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)

sample439.0ms (5.1%)

Results

336.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 109.0ms

ival-atanh: 99.0ms (90.6% of total)

const: 7.0ms (6.4% of total)

backward-pass: 3.0ms (2.7% of total)

Bogosity

preprocess43.0ms (0.5%)

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)))

explain163.0ms (1.9%)

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

97.0ms	310×	1	valid
26.0ms	202×	0	valid

Compiler

Compiled 85 to 29 computations (65.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

compiled-spec: 35.0ms (34.7% of total)

ival-log: 24.0ms (23.8% of total)

ival-mult: 12.0ms (11.9% of total)

backward-pass: 11.0ms (10.9% of total)

ival-div: 8.0ms (7.9% of total)

ival-add: 5.0ms (5% of total)

ival-sub: 5.0ms (5% of total)

const: 2.0ms (2% 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
▶	99.9%	(.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)

simplify37.0ms (0.4%)

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)

localize79.0ms (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	100.0%	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
✓	accuracy	99.9%	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))

Results

46.0ms	155×	1	valid
19.0ms	101×	0	valid

Compiler

Compiled 37 to 10 computations (73% saved)

Precisions

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

compiled-spec: 17.0ms (33% of total)

ival-log: 8.0ms (15.5% of total)

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

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

backward-pass: 5.0ms (9.7% of total)

ival-sub: 4.0ms (7.8% of total)

ival-div: 3.0ms (5.8% of total)

const: 1.0ms (1.9% of total)

series4.0ms (0.1%)

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite223.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1780×	`+-lowering-+.f64`
1780×	`+-lowering-+.f32`
1478×	`-lowering-.f32`
1478×	`-lowering-.f64`
1352×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	27	28
2	89	28
3	383	25
4	1790	25
5	6095	25
0	8243	25

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 179

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

simplify255.0ms (3%)

Algorithm

1×	egg-herbie

Rules

2120×	`-lowering-.f32`
2120×	`-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	2911	331
4	5279	331
0	8393	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 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 (.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 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) (/.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 (.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 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 (.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 #s(literal 2/3 binary32) (.f32 x (.f32 x x))) (+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x)) (/.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 #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 x (+.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (*.f32 x #s(literal 2 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 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) x))
(- (* -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 #s(literal -1 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 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) x))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (.f32 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))

eval33.0ms (0.4%)

Compiler: Compiled 3460 to 877 computations (74.7% saved)

prune110.0ms (1.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	222	5	227
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	222	6	228

Accuracy

100.0%

Counts

228 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(.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))))))
▶	99.5%	(.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)))))))))
▶	98.9%	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))
✓	99.9%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
▶	19.8%	(*.f32 #s(literal 1/2 binary32) (log.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) x))))))
▶	97.6%	x

Compiler

Compiled 137 to 95 computations (30.7% saved)

simplify149.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

2084×	`sum4-define`
1994×	`fma-define`
1910×	`-lowering-.f32`
1910×	`-lowering-.f64`
1450×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	218
1	97	193
2	304	185
3	834	185
4	1742	185
5	2966	185
6	3669	185
0	8953	185

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize358.0ms (4.2%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) x))))
✓	accuracy	100.0%	(-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) x))
✓	accuracy	99.5%	(/.f32 #s(literal -2 binary32) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) x)))
✓	accuracy	19.6%	(log.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) x)))))
✓	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	99.4%	(.f32 (.f32 x x) #s(literal 1/5 binary32))
✓	accuracy	99.4%	(.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 x (.f32 x #s(literal 1/3 binary32))))
✓	accuracy	99.9%	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))
✓	accuracy	99.7%	(.f32 x (.f32 x #s(literal 1/3 binary32)))
✓	accuracy	99.0%	(*.f32 x #s(literal 1/3 binary32))
✓	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	99.4%	(.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	99.2%	(.f32 (.f32 x x) #s(literal 1/7 binary32))

Results

186.0ms	144×	1	valid
51.0ms	112×	0	valid

Compiler

Compiled 249 to 33 computations (86.7% saved)

Precisions

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

ival-mult: 62.0ms (45.7% of total)

backward-pass: 21.0ms (15.5% of total)

...c/correct-round.rkt:119:19: 17.0ms (12.5% of total)

ival-log: 13.0ms (9.6% of total)

ival-add: 11.0ms (8.1% of total)

ival-div: 6.0ms (4.4% of total)

ival-sub: 4.0ms (2.9% of total)

const: 1.0ms (0.7% of total)

series23.0ms (0.3%)

Counts

21 → 252

Calls

Call 1

Inputs
#<alt (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))))>
#<alt (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))))>
#<alt (* (* x x) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))>
#<alt (* x x)>
#<alt (* x (+ 1 (* x (* x 1/3))))>
#<alt (+ 1 (* x (* x 1/3)))>
#<alt (* x (* x 1/3))>
#<alt (* x 1/3)>
#<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 (log (- 1 (/ -2 (- -1 (/ -1 x)))))>
#<alt (* 1/2 (log (- 1 (/ -2 (- -1 (/ -1 x))))))>
#<alt (- 1 (/ -2 (- -1 (/ -1 x))))>
#<alt (/ -2 (- -1 (/ -1 x)))>
#<alt (* (* x x) 1/7)>
#<alt (* x (+ 1/5 (* (* x x) 1/7)))>
#<alt (* x (* x (+ 1/5 (* (* x x) 1/7))))>
#<alt (* (* x x) 1/5)>
#<alt (+ 1/3 (* (* x x) 1/5))>
#<alt (- -1 (/ -1 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 (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))>
#<alt 1>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 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 (* 1/3 (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 (* 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 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 1>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* x (+ 2 (* 2 x))))>
#<alt (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)>
#<alt (* -2 x)>
#<alt (* x (- (* -2 x) 2))>
#<alt (* x (- (* x (- (* -2 x) 2)) 2))>
#<alt (* x (- (* x (- (* x (- (* -2 x) 2)) 2)) 2))>
#<alt 2>
#<alt (+ 2 (* 2 (/ 1 x)))>
#<alt (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))>
#<alt (+ 2 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))>
#<alt 2>
#<alt (+ 2 (* 2 (/ 1 x)))>
#<alt (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))>
#<alt (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 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)))))>
#<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 x)>
#<alt (/ (+ 1 (* -1 x)) x)>
#<alt (/ (+ 1 (* -1 x)) x)>
#<alt (/ (+ 1 (* -1 x)) x)>
#<alt -1>
#<alt (- (/ 1 x) 1)>
#<alt (- (/ 1 x) 1)>
#<alt (- (/ 1 x) 1)>
#<alt -1>
#<alt (- (/ 1 x) 1)>
#<alt (- (/ 1 x) 1)>
#<alt (- (/ 1 x) 1)>

Calls

63 calls:

Time	Variable		Point	Expression
11.0ms	x	@	inf	(* x 1/3)
1.0ms	x	@	0	(* (* x x) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))
0.0ms	x	@	inf	(* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))))
0.0ms	x	@	inf	(* (* x x) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))
0.0ms	x	@	0	(* x (+ 1 (* x (* x 1/3))))

rewrite247.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2216×	`-lowering-.f32`
2216×	`-lowering-.f64`
1708×	`/-lowering-/.f32`
1708×	`/-lowering-/.f64`
1090×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	178
1	113	151
2	387	148
3	1123	148
4	2993	148
0	8243	148

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 791

Calls

Call 1

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

Outputs
(neg.f32 (/.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 x (.f32 x #s(literal 1/7 binary32))))))))) (/.f32 #s(literal -1 binary32) x)))
(neg.f32 (.f32 (/.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 x (*.f32 x #s(literal 1/7 binary32))))))))) (/.f32 #s(literal -1 binary32) x)) #s(literal 1 binary32)))
(neg.f32 (.f32 x (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 x (*.f32 x #s(literal 1/7 binary32))))))))))))
(neg.f32 (.f32 #s(literal 1 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 x (*.f32 x #s(literal 1/7 binary32))))))))) (/.f32 #s(literal -1 binary32) x))))
(neg.f32 (.f32 (.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 x (.f32 x #s(literal 1/7 binary32))))))))) #s(literal -1 binary32)) x))
(neg.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (/.f32 #s(literal -1 binary32) x)) (neg.f32 (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (.f32 x (.f32 (.f32 x x) (*.f32 x x)))))))
(neg.f32 (+.f32 (/.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (/.f32 #s(literal -1 binary32) x)) (neg.f32 (.f32 x (+.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (.f32 (.f32 x x) (*.f32 x x))))))))
(neg.f32 (+.f32 (neg.f32 (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32)))))))))) (neg.f32 x)))
(neg.f32 (+.f32 (neg.f32 (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (.f32 x (.f32 (.f32 x x) (.f32 x x))))) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))) (/.f32 #s(literal -1 binary32) x))))
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(neg.f32 (*.f32 (/.f32 x (/.f32 #s(literal -1 binary32) x)) #s(literal 1/5 binary32)))
(neg.f32 (.f32 (/.f32 (.f32 x #s(literal 1/5 binary32)) (/.f32 #s(literal -1 binary32) x)) #s(literal 1 binary32)))
(neg.f32 (*.f32 (/.f32 #s(literal 1/5 binary32) (/.f32 #s(literal -1 binary32) x)) x))
(neg.f32 (*.f32 x (/.f32 #s(literal 1/5 binary32) (/.f32 #s(literal -1 binary32) x))))
(neg.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 x #s(literal 1/5 binary32)) (/.f32 #s(literal -1 binary32) x))))
(neg.f32 (*.f32 #s(literal 1/5 binary32) (/.f32 x (/.f32 #s(literal -1 binary32) x))))
(neg.f32 (/.f32 (/.f32 (*.f32 x #s(literal 1/5 binary32)) (/.f32 #s(literal -1 binary32) x)) #s(literal 1 binary32)))
(neg.f32 (/.f32 (/.f32 #s(literal 1/5 binary32) (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 1 binary32) x)))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 x #s(literal 1/5 binary32)) (/.f32 #s(literal -1 binary32) x)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/5 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal 1/5 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (/.f32 (*.f32 x #s(literal 1/5 binary32)) (/.f32 #s(literal -1 binary32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) x) (/.f32 #s(literal 1/5 binary32) (/.f32 #s(literal -1 binary32) x))))
(/.f32 #s(literal 1/5 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x))
(/.f32 (.f32 x (.f32 x #s(literal 1/5 binary32))) #s(literal 1 binary32))
(/.f32 (*.f32 x #s(literal 1/5 binary32)) (/.f32 #s(literal 1 binary32) x))
(/.f32 (/.f32 #s(literal 1/5 binary32) (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal -1 binary32) x))
(/.f32 (/.f32 (*.f32 x #s(literal 1/5 binary32)) (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32))
(.f32 x (.f32 x #s(literal 1/5 binary32)))
(.f32 #s(literal 1 binary32) (.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 (*.f32 x #s(literal 1/5 binary32))) #s(literal 1 binary32))
(.f32 #s(literal -1 binary32) (/.f32 (.f32 x #s(literal 1/5 binary32)) (/.f32 #s(literal -1 binary32) x)))
(*.f32 (neg.f32 x) (/.f32 #s(literal 1/5 binary32) (/.f32 #s(literal -1 binary32) x)))
(.f32 (.f32 x #s(literal 1/5 binary32)) x)
(*.f32 (/.f32 #s(literal 1/5 binary32) (/.f32 #s(literal -1 binary32) x)) (neg.f32 x))
(.f32 (/.f32 (.f32 x #s(literal 1/5 binary32)) (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32))
(+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x #s(literal 1/5 binary32))))
(+.f32 (.f32 x (.f32 x #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(fma.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
(fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))
(fma.f32 (.f32 x (.f32 x #s(literal 1/5 binary32))) #s(literal 1 binary32) #s(literal 1/3 binary32))
(fma.f32 (*.f32 x #s(literal 1/5 binary32)) x #s(literal 1/3 binary32))
(-.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 x #s(literal 1/5 binary32)) (/.f32 #s(literal -1 binary32) x)))
(.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x #s(literal 1/5 binary32)))))
(.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x #s(literal 1/5 binary32)))) #s(literal 1 binary32))
(neg.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)))
(exp.f32 (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) x))))
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) x))
(+.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) x)))
(+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))
(pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) x))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))
(fma.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32) #s(literal -1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32) #s(literal -1 binary32))
(-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) x))
(-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)))
(-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) x))))
(/.f32 #s(literal -1 binary32) (/.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) x)) #s(literal 1 binary32))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)) (exp.f32 (log.f32 #s(literal -1 binary32))))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) 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) x)) #s(literal 1 binary32))
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32))
(*.f32 (exp.f32 (log.f32 #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)))
(expm1.f32 (-.f32 #s(literal 0 binary32) (log.f32 x)))

simplify305.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

4740×	`-lowering-.f32`
4740×	`-lowering-.f64`
1772×	`/-lowering-/.f32`
1772×	`/-lowering-/.f64`
1598×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	188	2036
1	618	1695
2	1827	1664
3	7510	1663
0	8015	1663

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* 1/3 (pow x 2)))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 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)))))
(* 1/3 (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)))))
(* 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)))
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)))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(* -2 x)
(* x (- (* -2 x) 2))
(* x (- (* x (- (* -2 x) 2)) 2))
(* x (- (* x (- (* x (- (* -2 x) 2)) 2)) 2))
2
(+ 2 (* 2 (/ 1 x)))
(+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(+ 2 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))
2
(+ 2 (* 2 (/ 1 x)))
(+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 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)))))
(* 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 x)
(/ (+ 1 (* -1 x)) x)
(/ (+ 1 (* -1 x)) x)
(/ (+ 1 (* -1 x)) x)
-1
(- (/ 1 x) 1)
(- (/ 1 x) 1)
(- (/ 1 x) 1)
-1
(- (/ 1 x) 1)
(- (/ 1 x) 1)
(- (/ 1 x) 1)

