binary32))) (.f32 x x)) (+.f32 #s(literal 1/5 binary32) (.f32 #s(literal -1/7 binary32) (.f32 x x))))
(.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))
(.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 x x))
(.f32 (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))) x)
(exp.f32 (.f32 (log.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))) #s(literal 1 binary32)))
(+.f32 (.f32 (.f32 x x) #s(literal 1/3 binary32)) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 x (.f32 x (.f32 x x)))))
(+.f32 (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 x (.f32 x (.f32 x x)))) (.f32 (.f32 x x) #s(literal 1/3 binary32)))
(pow.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) #s(literal 1 binary32))
(fma.f32 x (.f32 x #s(literal 1/3 binary32)) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 x (.f32 x (*.f32 x x)))))
(fma.f32 (.f32 x x) #s(literal 1/3 binary32) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 x (.f32 x (*.f32 x x)))))
(fma.f32 #s(literal 1/3 binary32) (.f32 x x) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 x (.f32 x (*.f32 x x)))))
(fma.f32 (.f32 x #s(literal 1/3 binary32)) x (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 x (.f32 x (*.f32 x x)))))
(/.f32 (+.f32 (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/27 binary32))) (.f32 (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 x (.f32 x (.f32 x x)))) (.f32 (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 x (.f32 x (.f32 x x)))) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 x (.f32 x (.f32 x x))))))) (+.f32 (.f32 #s(literal 1/9 binary32) (.f32 x (.f32 x (.f32 x x)))) (-.f32 (.f32 (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 x (.f32 x (.f32 x x)))) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 x (.f32 x (.f32 x x))))) (.f32 (.f32 (.f32 x x) #s(literal 1/3 binary32)) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 x (.f32 x (.f32 x x))))))))
(/.f32 (-.f32 (.f32 #s(literal 1/9 binary32) (.f32 x (.f32 x (.f32 x x)))) (.f32 (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 x (.f32 x (.f32 x x)))) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 x (.f32 x (.f32 x x)))))) (-.f32 (.f32 (.f32 x x) #s(literal 1/3 binary32)) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 x (.f32 x (*.f32 x x))))))
(/.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/27 binary32) (.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 x (.f32 x (.f32 x x)))))))) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))) (-.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))) #s(literal 1/3 binary32)))))
(/.f32 (.f32 (.f32 x x) (-.f32 #s(literal 1/9 binary32) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 x (.f32 x (.f32 x x))))))) (-.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))
(/.f32 (.f32 (+.f32 #s(literal 1/27 binary32) (.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 x (.f32 x (.f32 x x))))))) (.f32 x x)) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))) (-.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))) #s(literal 1/3 binary32)))))
(/.f32 (.f32 (-.f32 #s(literal 1/9 binary32) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 x (.f32 x (.f32 x x)))))) (.f32 x x)) (-.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))
(.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
(.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))
(.f32 x (pow.f32 (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) #s(literal 1 binary32)))
(.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))
(.f32 (.f32 x x) (pow.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) #s(literal 1 binary32)))
(.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 x x))
(.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))) #s(literal 1 binary32))
(.f32 (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) x)
(.f32 (.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) (*.f32 x x))
(.f32 (pow.f32 (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) #s(literal 1 binary32)) x)
(.f32 (pow.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) #s(literal 1 binary32)) (.f32 x x))
(.f32 (pow.f32 (.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) #s(literal 1 binary32)) (*.f32 x x))

simplify279.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

3820×	`+-lowering-+.f64`
3820×	`+-lowering-+.f32`
3804×	`-lowering-.f32`
3804×	`-lowering-.f64`
2994×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	342	2716
1	1053	2325
2	2936	2279
0	8268	2279

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

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 -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)
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))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
x
(* 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
(+ 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 (* (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))))))
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
(+ 1 (* -1/9 (pow x 4)))
(+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9)))
(+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -71/525 (pow x 2)) 2/15)) 1/9)))
(* -1/49 (pow x 12))
(* -1 (* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 12) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49))
(* (pow x 12) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 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 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49))
(* (pow x 12) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))
(* 1/9 (pow x 4))
(* (pow x 4) (+ 1/9 (* 2/15 (pow x 2))))
(* (pow x 4) (+ 1/9 (* (pow x 2) (+ 2/15 (* 71/525 (pow x 2))))))
(* (pow x 4) (+ 1/9 (* (pow x 2) (+ 2/15 (* (pow x 2) (+ 71/525 (* 2/35 (pow x 2))))))))
(* 1/49 (pow x 12))
(* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))
(* 1/49 (pow x 12))
(* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))
-1
(- (* 2 x) 1)
(- (* x (+ 2 (* -1 x))) 1)
(- (* x (+ 2 (* -1 x))) 1)
(* -1 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 1))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 1 (/ 1 (pow x 2)))))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 1 (/ 1 (pow x 2)))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 1))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 2) x)) 1))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 2) x)) 1))
(* -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)))
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 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))
(* 1/7 (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)))))
(* 1/3 (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))))))

Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32)))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
(* 1/2 (- (log -3) (log 3)))
(*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32))))
(+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))
(+.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x x)))))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(+.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x x))) (/.f32 #s(literal 1/5 binary32) (pow.f32 x #s(literal 5 binary32))))))
(* 1/2 (- (log -3) (log 3)))
(*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32))))
(+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))
(+.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x x)))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (- (log -3) (log 3))))
(-.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32)))) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal -1/5 binary32) (.f32 x x)) #s(literal -1/3 binary32)) (*.f32 x x))) x))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2/3 (pow x 2))))
(.f32 x (+.f32 #s(literal 2 binary32) (.f32 x (*.f32 x #s(literal 2/3 binary32)))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(.f32 x (+.f32 #s(literal 2 binary32) (.f32 x (.f32 x (+.f32 #s(literal 2/3 binary32) (.f32 (*.f32 x x) #s(literal 2/5 binary32)))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(.f32 x (+.f32 #s(literal 2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 2/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 2/5 binary32) (.f32 (*.f32 x x) #s(literal 2/7 binary32))))))))
(- (log -3) (log 3))
(-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32)))
(- (+ (log -3) (* 2 (/ 1 x))) (log 3))
(+.f32 (log.f32 #s(literal -3 binary32)) (-.f32 (/.f32 #s(literal 2 binary32) x) (log.f32 #s(literal 3 binary32))))
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3))
(+.f32 (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32))) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (.f32 x (.f32 x x)))))
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) (log 3))
(+.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 5 binary32)))) (+.f32 (/.f32 #s(literal 2/3 binary32) (.f32 x (.f32 x x))) (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32)))))
(- (log -3) (log 3))
(-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32)))
(- (+ (log -3) (* 2 (/ 1 x))) (log 3))
(+.f32 (log.f32 #s(literal -3 binary32)) (-.f32 (/.f32 #s(literal 2 binary32) x) (log.f32 #s(literal 3 binary32))))
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3))
(+.f32 (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32))) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (.f32 x (.f32 x x)))))
(- (+ (log -3) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) (log 3))
(-.f32 (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32))) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -2/3 binary32) (/.f32 #s(literal -2/5 binary32) (.f32 x x))) (.f32 x x)) #s(literal -2 binary32)) x))
(* -4 (pow x 2))
(.f32 x (.f32 x #s(literal -4 binary32)))
(* (pow x 2) (- (* -8 x) 4))
(.f32 x (.f32 x (+.f32 #s(literal -4 binary32) (*.f32 x #s(literal -8 binary32)))))
(* (pow x 2) (- (* x (- (* -20 x) 8)) 4))
(.f32 (.f32 x x) (+.f32 #s(literal -4 binary32) (.f32 x (+.f32 #s(literal -8 binary32) (.f32 x #s(literal -20 binary32))))))
(* (pow x 2) (- (* x (- (* x (- (* -48 x) 20)) 8)) 4))
(.f32 (.f32 x x) (+.f32 #s(literal -4 binary32) (.f32 x (+.f32 #s(literal -8 binary32) (.f32 x (+.f32 #s(literal -20 binary32) (*.f32 x #s(literal -48 binary32))))))))
(log -3)
(log.f32 #s(literal -3 binary32))
(+ (log -3) (* 8/3 (/ 1 x)))
(+.f32 (log.f32 #s(literal -3 binary32)) (/.f32 #s(literal 8/3 binary32) x))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))
(+.f32 (log.f32 #s(literal -3 binary32)) (+.f32 (/.f32 #s(literal 8/3 binary32) x) (/.f32 #s(literal 4/9 binary32) (*.f32 x x))))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (+ (* 8/3 (/ 1 x)) (* 80/81 (/ 1 (pow x 3))))))
(+.f32 (log.f32 #s(literal -3 binary32)) (+.f32 (/.f32 #s(literal 8/3 binary32) x) (+.f32 (/.f32 #s(literal 4/9 binary32) (.f32 x x)) (/.f32 #s(literal 80/81 binary32) (.f32 x (*.f32 x x))))))
(log -3)
(log.f32 #s(literal -3 binary32))
(+ (log -3) (* 8/3 (/ 1 x)))
(+.f32 (log.f32 #s(literal -3 binary32)) (/.f32 #s(literal 8/3 binary32) x))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))
(+.f32 (log.f32 #s(literal -3 binary32)) (+.f32 (/.f32 #s(literal 8/3 binary32) x) (/.f32 #s(literal 4/9 binary32) (*.f32 x x))))
(+ (log -3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 80/81 (/ 1 x))) x)) 8/3) x)))
(-.f32 (log.f32 #s(literal -3 binary32)) (/.f32 (-.f32 #s(literal -8/3 binary32) (/.f32 (+.f32 #s(literal 4/9 binary32) (/.f32 #s(literal 80/81 binary32) x)) x)) x))
(* -4 (pow x 2))
(.f32 x (.f32 x #s(literal -4 binary32)))
(* (pow x 2) (- (* -8 x) 4))
(.f32 x (.f32 x (+.f32 #s(literal -4 binary32) (*.f32 x #s(literal -8 binary32)))))
(* (pow x 2) (- (* x (- (* -12 x) 8)) 4))
(.f32 (.f32 x x) (+.f32 #s(literal -4 binary32) (.f32 x (+.f32 #s(literal -8 binary32) (.f32 x #s(literal -12 binary32))))))
(* (pow x 2) (- (* x (- (* x (- (* -16 x) 12)) 8)) 4))
(.f32 (.f32 x x) (+.f32 #s(literal -4 binary32) (.f32 x (+.f32 #s(literal -8 binary32) (.f32 x (+.f32 #s(literal -12 binary32) (*.f32 x #s(literal -16 binary32))))))))
-4
#s(literal -4 binary32)
(* -1 (+ 4 (* 8 (/ 1 x))))
(-.f32 #s(literal -4 binary32) (/.f32 #s(literal 8 binary32) x))
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4)
(-.f32 #s(literal -4 binary32) (/.f32 (+.f32 #s(literal 8 binary32) (/.f32 #s(literal 12 binary32) x)) x))
(- (* -1 (/ (+ 12 (* 16 (/ 1 x))) (pow x 2))) (+ 4 (* 8 (/ 1 x))))
(+.f32 (/.f32 (+.f32 #s(literal -12 binary32) (/.f32 #s(literal -16 binary32) x)) (*.f32 x x)) (-.f32 #s(literal -4 binary32) (/.f32 #s(literal 8 binary32) x)))
-4
#s(literal -4 binary32)
(* -1 (+ 4 (* 8 (/ 1 x))))
(-.f32 #s(literal -4 binary32) (/.f32 #s(literal 8 binary32) x))
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4)
(-.f32 #s(literal -4 binary32) (/.f32 (+.f32 #s(literal 8 binary32) (/.f32 #s(literal 12 binary32) x)) x))
(- (* -1 (/ (+ 8 (+ (* 12 (/ 1 x)) (/ 16 (pow x 2)))) x)) 4)
(+.f32 #s(literal -4 binary32) (/.f32 (+.f32 (+.f32 #s(literal -8 binary32) (/.f32 #s(literal -12 binary32) x)) (/.f32 #s(literal -16 binary32) (*.f32 x x))) x))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))
(* x (+ 1 (* 1/3 (pow x 2))))
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(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f32 (.f32 (+.f32 #s(literal 1/7 binary32) (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (*.f32 x x))))) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1/9 (pow x 4)))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) #s(literal -1/9 binary32)))
(+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9)))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal -1/9 binary32) (.f32 (.f32 x x) #s(literal -2/15 binary32)))))
(+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -71/525 (pow x 2)) 2/15)) 1/9)))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal -1/9 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -2/15 binary32) (.f32 (.f32 x x) #s(literal -71/525 binary32)))))))
(* -1/49 (pow x 12))
(*.f32 #s(literal -1/49 binary32) (pow.f32 x #s(literal 12 binary32)))
(* -1 (* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))
(.f32 (pow.f32 x #s(literal 12 binary32)) (-.f32 #s(literal -1/49 binary32) (/.f32 #s(literal 2/35 binary32) (.f32 x x))))
(* (pow x 12) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49))
(.f32 (pow.f32 x #s(literal 12 binary32)) (+.f32 #s(literal -1/49 binary32) (/.f32 (+.f32 #s(literal -2/35 binary32) (/.f32 #s(literal -71/525 binary32) (.f32 x x))) (*.f32 x x))))
(* (pow x 12) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))
(.f32 (pow.f32 x #s(literal 12 binary32)) (+.f32 (/.f32 (+.f32 #s(literal -71/525 binary32) (/.f32 #s(literal -2/15 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x))) (-.f32 #s(literal -1/49 binary32) (/.f32 #s(literal 2/35 binary32) (.f32 x x)))))
(* -1/49 (pow x 12))
(*.f32 #s(literal -1/49 binary32) (pow.f32 x #s(literal 12 binary32)))
(* -1 (* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))
(.f32 (pow.f32 x #s(literal 12 binary32)) (-.f32 #s(literal -1/49 binary32) (/.f32 #s(literal 2/35 binary32) (.f32 x x))))
(* (pow x 12) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49))
(.f32 (pow.f32 x #s(literal 12 binary32)) (+.f32 #s(literal -1/49 binary32) (/.f32 (+.f32 #s(literal -2/35 binary32) (/.f32 #s(literal -71/525 binary32) (.f32 x x))) (*.f32 x x))))
(* (pow x 12) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))
(.f32 (pow.f32 x #s(literal 12 binary32)) (+.f32 (/.f32 (+.f32 #s(literal -71/525 binary32) (/.f32 #s(literal -2/15 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x))) (-.f32 #s(literal -1/49 binary32) (/.f32 #s(literal 2/35 binary32) (.f32 x x)))))
(* 1/9 (pow x 4))
(.f32 (.f32 (.f32 x x) (.f32 x x)) #s(literal 1/9 binary32))
(* (pow x 4) (+ 1/9 (* 2/15 (pow x 2))))
(.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32))))
(* (pow x 4) (+ 1/9 (* (pow x 2) (+ 2/15 (* 71/525 (pow x 2))))))
(.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal 1/9 binary32) (.f32 x (.f32 x (+.f32 #s(literal 2/15 binary32) (.f32 (.f32 x x) #s(literal 71/525 binary32)))))))
(* (pow x 4) (+ 1/9 (* (pow x 2) (+ 2/15 (* (pow x 2) (+ 71/525 (* 2/35 (pow x 2))))))))
(.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal 1/9 binary32) (.f32 x (.f32 x (+.f32 #s(literal 2/15 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 71/525 binary32) (.f32 x (.f32 x #s(literal 2/35 binary32))))))))))
(* 1/49 (pow x 12))
(*.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1/49 binary32))
(* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 12 binary32)) (+.f32 #s(literal 1/49 binary32) (/.f32 #s(literal 2/35 binary32) (.f32 x x))))
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(.f32 (pow.f32 x #s(literal 12 binary32)) (+.f32 (+.f32 #s(literal 1/49 binary32) (/.f32 #s(literal 2/35 binary32) (.f32 x x))) (/.f32 #s(literal 71/525 binary32) (.f32 (.f32 x x) (*.f32 x x)))))
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))
(.f32 (pow.f32 x #s(literal 12 binary32)) (+.f32 #s(literal 1/49 binary32) (+.f32 (/.f32 #s(literal 71/525 binary32) (.f32 (.f32 x x) (.f32 x x))) (+.f32 (/.f32 #s(literal 2/35 binary32) (*.f32 x x)) (/.f32 #s(literal 2/15 binary32) (pow.f32 x #s(literal 6 binary32)))))))
(* 1/49 (pow x 12))
(*.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1/49 binary32))
(* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 12 binary32)) (+.f32 #s(literal 1/49 binary32) (/.f32 #s(literal 2/35 binary32) (.f32 x x))))
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(.f32 (pow.f32 x #s(literal 12 binary32)) (+.f32 (+.f32 #s(literal 1/49 binary32) (/.f32 #s(literal 2/35 binary32) (.f32 x x))) (/.f32 #s(literal 71/525 binary32) (.f32 (.f32 x x) (*.f32 x x)))))
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))
(.f32 (pow.f32 x #s(literal 12 binary32)) (+.f32 #s(literal 1/49 binary32) (+.f32 (/.f32 #s(literal 71/525 binary32) (.f32 (.f32 x x) (.f32 x x))) (+.f32 (/.f32 #s(literal 2/35 binary32) (*.f32 x x)) (/.f32 #s(literal 2/15 binary32) (pow.f32 x #s(literal 6 binary32)))))))
-1
#s(literal -1 binary32)
(- (* 2 x) 1)
(+.f32 #s(literal -1 binary32) (*.f32 x #s(literal 2 binary32)))
(- (* x (+ 2 (* -1 x))) 1)
(+.f32 #s(literal -1 binary32) (*.f32 x (-.f32 #s(literal 2 binary32) x)))
(- (* x (+ 2 (* -1 x))) 1)
(+.f32 #s(literal -1 binary32) (*.f32 x (-.f32 #s(literal 2 binary32) x)))
(* -1 (pow x 2))
(-.f32 #s(literal 0 binary32) (*.f32 x x))
(* (pow x 2) (- (* 2 (/ 1 x)) 1))
(.f32 (.f32 x x) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) x)))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 1 (/ 1 (pow x 2)))))
(.f32 (.f32 x x) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) x)) x)))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 1 (/ 1 (pow x 2)))))
(.f32 (.f32 x x) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) x)) x)))
(* -1 (pow x 2))
(-.f32 #s(literal 0 binary32) (*.f32 x x))
(* (pow x 2) (- (* 2 (/ 1 x)) 1))
(.f32 (.f32 x x) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) x)))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 2) x)) 1))
(.f32 (.f32 x x) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) x)) x)))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 2) x)) 1))
(.f32 (.f32 x x) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) x)) x)))
(* -2 x)
(*.f32 x #s(literal -2 binary32))
(* x (- (* -4 x) 2))
(.f32 x (+.f32 #s(literal -2 binary32) (.f32 x #s(literal -4 binary32))))
(* x (- (* x (- (* -26/3 x) 4)) 2))
(.f32 x (+.f32 #s(literal -2 binary32) (.f32 x (+.f32 #s(literal -4 binary32) (*.f32 x #s(literal -26/3 binary32))))))
(* x (- (* x (- (* x (- (* -20 x) 26/3)) 4)) 2))
(.f32 x (+.f32 #s(literal -2 binary32) (.f32 x (+.f32 #s(literal -4 binary32) (.f32 x (+.f32 (.f32 x #s(literal -20 binary32)) #s(literal -26/3 binary32)))))))
(log 3)
(log.f32 #s(literal 3 binary32))
(+ (log 3) (* 2/3 (/ 1 x)))
(+.f32 (log.f32 #s(literal 3 binary32)) (/.f32 #s(literal 2/3 binary32) x))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+.f32 (log.f32 #s(literal 3 binary32)) (+.f32 (/.f32 #s(literal 4/9 binary32) (*.f32 x x)) (/.f32 #s(literal 2/3 binary32) x)))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (+ (* 2/3 (/ 1 x)) (* 26/81 (/ 1 (pow x 3))))))
(+.f32 (+.f32 (log.f32 #s(literal 3 binary32)) (/.f32 #s(literal 2/3 binary32) x)) (+.f32 (/.f32 #s(literal 4/9 binary32) (.f32 x x)) (/.f32 #s(literal 26/81 binary32) (.f32 x (*.f32 x x)))))
(log 3)
(log.f32 #s(literal 3 binary32))
(+ (log 3) (* 2/3 (/ 1 x)))
(+.f32 (log.f32 #s(literal 3 binary32)) (/.f32 #s(literal 2/3 binary32) x))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+.f32 (log.f32 #s(literal 3 binary32)) (+.f32 (/.f32 #s(literal 4/9 binary32) (*.f32 x x)) (/.f32 #s(literal 2/3 binary32) x)))
(+ (log 3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) x)) 2/3) x)))
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (-.f32 #s(literal -2/3 binary32) (/.f32 (+.f32 #s(literal 4/9 binary32) (/.f32 #s(literal 26/81 binary32) x)) x)) x))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))
(* 1/7 (pow x 4))
(.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/7 binary32))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))))
(* 1/7 (pow x 4))
(.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/7 binary32))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))))
(* 1/3 (pow x 2))
(.f32 x (.f32 x #s(literal 1/3 binary32)))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))
(* 1/7 (pow x 6))
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 6 binary32)))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (pow.f32 x #s(literal 6 binary32)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (+.f32 #s(literal 1/7 binary32) (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (*.f32 x x))))) (pow.f32 x #s(literal 6 binary32)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (+.f32 #s(literal 1/7 binary32) (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (*.f32 x x))))) (pow.f32 x #s(literal 6 binary32)))
(* 1/7 (pow x 6))
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 6 binary32)))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (pow.f32 x #s(literal 6 binary32)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (+.f32 #s(literal 1/7 binary32) (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (*.f32 x x))))) (pow.f32 x #s(literal 6 binary32)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (+.f32 #s(literal 1/7 binary32) (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (*.f32 x x))))) (pow.f32 x #s(literal 6 binary32)))

