Metrics for Rust f32::atanh

analyze4.0ms (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)

sample639.0ms (8.1%)

Results

533.0ms

8256×

valid

Precisions

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

ival-atanh: 92.0ms (90.7% of total)

const: 7.0ms (6.9% of total)

backward-pass: 3.0ms (3% of total)

Bogosity

preprocess30.0ms (0.4%)

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)))

explain142.0ms (1.8%)

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

79.0ms	296×	1	valid
26.0ms	216×	0	valid

Compiler

Compiled 85 to 29 computations (65.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

compiled-spec: 27.0ms (28.6% of total)

ival-mult: 22.0ms (23.3% of total)

ival-log: 16.0ms (17% of total)

backward-pass: 9.0ms (9.5% of total)

ival-div: 7.0ms (7.4% of total)

ival-add: 7.0ms (7.4% of total)

ival-sub: 5.0ms (5.3% of total)

const: 2.0ms (2.1% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify27.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize79.0ms (1%)

Localize:

Found 4 expressions of interest:

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

Results

36.0ms	148×	1	valid
27.0ms	108×	0	valid

Compiler

Compiled 37 to 10 computations (73% saved)

Precisions

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

ival-div: 19.0ms (34.4% of total)

compiled-spec: 13.0ms (23.5% of total)

ival-log: 8.0ms (14.5% of total)

ival-mult: 7.0ms (12.7% of total)

backward-pass: 4.0ms (7.2% of total)

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

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

const: 1.0ms (1.8% of total)

series5.0ms (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)

rewrite264.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 107

Calls

Call 1

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

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

simplify257.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval15.0ms (0.2%)

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

prune21.0ms (0.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	149	6	155
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	149	7	156

Accuracy

100.0%

Counts

156 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(.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))))))
▶	99.4%	(.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)))))))))
▶	98.8%	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
	99.7%	(.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32))))))
✓	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
▶	99.7%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 #s(literal 1 binary32) x))))
▶	97.4%	x

Compiler

Compiled 197 to 133 computations (32.5% saved)

simplify179.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

2634×	`-lowering-.f32`
2634×	`-lowering-.f64`
1946×	`fnmadd-define`
1236×	`+-lowering-+.f64`
1236×	`+-lowering-+.f32`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	32	230
1	112	209
2	362	203
3	1004	203
4	2045	203
5	2764	203
6	3972	191
7	7459	191
0	8594	191

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize275.0ms (3.5%)

Localize:

Found 16 expressions of interest:

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

Results

138.0ms	148×	1	valid
84.0ms	108×	0	valid

Compiler

Compiled 268 to 32 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 181.0ms

ival-mult: 82.0ms (45.3% of total)

backward-pass: 24.0ms (13.3% of total)

compiled-spec: 23.0ms (12.7% of total)

...c/correct-round.rkt:119:19: 20.0ms (11.1% of total)

ival-add: 16.0ms (8.8% of total)

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

ival-div: 3.0ms (1.7% of total)

ival-sub: 2.0ms (1.1% of total)

const: 1.0ms (0.6% of total)

series36.0ms (0.5%)

Counts

19 → 228

Calls

Call 1

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

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

Calls

57 calls:

Time	Variable		Point	Expression
25.0ms	x	@	-inf	(* x (+ 1 (* 1/3 (* x x))))
1.0ms	x	@	0	(* x (+ 1 (* 1/3 (* x x))))
1.0ms	x	@	inf	(* x (+ 1 (* (* 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)))))
0.0ms	x	@	inf	(* x (+ 1 (* 1/3 (* x x))))

rewrite367.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3020×	`fma-lowering-fma.f32`
3020×	`fma-lowering-fma.f64`
2982×	`-lowering-.f32`
2982×	`-lowering-.f64`
2262×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	180
1	218	162
2	2141	159
0	8697	159

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 662

Calls

Call 1

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

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

simplify293.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

5242×	`-lowering-.f32`
5242×	`-lowering-.f64`
2132×	`+-lowering-+.f64`
2132×	`+-lowering-+.f32`
2074×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	198	2004
1	675	1641
2	2059	1587
0	8407	1587