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

eval103.0ms (1.2%)

Compiler: Compiled 22295 to 3525 computations (84.2% saved)

prune323.0ms (3.7%)

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	1188	8	1196
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	1189	13	1202

Accuracy

100.0%

Counts

1202 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.5%	(/.f32 (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
	99.0%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) 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))))))))
▶	99.2%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) 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 x (.f32 x #s(literal 1/7 binary32)))))))))))
	98.5%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32))))))
▶	98.5%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))))
▶	99.4%	(+.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x #s(literal 1/5 binary32)))) (.f32 x (*.f32 x x))) x)
▶	98.9%	(+.f32 (.f32 (.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x)
▶	99.6%	(+.f32 (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32))))))))) x)
✓	99.3%	(.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))))))
✓	99.5%	(.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)))))))))
✓	98.9%	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))
✓	99.9%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
✓	97.6%	x

Compiler

Compiled 329 to 215 computations (34.7% saved)

simplify218.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

1978×	`fma-define`
1752×	`fma-lowering-fma.f32`
1752×	`fma-lowering-fma.f64`
988×	`times-frac`
708×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	320
1	102	282
2	265	279
3	792	279
4	1937	279
5	2624	279
6	2937	279
7	3011	279
8	3021	279
9	3023	279
10	3529	279
11	3529	279
0	3529	279

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize223.0ms (2.6%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) 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 x (.f32 x #s(literal 1/7 binary32)))))))))))
✓	accuracy	99.4%	(.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))
✓	accuracy	99.0%	(.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32)))))))
✓	accuracy	98.3%	(*.f32 x #s(literal 1/7 binary32))
✓	accuracy	99.8%	(.f32 x (.f32 x x))
✓	accuracy	99.7%	(.f32 x (.f32 x #s(literal 1/5 binary32)))
✓	accuracy	99.7%	(.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x #s(literal 1/5 binary32)))) (.f32 x (*.f32 x x)))
✓	accuracy	99.4%	(*.f32 x #s(literal 1/5 binary32))
✓	accuracy	99.9%	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))
✓	accuracy	99.7%	(.f32 x (.f32 x #s(literal 1/3 binary32)))
✓	accuracy	99.6%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))))
✓	accuracy	99.0%	(*.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	99.8%	(.f32 (.f32 x x) (*.f32 x #s(literal 1/3 binary32)))
✓	accuracy	99.0%	(*.f32 x #s(literal 1/3 binary32))
✓	accuracy	99.7%	(.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))))
✓	accuracy	99.4%	(.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))
✓	accuracy	99.0%	(.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32)))))))
✓	accuracy	98.3%	(*.f32 x #s(literal 1/7 binary32))

Results

133.0ms

256×

valid

Compiler

Compiled 398 to 34 computations (91.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 24.0ms (45.6% of total)

...c/correct-round.rkt:119:19: 11.0ms (20.9% of total)

ival-div: 9.0ms (17.1% of total)

ival-add: 9.0ms (17.1% of total)

const: 0.0ms (0% of total)

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

series48.0ms (0.6%)

Counts

25 → 300

Calls

Call 1

Inputs
#<alt (+ (* x (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))) x)>
#<alt (* x (* 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 (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))>
#<alt (+ (* (* x x) (* x 1/3)) x)>
#<alt (* (* x x) (* x 1/3))>
#<alt (* x x)>
#<alt (* x 1/3)>
#<alt (/ 1 (/ 1 (* x (+ 1 (* x (* x 1/3))))))>
#<alt (/ 1 (* x (+ 1 (* x (* x 1/3)))))>
#<alt (* x (+ 1 (* x (* x 1/3))))>
#<alt (+ 1 (* x (* x 1/3)))>
#<alt (+ (* (+ 1/3 (* x (* x 1/5))) (* x (* x x))) x)>
#<alt (* (+ 1/3 (* x (* x 1/5))) (* x (* x x)))>
#<alt (+ 1/3 (* x (* x 1/5)))>
#<alt (* x (* x 1/5))>
#<alt (/ 1 (/ (/ 1 x) (+ 1 (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))))>
#<alt (/ (/ 1 x) (+ 1 (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7)))))))))>
#<alt (/ 1 x)>
#<alt (+ 1 (* x (* x (+ 1/3 (* (* x x) (+ 1/5 (* x (* x 1/7))))))))>
#<alt (* x 1/7)>
#<alt (* (* x x) (+ 1/5 (* x (* x 1/7))))>
#<alt (* x (* x 1/3))>
#<alt (* x 1/5)>
#<alt (* x (* x 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 (* 1/7 (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 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 (* 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 x)>
#<alt (/ (+ 1 (* -1/3 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* 1/9 (pow x 2)) 1/3))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/9 (* -1/27 (pow x 2)))) 1/3))) x)>
#<alt (/ 3 (pow x 3))>
#<alt (/ (- 3 (* 9 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (/ (- (+ 3 (/ 27 (pow x 4))) (* 9 (/ 1 (pow x 2)))) (pow x 3))>
#<alt (/ (- (+ 3 (/ 27 (pow x 4))) (+ (* 9 (/ 1 (pow x 2))) (* 81 (/ 1 (pow x 6))))) (pow x 3))>
#<alt (/ 3 (pow x 3))>
#<alt (* -1 (/ (- (* 9 (/ 1 (pow x 2))) 3) (pow x 3)))>
#<alt (* -1 (/ (- (* 9 (/ 1 (pow x 2))) (+ 3 (/ 27 (pow x 4)))) (pow x 3)))>
#<alt (* -1 (/ (- (+ (* 9 (/ 1 (pow x 2))) (* 81 (/ 1 (pow x 6)))) (+ 3 (/ 27 (pow x 4)))) (pow x 3)))>
#<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 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>
#<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 (* 1/5 (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 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 x)>
#<alt (/ (+ 1 (* -1/3 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3))) x)>
#<alt (/ 7 (pow x 7))>
#<alt (/ (- 7 (* 49/5 (/ 1 (pow x 2)))) (pow x 7))>
#<alt (/ (+ 7 (* -1 (/ (+ 49/5 (* 196/75 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 7))>
#<alt (/ (- (+ 7 (* -1 (/ (+ 196/75 (* 8428/375 (/ 1 (pow x 2)))) (pow x 4)))) (* 49/5 (/ 1 (pow x 2)))) (pow x 7))>
#<alt (/ 7 (pow x 7))>
#<alt (* -1 (/ (- (* 49/5 (/ 1 (pow x 2))) 7) (pow x 7)))>
#<alt (* -1 (/ (- (+ (* 49/5 (/ 1 (pow x 2))) (/ 196/75 (pow x 4))) 7) (pow x 7)))>
#<alt (* -1 (/ (- (+ (* 49/5 (/ 1 (pow x 2))) (+ (* 8428/375 (/ 1 (pow x 6))) (/ 196/75 (pow x 4)))) 7) (pow x 7)))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt 1>
#<alt (+ 1 (* 1/3 (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 (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/5 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 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 (* 1/5 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 (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)>

Calls

75 calls:

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

rewrite390.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2636×	`-lowering-.f32`
2636×	`-lowering-.f64`
2136×	`+-lowering-+.f64`
2136×	`+-lowering-+.f32`
2088×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	213
1	137	186
2	500	183
3	2020	183
0	8457	183

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 1532

Calls

Call 1

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

Outputs
(neg.f32 (.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 x (*.f32 x #s(literal 1/7 binary32)))))))))))
(exp.f32 (log.f32 (.f32 x (+.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32)))))))) #s(literal 1 binary32)))))
(exp.f32 (.f32 (log.f32 (.f32 x (+.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))) #s(literal 1 binary32)))) #s(literal 1 binary32)))
(+.f32 x (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))) (.f32 x (*.f32 x x))))
(+.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))) (.f32 x (*.f32 x x))) x)
(+.f32 (.f32 (.f32 x x) (.f32 x #s(literal 1/3 binary32))) (+.f32 (.f32 (.f32 x x) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (.f32 x (.f32 x x)))) x))
(+.f32 (.f32 (.f32 x x) (.f32 x #s(literal 1/3 binary32))) (.f32 x (+.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))) #s(literal 1 binary32))))
(+.f32 (.f32 (.f32 x x) (.f32 x #s(literal 1/3 binary32))) (.f32 #s(literal 1 binary32) (+.f32 (.f32 (.f32 x x) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (.f32 x (*.f32 x x)))) x)))
(+.f32 (.f32 (.f32 x x) (.f32 x #s(literal 1/3 binary32))) (.f32 (+.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))) #s(literal 1 binary32)) x))
(+.f32 (.f32 (.f32 x x) (.f32 x #s(literal 1/3 binary32))) (.f32 (+.f32 (.f32 (.f32 x x) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (.f32 x (*.f32 x x)))) x) #s(literal 1 binary32)))
(+.f32 #s(literal 0 binary32) (.f32 x (+.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32)))))))) #s(literal 1 binary32))))
(+.f32 (.f32 (.f32 x x) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (.f32 x (.f32 x x)))) (.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32))))))
(+.f32 (.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32))))) (.f32 (.f32 x x) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (.f32 x (.f32 x x)))))
(+.f32 (.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32))))) (.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (.f32 x (*.f32 x x))))))
(+.f32 (.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32))))) (.f32 (.f32 (.f32 x x) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (.f32 x (*.f32 x x)))) #s(literal 1 binary32)))
(+.f32 (.f32 #s(literal 0 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 x (.f32 x #s(literal 1/7 binary32)))))))))) (.f32 x (+.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))) #s(literal 1 binary32))))
(+.f32 (.f32 (neg.f32 x) #s(literal 0 binary32)) (.f32 x (+.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))) #s(literal 1 binary32))))
(+.f32 (.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))) (.f32 (.f32 x x) (.f32 x #s(literal 1/3 binary32))))
(+.f32 (.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 x (.f32 x #s(literal 1/7 binary32))))))))) #s(literal 0 binary32)) (.f32 x (+.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))) #s(literal 1 binary32))))
(+.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) x) (.f32 (.f32 x x) (.f32 x #s(literal 1/3 binary32))))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))) #s(literal 1 binary32))) #s(literal -1 binary32))
(pow.f32 (.f32 x (+.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32)))))))) #s(literal 1 binary32))) #s(literal 1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (.f32 x (+.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32)))))))) #s(literal 1 binary32))))))
(fma.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))) x)
(fma.f32 x #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))) (.f32 x (*.f32 x x))))
(fma.f32 x (.f32 x (.f32 x #s(literal 1/3 binary32))) (+.f32 (.f32 (.f32 x x) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (.f32 x (*.f32 x x)))) x))
(fma.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (.f32 (.f32 x x) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (.f32 x (*.f32 x x)))))
(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) (+.f32 (.f32 (.f32 x x) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (.f32 x (*.f32 x x)))) x))
(fma.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) x)
(fma.f32 (.f32 x x) (.f32 x #s(literal 1/3 binary32)) (+.f32 (.f32 (.f32 x x) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (.f32 x (*.f32 x x)))) x))
(fma.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))) (.f32 x (.f32 x x)) x)
(fma.f32 (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (.f32 x x) x)
(fma.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))) x x)
(fma.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))) (.f32 x (*.f32 x x))) #s(literal 1 binary32) x)
(fma.f32 (.f32 x #s(literal 1/3 binary32)) (.f32 x x) (+.f32 (.f32 (.f32 x x) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (.f32 x (*.f32 x x)))) x))
(fma.f32 (.f32 (.f32 x x) (.f32 x #s(literal 1/3 binary32))) #s(literal 1 binary32) (+.f32 (.f32 (.f32 x x) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (.f32 x (.f32 x x)))) x))
(fma.f32 #s(literal 1 binary32) x (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))) (.f32 x (*.f32 x x))))
(fma.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))) (.f32 x (*.f32 x x))) x)
(fma.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 x #s(literal 1/3 binary32))) (+.f32 (.f32 (.f32 x x) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (.f32 x (.f32 x x)))) x))
(fma.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32))))) (.f32 (.f32 x x) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (.f32 x (.f32 x x)))))
(fma.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) x (+.f32 (.f32 (.f32 x x) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (.f32 x (*.f32 x x)))) x))
(fma.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) x (.f32 (.f32 x x) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (.f32 x (*.f32 x x)))))
(fma.f32 (.f32 x (.f32 x x)) #s(literal 1/3 binary32) (+.f32 (.f32 (.f32 x x) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (.f32 x (*.f32 x x)))) x))
(fma.f32 (.f32 x (.f32 x x)) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))) x)
(fma.f32 #s(literal -1 binary32) (neg.f32 x) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))) (.f32 x (*.f32 x x))))
(fma.f32 #s(literal -1 binary32) (.f32 x (+.f32 #s(literal -1 binary32) (.f32 (.f32 x x) #s(literal -1/3 binary32)))) (.f32 (.f32 x x) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (.f32 x (.f32 x x)))))
(fma.f32 #s(literal -1 binary32) (.f32 x (.f32 (.f32 x x) #s(literal -1/3 binary32))) (+.f32 (.f32 (.f32 x x) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (.f32 x (.f32 x x)))) x))
(fma.f32 #s(literal -1 binary32) (neg.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))) (.f32 x (*.f32 x x)))) x)
(fma.f32 (neg.f32 x) #s(literal -1 binary32) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))) (.f32 x (*.f32 x x))))
(fma.f32 (neg.f32 x) (+.f32 #s(literal -1 binary32) (.f32 (.f32 x x) #s(literal -1/3 binary32))) (.f32 (.f32 x x) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (.f32 x (*.f32 x x)))))
(fma.f32 (neg.f32 x) (/.f32 (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32))))))) (/.f32 #s(literal -1 binary32) x)) x)
(fma.f32 (.f32 x (+.f32 #s(literal -1 binary32) (.f32 (.f32 x x) #s(literal -1/3 binary32)))) #s(literal -1 binary32) (.f32 (.f32 x x) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (.f32 x (.f32 x x)))))
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(/.f32 x (/.f32 (/.f32 #s(literal 1 binary32) x) x))
(/.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 x x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) x) (-.f32 #s(literal 0 binary32) (*.f32 x x))))
(/.f32 (.f32 x (.f32 x x)) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (.f32 x (.f32 x x))))
(/.f32 (.f32 x (-.f32 #s(literal 0 binary32) (.f32 x x))) #s(literal -1 binary32))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (/.f32 #s(literal -1 binary32) x))
(.f32 x (.f32 x x))
(.f32 (.f32 x x) x)
(.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))
(.f32 (.f32 x (*.f32 x x)) #s(literal 1 binary32))
(.f32 #s(literal -1 binary32) (.f32 x (-.f32 #s(literal 0 binary32) (*.f32 x x))))
(.f32 (.f32 x (-.f32 #s(literal 0 binary32) (*.f32 x x))) #s(literal -1 binary32))
(.f32 (-.f32 #s(literal 0 binary32) (.f32 x x)) (neg.f32 x))