eval198.0ms (2.2%)

Compiler: Compiled 66655 to 3335 computations (95% saved)

prune119.0ms (1.3%)

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	1353	3	1356
Fresh	4	1	5
Picked	1	4	5
Done	0	4	4
Total	1358	12	1370

Accuracy

100.0%

Counts

1370 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(+.f32 (.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))) x) x)
✓	98.5%	(+.f32 (.f32 (.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x)
▶	99.4%	(+.f32 (.f32 x (+.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 x (.f32 x (.f32 x x)))))) (.f32 x (.f32 (.f32 x x) #s(literal 1/3 binary32))))
▶	99.1%	(+.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x #s(literal 1/5 binary32)))))) x)
✓	99.0%	(.f32 x (+.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (.f32 (.f32 x x) (.f32 x (*.f32 x #s(literal 1/5 binary32))))))
✓	99.3%	(.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (+.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))) #s(literal 1 binary32))))
✓	99.0%	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
▶	99.4%	(.f32 x (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))))
✓	99.4%	(.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32))))))
✓	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (.f32 x x)))))
✓	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
✓	96.6%	x

Compiler

Compiled 236 to 146 computations (38.1% saved)

simplify208.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))
✓	cost-diff	0	(.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))
✓	cost-diff	0	(.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))) x)
✓	cost-diff	0	(+.f32 (.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))) x) x)
✓	cost-diff	0	(.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 x (.f32 x (.f32 x x))))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 x (.f32 x (.f32 x x)))))
✓	cost-diff	0	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 x (.f32 x (*.f32 x x))))))
✓	cost-diff	192	(+.f32 (.f32 x (+.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 x (.f32 x (.f32 x x)))))) (.f32 x (.f32 (.f32 x x) #s(literal 1/3 binary32))))
✓	cost-diff	0	(*.f32 x x)
✓	cost-diff	0	(.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x #s(literal 1/5 binary32)))))
✓	cost-diff	0	(.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x #s(literal 1/5 binary32))))))
✓	cost-diff	0	(+.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x #s(literal 1/5 binary32)))))) x)
✓	cost-diff	0	(.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32))))
✓	cost-diff	0	(-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32)))))
✓	cost-diff	64	(.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
✓	cost-diff	64	(.f32 x (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))))

Rules

2858×	`-lowering-.f32`
2858×	`-lowering-.f64`
1798×	`fnmadd-define`
1756×	`fma-lowering-fma.f32`
1756×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	43	425
1	164	373
2	581	362
3	2037	361
4	4441	360
0	8098	360

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x (* (- 1 (* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15)))) (/ 1 (- 1 (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))))))
x
(* (- 1 (* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15)))) (/ 1 (- 1 (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))))))
(- 1 (* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15))))
1
(* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15)))
(* (* x x) (* x x))
(* x x)
(+ 1/9 (* (* x x) 2/15))
1/9
(* (* x x) 2/15)
2/15
(/ 1 (- 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))))
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 (* (* x x) (+ 1/3 (* x (* x 1/5))))) x)
(* x (* (* x x) (+ 1/3 (* x (* x 1/5)))))
x
(* (* x x) (+ 1/3 (* x (* x 1/5))))
(* x x)
(+ 1/3 (* x (* x 1/5)))
1/3
(* x (* x 1/5))
(* x 1/5)
1/5
(+ (* x (+ 1 (* (+ 1/5 (* (* x x) 1/7)) (* x (* x (* x x)))))) (* x (* (* x x) 1/3)))
(* x (+ 1 (* (+ 1/5 (* (* x x) 1/7)) (* x (* x (* x x))))))
x
(+ 1 (* (+ 1/5 (* (* x x) 1/7)) (* x (* x (* x x)))))
1
(* (+ 1/5 (* (* x x) 1/7)) (* x (* x (* x x))))
(+ 1/5 (* (* x x) 1/7))
1/5
(* (* x x) 1/7)
(* x x)
1/7
(* x (* x (* x x)))
(* x (* x x))
(* x (* (* x x) 1/3))
(* (* x x) 1/3)
1/3
(+ (* (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))) x) x)
(* (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))) x)
(* 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)))))
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)
(* x x)
1/7

Outputs
(* x (* (- 1 (* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15)))) (/ 1 (- 1 (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))))))
(/.f32 (.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal -1/9 binary32) (.f32 (.f32 x x) #s(literal -2/15 binary32)))))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
x
(* (- 1 (* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15)))) (/ 1 (- 1 (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal -1/9 binary32) (.f32 (.f32 x x) #s(literal -2/15 binary32))))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))))
(- 1 (* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15))))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal -1/9 binary32) (.f32 (.f32 x x) #s(literal -2/15 binary32)))))))
1
#s(literal 1 binary32)
(* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15)))
(.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/9 binary32) (.f32 x (.f32 x #s(literal 2/15 binary32)))))
(* (* x x) (* x x))
(.f32 x (.f32 x (*.f32 x x)))
(* x x)
(*.f32 x x)
(+ 1/9 (* (* x x) 2/15))
(+.f32 #s(literal 1/9 binary32) (.f32 x (.f32 x #s(literal 2/15 binary32))))
1/9
#s(literal 1/9 binary32)
(* (* x x) 2/15)
(.f32 x (.f32 x #s(literal 2/15 binary32)))
2/15
#s(literal 2/15 binary32)
(/ 1 (- 1 (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))))
(- 1 (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))))
(-.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))
(* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))
(+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))
(+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))
1/3
#s(literal 1/3 binary32)
(* (* x x) (+ 1/5 (* (* x x) 1/7)))
(.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))
(+ 1/5 (* (* x x) 1/7))
(+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))
1/5
#s(literal 1/5 binary32)
(* (* x x) 1/7)
(.f32 (.f32 x x) #s(literal 1/7 binary32))
1/7
#s(literal 1/7 binary32)
(+ (* x (* (* x x) (+ 1/3 (* x (* x 1/5))))) x)
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(* x (* (* x x) (+ 1/3 (* x (* x 1/5)))))
(.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32)))))
x
(* (* x x) (+ 1/3 (* x (* x 1/5))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32))))
(* x x)
(*.f32 x x)
(+ 1/3 (* x (* x 1/5)))
(+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))
1/3
#s(literal 1/3 binary32)
(* x (* x 1/5))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* x 1/5)
(*.f32 x #s(literal 1/5 binary32))
1/5
#s(literal 1/5 binary32)
(+ (* x (+ 1 (* (+ 1/5 (* (* x x) 1/7)) (* x (* x (* x x)))))) (* x (* (* x x) 1/3)))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
(* x (+ 1 (* (+ 1/5 (* (* x x) 1/7)) (* x (* x (* x x))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))
x
(+ 1 (* (+ 1/5 (* (* x x) 1/7)) (* x (* x (* x x)))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))
1
#s(literal 1 binary32)
(* (+ 1/5 (* (* x x) 1/7)) (* x (* x (* x x))))
(.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))
(+ 1/5 (* (* x x) 1/7))
(+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))
1/5
#s(literal 1/5 binary32)
(* (* x x) 1/7)
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* x x)
(*.f32 x x)
1/7
#s(literal 1/7 binary32)
(* x (* x (* x x)))
(.f32 x (.f32 x (*.f32 x x)))
(* x (* x x))
(.f32 x (.f32 x x))
(* x (* (* x x) 1/3))
(.f32 x (.f32 (*.f32 x x) #s(literal 1/3 binary32)))
(* (* x x) 1/3)
(.f32 (.f32 x x) #s(literal 1/3 binary32))
1/3
#s(literal 1/3 binary32)
(+ (* (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))) x) x)
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
(* (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))) x)
(.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))
(* x (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))
x
(* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))
(.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))
(+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))
(+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))
1/3
#s(literal 1/3 binary32)
(* x (* x (+ 1/5 (* (* x x) 1/7))))
(.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))
(* x (+ 1/5 (* (* x x) 1/7)))
(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))
(+ 1/5 (* (* x x) 1/7))
(+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))
1/5
#s(literal 1/5 binary32)
(* (* x x) 1/7)
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* x x)
(*.f32 x x)
1/7
#s(literal 1/7 binary32)