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

eval107.0ms (1.4%)

Compiler: Compiled 27065 to 3068 computations (88.7% saved)

prune142.0ms (1.8%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	985	5	990
Fresh	1	0	1
Picked	2	3	5
Done	0	1	1
Total	988	9	997

Accuracy

100.0%

Counts

997 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.2%	(/.f32 (-.f32 (.f32 x x) (.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (-.f32 x (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
▶	99.2%	(+.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32))) (.f32 x (*.f32 x x))) x)
▶	99.4%	(+.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) x)
▶	98.8%	(+.f32 (.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32)))) x)
✓	99.2%	(.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))))))
✓	99.4%	(.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)))))))))
▶	23.8%	(.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) x) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 #s(literal 2 binary32) x)))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x)))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))))
✓	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
✓	97.4%	x

Compiler

Compiled 379 to 160 computations (57.8% saved)

simplify267.0ms (3.4%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	256	(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) x) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 #s(literal 2 binary32) x)))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x)))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (-.f32 #s(literal 1 binary32) (.f32 x x))))))
✓	cost-diff	256	(log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) x) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 #s(literal 2 binary32) x)))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x)))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (-.f32 #s(literal 1 binary32) (.f32 x x)))))))
✓	cost-diff	256	(neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) x) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 #s(literal 2 binary32) x)))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x)))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (-.f32 #s(literal 1 binary32) (.f32 x x))))))))
✓	cost-diff	288	(.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) x) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 #s(literal 2 binary32) x)))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x)))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))))
✓	cost-diff	0	(.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))
✓	cost-diff	0	(*.f32 x x)
✓	cost-diff	64	(-.f32 (.f32 x x) (.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))))
✓	cost-diff	1408	(/.f32 (-.f32 (.f32 x x) (.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (-.f32 x (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
✓	cost-diff	0	(.f32 (.f32 x x) #s(literal 1/5 binary32))
✓	cost-diff	0	(+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))
✓	cost-diff	0	(.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32))) (.f32 x (*.f32 x x)))
✓	cost-diff	0	(+.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32))) (.f32 x (*.f32 x x))) x)
✓	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 x (.f32 x (*.f32 x #s(literal 1/3 binary32))))
✓	cost-diff	0	(+.f32 (.f32 x (.f32 x (*.f32 x #s(literal 1/3 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) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))
✓	cost-diff	0	(.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))
✓	cost-diff	0	(+.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) x)

Rules

5878×	`-lowering-.f32`
5878×	`-lowering-.f64`
2272×	`+-lowering-+.f64`
2272×	`+-lowering-+.f32`
1376×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	513
1	163	459
2	660	442
3	4116	437
0	8306	437

Stop Event

1×	iter limit
1×	node limit

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

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

localize390.0ms (4.9%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(*.f32 x (+.f32 #s(literal 1 binary32) x))
✓	accuracy	99.6%	(.f32 (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (.f32 #s(literal 2 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x))))
✓	accuracy	99.1%	(/.f32 (+.f32 #s(literal 1 binary32) x) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 #s(literal 2 binary32) x)))
✓	accuracy	23.8%	(log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) x) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 #s(literal 2 binary32) x)))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x)))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (-.f32 #s(literal 1 binary32) (.f32 x x)))))))
✓	accuracy	99.5%	(.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))
✓	accuracy	99.4%	(.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))
✓	accuracy	99.1%	(.f32 (.f32 x x) #s(literal 1/7 binary32))
✓	accuracy	63.8%	(/.f32 (-.f32 (.f32 x x) (.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (-.f32 x (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
✓	accuracy	99.9%	(+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))
✓	accuracy	99.7%	(.f32 x (.f32 x x))
✓	accuracy	99.6%	(.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32))) (.f32 x (*.f32 x x)))
✓	accuracy	99.5%	(.f32 (.f32 x x) #s(literal 1/5 binary32))
✓	accuracy	100.0%	(+.f32 (.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32)))) x)
✓	accuracy	99.8%	(.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32))))
✓	accuracy	99.6%	(.f32 x (.f32 x #s(literal 1/3 binary32)))
✓	accuracy	99.1%	(*.f32 x #s(literal 1/3 binary32))
✓	accuracy	99.8%	(.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))
✓	accuracy	99.5%	(.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))
✓	accuracy	99.4%	(.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))
✓	accuracy	99.1%	(.f32 (.f32 x x) #s(literal 1/7 binary32))