simplify387.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

4208×	`-lowering-.f32`
4208×	`-lowering-.f64`
2044×	`/-lowering-/.f32`
2044×	`/-lowering-/.f64`
1692×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	185	2413
1	595	2030
2	1748	2004
3	7017	2002
0	8023	2002

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))))))))
(* 1/7 (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)))
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 (* 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 x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/9 (pow x 2)) 1/3))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/9 (* -1/27 (pow x 2)))) 1/3))) x)
(/ 3 (pow x 3))
(/ (- 3 (* 9 (/ 1 (pow x 2)))) (pow x 3))
(/ (- (+ 3 (/ 27 (pow x 4))) (* 9 (/ 1 (pow x 2)))) (pow x 3))
(/ (- (+ 3 (/ 27 (pow x 4))) (+ (* 9 (/ 1 (pow x 2))) (* 81 (/ 1 (pow x 6))))) (pow x 3))
(/ 3 (pow x 3))
(* -1 (/ (- (* 9 (/ 1 (pow x 2))) 3) (pow x 3)))
(* -1 (/ (- (* 9 (/ 1 (pow x 2))) (+ 3 (/ 27 (pow x 4)))) (pow x 3)))
(* -1 (/ (- (+ (* 9 (/ 1 (pow x 2))) (* 81 (/ 1 (pow x 6)))) (+ 3 (/ 27 (pow x 4)))) (pow x 3)))
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))))
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
(+ 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)))))
(* 1/5 (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))
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 x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3))) x)
(/ 7 (pow x 7))
(/ (- 7 (* 49/5 (/ 1 (pow x 2)))) (pow x 7))
(/ (+ 7 (* -1 (/ (+ 49/5 (* 196/75 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 7))
(/ (- (+ 7 (* -1 (/ (+ 196/75 (* 8428/375 (/ 1 (pow x 2)))) (pow x 4)))) (* 49/5 (/ 1 (pow x 2)))) (pow x 7))
(/ 7 (pow x 7))
(* -1 (/ (- (* 49/5 (/ 1 (pow x 2))) 7) (pow x 7)))
(* -1 (/ (- (+ (* 49/5 (/ 1 (pow x 2))) (/ 196/75 (pow x 4))) 7) (pow x 7)))
(* -1 (/ (- (+ (* 49/5 (/ 1 (pow x 2))) (+ (* 8428/375 (/ 1 (pow x 6))) (/ 196/75 (pow x 4)))) 7) (pow x 7)))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
1
(+ 1 (* 1/3 (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))))))
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 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))
(* 1/5 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)
(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)

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 (.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 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 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)))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 4 binary32))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 4 binary32)))) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 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)))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))))
(* -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)) (neg.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/5 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 x x))) (*.f32 x x)) #s(literal -1/7 binary32))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (pow.f32 x #s(literal 4 binary32)))))
(* 1/3 (pow x 3))
(.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x x)))
(* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))
(.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32)))))
(* (pow x 3) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32))))))))
(* (pow x 3) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 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)))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 4 binary32))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 4 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)))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))))
(* -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)) (neg.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/5 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 x x))) (*.f32 x x)) #s(literal -1/7 binary32))))
(* -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)) (neg.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/5 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 x x))) (*.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 (.f32 x 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 x (.f32 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 x (.f32 x #s(literal 1/7 binary32)))))))
(* 1/7 (pow x 6))
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(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
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(* (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))
(* 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))
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 (.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 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 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)))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 4 binary32))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 4 binary32)))) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 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)))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))))
(* -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)) (neg.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/5 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 x x))) (*.f32 x x)) #s(literal -1/7 binary32))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (pow.f32 x #s(literal 4 binary32)))))
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal -1/3 binary32)))) x)
(/ (+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))) x)
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x #s(literal -4/45 binary32)))))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3))) x)
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -4/45 binary32) (.f32 (.f32 x x) #s(literal -44/945 binary32))))))) x)
(/ 7 (pow x 7))
(/.f32 #s(literal 7 binary32) (pow.f32 x #s(literal 7 binary32)))
(/ (- 7 (* 49/5 (/ 1 (pow x 2)))) (pow x 7))
(/.f32 (-.f32 #s(literal 7 binary32) (/.f32 #s(literal 49/5 binary32) (*.f32 x x))) (pow.f32 x #s(literal 7 binary32)))
(/ (+ 7 (* -1 (/ (+ 49/5 (* 196/75 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 7))
(/.f32 (+.f32 #s(literal 7 binary32) (/.f32 (+.f32 #s(literal -49/5 binary32) (/.f32 #s(literal -196/75 binary32) (.f32 x x))) (.f32 x x))) (pow.f32 x #s(literal 7 binary32)))
(/ (- (+ 7 (* -1 (/ (+ 196/75 (* 8428/375 (/ 1 (pow x 2)))) (pow x 4)))) (* 49/5 (/ 1 (pow x 2)))) (pow x 7))
(/.f32 (+.f32 #s(literal 7 binary32) (+.f32 (/.f32 (+.f32 #s(literal -196/75 binary32) (/.f32 #s(literal -8428/375 binary32) (.f32 x x))) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal -49/5 binary32) (.f32 x x)))) (pow.f32 x #s(literal 7 binary32)))
(/ 7 (pow x 7))
(/.f32 #s(literal 7 binary32) (pow.f32 x #s(literal 7 binary32)))
(* -1 (/ (- (* 49/5 (/ 1 (pow x 2))) 7) (pow x 7)))
(/.f32 (-.f32 #s(literal 7 binary32) (/.f32 #s(literal 49/5 binary32) (*.f32 x x))) (pow.f32 x #s(literal 7 binary32)))
(* -1 (/ (- (+ (* 49/5 (/ 1 (pow x 2))) (/ 196/75 (pow x 4))) 7) (pow x 7)))
(/.f32 (-.f32 (/.f32 #s(literal -49/5 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal 196/75 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal -7 binary32))) (pow.f32 x #s(literal 7 binary32)))
(* -1 (/ (- (+ (* 49/5 (/ 1 (pow x 2))) (+ (* 8428/375 (/ 1 (pow x 6))) (/ 196/75 (pow x 4)))) 7) (pow x 7)))
(/.f32 (-.f32 (/.f32 #s(literal -49/5 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal 8428/375 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 (/.f32 #s(literal 196/75 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal -7 binary32)))) (pow.f32 x #s(literal 7 binary32)))
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(/ 1 x)
(/.f32 #s(literal 1 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 (.f32 x 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 x (.f32 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 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 4 binary32))))) (pow.f32 x #s(literal 6 binary32)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f32 (.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 4 binary32))))) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 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 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 4 binary32))))) (pow.f32 x #s(literal 6 binary32)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f32 (.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 4 binary32))))) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 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 x (.f32 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 x (.f32 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 x (.f32 x #s(literal 1/7 binary32)))))
(* 1/7 (pow x 4))
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 4 binary32)))
(* (pow x 4) (+ 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 4 binary32)))
(* (pow x 4) (+ 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 4 binary32)))
(* (pow x 4) (+ 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 4 binary32)))
(* 1/7 (pow x 4))
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 4 binary32)))
(* (pow x 4) (+ 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 4 binary32)))
(* (pow x 4) (+ 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 4 binary32)))
(* (pow x 4) (+ 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 4 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)))
(* 1/5 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))
(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))

eval375.0ms (4.3%)

Compiler: Compiled 57537 to 6366 computations (88.9% saved)

prune406.0ms (4.7%)

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	2418	3	2421
Fresh	3	0	3
Picked	2	3	5
Done	0	5	5
Total	2423	11	2434

Accuracy

100.0%

Counts

2434 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -4/45 binary32) (.f32 (.f32 x x) #s(literal -44/945 binary32))))))) x))
▶	99.1%	(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x #s(literal -4/45 binary32)))))) x))
▶	98.6%	(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal -1/3 binary32)))) x))
✓	99.4%	(+.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x #s(literal 1/5 binary32)))) (.f32 x (*.f32 x x))) x)
✓	98.9%	(+.f32 (.f32 (.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x)
✓	99.6%	(+.f32 (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32))))))))) x)
✓	99.3%	(.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))))))
✓	99.5%	(.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)))))))))
✓	98.9%	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))
✓	99.9%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
✓	97.6%	x

Compiler

Compiled 163 to 105 computations (35.6% saved)

simplify297.0ms (3.4%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -4/45 binary32) (.f32 (.f32 x x) #s(literal -44/945 binary32))))))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -4/45 binary32) (.f32 (.f32 x x) #s(literal -44/945 binary32)))))))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -4/45 binary32) (.f32 (.f32 x x) #s(literal -44/945 binary32))))))) x))
✓	cost-diff	64	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -4/45 binary32) (.f32 (.f32 x x) #s(literal -44/945 binary32))))))) x)
✓	cost-diff	0	(.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x #s(literal -4/45 binary32)))))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x #s(literal -4/45 binary32))))))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x #s(literal -4/45 binary32)))))) x))
✓	cost-diff	64	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x #s(literal -4/45 binary32)))))) x)
✓	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	0	(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal -1/3 binary32)))) x))
✓	cost-diff	64	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal -1/3 binary32)))) x)

Rules

3078×	`-lowering-.f32`
3078×	`-lowering-.f64`
1730×	`sum3-define`
1612×	`/-lowering-/.f32`
1612×	`/-lowering-/.f64`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	26	203
1	78	177
2	231	174
3	514	174
4	922	174
5	1228	174
6	1305	174
7	1340	174
8	1440	174
9	2009	171
10	2695	171
11	3113	171
12	3795	171
13	4105	171
14	4608	171
15	5427	171
16	6394	171
17	6860	171
18	7111	171
19	7370	171
20	7654	171
0	8189	171

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (/ (+ 1 (* x (* x -1/3))) x))
1
(/ (+ 1 (* x (* x -1/3))) x)
(+ 1 (* x (* x -1/3)))
(* x (* x -1/3))
x
(* x -1/3)
-1/3
(/ 1 (/ (+ 1 (* (* x x) (+ -1/3 (* x (* x -4/45))))) x))
1
(/ (+ 1 (* (* x x) (+ -1/3 (* x (* x -4/45))))) x)
(+ 1 (* (* x x) (+ -1/3 (* x (* x -4/45)))))
(* (* x x) (+ -1/3 (* x (* x -4/45))))
(* x x)
x
(+ -1/3 (* x (* x -4/45)))
-1/3
(* x (* x -4/45))
(* x -4/45)
-4/45
(/ 1 (/ (+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ -4/45 (* (* x x) -44/945)))))) x))
1
(/ (+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ -4/45 (* (* x x) -44/945)))))) x)
(+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ -4/45 (* (* x x) -44/945))))))
(* (* x x) (+ -1/3 (* (* x x) (+ -4/45 (* (* x x) -44/945)))))
(* x x)
x
(+ -1/3 (* (* x x) (+ -4/45 (* (* x x) -44/945))))
-1/3
(* (* x x) (+ -4/45 (* (* x x) -44/945)))
(+ -4/45 (* (* x x) -44/945))
-4/45
(* (* x x) -44/945)
-44/945