localize323.0ms (3.6%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))
✓	accuracy	99.4%	(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))
✓	accuracy	99.1%	(.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))
✓	accuracy	99.1%	(.f32 (.f32 x x) #s(literal 1/7 binary32))
✓	accuracy	99.7%	(.f32 x (.f32 x x))
✓	accuracy	99.7%	(.f32 x (.f32 (*.f32 x x) #s(literal 1/3 binary32)))
✓	accuracy	99.3%	(.f32 (.f32 x x) #s(literal 1/3 binary32))
✓	accuracy	99.1%	(.f32 (.f32 x x) #s(literal 1/7 binary32))
✓	accuracy	99.7%	(.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x #s(literal 1/5 binary32))))))
✓	accuracy	99.6%	(.f32 x (.f32 x #s(literal 1/5 binary32)))
✓	accuracy	99.4%	(*.f32 x #s(literal 1/5 binary32))
✓	accuracy	99.3%	(.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x #s(literal 1/5 binary32)))))
✓	accuracy	99.5%	(.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))
✓	accuracy	99.3%	(.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))
✓	accuracy	99.1%	(.f32 (.f32 x x) #s(literal 1/7 binary32))
✓	accuracy	98.9%	(.f32 (.f32 x x) #s(literal 2/15 binary32))

Results

230.0ms

256×

valid

Compiler

Compiled 542 to 44 computations (91.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 136.0ms

ival-mult: 53.0ms (39% of total)

...c/correct-round.rkt:119:19: 52.0ms (38.3% of total)

ival-add: 25.0ms (18.4% of total)

ival-sub: 3.0ms (2.2% of total)

ival-div: 2.0ms (1.5% of total)

const: 0.0ms (0% of total)

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

series13.0ms (0.1%)

Counts

26 → 312

Calls

Call 1

Inputs
#<alt (* x (* (- 1 (* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15)))) (/ 1 (- 1 (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))))))>
#<alt (* (- 1 (* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15)))) (/ 1 (- 1 (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))))))>
#<alt (- 1 (* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15))))>
#<alt (* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15)))>
#<alt (+ (* x (* (* x x) (+ 1/3 (* x (* x 1/5))))) x)>
#<alt (* x (* (* x x) (+ 1/3 (* x (* x 1/5)))))>
#<alt (* (* x x) (+ 1/3 (* x (* x 1/5))))>
#<alt (* x x)>
#<alt (+ (* x (+ 1 (* (+ 1/5 (* (* x x) 1/7)) (* x (* x (* x x)))))) (* x (* (* x x) 1/3)))>
#<alt (* x (+ 1 (* (+ 1/5 (* (* x x) 1/7)) (* x (* x (* x x))))))>
#<alt (+ 1 (* (+ 1/5 (* (* x x) 1/7)) (* x (* x (* x x)))))>
#<alt (* (+ 1/5 (* (* x x) 1/7)) (* x (* x (* x x))))>
#<alt (+ (* (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))) x) x)>
#<alt (* (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))) x)>
#<alt (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))))>
#<alt (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))>
#<alt (* (* x x) 2/15)>
#<alt (* (* x x) 1/7)>
#<alt (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))>
#<alt (* (* x x) (+ 1/5 (* (* x x) 1/7)))>
#<alt (* x 1/5)>
#<alt (* x (* x 1/5))>
#<alt (* (* x x) 1/3)>
#<alt (* x (* (* x x) 1/3))>
#<alt (* x (* x x))>
#<alt (* 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 (* 14/15 x)>
#<alt (* x (- 14/15 (* 119/225 (/ 1 (pow x 2)))))>
#<alt (* x (+ 14/15 (* -1 (/ (+ 119/225 (* 539/375 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 14/15 (* 46907/16875 (/ 1 (pow x 6)))) (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4)))))>
#<alt (* 14/15 x)>
#<alt (* -1 (* x (- (* 119/225 (/ 1 (pow x 2))) 14/15)))>
#<alt (* -1 (* x (- (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4))) 14/15)))>
#<alt (* -1 (* x (- (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4))) (+ 14/15 (* 46907/16875 (/ 1 (pow x 6)))))))>
#<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 14/15>
#<alt (- 14/15 (* 119/225 (/ 1 (pow x 2))))>
#<alt (+ 14/15 (* -1 (/ (+ 119/225 (* 539/375 (/ 1 (pow x 2)))) (pow x 2))))>
#<alt (- (+ 14/15 (* 46907/16875 (/ 1 (pow x 6)))) (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4))))>
#<alt 14/15>
#<alt (- 14/15 (* 119/225 (/ 1 (pow x 2))))>
#<alt (+ 14/15 (* -1 (/ (+ 119/225 (* 539/375 (/ 1 (pow x 2)))) (pow x 2))))>
#<alt (- (+ 14/15 (* 46907/16875 (/ 1 (pow x 6)))) (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4))))>
#<alt 1>
#<alt (+ 1 (* -1/9 (pow x 4)))>
#<alt (+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9)))>
#<alt (+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9)))>
#<alt (* -2/15 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))>
#<alt (* -2/15 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))>
#<alt (* 1/9 (pow x 4))>
#<alt (* (pow x 4) (+ 1/9 (* 2/15 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/9 (* 2/15 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/9 (* 2/15 (pow x 2))))>
#<alt (* 2/15 (pow x 6))>
#<alt (* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 6))>
#<alt (* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 2/15 (* 1/9 (/ 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 (* 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 (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 3) (+ 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)))))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (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)))))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<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 (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 (* (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 x>
#<alt (* x (+ 1 (* 1/5 (pow x 4))))>
#<alt (* x (+ 1 (* (pow x 4) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 4) (+ 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 (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))>
#<alt (* (pow x 7) (+ 1/7 (+ (* 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 (pow x 4))) (pow x 2))) 1/7)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (/ 1 (pow x 4))) (pow x 2))) 1/7)))>
#<alt 1>
#<alt (+ 1 (* 1/5 (pow x 4)))>
#<alt (+ 1 (* (pow x 4) (+ 1/5 (* 1/7 (pow x 2)))))>
#<alt (+ 1 (* (pow x 4) (+ 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 (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (* 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 (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* (pow x 4) (+ 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 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (* 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 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 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 (* 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 (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* (pow x 3) (+ 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))))))>
#<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 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<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 (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* 1/7 (pow x 5))>
#<alt (* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/7 (pow x 5))>
#<alt (* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (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 (* 1/3 (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 (* 1/5 (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 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<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 (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 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 (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* 1/5 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)))))>

Calls

78 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(* (- 1 (* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15)))) (/ 1 (- 1 (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))))))
0.0ms	x	@	inf	(* x (* (- 1 (* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15)))) (/ 1 (- 1 (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))))))
0.0ms	x	@	inf	(- 1 (* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15))))
0.0ms	x	@	-inf	(* x (* x x))
0.0ms	x	@	inf	(* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15)))

rewrite689.0ms (7.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3080×	`-lowering-.f32`
3080×	`-lowering-.f64`
2646×	`fma-lowering-fma.f32`
2646×	`fma-lowering-fma.f64`
2142×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	290
1	306	254
2	2708	245
0	8207	245

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 759

Calls

Call 1

Inputs
(* x (* (- 1 (* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15)))) (/ 1 (- 1 (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))))))
(* (- 1 (* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15)))) (/ 1 (- 1 (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))))))
(- 1 (* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15))))
(* (* (* x x) (* x x)) (+ 1/9 (* (* x x) 2/15)))
(+ (* x (* (* x x) (+ 1/3 (* x (* x 1/5))))) x)
(* x (* (* x x) (+ 1/3 (* x (* x 1/5)))))
(* (* x x) (+ 1/3 (* x (* x 1/5))))
(* x x)
(+ (* x (+ 1 (* (+ 1/5 (* (* x x) 1/7)) (* x (* x (* x x)))))) (* x (* (* x x) 1/3)))
(* x (+ 1 (* (+ 1/5 (* (* x x) 1/7)) (* x (* x (* x x))))))
(+ 1 (* (+ 1/5 (* (* x x) 1/7)) (* x (* x (* x x)))))
(* (+ 1/5 (* (* x x) 1/7)) (* x (* x (* x x))))
(+ (* (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))) x) x)
(* (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))) x)
(* x (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))))
(* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))
(* (* x x) 2/15)
(* (* x x) 1/7)
(* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))
(* (* x x) (+ 1/5 (* (* x x) 1/7)))
(* x 1/5)
(* x (* x 1/5))
(* (* x x) 1/3)
(* x (* (* x x) 1/3))
(* x (* x x))
(* x (+ 1/5 (* (* x x) 1/7)))