Results

193.0ms	120×	1	valid
65.0ms	136×	0	valid

Compiler

Compiled 762 to 45 computations (94.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 184.0ms

ival-mult: 65.0ms (35.3% of total)

ival-div: 36.0ms (19.5% of total)

backward-pass: 30.0ms (16.3% of total)

...c/correct-round.rkt:119:19: 18.0ms (9.8% of total)

ival-add: 12.0ms (6.5% of total)

ival-log: 10.0ms (5.4% of total)

ival-sub: 9.0ms (4.9% of total)

ival-neg: 2.0ms (1.1% of total)

const: 1.0ms (0.5% of total)

series18.0ms (0.2%)

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 x)>
#<alt (+ (* x (* x (* x 1/3))) x)>
#<alt (* x (* x (* x 1/3)))>
#<alt (* x (* x 1/3))>
#<alt (* 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 (/ (- (* x x) (* (* x (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))) (* x (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))))) (- x (* x (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))))))>
#<alt (- (* x 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))))))))>
#<alt (* (* 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)))))))>
#<alt (* 1/2 (neg (log (/ (- 1 (/ (+ 1 x) (/ (- 1 (* x x)) (* 2 x)))) (- 1 (/ (* (* 2 (* x (+ 1 x))) (* 2 (* x (+ 1 x)))) (* (- 1 (* x x)) (- 1 (* x x)))))))))>
#<alt (neg (log (/ (- 1 (/ (+ 1 x) (/ (- 1 (* x x)) (* 2 x)))) (- 1 (/ (* (* 2 (* x (+ 1 x))) (* 2 (* x (+ 1 x)))) (* (- 1 (* x x)) (- 1 (* x x))))))))>
#<alt (log (/ (- 1 (/ (+ 1 x) (/ (- 1 (* x x)) (* 2 x)))) (- 1 (/ (* (* 2 (* x (+ 1 x))) (* 2 (* x (+ 1 x)))) (* (- 1 (* x x)) (- 1 (* x x)))))))>
#<alt (/ (- 1 (/ (+ 1 x) (/ (- 1 (* x x)) (* 2 x)))) (- 1 (/ (* (* 2 (* x (+ 1 x))) (* 2 (* x (+ 1 x)))) (* (- 1 (* x x)) (- 1 (* x x))))))>
#<alt (* (* x x) 1/7)>
#<alt (* (* x x) (+ 1/5 (* (* x x) 1/7)))>
#<alt (* x (* x x))>
#<alt (/ (+ 1 x) (/ (- 1 (* x x)) (* 2 x)))>
#<alt (* (* 2 (* x (+ 1 x))) (* 2 (* x (+ 1 x))))>
#<alt (* x (+ 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 (* 1/3 (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 (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 (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt 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 (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1/9 (pow x 4))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -71/525 (pow x 2)) 2/15)) 1/9))))>
#<alt (* -1/49 (pow x 14))>
#<alt (* -1 (* (pow x 14) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* (pow x 14) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49))>
#<alt (* (pow x 14) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* -1/49 (pow x 14))>
#<alt (* -1 (* (pow x 14) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* (pow x 14) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49))>
#<alt (* (pow x 14) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* 1/9 (pow x 6))>
#<alt (* (pow x 6) (+ 1/9 (* 2/15 (pow x 2))))>
#<alt (* (pow x 6) (+ 1/9 (* (pow x 2) (+ 2/15 (* 71/525 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/9 (* (pow x 2) (+ 2/15 (* (pow x 2) (+ 71/525 (* 2/35 (pow x 2))))))))>
#<alt (* 1/49 (pow x 14))>
#<alt (* (pow x 14) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))>
#<alt (* (pow x 14) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* (pow x 14) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))>
#<alt (* 1/49 (pow x 14))>
#<alt (* (pow x 14) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))>
#<alt (* (pow x 14) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* (pow x 14) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* -1/2 (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 (* -1 (log -1))>
#<alt (- (* 2 (/ 1 x)) (log -1))>
#<alt (- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))>
#<alt (- (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))) (log -1))>
#<alt (* -1 (log -1))>
#<alt (- (* 2 (/ 1 x)) (log -1))>
#<alt (- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))>
#<alt (- (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) (log -1))>
#<alt (* -2 x)>
#<alt (* x (- (* -2/3 (pow x 2)) 2))>
#<alt (* x (- (* (pow x 2) (- (* -2/5 (pow x 2)) 2/3)) 2))>
#<alt (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2/7 (pow x 2)) 2/5)) 2/3)) 2))>
#<alt (log -1)>
#<alt (- (log -1) (* 2 (/ 1 x)))>
#<alt (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x)))>
#<alt (- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 3)))) (* 2 (/ 1 x)))>
#<alt (log -1)>
#<alt (- (log -1) (* 2 (/ 1 x)))>
#<alt (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x)))>
#<alt (+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow x 4)) (* 2/3 (/ 1 (pow x 2))))) x)))>
#<alt 1>
#<alt (+ 1 (* -2 x))>
#<alt (+ 1 (* x (- (* 2 x) 2)))>
#<alt (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))>
#<alt -1>
#<alt (- (* 2 (/ 1 x)) 1)>
#<alt (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))>
#<alt (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))>
#<alt -1>
#<alt (- (* 2 (/ 1 x)) 1)>
#<alt (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* 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 (* 4 (pow x 2))>
#<alt (* (pow x 2) (+ 4 (* 8 x)))>
#<alt (* (pow x 2) (+ 4 (* x (+ 8 (* 4 x)))))>
#<alt (* (pow x 2) (+ 4 (* x (+ 8 (* 4 x)))))>
#<alt (* 4 (pow x 4))>
#<alt (* (pow x 4) (+ 4 (* 8 (/ 1 x))))>
#<alt (* (pow x 4) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2)))))>
#<alt (* (pow x 4) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2)))))>
#<alt (* 4 (pow x 4))>
#<alt (* (pow x 4) (+ 4 (* 8 (/ 1 x))))>
#<alt (* (pow x 4) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2)))))>
#<alt (* (pow x 4) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>