Outputs
(/ 1 (/ (+ 1 (* x (* x -1/3))) x))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal -1/3 binary32))))
1
#s(literal 1 binary32)
(/ (+ 1 (* x (* x -1/3))) x)
(+.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal -1/3 binary32)))
(+ 1 (* x (* x -1/3)))
(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/3 binary32) (.f32 x x)))
(* x (* x -1/3))
(.f32 #s(literal -1/3 binary32) (.f32 x x))
x
(* x -1/3)
(*.f32 x #s(literal -1/3 binary32))
-1/3
#s(literal -1/3 binary32)
(/ 1 (/ (+ 1 (* (* x x) (+ -1/3 (* x (* x -4/45))))) x))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) x) (.f32 x (+.f32 #s(literal -1/3 binary32) (.f32 (*.f32 x x) #s(literal -4/45 binary32))))))
1
#s(literal 1 binary32)
(/ (+ 1 (* (* x x) (+ -1/3 (* x (* x -4/45))))) x)
(+.f32 (/.f32 #s(literal 1 binary32) x) (.f32 x (+.f32 #s(literal -1/3 binary32) (.f32 (*.f32 x x) #s(literal -4/45 binary32)))))
(+ 1 (* (* x x) (+ -1/3 (* x (* x -4/45)))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 (.f32 x x) #s(literal -4/45 binary32)))))
(* (* x x) (+ -1/3 (* x (* x -4/45))))
(.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 (.f32 x x) #s(literal -4/45 binary32))))
(* x x)
(*.f32 x x)
x
(+ -1/3 (* x (* x -4/45)))
(+.f32 #s(literal -1/3 binary32) (.f32 (.f32 x x) #s(literal -4/45 binary32)))
-1/3
#s(literal -1/3 binary32)
(* x (* x -4/45))
(.f32 (.f32 x x) #s(literal -4/45 binary32))
(* x -4/45)
(*.f32 x #s(literal -4/45 binary32))
-4/45
#s(literal -4/45 binary32)
(/ 1 (/ (+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ -4/45 (* (* x x) -44/945)))))) x))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) x) (.f32 x (+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal -4/45 binary32) (.f32 (*.f32 x x) #s(literal -44/945 binary32)))))))))
1
#s(literal 1 binary32)
(/ (+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ -4/45 (* (* x x) -44/945)))))) x)
(+.f32 (/.f32 #s(literal 1 binary32) x) (.f32 x (+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal -4/45 binary32) (.f32 (*.f32 x x) #s(literal -44/945 binary32))))))))
(+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ -4/45 (* (* x x) -44/945))))))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal -4/45 binary32) (.f32 (.f32 x x) #s(literal -44/945 binary32)))))))))
(* (* x x) (+ -1/3 (* (* x x) (+ -4/45 (* (* x x) -44/945)))))
(.f32 x (.f32 x (+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal -4/45 binary32) (.f32 (.f32 x x) #s(literal -44/945 binary32))))))))
(* x x)
(*.f32 x x)
x
(+ -1/3 (* (* x x) (+ -4/45 (* (* x x) -44/945))))
(+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal -4/45 binary32) (.f32 (.f32 x x) #s(literal -44/945 binary32))))))
-1/3
#s(literal -1/3 binary32)
(* (* x x) (+ -4/45 (* (* x x) -44/945)))
(.f32 x (.f32 x (+.f32 #s(literal -4/45 binary32) (.f32 (.f32 x x) #s(literal -44/945 binary32)))))
(+ -4/45 (* (* x x) -44/945))
(+.f32 #s(literal -4/45 binary32) (.f32 (.f32 x x) #s(literal -44/945 binary32)))
-4/45
#s(literal -4/45 binary32)
(* (* x x) -44/945)
(.f32 (.f32 x x) #s(literal -44/945 binary32))
-44/945
#s(literal -44/945 binary32)

localize146.0ms (1.7%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -4/45 binary32) (.f32 (.f32 x x) #s(literal -44/945 binary32))))))) x))
✓	accuracy	99.5%	(.f32 (.f32 x x) #s(literal -44/945 binary32))
✓	accuracy	99.4%	(.f32 (.f32 x x) (+.f32 #s(literal -4/45 binary32) (.f32 (.f32 x x) #s(literal -44/945 binary32))))
✓	accuracy	99.4%	(.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -4/45 binary32) (.f32 (.f32 x x) #s(literal -44/945 binary32))))))
✓	accuracy	99.6%	(.f32 x (.f32 x #s(literal -4/45 binary32)))
✓	accuracy	99.6%	(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x #s(literal -4/45 binary32)))))) x))
✓	accuracy	99.4%	(.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x #s(literal -4/45 binary32)))))
✓	accuracy	99.1%	(*.f32 x #s(literal -4/45 binary32))
✓	accuracy	100.0%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal -1/3 binary32)))) x)
✓	accuracy	99.7%	(.f32 x (.f32 x #s(literal -1/3 binary32)))
✓	accuracy	99.6%	(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal -1/3 binary32)))) x))
✓	accuracy	99.0%	(*.f32 x #s(literal -1/3 binary32))

Results

105.0ms

256×

valid

Compiler

Compiled 242 to 27 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 18.0ms (37.3% of total)

...c/correct-round.rkt:119:19: 11.0ms (22.8% of total)

ival-div: 10.0ms (20.7% of total)

ival-add: 8.0ms (16.6% of total)

const: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Counts

17 → 204

Calls

Call 1

Inputs
#<alt (/ (+ 1 (* x (* x -1/3))) x)>
#<alt (/ 1 (/ (+ 1 (* x (* x -1/3))) x))>
#<alt (+ 1 (* x (* x -1/3)))>
#<alt (* x (* x -1/3))>
#<alt (/ (+ 1 (* (* x x) (+ -1/3 (* x (* x -4/45))))) x)>
#<alt (/ 1 (/ (+ 1 (* (* x x) (+ -1/3 (* x (* x -4/45))))) x))>
#<alt (+ 1 (* (* x x) (+ -1/3 (* x (* x -4/45)))))>
#<alt (* (* x x) (+ -1/3 (* x (* x -4/45))))>
#<alt (/ (+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ -4/45 (* (* x x) -44/945)))))) x)>
#<alt (/ 1 (/ (+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ -4/45 (* (* x x) -44/945)))))) x))>
#<alt (+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ -4/45 (* (* x x) -44/945))))))>
#<alt (* (* x x) (+ -1/3 (* (* x x) (+ -4/45 (* (* x x) -44/945)))))>
#<alt (* x -1/3)>
#<alt (* x -4/45)>
#<alt (* x (* x -4/45))>
#<alt (* (* x x) (+ -4/45 (* (* x x) -44/945)))>
#<alt (* (* x x) -44/945)>

Outputs
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1/3 (pow x 2))) x)>
#<alt (/ (+ 1 (* -1/3 (pow x 2))) x)>
#<alt (/ (+ 1 (* -1/3 (pow x 2))) x)>
#<alt (* -1/3 x)>
#<alt (* x (- (/ 1 (pow x 2)) 1/3))>
#<alt (* x (- (/ 1 (pow x 2)) 1/3))>
#<alt (* x (- (/ 1 (pow x 2)) 1/3))>
#<alt (* -1/3 x)>
#<alt (* -1 (* x (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* x (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* x (- 1/3 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/9 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/9 (* 1/27 (pow x 2))))))))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (* 9 (/ 1 (pow x 2)))) x))>
#<alt (/ (- (* -1 (/ (+ 9 (* 27 (/ 1 (pow x 2)))) (pow x 2))) 3) x)>
#<alt (/ (- (* -1 (/ (+ 27 (* 81 (/ 1 (pow x 2)))) (pow x 4))) (+ 3 (* 9 (/ 1 (pow x 2))))) x)>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (* 9 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 3 (+ (* 9 (/ 1 (pow x 2))) (/ 27 (pow x 4)))) x))>
#<alt (* -1 (/ (+ 3 (+ (* 9 (/ 1 (pow x 2))) (+ (* 81 (/ 1 (pow x 6))) (/ 27 (pow x 4))))) x))>
#<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 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1/3 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))) x)>
#<alt (* -4/45 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 4/45 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* (pow x 3) (- (/ 1 (pow x 4)) (+ 4/45 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* (pow x 3) (- (/ 1 (pow x 4)) (+ 4/45 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* -4/45 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 4/45 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (/ 1 (pow x 4)))))>
#<alt (* -1 (* (pow x 3) (- (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (/ 1 (pow x 4)))))>
#<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 (* 13/135 (pow x 2))))))))>
#<alt (/ -45/4 (pow x 3))>
#<alt (/ (- (* 675/16 (/ 1 (pow x 2))) 45/4) (pow x 3))>
#<alt (/ (- (* 675/16 (/ 1 (pow x 2))) (+ 45/4 (/ 18225/64 (pow x 4)))) (pow x 3))>
#<alt (/ (- (+ (* 675/16 (/ 1 (pow x 2))) (* 394875/256 (/ 1 (pow x 6)))) (+ 45/4 (/ 18225/64 (pow x 4)))) (pow x 3))>
#<alt (/ -45/4 (pow x 3))>
#<alt (* -1 (/ (- 45/4 (* 675/16 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (* -1 (/ (- (+ 45/4 (/ 18225/64 (pow x 4))) (* 675/16 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (* -1 (/ (- (+ 45/4 (/ 18225/64 (pow x 4))) (+ (* 675/16 (/ 1 (pow x 2))) (* 394875/256 (/ 1 (pow x 6))))) (pow x 3)))>
#<alt 1>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3)))>
#<alt (+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3)))>
#<alt (* -4/45 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 4/45 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1 (pow x 4)) (+ 4/45 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1 (pow x 4)) (+ 4/45 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* -4/45 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 4/45 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1 (pow x 4)) (+ 4/45 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1 (pow x 4)) (+ 4/45 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))>
#<alt (* -4/45 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 4/45 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 4/45 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 4/45 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* -4/45 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 4/45 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 4/45 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 4/45 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1/3 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3))) x)>
#<alt (* -44/945 (pow x 5))>
#<alt (* -1 (* (pow x 5) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))>
#<alt (* (pow x 5) (- (/ 1 (pow x 6)) (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2)))))))>
#<alt (* -44/945 (pow x 5))>
#<alt (* -1 (* (pow x 5) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* (pow x 5) (- (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 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 (/ -945/44 (pow x 5))>
#<alt (/ (- (* 19845/484 (/ 1 (pow x 2))) 945/44) (pow x 5))>
#<alt (/ (- (+ (* 19845/484 (/ 1 (pow x 2))) (/ 1607445/21296 (pow x 4))) 945/44) (pow x 5))>
#<alt (/ (- (+ (* 19845/484 (/ 1 (pow x 2))) (/ 1607445/21296 (pow x 4))) (+ 945/44 (* 210575295/234256 (/ 1 (pow x 6))))) (pow x 5))>
#<alt (/ -945/44 (pow x 5))>
#<alt (* -1 (/ (- 945/44 (* 19845/484 (/ 1 (pow x 2)))) (pow x 5)))>
#<alt (* -1 (/ (+ 945/44 (* -1 (/ (+ 19845/484 (* 1607445/21296 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 5)))>
#<alt (* -1 (/ (- (+ 945/44 (* 210575295/234256 (/ 1 (pow x 6)))) (+ (* 19845/484 (/ 1 (pow x 2))) (/ 1607445/21296 (pow x 4)))) (pow x 5)))>
#<alt 1>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3)))>
#<alt (* -44/945 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2)))))))>
#<alt (* -44/945 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2)))))))>
#<alt (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3))>
#<alt (* -44/945 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))>
#<alt (* -44/945 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))>
#<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 (* -4/45 x)>
#<alt (* -4/45 x)>
#<alt (* -4/45 x)>
#<alt (* -4/45 x)>
#<alt (* -4/45 x)>
#<alt (* -4/45 x)>
#<alt (* -4/45 x)>
#<alt (* -4/45 x)>
#<alt (* -4/45 x)>
#<alt (* -4/45 x)>
#<alt (* -4/45 x)>
#<alt (* -4/45 x)>
#<alt (* -4/45 (pow x 2))>
#<alt (* -4/45 (pow x 2))>
#<alt (* -4/45 (pow x 2))>
#<alt (* -4/45 (pow x 2))>
#<alt (* -4/45 (pow x 2))>
#<alt (* -4/45 (pow x 2))>
#<alt (* -4/45 (pow x 2))>
#<alt (* -4/45 (pow x 2))>
#<alt (* -4/45 (pow x 2))>
#<alt (* -4/45 (pow x 2))>
#<alt (* -4/45 (pow x 2))>
#<alt (* -4/45 (pow x 2))>
#<alt (* -4/45 (pow x 2))>
#<alt (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45))>
#<alt (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45))>
#<alt (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45))>
#<alt (* -44/945 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))>
#<alt (* -44/945 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))>
#<alt (* -44/945 (pow x 2))>
#<alt (* -44/945 (pow x 2))>
#<alt (* -44/945 (pow x 2))>
#<alt (* -44/945 (pow x 2))>
#<alt (* -44/945 (pow x 2))>
#<alt (* -44/945 (pow x 2))>
#<alt (* -44/945 (pow x 2))>
#<alt (* -44/945 (pow x 2))>
#<alt (* -44/945 (pow x 2))>
#<alt (* -44/945 (pow x 2))>
#<alt (* -44/945 (pow x 2))>
#<alt (* -44/945 (pow x 2))>

Calls

51 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ (+ 1 (* (* x x) (+ -1/3 (* x (* x -4/45))))) x)
0.0ms	x	@	inf	(/ 1 (/ (+ 1 (* x (* x -1/3))) x))
0.0ms	x	@	inf	(/ (+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ -4/45 (* (* x x) -44/945)))))) x)
0.0ms	x	@	0	(/ (+ 1 (* x (* x -1/3))) x)
0.0ms	x	@	inf	(/ (+ 1 (* x (* x -1/3))) x)

rewrite341.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

2246×	`fma-lowering-fma.f32`
2246×	`fma-lowering-fma.f64`
2106×	`-lowering-.f32`
2106×	`-lowering-.f64`
1776×	`fmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	164
1	117	139
2	476	139
3	1687	139
4	5932	139
0	8635	139