Outputs
(/.f32 (.f32 x (-.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32)))))) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
(/.f32 (.f32 (.f32 x (-.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32)))))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))))
(/.f32 (.f32 (.f32 x (-.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32)))))) #s(literal -1 binary32)) (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))))
(/.f32 (neg.f32 (.f32 x (-.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32))))))) (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))))
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(/.f32 (neg.f32 (+.f32 (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/125 binary32))) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)))))) (neg.f32 (+.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 1/25 binary32)) (-.f32 (.f32 (.f32 x (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x x)))) (.f32 x (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x x))))) (.f32 (.f32 x (.f32 x #s(literal 1/5 binary32))) (.f32 x (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x x)))))))))
(/.f32 (neg.f32 (-.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 1/25 binary32)) (.f32 (.f32 x (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x x)))) (.f32 x (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x x))))))) (neg.f32 (-.f32 (.f32 x (.f32 x #s(literal 1/5 binary32))) (.f32 x (.f32 #s(literal 1/7 binary32) (.f32 x (*.f32 x x)))))))
(/.f32 (neg.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/125 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)))))) (neg.f32 (+.f32 #s(literal 1/25 binary32) (.f32 (.f32 (.f32 x x) #s(literal 1/7 binary32)) (-.f32 (.f32 (*.f32 x x) #s(literal 1/7 binary32)) #s(literal 1/5 binary32))))))
(/.f32 (neg.f32 (.f32 (.f32 x x) (-.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 1/49 binary32))))) (neg.f32 (-.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))
(/.f32 (neg.f32 (.f32 (+.f32 #s(literal 1/125 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)))) (.f32 x x))) (neg.f32 (+.f32 #s(literal 1/25 binary32) (.f32 (.f32 (.f32 x x) #s(literal 1/7 binary32)) (-.f32 (.f32 (*.f32 x x) #s(literal 1/7 binary32)) #s(literal 1/5 binary32))))))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 1/49 binary32))) (.f32 x x))) (neg.f32 (-.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))
(.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))
(.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 x x))
(.f32 (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))) x)
(*.f32 x #s(literal 1/5 binary32))
(*.f32 #s(literal 1/5 binary32) x)
(.f32 x (.f32 x #s(literal 1/5 binary32)))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(.f32 #s(literal 1/5 binary32) (.f32 x x))
(.f32 (.f32 x #s(literal 1/5 binary32)) x)
(.f32 x (.f32 x #s(literal 1/3 binary32)))
(.f32 (.f32 x x) #s(literal 1/3 binary32))
(.f32 #s(literal 1/3 binary32) (.f32 x x))
(.f32 (.f32 x #s(literal 1/3 binary32)) x)
(.f32 x (.f32 (*.f32 x x) #s(literal 1/3 binary32)))
(.f32 (.f32 x x) (*.f32 x #s(literal 1/3 binary32)))
(.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x x)))
(.f32 (.f32 x (*.f32 x x)) #s(literal 1/3 binary32))
(.f32 (.f32 (*.f32 x x) #s(literal 1/3 binary32)) x)
(.f32 (.f32 x #s(literal 1/3 binary32)) (*.f32 x x))
(exp.f32 (*.f32 (log.f32 x) #s(literal 3 binary32)))
(pow.f32 x #s(literal 3 binary32))
(pow.f32 (*.f32 x x) #s(literal 3/2 binary32))
(pow.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 2 binary32))
(pow.f32 (exp.f32 (log.f32 x)) #s(literal 3 binary32))
(.f32 x (.f32 x x))
(.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))
(.f32 (.f32 x x) x)
(.f32 (.f32 x (*.f32 x x)) #s(literal 1 binary32))
(*.f32 (pow.f32 x #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3/2 binary32)))
(+.f32 (.f32 x #s(literal 1/5 binary32)) (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x x))))
(+.f32 (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x x))) (.f32 x #s(literal 1/5 binary32)))
(fma.f32 x #s(literal 1/5 binary32) (.f32 #s(literal 1/7 binary32) (.f32 x (*.f32 x x))))
(fma.f32 x (.f32 (.f32 x x) #s(literal 1/7 binary32)) (*.f32 x #s(literal 1/5 binary32)))
(fma.f32 (.f32 x x) (.f32 x #s(literal 1/7 binary32)) (*.f32 x #s(literal 1/5 binary32)))
(fma.f32 #s(literal 1/5 binary32) x (.f32 #s(literal 1/7 binary32) (.f32 x (*.f32 x x))))
(fma.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x x)) (*.f32 x #s(literal 1/5 binary32)))
(fma.f32 (.f32 (.f32 x x) #s(literal 1/7 binary32)) x (*.f32 x #s(literal 1/5 binary32)))
(fma.f32 (.f32 x (.f32 x x)) #s(literal 1/7 binary32) (*.f32 x #s(literal 1/5 binary32)))
(fma.f32 (.f32 x #s(literal 1/7 binary32)) (.f32 x x) (*.f32 x #s(literal 1/5 binary32)))
(-.f32 (/.f32 (.f32 (.f32 x #s(literal 1/5 binary32)) (.f32 x #s(literal 1/5 binary32))) (-.f32 (.f32 x #s(literal 1/5 binary32)) (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x x))))) (/.f32 (.f32 (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x x))) (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x x)))) (-.f32 (.f32 x #s(literal 1/5 binary32)) (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x x))))))
(/.f32 (+.f32 (.f32 (.f32 x (.f32 x x)) #s(literal 1/125 binary32)) (.f32 (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)))) (+.f32 (.f32 (.f32 x #s(literal 1/5 binary32)) (.f32 x #s(literal 1/5 binary32))) (-.f32 (.f32 (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x x))) (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x x)))) (.f32 (.f32 x #s(literal 1/5 binary32)) (.f32 #s(literal 1/7 binary32) (.f32 x (*.f32 x x)))))))
(/.f32 (-.f32 (.f32 (.f32 x #s(literal 1/5 binary32)) (.f32 x #s(literal 1/5 binary32))) (.f32 (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x x))) (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x x))))) (-.f32 (.f32 x #s(literal 1/5 binary32)) (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x x)))))
(/.f32 (.f32 x (+.f32 #s(literal 1/125 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32))))) (+.f32 #s(literal 1/25 binary32) (.f32 (.f32 (.f32 x x) #s(literal 1/7 binary32)) (-.f32 (.f32 (.f32 x x) #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))))
(/.f32 (.f32 x (-.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 1/49 binary32)))) (-.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))
(/.f32 (.f32 (+.f32 #s(literal 1/125 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)))) x) (+.f32 #s(literal 1/25 binary32) (.f32 (.f32 (.f32 x x) #s(literal 1/7 binary32)) (-.f32 (.f32 (.f32 x x) #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))))
(/.f32 (.f32 (-.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 1/49 binary32))) x) (-.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))
(/.f32 (neg.f32 (+.f32 (.f32 (.f32 x (.f32 x x)) #s(literal 1/125 binary32)) (.f32 (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32))))) (neg.f32 (+.f32 (.f32 (.f32 x #s(literal 1/5 binary32)) (.f32 x #s(literal 1/5 binary32))) (-.f32 (.f32 (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x x))) (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x x)))) (.f32 (.f32 x #s(literal 1/5 binary32)) (.f32 #s(literal 1/7 binary32) (.f32 x (*.f32 x x))))))))
(/.f32 (neg.f32 (-.f32 (.f32 (.f32 x #s(literal 1/5 binary32)) (.f32 x #s(literal 1/5 binary32))) (.f32 (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x x))) (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x x)))))) (neg.f32 (-.f32 (.f32 x #s(literal 1/5 binary32)) (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x x))))))
(/.f32 (neg.f32 (.f32 x (+.f32 #s(literal 1/125 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)))))) (neg.f32 (+.f32 #s(literal 1/25 binary32) (.f32 (.f32 (.f32 x x) #s(literal 1/7 binary32)) (-.f32 (.f32 (.f32 x x) #s(literal 1/7 binary32)) #s(literal 1/5 binary32))))))
(/.f32 (neg.f32 (.f32 x (-.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 1/49 binary32))))) (neg.f32 (-.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))
(/.f32 (neg.f32 (.f32 (+.f32 #s(literal 1/125 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)))) x)) (neg.f32 (+.f32 #s(literal 1/25 binary32) (.f32 (.f32 (.f32 x x) #s(literal 1/7 binary32)) (-.f32 (.f32 (.f32 x x) #s(literal 1/7 binary32)) #s(literal 1/5 binary32))))))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 1/49 binary32))) x)) (neg.f32 (-.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))
(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))
(.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))) x)

simplify235.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

4074×	`-lowering-.f32`
4074×	`-lowering-.f64`
1926×	`+-lowering-+.f64`
1926×	`+-lowering-+.f32`
1458×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	158	2796
1	538	2386
2	1646	2318
3	5040	2285
0	8867	2285