Calls

75 calls:

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

rewrite478.0ms (6.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3920×	`-lowering-.f32`
3920×	`-lowering-.f64`
2374×	`pow-lowering-pow.f64`
2374×	`pow-lowering-pow.f32`
1980×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	323
1	328	219
2	3357	206
0	8606	206

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 522

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

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

simplify283.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

3136×	`-lowering-.f32`
3136×	`-lowering-.f64`
3032×	`+-lowering-+.f64`
3032×	`+-lowering-+.f32`
1170×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	310	2597
1	1013	2232
2	2980	2188
3	6558	2188
0	8114	2188

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))))))
(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))))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
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)))))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/9 (pow x 4))))
(* (pow x 2) (+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9))))
(* (pow x 2) (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -71/525 (pow x 2)) 2/15)) 1/9))))
(* -1/49 (pow x 14))
(* -1 (* (pow x 14) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 14) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49))
(* (pow x 14) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))
(* -1/49 (pow x 14))
(* -1 (* (pow x 14) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 14) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49))
(* (pow x 14) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))
(* 1/9 (pow x 6))
(* (pow x 6) (+ 1/9 (* 2/15 (pow x 2))))
(* (pow x 6) (+ 1/9 (* (pow x 2) (+ 2/15 (* 71/525 (pow x 2))))))
(* (pow x 6) (+ 1/9 (* (pow x 2) (+ 2/15 (* (pow x 2) (+ 71/525 (* 2/35 (pow x 2))))))))
(* 1/49 (pow x 14))
(* (pow x 14) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(* (pow x 14) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 14) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))
(* 1/49 (pow x 14))
(* (pow x 14) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(* (pow x 14) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 14) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* -1/2 (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))))))))
(* -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))
(* -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)) (log -1))
(* -2 x)
(* x (- (* -2/3 (pow x 2)) 2))
(* x (- (* (pow x 2) (- (* -2/5 (pow x 2)) 2/3)) 2))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2/7 (pow x 2)) 2/5)) 2/3)) 2))
(log -1)
(- (log -1) (* 2 (/ 1 x)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x)))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 3)))) (* 2 (/ 1 x)))
(log -1)
(- (log -1) (* 2 (/ 1 x)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x)))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow x 4)) (* 2/3 (/ 1 (pow x 2))))) x)))
1
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))
-1
(- (* 2 (/ 1 x)) 1)
(- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))
-1
(- (* 2 (/ 1 x)) 1)
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(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)
(* 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)
(* 4 (pow x 2))
(* (pow x 2) (+ 4 (* 8 x)))
(* (pow x 2) (+ 4 (* x (+ 8 (* 4 x)))))
(* (pow x 2) (+ 4 (* x (+ 8 (* 4 x)))))
(* 4 (pow x 4))
(* (pow x 4) (+ 4 (* 8 (/ 1 x))))
(* (pow x 4) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2)))))
(* (pow x 4) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2)))))
(* 4 (pow x 4))
(* (pow x 4) (+ 4 (* 8 (/ 1 x))))
(* (pow x 4) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2)))))
(* (pow x 4) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2)))))
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))