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 876

Calls

Call 1

Inputs
(/ (+ 1 (* x (* x -1/3))) x)
(/ 1 (/ (+ 1 (* x (* x -1/3))) x))
(+ 1 (* x (* x -1/3)))
(* x (* x -1/3))
(/ (+ 1 (* (* x x) (+ -1/3 (* x (* x -4/45))))) x)
(/ 1 (/ (+ 1 (* (* x x) (+ -1/3 (* x (* x -4/45))))) x))
(+ 1 (* (* x x) (+ -1/3 (* x (* x -4/45)))))
(* (* x x) (+ -1/3 (* x (* x -4/45))))
(/ (+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ -4/45 (* (* x x) -44/945)))))) x)
(/ 1 (/ (+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ -4/45 (* (* x x) -44/945)))))) x))
(+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ -4/45 (* (* x x) -44/945))))))
(* (* x x) (+ -1/3 (* (* x x) (+ -4/45 (* (* x x) -44/945)))))
(* x -1/3)
(* x -4/45)
(* x (* x -4/45))
(* (* x x) (+ -4/45 (* (* x x) -44/945)))
(* (* x x) -44/945)

Outputs
(neg.f32 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) x))
(exp.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) x)))
(exp.f32 (-.f32 (-.f32 #s(literal 0 binary32) (log.f32 x)) (.f32 #s(literal -1 binary32) (log1p.f32 (.f32 x (*.f32 x #s(literal -1/3 binary32)))))))
(+.f32 #s(literal 0 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) x))
(+.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (.f32 x (.f32 x #s(literal -1/3 binary32))) x))
(+.f32 (/.f32 #s(literal 1 binary32) x) (.f32 (/.f32 #s(literal -1 binary32) x) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))
(+.f32 (/.f32 (.f32 x (.f32 x #s(literal -1/3 binary32))) x) (/.f32 #s(literal 1 binary32) x))
(+.f32 (.f32 (/.f32 #s(literal -1 binary32) x) (.f32 x (*.f32 x #s(literal 1/3 binary32)))) (/.f32 #s(literal 1 binary32) x))
(+.f32 (.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 0 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))) x))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) x) #s(literal 1 binary32))
(pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32))))) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x) (/.f32 (.f32 x (.f32 x #s(literal -1/3 binary32))) x))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x) (neg.f32 (/.f32 (.f32 x (.f32 x #s(literal -1/3 binary32))) (neg.f32 x))))
(fma.f32 #s(literal 1 binary32) (/.f32 (.f32 x (.f32 x #s(literal -1/3 binary32))) x) (/.f32 #s(literal 1 binary32) x))
(fma.f32 x (.f32 (.f32 x #s(literal -1/3 binary32)) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1 binary32) x))
(fma.f32 #s(literal -1/3 binary32) (.f32 (.f32 x x) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1 binary32) x))
(fma.f32 (.f32 x #s(literal -1/3 binary32)) (.f32 x (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1 binary32) x))
(fma.f32 (.f32 x x) (.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1 binary32) x))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) x) (/.f32 (.f32 x (.f32 x #s(literal -1/3 binary32))) x))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) x) (neg.f32 (/.f32 (.f32 x (.f32 x #s(literal -1/3 binary32))) (neg.f32 x))))
(fma.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal -1 binary32) x) (.f32 x (*.f32 x #s(literal -1/3 binary32)))) (/.f32 #s(literal 1 binary32) x))
(fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32) (/.f32 (.f32 x (.f32 x #s(literal -1/3 binary32))) x))
(fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 x (.f32 x #s(literal -1/3 binary32))) (neg.f32 x))))
(fma.f32 (/.f32 #s(literal 1 binary32) x) (.f32 x (.f32 x #s(literal -1/3 binary32))) (/.f32 #s(literal 1 binary32) x))
(fma.f32 (.f32 x (.f32 x #s(literal -1/3 binary32))) (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) x))
(fma.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32) (neg.f32 (/.f32 (.f32 x (.f32 x #s(literal -1/3 binary32))) (neg.f32 x))))
(fma.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (/.f32 #s(literal -1 binary32) x) (/.f32 #s(literal 1 binary32) x))
(fma.f32 (/.f32 (.f32 x (.f32 x #s(literal -1/3 binary32))) x) #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x))
(fma.f32 (.f32 (/.f32 #s(literal 1 binary32) x) x) (.f32 x #s(literal -1/3 binary32)) (/.f32 #s(literal 1 binary32) x))
(fma.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (.f32 x x)) #s(literal -1/3 binary32) (/.f32 #s(literal 1 binary32) x))
(fma.f32 (.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/3 binary32)) (.f32 x x) (/.f32 #s(literal 1 binary32) x))
(fma.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (.f32 x #s(literal -1/3 binary32))) x (/.f32 #s(literal 1 binary32) x))
(-.f32 #s(literal 0 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) x))
(-.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (.f32 x (.f32 x #s(literal -1/3 binary32))) (neg.f32 x)))
(-.f32 (/.f32 #s(literal 1 binary32) x) (.f32 (/.f32 #s(literal -1 binary32) x) (.f32 x (*.f32 x #s(literal -1/3 binary32)))))
(-.f32 (/.f32 #s(literal 1 binary32) x) (.f32 (.f32 x (*.f32 x #s(literal -1/3 binary32))) (/.f32 #s(literal -1 binary32) x)))
(-.f32 (/.f32 (.f32 x (.f32 x #s(literal -1/3 binary32))) x) (/.f32 #s(literal -1 binary32) x))
(/.f32 #s(literal 1 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32))))))
(/.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) x)
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) x) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 x (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32))))))
(/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) x) #s(literal -1 binary32))
(/.f32 (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (neg.f32 x))
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32))))))
(/.f32 (/.f32 #s(literal -1 binary32) x) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32))))))
(/.f32 (exp.f32 (log1p.f32 (.f32 x (.f32 x #s(literal -1/3 binary32))))) x)
(/.f32 (exp.f32 (log.f32 (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))))) (exp.f32 (log.f32 (neg.f32 x))))
(/.f32 (exp.f32 (log.f32 #s(literal -1 binary32))) (exp.f32 (log.f32 (/.f32 x (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32))))))))
(/.f32 (exp.f32 (log.f32 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) x))) (exp.f32 (log.f32 #s(literal -1 binary32))))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))))) x) (.f32 (neg.f32 x) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))))))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 x (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))))) (neg.f32 x)) (.f32 (neg.f32 x) (/.f32 x (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))))))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 x)) (.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))))) (*.f32 x x))
(/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 x) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))) x))) x)
(/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 x) (/.f32 (+.f32 #s(literal -1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))) x))) (neg.f32 x))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) x) (.f32 (neg.f32 x) (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))))) (-.f32 #s(literal 0 binary32) (*.f32 x x)))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))))) (.f32 (neg.f32 x) (/.f32 #s(literal -1 binary32) x))) (/.f32 x (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32))))))
(.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))) x))
(.f32 (-.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))) (/.f32 #s(literal 1 binary32) x))
(.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))) x) #s(literal 1 binary32))
(.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))) x))
(.f32 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))) x) #s(literal -1 binary32))
(.f32 (+.f32 #s(literal -1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))) (/.f32 #s(literal -1 binary32) x))
(.f32 (+.f32 #s(literal -1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))) (pow.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) x) (exp.f32 (log1p.f32 (.f32 x (*.f32 x #s(literal -1/3 binary32))))))
(.f32 (/.f32 #s(literal -1 binary32) x) (+.f32 #s(literal -1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))
(.f32 (pow.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))
(.f32 (exp.f32 (log1p.f32 (.f32 x (*.f32 x #s(literal -1/3 binary32))))) (/.f32 #s(literal 1 binary32) x))
(.f32 (exp.f32 (log.f32 (+.f32 #s(literal -1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))) (exp.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))))
(neg.f32 (/.f32 x (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32))))))
(exp.f32 (log.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))))))
(exp.f32 (.f32 (log.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))) #s(literal 1 binary32)))
(exp.f32 (-.f32 (.f32 #s(literal -1 binary32) (log1p.f32 (.f32 x (*.f32 x #s(literal -1/3 binary32))))) (-.f32 #s(literal 0 binary32) (log.f32 x))))
(+.f32 #s(literal 0 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32))))))
(+.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32))))) #s(literal 0 binary32)) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32))))))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) x) #s(literal -1 binary32))
(pow.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32))))) #s(literal 1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) x)))
(-.f32 #s(literal 0 binary32) (/.f32 x (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) x))
(/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))))
(/.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) x))
(/.f32 (neg.f32 x) (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))))
(/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32))))) #s(literal 1 binary32))
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32))))) (/.f32 #s(literal 1 binary32) x))
(/.f32 (/.f32 x (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32))))) #s(literal -1 binary32))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32))))) (/.f32 #s(literal -1 binary32) x))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) x)) (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32))))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (/.f32 (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) x)))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32))))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) x)) (.f32 (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (+.f32 #s(literal -1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32))))))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) x)) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32))))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) x)))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32))))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (neg.f32 x))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (-.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32))))))
(/.f32 (-.f32 #s(literal 0 binary32) (.f32 (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32))))))) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))) x))
(/.f32 (-.f32 #s(literal 0 binary32) (.f32 (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (/.f32 x (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32))))))) (+.f32 #s(literal -1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))
(/.f32 (-.f32 #s(literal 0 binary32) (.f32 (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32))))))) (/.f32 (+.f32 #s(literal -1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))) x))
(.f32 #s(literal 1 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32))))))
(.f32 x (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32))))))
(.f32 x (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32))))) #s(literal 1 binary32)))
(.f32 #s(literal -1 binary32) (/.f32 x (+.f32 #s(literal -1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32))))))
(.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32))))))
(.f32 (neg.f32 x) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32))))) #s(literal 1 binary32)))
(.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32))))) #s(literal 1 binary32))
(.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32))))) x)
(.f32 (/.f32 x (+.f32 #s(literal -1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32))))) #s(literal -1 binary32))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32))))) (neg.f32 x))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32))))) #s(literal 1 binary32)) x)
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32))))) #s(literal 1 binary32)) (neg.f32 x))
(neg.f32 (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))))
(exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))) #s(literal -1 binary32)))
(exp.f32 (.f32 (.f32 #s(literal -1 binary32) (log1p.f32 (.f32 x (.f32 x #s(literal -1/3 binary32))))) #s(literal -1 binary32)))
(exp.f32 (neg.f32 (.f32 #s(literal -1 binary32) (log1p.f32 (.f32 x (*.f32 x #s(literal -1/3 binary32)))))))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal -1/3 binary32))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x (*.f32 x #s(literal 1/3 binary32))) #s(literal -1 binary32)))
(+.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))))
(+.f32 (.f32 x (.f32 x #s(literal -1/3 binary32))) #s(literal 1 binary32))
(+.f32 (.f32 (.f32 x (*.f32 x #s(literal 1/3 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) #s(literal 1 binary32))
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(.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (*.f32 x #s(literal -4/45 binary32))))))) (neg.f32 x))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (*.f32 x #s(literal -4/45 binary32))))))) #s(literal 1 binary32)) x)
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (*.f32 x #s(literal -4/45 binary32))))))) #s(literal 1 binary32)) (neg.f32 x))
(neg.f32 (-.f32 #s(literal -1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x #s(literal -4/45 binary32)))))))
(exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (*.f32 x #s(literal -4/45 binary32)))))))) #s(literal -1 binary32)))
(exp.f32 (.f32 (.f32 #s(literal -1 binary32) (log1p.f32 (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x #s(literal -4/45 binary32))))))) #s(literal -1 binary32)))
(exp.f32 (neg.f32 (.f32 #s(literal -1 binary32) (log1p.f32 (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (*.f32 x #s(literal -4/45 binary32)))))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x #s(literal -4/45 binary32))))))
(+.f32 #s(literal 1 binary32) (.f32 (neg.f32 (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (*.f32 x #s(literal -4/45 binary32)))))) #s(literal -1 binary32)))
(+.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x (.f32 x x)))))
(+.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (.f32 (.f32 (.f32 x (.f32 x (*.f32 x x))) #s(literal 4/45 binary32)) #s(literal -1 binary32)))
(+.f32 (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x #s(literal -4/45 binary32))))) #s(literal 1 binary32))
(+.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x #s(literal -4/45 binary32)))))))
(+.f32 (.f32 x (.f32 x #s(literal -1/3 binary32))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x (.f32 x x))))))
(+.f32 (.f32 x (.f32 x #s(literal -1/3 binary32))) (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 4/45 binary32)))))