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

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))))))))
(* 14/15 x)
(* x (- 14/15 (* 119/225 (/ 1 (pow x 2)))))
(* x (+ 14/15 (* -1 (/ (+ 119/225 (* 539/375 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 14/15 (* 46907/16875 (/ 1 (pow x 6)))) (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4)))))
(* 14/15 x)
(* -1 (* x (- (* 119/225 (/ 1 (pow x 2))) 14/15)))
(* -1 (* x (- (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4))) 14/15)))
(* -1 (* x (- (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4))) (+ 14/15 (* 46907/16875 (/ 1 (pow x 6)))))))
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)))))))
14/15
(- 14/15 (* 119/225 (/ 1 (pow x 2))))
(+ 14/15 (* -1 (/ (+ 119/225 (* 539/375 (/ 1 (pow x 2)))) (pow x 2))))
(- (+ 14/15 (* 46907/16875 (/ 1 (pow x 6)))) (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4))))
14/15
(- 14/15 (* 119/225 (/ 1 (pow x 2))))
(+ 14/15 (* -1 (/ (+ 119/225 (* 539/375 (/ 1 (pow x 2)))) (pow x 2))))
(- (+ 14/15 (* 46907/16875 (/ 1 (pow x 6)))) (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4))))
1
(+ 1 (* -1/9 (pow x 4)))
(+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9)))
(+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9)))
(* -2/15 (pow x 6))
(* -1 (* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))
(* -2/15 (pow x 6))
(* -1 (* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))
(* 1/9 (pow x 4))
(* (pow x 4) (+ 1/9 (* 2/15 (pow x 2))))
(* (pow x 4) (+ 1/9 (* 2/15 (pow x 2))))
(* (pow x 4) (+ 1/9 (* 2/15 (pow x 2))))
(* 2/15 (pow x 6))
(* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(* 2/15 (pow x 6))
(* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 2/15 (* 1/9 (/ 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 (* 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)))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 3) (+ 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)))))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (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)))))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* 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)))))
(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 (* (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)))))))
x
(* x (+ 1 (* 1/5 (pow x 4))))
(* x (+ 1 (* (pow x 4) (+ 1/5 (* 1/7 (pow x 2))))))
(* x (+ 1 (* (pow x 4) (+ 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 (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))
(* (pow x 7) (+ 1/7 (+ (* 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 (pow x 4))) (pow x 2))) 1/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (/ 1 (pow x 4))) (pow x 2))) 1/7)))
1
(+ 1 (* 1/5 (pow x 4)))
(+ 1 (* (pow x 4) (+ 1/5 (* 1/7 (pow x 2)))))
(+ 1 (* (pow x 4) (+ 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 (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/7 (+ (* 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 (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/7 (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 1/7 (pow x 2))))
(* (pow x 4) (+ 1/5 (* 1/7 (pow x 2))))
(* (pow x 4) (+ 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 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (* 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 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 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))))))))
(* 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)))))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 3) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* (pow x 3) (+ 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))))))
(* 1/7 (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 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* 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))))))
(* 1/3 x)
(* x (+ 1/3 (* 1/5 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* 1/7 (pow x 5))
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/7 (pow x 5))
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (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))
(* 1/3 (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))))))
(* 1/5 (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 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 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 (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 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))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/5 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)))))

Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32)))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))
(* 14/15 x)
(*.f32 x #s(literal 14/15 binary32))
(* x (- 14/15 (* 119/225 (/ 1 (pow x 2)))))
(-.f32 (.f32 x #s(literal 14/15 binary32)) (.f32 #s(literal 1 binary32) (/.f32 #s(literal 119/225 binary32) x)))
(* x (+ 14/15 (* -1 (/ (+ 119/225 (* 539/375 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f32 (.f32 x #s(literal 14/15 binary32)) (/.f32 (+.f32 #s(literal -119/225 binary32) (/.f32 #s(literal -539/375 binary32) (.f32 x x))) x))
(* x (- (+ 14/15 (* 46907/16875 (/ 1 (pow x 6)))) (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4)))))
(+.f32 (.f32 x (+.f32 (/.f32 #s(literal 46907/16875 binary32) (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x)))))) (+.f32 #s(literal 14/15 binary32) (/.f32 #s(literal -539/375 binary32) (.f32 x (.f32 x (.f32 x x))))))) (.f32 #s(literal 1 binary32) (/.f32 #s(literal -119/225 binary32) x)))
(* 14/15 x)
(*.f32 x #s(literal 14/15 binary32))
(* -1 (* x (- (* 119/225 (/ 1 (pow x 2))) 14/15)))
(-.f32 (.f32 x #s(literal 14/15 binary32)) (.f32 #s(literal 1 binary32) (/.f32 #s(literal 119/225 binary32) x)))
(* -1 (* x (- (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4))) 14/15)))
(+.f32 (.f32 x (+.f32 #s(literal 14/15 binary32) (/.f32 #s(literal -539/375 binary32) (.f32 x (.f32 x (.f32 x x)))))) (*.f32 #s(literal 1 binary32) (/.f32 #s(literal -119/225 binary32) x)))
(* -1 (* x (- (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4))) (+ 14/15 (* 46907/16875 (/ 1 (pow x 6)))))))
(+.f32 (.f32 x (+.f32 (/.f32 #s(literal 46907/16875 binary32) (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x)))))) (+.f32 #s(literal 14/15 binary32) (/.f32 #s(literal -539/375 binary32) (.f32 x (.f32 x (.f32 x x))))))) (.f32 #s(literal 1 binary32) (/.f32 #s(literal -119/225 binary32) x)))
1
#s(literal 1 binary32)
(+ 1 (* 1/3 (pow x 2)))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32))))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32))))))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))
14/15
#s(literal 14/15 binary32)
(- 14/15 (* 119/225 (/ 1 (pow x 2))))
(-.f32 #s(literal 14/15 binary32) (/.f32 #s(literal 119/225 binary32) (*.f32 x x)))
(+ 14/15 (* -1 (/ (+ 119/225 (* 539/375 (/ 1 (pow x 2)))) (pow x 2))))
(+.f32 #s(literal 14/15 binary32) (/.f32 (/.f32 (+.f32 #s(literal -119/225 binary32) (/.f32 #s(literal -539/375 binary32) (*.f32 x x))) x) x))
(- (+ 14/15 (* 46907/16875 (/ 1 (pow x 6)))) (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4))))
(+.f32 (/.f32 #s(literal 46907/16875 binary32) (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x)))))) (+.f32 (-.f32 #s(literal 14/15 binary32) (/.f32 #s(literal 119/225 binary32) (.f32 x x))) (/.f32 #s(literal -539/375 binary32) (.f32 x (.f32 x (*.f32 x x))))))
14/15
#s(literal 14/15 binary32)
(- 14/15 (* 119/225 (/ 1 (pow x 2))))
(-.f32 #s(literal 14/15 binary32) (/.f32 #s(literal 119/225 binary32) (*.f32 x x)))
(+ 14/15 (* -1 (/ (+ 119/225 (* 539/375 (/ 1 (pow x 2)))) (pow x 2))))
(+.f32 #s(literal 14/15 binary32) (/.f32 (/.f32 (+.f32 #s(literal -119/225 binary32) (/.f32 #s(literal -539/375 binary32) (*.f32 x x))) x) x))
(- (+ 14/15 (* 46907/16875 (/ 1 (pow x 6)))) (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4))))
(+.f32 (/.f32 #s(literal 46907/16875 binary32) (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x)))))) (+.f32 (-.f32 #s(literal 14/15 binary32) (/.f32 #s(literal 119/225 binary32) (.f32 x x))) (/.f32 #s(literal -539/375 binary32) (.f32 x (.f32 x (*.f32 x x))))))
1
#s(literal 1 binary32)
(+ 1 (* -1/9 (pow x 4)))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal -1/9 binary32)))
(+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9)))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal -1/9 binary32) (.f32 (.f32 x x) #s(literal -2/15 binary32)))))
(+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9)))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal -1/9 binary32) (.f32 (.f32 x x) #s(literal -2/15 binary32)))))
(* -2/15 (pow x 6))
(.f32 (.f32 x x) (.f32 #s(literal -2/15 binary32) (.f32 x (.f32 x (.f32 x x)))))
(* -1 (* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))
(.f32 (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x))))) (-.f32 #s(literal -2/15 binary32) (/.f32 #s(literal 1/9 binary32) (*.f32 x x))))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x))))) (-.f32 #s(literal -2/15 binary32) (/.f32 #s(literal 1/9 binary32) (*.f32 x x)))))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x))))) (-.f32 #s(literal -2/15 binary32) (/.f32 #s(literal 1/9 binary32) (*.f32 x x)))))
(* -2/15 (pow x 6))
(.f32 (.f32 x x) (.f32 #s(literal -2/15 binary32) (.f32 x (.f32 x (.f32 x x)))))
(* -1 (* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))
(.f32 (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x))))) (-.f32 #s(literal -2/15 binary32) (/.f32 #s(literal 1/9 binary32) (*.f32 x x))))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x))))) (-.f32 #s(literal -2/15 binary32) (/.f32 #s(literal 1/9 binary32) (*.f32 x x)))))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x))))) (-.f32 #s(literal -2/15 binary32) (/.f32 #s(literal 1/9 binary32) (*.f32 x x)))))
(* 1/9 (pow x 4))
(.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 1/9 binary32))
(* (pow x 4) (+ 1/9 (* 2/15 (pow x 2))))
(.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32))))
(* (pow x 4) (+ 1/9 (* 2/15 (pow x 2))))
(.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32))))
(* (pow x 4) (+ 1/9 (* 2/15 (pow x 2))))
(.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32))))
(* 2/15 (pow x 6))
(.f32 x (.f32 x (.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 2/15 binary32))))
(* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(.f32 (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x))))) (+.f32 #s(literal 2/15 binary32) (/.f32 #s(literal 1/9 binary32) (*.f32 x x))))
(* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(.f32 (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x))))) (+.f32 #s(literal 2/15 binary32) (/.f32 #s(literal 1/9 binary32) (*.f32 x x))))
(* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(.f32 (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x))))) (+.f32 #s(literal 2/15 binary32) (/.f32 #s(literal 1/9 binary32) (*.f32 x x))))
(* 2/15 (pow x 6))
(.f32 x (.f32 x (.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 2/15 binary32))))
(* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(.f32 (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x))))) (+.f32 #s(literal 2/15 binary32) (/.f32 #s(literal 1/9 binary32) (*.f32 x x))))
(* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(.f32 (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x))))) (+.f32 #s(literal 2/15 binary32) (/.f32 #s(literal 1/9 binary32) (*.f32 x x))))
(* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(.f32 (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x))))) (+.f32 #s(literal 2/15 binary32) (/.f32 #s(literal 1/9 binary32) (*.f32 x x))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32)))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32)))))))
(* 1/5 (pow x 5))
(.f32 x (.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x (*.f32 x x)))))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32)))))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32)))))))
(* 1/5 (pow x 5))
(.f32 x (.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x (*.f32 x x)))))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(.f32 (.f32 x (.f32 x (.f32 x (.f32 x x)))) (+.f32 #s(literal 1/5 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (*.f32 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(.f32 (.f32 x (.f32 x (.f32 x (.f32 x x)))) (+.f32 #s(literal 1/5 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (*.f32 x x))))
(* 1/3 (pow x 3))
(.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32))))
(* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))
(.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))
(.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))
(.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(* 1/5 (pow x 5))
(.f32 x (.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x (*.f32 x x)))))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(* 1/5 (pow x 5))
(.f32 x (.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x (*.f32 x x)))))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(* 1/3 (pow x 2))
(.f32 x (.f32 x #s(literal 1/3 binary32)))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))))
(* 1/5 (pow x 4))
(.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x (.f32 x x))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))))
(* 1/5 (pow x 4))
(.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x (.f32 x x))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))))
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(.f32 (.f32 x (.f32 x (.f32 x (.f32 x x)))) (+.f32 #s(literal 1/7 binary32) (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (*.f32 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(.f32 (.f32 x (.f32 x (.f32 x (.f32 x x)))) (+.f32 #s(literal 1/7 binary32) (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (*.f32 x x))))
(* 2/15 (pow x 2))
(.f32 (.f32 x x) #s(literal 2/15 binary32))
(* 2/15 (pow x 2))
(.f32 (.f32 x x) #s(literal 2/15 binary32))
(* 2/15 (pow x 2))
(.f32 (.f32 x x) #s(literal 2/15 binary32))
(* 2/15 (pow x 2))
(.f32 (.f32 x x) #s(literal 2/15 binary32))
(* 2/15 (pow x 2))
(.f32 (.f32 x x) #s(literal 2/15 binary32))
(* 2/15 (pow x 2))
(.f32 (.f32 x x) #s(literal 2/15 binary32))
(* 2/15 (pow x 2))
(.f32 (.f32 x x) #s(literal 2/15 binary32))
(* 2/15 (pow x 2))
(.f32 (.f32 x x) #s(literal 2/15 binary32))
(* 2/15 (pow x 2))
(.f32 (.f32 x x) #s(literal 2/15 binary32))
(* 2/15 (pow x 2))
(.f32 (.f32 x x) #s(literal 2/15 binary32))
(* 2/15 (pow x 2))
(.f32 (.f32 x x) #s(literal 2/15 binary32))
(* 2/15 (pow x 2))
(.f32 (.f32 x x) #s(literal 2/15 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/3 (pow x 2))
(.f32 x (.f32 x #s(literal 1/3 binary32)))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))
(* 1/7 (pow x 6))
(.f32 x (.f32 x (.f32 x (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x x))))))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x))))) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x))))) (+.f32 #s(literal 1/7 binary32) (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x)))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x))))) (+.f32 #s(literal 1/7 binary32) (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x)))))))
(* 1/7 (pow x 6))
(.f32 x (.f32 x (.f32 x (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x x))))))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x))))) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x))))) (+.f32 #s(literal 1/7 binary32) (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x)))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x))))) (+.f32 #s(literal 1/7 binary32) (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x)))))))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))
(* 1/7 (pow x 4))
(.f32 x (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))
(* 1/7 (pow x 4))
(.f32 x (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* 1/3 (pow x 2))
(.f32 x (.f32 x #s(literal 1/3 binary32)))
(* 1/3 (pow x 2))
(.f32 x (.f32 x #s(literal 1/3 binary32)))
(* 1/3 (pow x 2))
(.f32 x (.f32 x #s(literal 1/3 binary32)))
(* 1/3 (pow x 2))
(.f32 x (.f32 x #s(literal 1/3 binary32)))
(* 1/3 (pow x 2))
(.f32 x (.f32 x #s(literal 1/3 binary32)))
(* 1/3 (pow x 2))
(.f32 x (.f32 x #s(literal 1/3 binary32)))
(* 1/3 (pow x 2))
(.f32 x (.f32 x #s(literal 1/3 binary32)))
(* 1/3 (pow x 2))
(.f32 x (.f32 x #s(literal 1/3 binary32)))
(* 1/3 (pow x 2))
(.f32 x (.f32 x #s(literal 1/3 binary32)))
(* 1/3 (pow x 2))
(.f32 x (.f32 x #s(literal 1/3 binary32)))
(* 1/3 (pow x 2))
(.f32 x (.f32 x #s(literal 1/3 binary32)))
(* 1/3 (pow x 2))
(.f32 x (.f32 x #s(literal 1/3 binary32)))
(* 1/3 (pow x 3))
(.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32))))
(* 1/3 (pow x 3))
(.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32))))
(* 1/3 (pow x 3))
(.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32))))
(* 1/3 (pow x 3))
(.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32))))
(* 1/3 (pow x 3))
(.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32))))
(* 1/3 (pow x 3))
(.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32))))
(* 1/3 (pow x 3))
(.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32))))
(* 1/3 (pow x 3))
(.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32))))
(* 1/3 (pow x 3))
(.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32))))
(* 1/3 (pow x 3))
(.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32))))
(* 1/3 (pow x 3))
(.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32))))
(* 1/3 (pow x 3))
(.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32))))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))
(* 1/7 (pow x 3))
(.f32 #s(literal 1/7 binary32) (.f32 x (*.f32 x x)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))
(* 1/7 (pow x 3))
(.f32 #s(literal 1/7 binary32) (.f32 x (*.f32 x x)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))