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 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))))
(* 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) (.f32 (.f32 x x) (*.f32 x x))))))
(* (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 #s(literal 1/7 binary32) (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (*.f32 x x))) (/.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)) (neg.f32 (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)))))))
(.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))) (.f32 (.f32 x x) (.f32 x x)))))
(* 1/3 (pow x 3))
(.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32))))
(* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))
(.f32 (.f32 x x) (.f32 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 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))
(* (pow x 3) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))
(* 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) (.f32 (.f32 x x) (*.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) (.f32 (.f32 x x) (*.f32 x x))))))
(* 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)) (neg.f32 (pow.f32 x #s(literal 7 binary32))))
(* -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)) (neg.f32 (pow.f32 x #s(literal 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 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))
(* 1/7 (pow x 6))
(*.f32 #s(literal 1/7 binary32) (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) (.f32 (.f32 x x) (*.f32 x x))))) (pow.f32 x #s(literal 6 binary32)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (*.f32 x x))))) (pow.f32 x #s(literal 6 binary32)))
(* 1/7 (pow x 6))
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 6 binary32)))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (pow.f32 x #s(literal 6 binary32)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (*.f32 x x))))) (pow.f32 x #s(literal 6 binary32)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (*.f32 x x))))) (pow.f32 x #s(literal 6 binary32)))
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))
(* 1/3 (pow x 3))
(.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))
(* 1/3 (pow x 3))
(.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))
(* 1/3 (pow x 3))
(.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32))))
(* 1/3 (pow x 3))
(.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32))))
(* 1/3 (pow x 3))
(.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32))))
(* 1/3 (pow x 3))
(.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32))))
(* 1/3 (pow x 3))
(.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32))))
(* 1/3 (pow x 3))
(.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32))))
(* 1/3 (pow x 3))
(.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32))))
(* 1/3 (pow x 3))
(.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32))))
(* 1/3 (pow x 3))
(.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32))))
(* 1/3 (pow x 3))
(.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32))))
(* 1/3 (pow x 3))
(.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32))))
(* 1/3 (pow x 3))
(.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32))))
(* 1/3 (pow x 2))
(.f32 x (.f32 x #s(literal 1/3 binary32)))
(* 1/3 (pow x 2))
(.f32 x (.f32 x #s(literal 1/3 binary32)))
(* 1/3 (pow x 2))
(.f32 x (.f32 x #s(literal 1/3 binary32)))
(* 1/3 (pow x 2))
(.f32 x (.f32 x #s(literal 1/3 binary32)))
(* 1/3 (pow x 2))
(.f32 x (.f32 x #s(literal 1/3 binary32)))
(* 1/3 (pow x 2))
(.f32 x (.f32 x #s(literal 1/3 binary32)))
(* 1/3 (pow x 2))
(.f32 x (.f32 x #s(literal 1/3 binary32)))
(* 1/3 (pow x 2))
(.f32 x (.f32 x #s(literal 1/3 binary32)))
(* 1/3 (pow x 2))
(.f32 x (.f32 x #s(literal 1/3 binary32)))
(* 1/3 (pow x 2))
(.f32 x (.f32 x #s(literal 1/3 binary32)))
(* 1/3 (pow x 2))
(.f32 x (.f32 x #s(literal 1/3 binary32)))
(* 1/3 (pow x 2))
(.f32 x (.f32 x #s(literal 1/3 binary32)))
(* 1/3 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))