(+.f32 (.f32 x (.f32 x #s(literal -1/3 binary32))) (.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x (*.f32 x x)))))))
(+.f32 (.f32 x (.f32 x #s(literal -1/3 binary32))) (.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (.f32 (.f32 x (.f32 x (*.f32 x x))) #s(literal 4/45 binary32)))))
(+.f32 (.f32 x (.f32 x #s(literal -1/3 binary32))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x (*.f32 x x))))) #s(literal 1 binary32)))
(+.f32 (.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x (.f32 x x)))) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))))
(+.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x (.f32 x x))))) (.f32 x (.f32 x #s(literal -1/3 binary32))))
(+.f32 (.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x (.f32 x x)))))) (.f32 x (*.f32 x #s(literal -1/3 binary32))))
(+.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x (.f32 x x))))) #s(literal 1 binary32)) (.f32 x (*.f32 x #s(literal -1/3 binary32))))
(+.f32 (.f32 (neg.f32 (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (*.f32 x #s(literal -4/45 binary32)))))) #s(literal -1 binary32)) #s(literal 1 binary32))
(+.f32 (.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) #s(literal -1 binary32)) (.f32 (+.f32 #s(literal -1 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 4/45 binary32))) #s(literal -1 binary32)))
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(fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x (.f32 x x)))))
(fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (neg.f32 (/.f32 (.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x (.f32 x x)))) #s(literal -1 binary32))))
(fma.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x #s(literal -4/45 binary32))))) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal -1/3 binary32))) (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 4/45 binary32)))))
(fma.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal -1/3 binary32))) (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x (.f32 x x))))) #s(literal -1 binary32))))
(fma.f32 #s(literal 1 binary32) (.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x (.f32 x x)))) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))))
(fma.f32 x (.f32 x #s(literal -1/3 binary32)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x (*.f32 x x))))))
(fma.f32 x (.f32 x #s(literal -1/3 binary32)) (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 (.f32 x (.f32 x (*.f32 x x))) #s(literal 4/45 binary32)))))
(fma.f32 x (.f32 x #s(literal -1/3 binary32)) (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x (*.f32 x x))))) #s(literal -1 binary32))))
(fma.f32 x (.f32 x (+.f32 #s(literal -1/3 binary32) (.f32 x (*.f32 x #s(literal -4/45 binary32))))) #s(literal 1 binary32))
(fma.f32 x (.f32 (.f32 x x) (.f32 x #s(literal -4/45 binary32))) (-.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))
(fma.f32 #s(literal -1/3 binary32) (.f32 x x) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x (*.f32 x x))))))
(fma.f32 #s(literal -1/3 binary32) (.f32 x x) (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 (.f32 x (.f32 x (*.f32 x x))) #s(literal 4/45 binary32)))))
(fma.f32 #s(literal -1/3 binary32) (.f32 x x) (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x (*.f32 x x))))) #s(literal -1 binary32))))
(fma.f32 (.f32 x #s(literal -1/3 binary32)) x (+.f32 #s(literal 1 binary32) (.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x (*.f32 x x))))))
(fma.f32 (.f32 x #s(literal -1/3 binary32)) x (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 (.f32 x (.f32 x (*.f32 x x))) #s(literal 4/45 binary32)))))
(fma.f32 (.f32 x #s(literal -1/3 binary32)) x (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x (*.f32 x x))))) #s(literal -1 binary32))))
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(fma.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x (.f32 x x)))) #s(literal -1 binary32))))
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(fma.f32 (.f32 x x) #s(literal -1/3 binary32) (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 (.f32 x (.f32 x (*.f32 x x))) #s(literal 4/45 binary32)))))
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(fma.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (*.f32 x #s(literal -4/45 binary32)))) #s(literal 1 binary32))
(fma.f32 (.f32 x x) (neg.f32 (neg.f32 (+.f32 #s(literal -1/3 binary32) (.f32 x (*.f32 x #s(literal -4/45 binary32)))))) #s(literal 1 binary32))
(fma.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x (.f32 x x))) (-.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))
(fma.f32 (.f32 x #s(literal -4/45 binary32)) (.f32 x (.f32 x x)) (-.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))
(fma.f32 (.f32 x (.f32 x #s(literal -4/45 binary32))) (.f32 x x) (-.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))
(fma.f32 (+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x #s(literal -4/45 binary32)))) (*.f32 x x) #s(literal 1 binary32))
(fma.f32 (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x #s(literal -4/45 binary32))))) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x (.f32 x x)))))
(fma.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (neg.f32 (/.f32 (.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x (.f32 x x)))) #s(literal -1 binary32))))
(fma.f32 #s(literal -1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32))) (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 4/45 binary32)))))
(fma.f32 #s(literal -1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32))) (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x (.f32 x x))))) #s(literal -1 binary32))))
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(fma.f32 #s(literal -1 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 4/45 binary32)) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))))
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(fma.f32 (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) #s(literal -1 binary32) (neg.f32 (/.f32 (.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x (.f32 x x)))) #s(literal -1 binary32))))
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(fma.f32 (.f32 x (+.f32 #s(literal -1/3 binary32) (.f32 x (*.f32 x #s(literal -4/45 binary32))))) x #s(literal 1 binary32))
(fma.f32 (.f32 (.f32 x x) (.f32 x #s(literal -4/45 binary32))) x (-.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))
(fma.f32 (.f32 x (.f32 x x)) (.f32 x #s(literal -4/45 binary32)) (-.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))
(fma.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal -4/45 binary32) (-.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))
(fma.f32 #s(literal 1/3 binary32) (-.f32 #s(literal 0 binary32) (.f32 x x)) (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 (.f32 x (.f32 x (*.f32 x x))) #s(literal 4/45 binary32)))))
(fma.f32 #s(literal 1/3 binary32) (-.f32 #s(literal 0 binary32) (.f32 x x)) (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x (*.f32 x x))))) #s(literal -1 binary32))))
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(fma.f32 (-.f32 #s(literal 0 binary32) (.f32 x x)) #s(literal 1/3 binary32) (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 (.f32 x (.f32 x (*.f32 x x))) #s(literal 4/45 binary32)))))
(fma.f32 (-.f32 #s(literal 0 binary32) (.f32 x x)) #s(literal 1/3 binary32) (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x (*.f32 x x))))) #s(literal -1 binary32))))
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(fma.f32 (.f32 (.f32 x #s(literal -1/3 binary32)) #s(literal -1 binary32)) (neg.f32 x) (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x (.f32 x x))))) #s(literal -1 binary32))))
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(-.f32 #s(literal 1 binary32) (neg.f32 (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x #s(literal -4/45 binary32)))))))
(-.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 4/45 binary32)))
(-.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (/.f32 (.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x (.f32 x x)))) #s(literal -1 binary32)))
(-.f32 (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x #s(literal -4/45 binary32))))) #s(literal -1 binary32))
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(-.f32 (.f32 x (.f32 x #s(literal -1/3 binary32))) (+.f32 #s(literal -1 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 4/45 binary32))))
(-.f32 (.f32 x (.f32 x #s(literal -1/3 binary32))) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x (.f32 x x))))) #s(literal -1 binary32)))
(-.f32 (.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x (.f32 x x)))) (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))))
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(.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (*.f32 x #s(literal -4/45 binary32)))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (*.f32 x #s(literal -4/45 binary32)))))) #s(literal 1 binary32))
(.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (*.f32 x #s(literal -4/45 binary32)))))))
(.f32 (-.f32 #s(literal -1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (*.f32 x #s(literal -4/45 binary32)))))) #s(literal -1 binary32))
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(+.f32 (.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x (.f32 x x)))) (+.f32 (.f32 (.f32 x x) (.f32 x (.f32 #s(literal -44/945 binary32) (.f32 x (.f32 x x))))) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32))))))
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(+.f32 (.f32 (.f32 x x) (.f32 x (.f32 #s(literal -44/945 binary32) (.f32 x (.f32 x x))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x #s(literal -4/45 binary32)))))))
(+.f32 (+.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x #s(literal -44/945 binary32)))) (.f32 x (.f32 x (.f32 x x))))) (.f32 x (.f32 x #s(literal -1/3 binary32))))
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(.f32 (.f32 (*.f32 x #s(literal -4/45 binary32)) #s(literal -1 binary32)) (neg.f32 x))
(neg.f32 (.f32 (neg.f32 x) (.f32 x (+.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x #s(literal -44/945 binary32)))))))
(neg.f32 (.f32 (.f32 x (+.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x #s(literal -44/945 binary32))))) (neg.f32 x)))
(+.f32 (.f32 x (.f32 x #s(literal -4/45 binary32))) (.f32 x (.f32 #s(literal -44/945 binary32) (.f32 x (.f32 x x)))))
(+.f32 (.f32 x (.f32 #s(literal -44/945 binary32) (.f32 x (.f32 x x)))) (.f32 x (.f32 x #s(literal -4/45 binary32))))
(fma.f32 x (.f32 x #s(literal -4/45 binary32)) (.f32 x (.f32 #s(literal -44/945 binary32) (.f32 x (*.f32 x x)))))
(fma.f32 x (.f32 #s(literal -44/945 binary32) (.f32 x (.f32 x x))) (.f32 x (*.f32 x #s(literal -4/45 binary32))))
(fma.f32 (.f32 x x) #s(literal -4/45 binary32) (.f32 x (.f32 #s(literal -44/945 binary32) (.f32 x (*.f32 x x)))))
(fma.f32 (.f32 x x) (.f32 x (.f32 x #s(literal -44/945 binary32))) (.f32 x (*.f32 x #s(literal -4/45 binary32))))
(fma.f32 #s(literal -4/45 binary32) (.f32 x x) (.f32 x (.f32 #s(literal -44/945 binary32) (.f32 x (*.f32 x x)))))
(fma.f32 (.f32 x #s(literal -4/45 binary32)) x (.f32 x (.f32 #s(literal -44/945 binary32) (.f32 x (*.f32 x x)))))
(fma.f32 #s(literal -44/945 binary32) (.f32 x (.f32 x (.f32 x x))) (.f32 x (*.f32 x #s(literal -4/45 binary32))))
(fma.f32 (.f32 x (.f32 x #s(literal -44/945 binary32))) (.f32 x x) (.f32 x (*.f32 x #s(literal -4/45 binary32))))
(fma.f32 (.f32 x #s(literal -44/945 binary32)) (.f32 x (.f32 x x)) (.f32 x (*.f32 x #s(literal -4/45 binary32))))
(fma.f32 (.f32 #s(literal -44/945 binary32) (.f32 x (.f32 x x))) x (.f32 x (*.f32 x #s(literal -4/45 binary32))))
(fma.f32 (.f32 x (.f32 x x)) (.f32 x #s(literal -44/945 binary32)) (.f32 x (*.f32 x #s(literal -4/45 binary32))))
(fma.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal -44/945 binary32) (.f32 x (*.f32 x #s(literal -4/45 binary32))))
(-.f32 (.f32 x (.f32 x #s(literal -4/45 binary32))) (.f32 (neg.f32 x) (.f32 #s(literal -44/945 binary32) (.f32 x (.f32 x x)))))
(-.f32 (.f32 x (.f32 x #s(literal -4/45 binary32))) (.f32 (.f32 #s(literal -44/945 binary32) (.f32 x (.f32 x x))) (neg.f32 x)))
(-.f32 (.f32 x (.f32 #s(literal -44/945 binary32) (.f32 x (.f32 x x)))) (.f32 (neg.f32 x) (.f32 x #s(literal -4/45 binary32))))
(-.f32 (.f32 x (.f32 #s(literal -44/945 binary32) (.f32 x (.f32 x x)))) (.f32 (.f32 x #s(literal -4/45 binary32)) (neg.f32 x)))
(/.f32 (.f32 (.f32 x x) (+.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x #s(literal -44/945 binary32))))) #s(literal 1 binary32))
(/.f32 (.f32 x (+.f32 #s(literal -4/45 binary32) (.f32 x (*.f32 x #s(literal -44/945 binary32))))) (/.f32 #s(literal 1 binary32) x))
(/.f32 (.f32 (neg.f32 x) (.f32 x (+.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x #s(literal -44/945 binary32)))))) #s(literal -1 binary32))
(/.f32 (.f32 (.f32 x (+.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x #s(literal -44/945 binary32))))) (neg.f32 x)) #s(literal -1 binary32))
(.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -4/45 binary32) (.f32 x (*.f32 x #s(literal -44/945 binary32))))))
(.f32 x (.f32 x (+.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x #s(literal -44/945 binary32))))))
(.f32 (.f32 x x) (+.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x #s(literal -44/945 binary32)))))
(.f32 (+.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x #s(literal -44/945 binary32)))) (.f32 x x))
(.f32 (.f32 (.f32 x x) (+.f32 #s(literal -4/45 binary32) (.f32 x (*.f32 x #s(literal -44/945 binary32))))) #s(literal 1 binary32))
(.f32 #s(literal -1 binary32) (.f32 (neg.f32 x) (.f32 x (+.f32 #s(literal -4/45 binary32) (.f32 x (*.f32 x #s(literal -44/945 binary32)))))))
(.f32 (.f32 x (+.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x #s(literal -44/945 binary32))))) x)
(.f32 (.f32 (.f32 x (+.f32 #s(literal -4/45 binary32) (.f32 x (*.f32 x #s(literal -44/945 binary32))))) #s(literal -1 binary32)) (neg.f32 x))
(neg.f32 (.f32 (neg.f32 x) (.f32 x #s(literal -44/945 binary32))))
(neg.f32 (.f32 (.f32 x #s(literal -44/945 binary32)) (neg.f32 x)))
(/.f32 (.f32 x (.f32 x #s(literal -44/945 binary32))) #s(literal 1 binary32))
(/.f32 (*.f32 x #s(literal -44/945 binary32)) (/.f32 #s(literal 1 binary32) x))
(/.f32 (.f32 (neg.f32 x) (.f32 x #s(literal -44/945 binary32))) #s(literal -1 binary32))
(/.f32 (.f32 (.f32 x #s(literal -44/945 binary32)) (neg.f32 x)) #s(literal -1 binary32))
(.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal -44/945 binary32))))
(.f32 x (.f32 x #s(literal -44/945 binary32)))
(.f32 (.f32 x x) #s(literal -44/945 binary32))
(.f32 #s(literal -44/945 binary32) (.f32 x x))
(.f32 (.f32 x (*.f32 x #s(literal -44/945 binary32))) #s(literal 1 binary32))
(.f32 #s(literal -1 binary32) (.f32 (neg.f32 x) (*.f32 x #s(literal -44/945 binary32))))
(.f32 (.f32 x #s(literal -44/945 binary32)) x)
(.f32 (.f32 (*.f32 x #s(literal -44/945 binary32)) #s(literal -1 binary32)) (neg.f32 x))

simplify247.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

4048×	`-lowering-.f32`
4048×	`-lowering-.f64`
2150×	`+-lowering-+.f64`
2150×	`+-lowering-+.f32`
1512×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	214	1839
1	656	1596
2	2262	1518
3	7683	1518
0	8016	1518