eval167.0ms (1.9%)

Compiler: Compiled 57481 to 3422 computations (94% saved)

prune158.0ms (1.8%)

Pruning

16 alts after pruning (5 fresh and 11 done)

	Pruned	Kept	Total
New	1308	5	1313
Fresh	0	0	0
Picked	1	3	4
Done	0	8	8
Total	1309	16	1325

Accuracy

100.0%

Counts

1325 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(+.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))) (.f32 x (*.f32 x x))) x)
✓	98.5%	(+.f32 (.f32 (.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x)
✓	99.4%	(+.f32 (.f32 x (+.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 x (.f32 x (.f32 x x)))))) (.f32 x (.f32 (.f32 x x) #s(literal 1/3 binary32))))
✓	99.1%	(+.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x #s(literal 1/5 binary32)))))) x)
	99.4%	(.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32))))) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))) x)
	99.4%	(.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32)))) (.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32)))))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/9 binary32) (.f32 (*.f32 x x) #s(literal 2/15 binary32))))))))
	99.4%	(.f32 x (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32)))) (.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/9 binary32) (.f32 (*.f32 x x) #s(literal 2/15 binary32)))))))
✓	99.0%	(.f32 x (+.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (.f32 (.f32 x x) (.f32 x (*.f32 x #s(literal 1/5 binary32))))))
✓	99.3%	(.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (+.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))) #s(literal 1 binary32))))
✓	99.0%	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
	99.4%	(.f32 x (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 (-.f32 #s(literal 1/9 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 x x)) (-.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))))
✓	99.4%	(.f32 x (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))))
✓	99.4%	(.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32))))))
✓	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (.f32 x x)))))
✓	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
✓	96.6%	x

Compiler

Compiled 1319 to 387 computations (70.7% saved)

regimes33.0ms (0.4%)

Counts

25 → 1

Calls

Call 1

Inputs
x
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(+.f32 (.f32 (.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x)
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(+.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x #s(literal 1/5 binary32)))))) x)
(.f32 x (+.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (.f32 (.f32 x x) (.f32 x (*.f32 x #s(literal 1/5 binary32))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
(+.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) x)
(+.f32 (.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))) x) x)
(+.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))) (.f32 x (*.f32 x x))) x)
(.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (+.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))) #s(literal 1 binary32))))
(+.f32 (.f32 x (+.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 x (.f32 x (.f32 x x)))))) (.f32 x (.f32 (.f32 x x) #s(literal 1/3 binary32))))
(.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32))))) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))) x)
(.f32 x (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) x) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))
(.f32 x (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))))
(/.f32 (-.f32 (.f32 x x) (.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (-.f32 x (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
(.f32 x (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 (-.f32 #s(literal 1/9 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 x x)) (-.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))))
(.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32)))) (.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32)))))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/9 binary32) (.f32 (*.f32 x x) #s(literal 2/15 binary32))))))))
(.f32 x (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32)))) (.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/9 binary32) (.f32 (*.f32 x x) #s(literal 2/15 binary32)))))))
(.f32 x (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) (/.f32 (.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x)))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (.f32 x x)))))
(.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32))))))

Outputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))

Calls

4 calls:

8.0ms	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
7.0ms	x
7.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
7.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
99.8%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
99.8%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes12.0ms (0.1%)

Counts

22 → 1

Calls

Call 1

Inputs
x
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(+.f32 (.f32 (.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x)
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(+.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x #s(literal 1/5 binary32)))))) x)
(.f32 x (+.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (.f32 (.f32 x x) (.f32 x (*.f32 x #s(literal 1/5 binary32))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
(+.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) x)
(+.f32 (.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))) x) x)
(+.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))) (.f32 x (*.f32 x x))) x)
(.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (+.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))) #s(literal 1 binary32))))
(+.f32 (.f32 x (+.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 x (.f32 x (.f32 x x)))))) (.f32 x (.f32 (.f32 x x) #s(literal 1/3 binary32))))
(.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32))))) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))) x)
(.f32 x (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) x) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))
(.f32 x (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))))
(/.f32 (-.f32 (.f32 x x) (.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (-.f32 x (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
(.f32 x (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 (-.f32 #s(literal 1/9 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 x x)) (-.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))))
(.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32)))) (.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32)))))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/9 binary32) (.f32 (*.f32 x x) #s(literal 2/15 binary32))))))))
(.f32 x (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32)))) (.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/9 binary32) (.f32 (*.f32 x x) #s(literal 2/15 binary32)))))))
(.f32 x (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) (/.f32 (.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x)))

Outputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x)))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
99.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

Counts

21 → 1

Calls

Call 1

Inputs
x
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(+.f32 (.f32 (.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x)
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(+.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x #s(literal 1/5 binary32)))))) x)
(.f32 x (+.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (.f32 (.f32 x x) (.f32 x (*.f32 x #s(literal 1/5 binary32))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
(+.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) x)
(+.f32 (.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))) x) x)
(+.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))) (.f32 x (*.f32 x x))) x)
(.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (+.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))) #s(literal 1 binary32))))
(+.f32 (.f32 x (+.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 x (.f32 x (.f32 x x)))))) (.f32 x (.f32 (.f32 x x) #s(literal 1/3 binary32))))
(.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32))))) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))) x)
(.f32 x (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) x) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))
(.f32 x (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))))
(/.f32 (-.f32 (.f32 x x) (.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (-.f32 x (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
(.f32 x (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 (-.f32 #s(literal 1/9 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 x x)) (-.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))))
(.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32)))) (.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32)))))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/9 binary32) (.f32 (*.f32 x x) #s(literal 2/15 binary32))))))))
(.f32 x (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32)))) (.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/9 binary32) (.f32 (*.f32 x x) #s(literal 2/15 binary32)))))))
(.f32 x (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) (/.f32 (.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))))

Outputs

(*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32))))))))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
99.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts

18 → 1

Calls

Call 1

Inputs
x
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(+.f32 (.f32 (.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x)
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(+.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x #s(literal 1/5 binary32)))))) x)
(.f32 x (+.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (.f32 (.f32 x x) (.f32 x (*.f32 x #s(literal 1/5 binary32))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
(+.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) x)
(+.f32 (.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))) x) x)
(+.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))) (.f32 x (*.f32 x x))) x)
(.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (+.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))) #s(literal 1 binary32))))
(+.f32 (.f32 x (+.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 x (.f32 x (.f32 x x)))))) (.f32 x (.f32 (.f32 x x) #s(literal 1/3 binary32))))
(.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32))))) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))) x)
(.f32 x (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) x) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))
(.f32 x (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))))
(/.f32 (-.f32 (.f32 x x) (.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (-.f32 x (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
(.f32 x (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 (-.f32 #s(literal 1/9 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 x x)) (-.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))))

Outputs

(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32))))) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))) x)

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
99.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

12 → 1

Calls

Call 1

Inputs
x
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(+.f32 (.f32 (.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x)
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(+.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x #s(literal 1/5 binary32)))))) x)
(.f32 x (+.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (.f32 (.f32 x x) (.f32 x (*.f32 x #s(literal 1/5 binary32))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
(+.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) x)
(+.f32 (.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))) x) x)
(+.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))) (.f32 x (*.f32 x x))) x)
(.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (+.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))) #s(literal 1 binary32))))
(+.f32 (.f32 x (+.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 x (.f32 x (.f32 x x)))))) (.f32 x (.f32 (.f32 x x) #s(literal 1/3 binary32))))

Outputs
(+.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))) (.f32 x (*.f32 x x))) x)

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

9 → 1

Calls

Call 1

Inputs
x
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(+.f32 (.f32 (.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x)
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(+.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x #s(literal 1/5 binary32)))))) x)
(.f32 x (+.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (.f32 (.f32 x x) (.f32 x (*.f32 x #s(literal 1/5 binary32))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
(+.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) x)
(+.f32 (.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))) x) x)

Outputs
(+.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) x)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

7 → 1

Calls

Call 1

Inputs
x
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(+.f32 (.f32 (.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x)
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(+.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x #s(literal 1/5 binary32)))))) x)
(.f32 x (+.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (.f32 (.f32 x x) (.f32 x (*.f32 x #s(literal 1/5 binary32))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))

Outputs
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

6 → 1

Calls

Call 1

Inputs
x
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(+.f32 (.f32 (.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x)
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(+.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x #s(literal 1/5 binary32)))))) x)
(.f32 x (+.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (.f32 (.f32 x x) (.f32 x (*.f32 x #s(literal 1/5 binary32))))))

Outputs
(+.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x #s(literal 1/5 binary32)))))) x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

4 → 1

Calls

Call 1

Inputs
x
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(+.f32 (.f32 (.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x)
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))

Outputs
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs
x
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(+.f32 (.f32 (.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x)

Outputs
(+.f32 (.f32 (.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
x
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))

Outputs
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
98.5%	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
96.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify21.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

104×	`*-commutative_binary32`
74×	`+-commutative_binary32`
46×	`sub-neg_binary32`
38×	`neg-sub0_binary32`
38×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	244
1	133	244
2	164	244
3	194	244
4	226	244
5	250	244
6	266	244
7	282	244
8	289	244
9	293	244
10	294	244

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x)))
(.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32)))) (.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32)))))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/9 binary32) (.f32 (*.f32 x x) #s(literal 2/15 binary32))))))))
(.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32))))) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))) x)
(+.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))) (.f32 x (*.f32 x x))) x)
(+.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) x)
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
(+.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x #s(literal 1/5 binary32)))))) x)
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(+.f32 (.f32 (.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x)
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
x

Outputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x)))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))
(.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32)))) (.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32)))))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/9 binary32) (.f32 (*.f32 x x) #s(literal 2/15 binary32))))))))
(.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32))))) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))) x)
(.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32))))) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))))
(+.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))) (.f32 x (*.f32 x x))) x)
(+.f32 x (.f32 (.f32 x (.f32 x x)) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))
(+.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) x)
(+.f32 x (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
(+.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x #s(literal 1/5 binary32)))))) x)
(+.f32 x (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x #s(literal 1/5 binary32)))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(+.f32 (.f32 (.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x)
(+.f32 x (.f32 (.f32 x x) (*.f32 x #s(literal 1/3 binary32))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (*.f32 x x) #s(literal 1/3 binary32))))
x

soundness2.4s (26.4%)

Rules

3828×	`-lowering-.f32`
3828×	`-lowering-.f64`
3820×	`+-lowering-+.f64`
3820×	`+-lowering-+.f32`
3804×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	342	2716
1	1053	2325
2	2936	2279
0	8268	2279
0	32	188
1	214	165
2	2050	162
0	8338	162
0	106	394
1	331	345
2	992	334
3	2914	331
4	5296	331
0	8411	331
0	48	276
1	350	250
2	3566	238
0	8656	238
0	43	290
1	306	254
2	2708	245
0	8207	245
0	10	28
1	50	28
2	419	28
3	6064	28
0	8334	28

Stop Event

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

Compiler

Compiled 537 to 249 computations (53.6% saved)

preprocess49.0ms (0.5%)

Compiler: Compiled 512 to 154 computations (69.9% 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	68	244
1	133	244
2	164	244
3	194	244
4	226	244
5	250	244
6	266	244
7	282	244
8	289	244
9	293	244
10	294	244

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	68	244
1	133	244
2	164	244
3	194	244
4	226	244
5	250	244
6	266	244
7	282	244
8	289	244
9	293	244
10	294	244

analyze2.0ms (0%)

sample407.0ms (4.5%)

preprocess31.0ms (0.3%)

explain179.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify27.0ms (0.3%)

localize85.0ms (0.9%)

series4.0ms (0%)

rewrite224.0ms (2.5%)

simplify209.0ms (2.3%)

eval14.0ms (0.2%)

prune34.0ms (0.4%)

simplify172.0ms (1.9%)

localize342.0ms (3.8%)

series14.0ms (0.2%)

rewrite423.0ms (4.7%)

simplify290.0ms (3.2%)

eval137.0ms (1.5%)

prune119.0ms (1.3%)

simplify206.0ms (2.3%)

localize764.0ms (8.5%)

series19.0ms (0.2%)

rewrite380.0ms (4.2%)

simplify279.0ms (3.1%)

eval198.0ms (2.2%)

prune119.0ms (1.3%)

simplify208.0ms (2.3%)

localize323.0ms (3.6%)

series13.0ms (0.1%)

rewrite689.0ms (7.7%)

simplify235.0ms (2.6%)

eval167.0ms (1.9%)

prune158.0ms (1.8%)

regimes33.0ms (0.4%)

regimes12.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify21.0ms (0.2%)

soundness2.4s (26.4%)

preprocess49.0ms (0.5%)

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

Iter	Nodes	Cost
0	68	244
1	133	244
2	164	244
3	194	244
4	226	244
5	250	244
6	266	244
7	282	244
8	289	244
9	293	244
10	294	244