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(/ 1 x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(* -1/3 x)
(* x (- (/ 1 (pow x 2)) 1/3))
(* x (- (/ 1 (pow x 2)) 1/3))
(* x (- (/ 1 (pow x 2)) 1/3))
(* -1/3 x)
(* -1 (* x (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* x (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* x (- 1/3 (/ 1 (pow x 2)))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/9 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/9 (* 1/27 (pow x 2))))))))
(/ -3 x)
(* -1 (/ (+ 3 (* 9 (/ 1 (pow x 2)))) x))
(/ (- (* -1 (/ (+ 9 (* 27 (/ 1 (pow x 2)))) (pow x 2))) 3) x)
(/ (- (* -1 (/ (+ 27 (* 81 (/ 1 (pow x 2)))) (pow x 4))) (+ 3 (* 9 (/ 1 (pow x 2))))) x)
(/ -3 x)
(* -1 (/ (+ 3 (* 9 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 3 (+ (* 9 (/ 1 (pow x 2))) (/ 27 (pow x 4)))) x))
(* -1 (/ (+ 3 (+ (* 9 (/ 1 (pow x 2))) (+ (* 81 (/ 1 (pow x 6))) (/ 27 (pow x 4))))) x))
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 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(/ 1 x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))) x)
(/ (+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))) x)
(* -4/45 (pow x 3))
(* -1 (* (pow x 3) (+ 4/45 (* 1/3 (/ 1 (pow x 2))))))
(* (pow x 3) (- (/ 1 (pow x 4)) (+ 4/45 (* 1/3 (/ 1 (pow x 2))))))
(* (pow x 3) (- (/ 1 (pow x 4)) (+ 4/45 (* 1/3 (/ 1 (pow x 2))))))
(* -4/45 (pow x 3))
(* -1 (* (pow x 3) (+ 4/45 (* 1/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (/ 1 (pow x 4)))))
(* -1 (* (pow x 3) (- (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (/ 1 (pow x 4)))))
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 (* 13/135 (pow x 2))))))))
(/ -45/4 (pow x 3))
(/ (- (* 675/16 (/ 1 (pow x 2))) 45/4) (pow x 3))
(/ (- (* 675/16 (/ 1 (pow x 2))) (+ 45/4 (/ 18225/64 (pow x 4)))) (pow x 3))
(/ (- (+ (* 675/16 (/ 1 (pow x 2))) (* 394875/256 (/ 1 (pow x 6)))) (+ 45/4 (/ 18225/64 (pow x 4)))) (pow x 3))
(/ -45/4 (pow x 3))
(* -1 (/ (- 45/4 (* 675/16 (/ 1 (pow x 2)))) (pow x 3)))
(* -1 (/ (- (+ 45/4 (/ 18225/64 (pow x 4))) (* 675/16 (/ 1 (pow x 2)))) (pow x 3)))
(* -1 (/ (- (+ 45/4 (/ 18225/64 (pow x 4))) (+ (* 675/16 (/ 1 (pow x 2))) (* 394875/256 (/ 1 (pow x 6))))) (pow x 3)))
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3)))
(+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3)))
(* -4/45 (pow x 4))
(* -1 (* (pow x 4) (+ 4/45 (* 1/3 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 4/45 (* 1/3 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 4/45 (* 1/3 (/ 1 (pow x 2))))))
(* -4/45 (pow x 4))
(* -1 (* (pow x 4) (+ 4/45 (* 1/3 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 4/45 (* 1/3 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 4/45 (* 1/3 (/ 1 (pow x 2))))))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))
(* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))
(* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))
(* -4/45 (pow x 4))
(* -1 (* (pow x 4) (+ 4/45 (* 1/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 4/45 (* 1/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 4/45 (* 1/3 (/ 1 (pow x 2))))))
(* -4/45 (pow x 4))
(* -1 (* (pow x 4) (+ 4/45 (* 1/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 4/45 (* 1/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 4/45 (* 1/3 (/ 1 (pow x 2))))))
(/ 1 x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3))) x)
(* -44/945 (pow x 5))
(* -1 (* (pow x 5) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(* (pow x 5) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))
(* (pow x 5) (- (/ 1 (pow x 6)) (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2)))))))
(* -44/945 (pow x 5))
(* -1 (* (pow x 5) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (- (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 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))))))))
(/ -945/44 (pow x 5))
(/ (- (* 19845/484 (/ 1 (pow x 2))) 945/44) (pow x 5))
(/ (- (+ (* 19845/484 (/ 1 (pow x 2))) (/ 1607445/21296 (pow x 4))) 945/44) (pow x 5))
(/ (- (+ (* 19845/484 (/ 1 (pow x 2))) (/ 1607445/21296 (pow x 4))) (+ 945/44 (* 210575295/234256 (/ 1 (pow x 6))))) (pow x 5))
(/ -945/44 (pow x 5))
(* -1 (/ (- 945/44 (* 19845/484 (/ 1 (pow x 2)))) (pow x 5)))
(* -1 (/ (+ 945/44 (* -1 (/ (+ 19845/484 (* 1607445/21296 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 5)))
(* -1 (/ (- (+ 945/44 (* 210575295/234256 (/ 1 (pow x 6)))) (+ (* 19845/484 (/ 1 (pow x 2))) (/ 1607445/21296 (pow x 4)))) (pow x 5)))
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3)))
(* -44/945 (pow x 6))
(* -1 (* (pow x 6) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2)))))))
(* -44/945 (pow x 6))
(* -1 (* (pow x 6) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2)))))))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))
(* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3))
(* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3))
(* -44/945 (pow x 6))
(* -1 (* (pow x 6) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))
(* (pow x 6) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))
(* -44/945 (pow x 6))
(* -1 (* (pow x 6) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))
(* (pow x 6) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))
(* -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)
(* -4/45 x)
(* -4/45 x)
(* -4/45 x)
(* -4/45 x)
(* -4/45 x)
(* -4/45 x)
(* -4/45 x)
(* -4/45 x)
(* -4/45 x)
(* -4/45 x)
(* -4/45 x)
(* -4/45 x)
(* -4/45 (pow x 2))
(* -4/45 (pow x 2))
(* -4/45 (pow x 2))
(* -4/45 (pow x 2))
(* -4/45 (pow x 2))
(* -4/45 (pow x 2))
(* -4/45 (pow x 2))
(* -4/45 (pow x 2))
(* -4/45 (pow x 2))
(* -4/45 (pow x 2))
(* -4/45 (pow x 2))
(* -4/45 (pow x 2))
(* -4/45 (pow x 2))
(* (pow x 2) (- (* -44/945 (pow x 2)) 4/45))
(* (pow x 2) (- (* -44/945 (pow x 2)) 4/45))
(* (pow x 2) (- (* -44/945 (pow x 2)) 4/45))
(* -44/945 (pow x 4))
(* -1 (* (pow x 4) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(* -44/945 (pow x 4))
(* -1 (* (pow x 4) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(* -44/945 (pow x 2))
(* -44/945 (pow x 2))
(* -44/945 (pow x 2))
(* -44/945 (pow x 2))
(* -44/945 (pow x 2))
(* -44/945 (pow x 2))
(* -44/945 (pow x 2))
(* -44/945 (pow x 2))
(* -44/945 (pow x 2))
(* -44/945 (pow x 2))
(* -44/945 (pow x 2))
(* -44/945 (pow x 2))

Outputs
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal -1/3 binary32)))) x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal -1/3 binary32)))) x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal -1/3 binary32)))) x)
(* -1/3 x)
(*.f32 x #s(literal -1/3 binary32))
(* x (- (/ 1 (pow x 2)) 1/3))
(.f32 x (+.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))))
(* x (- (/ 1 (pow x 2)) 1/3))
(.f32 x (+.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))))
(* x (- (/ 1 (pow x 2)) 1/3))
(.f32 x (+.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))))
(* -1/3 x)
(*.f32 x #s(literal -1/3 binary32))
(* -1 (* x (- 1/3 (/ 1 (pow x 2)))))
(.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal -1 binary32) (.f32 x x))) (neg.f32 x))
(* -1 (* x (- 1/3 (/ 1 (pow x 2)))))
(.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal -1 binary32) (.f32 x x))) (neg.f32 x))
(* -1 (* x (- 1/3 (/ 1 (pow x 2)))))
(.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal -1 binary32) (.f32 x x))) (neg.f32 x))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (*.f32 x x) #s(literal 1/3 binary32))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/9 (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 1/9 binary32))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/9 (* 1/27 (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 1/9 binary32) (.f32 (*.f32 x x) #s(literal 1/27 binary32))))))))
(/ -3 x)
(/.f32 #s(literal -3 binary32) x)
(* -1 (/ (+ 3 (* 9 (/ 1 (pow x 2)))) x))
(/.f32 (-.f32 #s(literal -3 binary32) (/.f32 #s(literal 9 binary32) (*.f32 x x))) x)
(/ (- (* -1 (/ (+ 9 (* 27 (/ 1 (pow x 2)))) (pow x 2))) 3) x)
(/.f32 (+.f32 #s(literal -3 binary32) (/.f32 (+.f32 #s(literal -9 binary32) (/.f32 #s(literal -27 binary32) (.f32 x x))) (.f32 x x))) x)
(/ (- (* -1 (/ (+ 27 (* 81 (/ 1 (pow x 2)))) (pow x 4))) (+ 3 (* 9 (/ 1 (pow x 2))))) x)
(/.f32 (+.f32 (/.f32 (+.f32 #s(literal -27 binary32) (/.f32 #s(literal -81 binary32) (.f32 x x))) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -3 binary32) (/.f32 #s(literal 9 binary32) (.f32 x x)))) x)
(/ -3 x)
(/.f32 #s(literal -3 binary32) x)
(* -1 (/ (+ 3 (* 9 (/ 1 (pow x 2)))) x))
(/.f32 (-.f32 #s(literal -3 binary32) (/.f32 #s(literal 9 binary32) (*.f32 x x))) x)
(* -1 (/ (+ 3 (+ (* 9 (/ 1 (pow x 2))) (/ 27 (pow x 4)))) x))
(/.f32 (+.f32 (-.f32 #s(literal -3 binary32) (/.f32 #s(literal 9 binary32) (*.f32 x x))) (/.f32 #s(literal -27 binary32) (pow.f32 x #s(literal 4 binary32)))) x)
(* -1 (/ (+ 3 (+ (* 9 (/ 1 (pow x 2))) (+ (* 81 (/ 1 (pow x 6))) (/ 27 (pow x 4))))) x))
(/.f32 (+.f32 #s(literal 3 binary32) (+.f32 (/.f32 #s(literal 9 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal 27 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 81 binary32) (pow.f32 x #s(literal 6 binary32)))))) (neg.f32 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 (* -1/3 (pow x 2)))
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(.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x #s(literal -44/945 binary32)))))))
(* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3))
(.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x #s(literal -44/945 binary32)))))))
(* -44/945 (pow x 6))
(*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -44/945 binary32))
(* -1 (* (pow x 6) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal -44/945 binary32) (/.f32 #s(literal -4/45 binary32) (.f32 x x))))
(* (pow x 6) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))
(.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal -44/945 binary32) (/.f32 (+.f32 #s(literal -4/45 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 x x))) (*.f32 x x))))
(* (pow x 6) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))
(.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal -44/945 binary32) (/.f32 (+.f32 #s(literal -4/45 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 x x))) (*.f32 x x))))
(* -44/945 (pow x 6))
(*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -44/945 binary32))
(* -1 (* (pow x 6) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal -44/945 binary32) (/.f32 #s(literal -4/45 binary32) (.f32 x x))))
(* (pow x 6) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))
(.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal -44/945 binary32) (/.f32 (+.f32 #s(literal -4/45 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 x x))) (*.f32 x x))))
(* (pow x 6) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))
(.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal -44/945 binary32) (/.f32 (+.f32 #s(literal -4/45 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 x x))) (*.f32 x x))))
(* -1/3 x)
(*.f32 x #s(literal -1/3 binary32))
(* -1/3 x)
(*.f32 x #s(literal -1/3 binary32))
(* -1/3 x)
(*.f32 x #s(literal -1/3 binary32))
(* -1/3 x)
(*.f32 x #s(literal -1/3 binary32))
(* -1/3 x)
(*.f32 x #s(literal -1/3 binary32))
(* -1/3 x)
(*.f32 x #s(literal -1/3 binary32))
(* -1/3 x)
(*.f32 x #s(literal -1/3 binary32))
(* -1/3 x)
(*.f32 x #s(literal -1/3 binary32))
(* -1/3 x)
(*.f32 x #s(literal -1/3 binary32))
(* -1/3 x)
(*.f32 x #s(literal -1/3 binary32))
(* -1/3 x)
(*.f32 x #s(literal -1/3 binary32))
(* -1/3 x)
(*.f32 x #s(literal -1/3 binary32))
(* -4/45 x)
(*.f32 x #s(literal -4/45 binary32))
(* -4/45 x)
(*.f32 x #s(literal -4/45 binary32))
(* -4/45 x)
(*.f32 x #s(literal -4/45 binary32))
(* -4/45 x)
(*.f32 x #s(literal -4/45 binary32))
(* -4/45 x)
(*.f32 x #s(literal -4/45 binary32))
(* -4/45 x)
(*.f32 x #s(literal -4/45 binary32))
(* -4/45 x)
(*.f32 x #s(literal -4/45 binary32))
(* -4/45 x)
(*.f32 x #s(literal -4/45 binary32))
(* -4/45 x)
(*.f32 x #s(literal -4/45 binary32))
(* -4/45 x)
(*.f32 x #s(literal -4/45 binary32))
(* -4/45 x)
(*.f32 x #s(literal -4/45 binary32))
(* -4/45 x)
(*.f32 x #s(literal -4/45 binary32))
(* -4/45 (pow x 2))
(.f32 x (.f32 x #s(literal -4/45 binary32)))
(* -4/45 (pow x 2))
(.f32 x (.f32 x #s(literal -4/45 binary32)))
(* -4/45 (pow x 2))
(.f32 x (.f32 x #s(literal -4/45 binary32)))
(* -4/45 (pow x 2))
(.f32 x (.f32 x #s(literal -4/45 binary32)))
(* -4/45 (pow x 2))
(.f32 x (.f32 x #s(literal -4/45 binary32)))
(* -4/45 (pow x 2))
(.f32 x (.f32 x #s(literal -4/45 binary32)))
(* -4/45 (pow x 2))
(.f32 x (.f32 x #s(literal -4/45 binary32)))
(* -4/45 (pow x 2))
(.f32 x (.f32 x #s(literal -4/45 binary32)))
(* -4/45 (pow x 2))
(.f32 x (.f32 x #s(literal -4/45 binary32)))
(* -4/45 (pow x 2))
(.f32 x (.f32 x #s(literal -4/45 binary32)))
(* -4/45 (pow x 2))
(.f32 x (.f32 x #s(literal -4/45 binary32)))
(* -4/45 (pow x 2))
(.f32 x (.f32 x #s(literal -4/45 binary32)))
(* -4/45 (pow x 2))
(.f32 x (.f32 x #s(literal -4/45 binary32)))
(* (pow x 2) (- (* -44/945 (pow x 2)) 4/45))
(.f32 (.f32 x x) (+.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x #s(literal -44/945 binary32)))))
(* (pow x 2) (- (* -44/945 (pow x 2)) 4/45))
(.f32 (.f32 x x) (+.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x #s(literal -44/945 binary32)))))
(* (pow x 2) (- (* -44/945 (pow x 2)) 4/45))
(.f32 (.f32 x x) (+.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x #s(literal -44/945 binary32)))))
(* -44/945 (pow x 4))
(*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -44/945 binary32))
(* -1 (* (pow x 4) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 #s(literal -44/945 binary32) (/.f32 #s(literal -4/45 binary32) (.f32 x x))))
(* -1 (* (pow x 4) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 #s(literal -44/945 binary32) (/.f32 #s(literal -4/45 binary32) (.f32 x x))))
(* -1 (* (pow x 4) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 #s(literal -44/945 binary32) (/.f32 #s(literal -4/45 binary32) (.f32 x x))))
(* -44/945 (pow x 4))
(*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -44/945 binary32))
(* -1 (* (pow x 4) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 #s(literal -44/945 binary32) (/.f32 #s(literal -4/45 binary32) (.f32 x x))))
(* -1 (* (pow x 4) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 #s(literal -44/945 binary32) (/.f32 #s(literal -4/45 binary32) (.f32 x x))))
(* -1 (* (pow x 4) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 #s(literal -44/945 binary32) (/.f32 #s(literal -4/45 binary32) (.f32 x x))))
(* -44/945 (pow x 2))
(.f32 x (.f32 x #s(literal -44/945 binary32)))
(* -44/945 (pow x 2))
(.f32 x (.f32 x #s(literal -44/945 binary32)))
(* -44/945 (pow x 2))
(.f32 x (.f32 x #s(literal -44/945 binary32)))
(* -44/945 (pow x 2))
(.f32 x (.f32 x #s(literal -44/945 binary32)))
(* -44/945 (pow x 2))
(.f32 x (.f32 x #s(literal -44/945 binary32)))
(* -44/945 (pow x 2))
(.f32 x (.f32 x #s(literal -44/945 binary32)))
(* -44/945 (pow x 2))
(.f32 x (.f32 x #s(literal -44/945 binary32)))
(* -44/945 (pow x 2))
(.f32 x (.f32 x #s(literal -44/945 binary32)))
(* -44/945 (pow x 2))
(.f32 x (.f32 x #s(literal -44/945 binary32)))
(* -44/945 (pow x 2))
(.f32 x (.f32 x #s(literal -44/945 binary32)))
(* -44/945 (pow x 2))
(.f32 x (.f32 x #s(literal -44/945 binary32)))
(* -44/945 (pow x 2))
(.f32 x (.f32 x #s(literal -44/945 binary32)))

eval114.0ms (1.3%)

Compiler: Compiled 23465 to 3020 computations (87.1% saved)

prune169.0ms (2%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	1074	6	1080
Fresh	0	0	0
Picked	2	1	3
Done	4	4	8
Total	1080	11	1091

Accuracy

100.0%

Counts

1091 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x #s(literal -4/45 binary32))))))) (/.f32 #s(literal -1 binary32) x))
	99.0%	(/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))))
	99.6%	(/.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x #s(literal -44/945 binary32)))))))))
	99.5%	(/.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x #s(literal -4/45 binary32)))))))
✓	99.1%	(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x #s(literal -4/45 binary32)))))) x))
	51.4%	(/.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x)))))
✓	99.6%	(+.f32 (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32))))))))) x)
	99.6%	(.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 -4/45 binary32) (.f32 x (*.f32 x #s(literal -44/945 binary32))))))))) x)
✓	98.9%	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))
✓	99.9%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
✓	97.6%	x

Compiler

Compiled 511 to 224 computations (56.2% saved)

regimes91.0ms (1.1%)

Counts

23 → 1

Calls

Call 1

Inputs
x
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))
(+.f32 (.f32 (.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x)
(/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))))
(/.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal -1/3 binary32)))) x))
(/.f32 (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 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 #s(literal 1/3 binary32) (.f32 x (.f32 x #s(literal 1/5 binary32)))) (.f32 x (*.f32 x x))) x)
(/.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x #s(literal -4/45 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x #s(literal -4/45 binary32)))))) x))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) 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))))))))
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x #s(literal -4/45 binary32))))))) (/.f32 #s(literal -1 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 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 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 (.f32 x x) (+.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x #s(literal -44/945 binary32)))))))))
(.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 -4/45 binary32) (.f32 x (*.f32 x #s(literal -44/945 binary32))))))))) x)
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -4/45 binary32) (.f32 (.f32 x x) #s(literal -44/945 binary32))))))) x))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) 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 x (.f32 x #s(literal 1/7 binary32)))))))))))
(.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) (log.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) x))))))

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:

69.0ms	(.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))
6.0ms	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
6.0ms	x

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
99.9%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
99.9%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes8.0ms (0.1%)

Counts

21 → 1

Calls

Call 1

Inputs
x
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))
(+.f32 (.f32 (.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x)
(/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))))
(/.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal -1/3 binary32)))) x))
(/.f32 (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 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 #s(literal 1/3 binary32) (.f32 x (.f32 x #s(literal 1/5 binary32)))) (.f32 x (*.f32 x x))) x)
(/.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x #s(literal -4/45 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x #s(literal -4/45 binary32)))))) x))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) 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))))))))
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x #s(literal -4/45 binary32))))))) (/.f32 #s(literal -1 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 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 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 (.f32 x x) (+.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x #s(literal -44/945 binary32)))))))))
(.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 -4/45 binary32) (.f32 x (*.f32 x #s(literal -44/945 binary32))))))))) x)
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -4/45 binary32) (.f32 (.f32 x x) #s(literal -44/945 binary32))))))) x))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) 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 x (.f32 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 (.f32 x x) (+.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x #s(literal -44/945 binary32)))))))))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
99.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts

17 → 1

Calls

Call 1

Inputs
x
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))
(+.f32 (.f32 (.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x)
(/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))))
(/.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal -1/3 binary32)))) x))
(/.f32 (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 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 #s(literal 1/3 binary32) (.f32 x (.f32 x #s(literal 1/5 binary32)))) (.f32 x (*.f32 x x))) x)
(/.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x #s(literal -4/45 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x #s(literal -4/45 binary32)))))) x))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) 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))))))))
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x #s(literal -4/45 binary32))))))) (/.f32 #s(literal -1 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 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32))))))))) x)

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes37.0ms (0.4%)

Counts

16 → 1

Calls

Call 1

Inputs
x
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))
(+.f32 (.f32 (.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x)
(/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))))
(/.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal -1/3 binary32)))) x))
(/.f32 (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 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 #s(literal 1/3 binary32) (.f32 x (.f32 x #s(literal 1/5 binary32)))) (.f32 x (*.f32 x x))) x)
(/.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x #s(literal -4/45 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x #s(literal -4/45 binary32)))))) x))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) 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))))))))
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x #s(literal -4/45 binary32))))))) (/.f32 #s(literal -1 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)))))))))

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:

5.0ms

Results

Accuracy	Segments	Branch
99.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

15 → 1

Calls

Call 1

Inputs
x
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))
(+.f32 (.f32 (.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x)
(/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))))
(/.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal -1/3 binary32)))) x))
(/.f32 (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 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 #s(literal 1/3 binary32) (.f32 x (.f32 x #s(literal 1/5 binary32)))) (.f32 x (*.f32 x x))) x)
(/.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x #s(literal -4/45 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x #s(literal -4/45 binary32)))))) x))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) 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))))))))
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x #s(literal -4/45 binary32))))))) (/.f32 #s(literal -1 binary32) x))

Outputs
(/.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x #s(literal -4/45 binary32)))))))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

11 → 1

Calls

Call 1

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

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

10 → 1

Calls

Call 1

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

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:

3.0ms

Results

Accuracy	Segments	Branch
99.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes13.0ms (0.2%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

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 x (*.f32 x #s(literal 1/3 binary32)))))
(+.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
98.9%	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 x (*.f32 x #s(literal 1/3 binary32)))))

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
98.9%	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
97.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

70×	`*-commutative_binary32`
46×	`+-commutative_binary32`
12×	`sub-neg_binary32`
8×	`distribute-lft-neg-in_binary32`
8×	`neg-sub0_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	146
1	123	146
2	135	146
3	146	146
4	152	146
5	155	146
6	156	146

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 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -4/45 binary32) (.f32 x (.f32 x #s(literal -44/945 binary32)))))))))
(+.f32 (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 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 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x #s(literal -4/45 binary32)))))))
(+.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x #s(literal 1/5 binary32)))) (.f32 x (*.f32 x x))) 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 x (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))))
(+.f32 (.f32 (.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x)
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))
x

Outputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) 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 -4/45 binary32) (.f32 x (.f32 x #s(literal -44/945 binary32)))))))))
(+.f32 (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32))))))))) x)
(+.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 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 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x #s(literal -4/45 binary32)))))))
(+.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x #s(literal 1/5 binary32)))) (.f32 x (*.f32 x x))) x)
(+.f32 x (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x #s(literal 1/5 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) #s(literal 1/5 binary32))))))
(/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 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 x (*.f32 x #s(literal 1/3 binary32)))))
x

soundness2.1s (24.2%)

Rules

4208×	`-lowering-.f32`
4208×	`-lowering-.f64`
2246×	`fma-lowering-fma.f32`
2246×	`fma-lowering-fma.f64`
2216×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	178
1	113	151
2	387	148
3	1123	148
4	2993	148
0	8243	148
0	26	164
1	117	139
2	476	139
3	1687	139
4	5932	139
0	8635	139
0	106	394
1	331	345
2	992	334
3	2911	331
4	5279	331
0	8393	331
0	185	2413
1	595	2030
2	1748	2004
3	7017	2002
0	8023	2002

Stop Event

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

Compiler

Compiled 421 to 245 computations (41.8% saved)

preprocess79.0ms (0.9%)

Compiler: Compiled 316 to 150 computations (52.5% saved)

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

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

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

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

analyze2.0ms (0%)

sample439.0ms (5.1%)

preprocess43.0ms (0.5%)

explain163.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify37.0ms (0.4%)

localize79.0ms (0.9%)

series4.0ms (0.1%)

rewrite223.0ms (2.6%)

simplify255.0ms (3%)

eval33.0ms (0.4%)

prune110.0ms (1.3%)

simplify149.0ms (1.7%)

localize358.0ms (4.2%)

series23.0ms (0.3%)

rewrite247.0ms (2.9%)

simplify305.0ms (3.5%)

eval103.0ms (1.2%)

prune323.0ms (3.7%)

simplify218.0ms (2.5%)

localize223.0ms (2.6%)

series48.0ms (0.6%)

rewrite390.0ms (4.5%)

simplify387.0ms (4.5%)

eval375.0ms (4.3%)

prune406.0ms (4.7%)

simplify297.0ms (3.4%)

localize146.0ms (1.7%)

series11.0ms (0.1%)

rewrite341.0ms (4%)

simplify247.0ms (2.9%)

eval114.0ms (1.3%)

prune169.0ms (2%)

regimes91.0ms (1.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes37.0ms (0.4%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes13.0ms (0.2%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify13.0ms (0.2%)

soundness2.1s (24.2%)

preprocess79.0ms (0.9%)

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