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 (* 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))))))
(* 1/5 (pow x 5))
(*.f32 #s(literal 1/5 binary32) (pow.f32 x #s(literal 5 binary32)))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (pow.f32 x #s(literal 5 binary32)))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f32 (pow.f32 x #s(literal 5 binary32)) (+.f32 #s(literal 1/5 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 x x)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (*.f32 x x))))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f32 (pow.f32 x #s(literal 5 binary32)) (+.f32 #s(literal 1/5 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 x x)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (*.f32 x x))))))
(* 1/5 (pow x 5))
(*.f32 #s(literal 1/5 binary32) (pow.f32 x #s(literal 5 binary32)))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (pow.f32 x #s(literal 5 binary32)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) (.f32 x x)) #s(literal -1/3 binary32)) (*.f32 x x)) #s(literal -1/5 binary32)) (-.f32 #s(literal 0 binary32) (pow.f32 x #s(literal 5 binary32))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) (.f32 x x)) #s(literal -1/3 binary32)) (*.f32 x x)) #s(literal -1/5 binary32)) (-.f32 #s(literal 0 binary32) (pow.f32 x #s(literal 5 binary32))))
(* 1/3 (pow x 3))
(.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32))))
(* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))
(.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32)))))
(* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))
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(+.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) x))
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) #s(literal -2 binary32)) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) x)))
-1
#s(literal -1 binary32)
(- (* 2 (/ 1 x)) 1)
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) x))
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)
(+.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) x))
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)
(-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) x)) x))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))
(* 1/7 (pow x 4))
(.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/7 binary32))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (.f32 (.f32 x x) (*.f32 x x)))
(* (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))) (.f32 (.f32 x x) (*.f32 x x)))
(* (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))) (.f32 (.f32 x x) (*.f32 x x)))
(* 1/7 (pow x 4))
(.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/7 binary32))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (.f32 (.f32 x x) (*.f32 x x)))
(* (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))) (.f32 (.f32 x x) (*.f32 x x)))
(* (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))) (.f32 (.f32 x 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))
(pow x 3)
(.f32 x (.f32 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 (.f32 x x) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (.f32 x #s(literal 2 binary32)))))
-2
#s(literal -2 binary32)
(* -1 (+ 2 (* 2 (/ 1 x))))
(+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(+.f32 #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 (/.f32 #s(literal -1 binary32) (.f32 x x)) #s(literal -1 binary32)))
-2
#s(literal -2 binary32)
(* -1 (+ 2 (* 2 (/ 1 x))))
(+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(+.f32 #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 (/.f32 #s(literal -1 binary32) (.f32 x x)) #s(literal -1 binary32)))
(* 4 (pow x 2))
(.f32 (.f32 x x) #s(literal 4 binary32))
(* (pow x 2) (+ 4 (* 8 x)))
(.f32 (.f32 x x) (+.f32 #s(literal 4 binary32) (*.f32 x #s(literal 8 binary32))))
(* (pow x 2) (+ 4 (* x (+ 8 (* 4 x)))))
(.f32 (.f32 x x) (+.f32 #s(literal 4 binary32) (.f32 x (+.f32 #s(literal 8 binary32) (.f32 x #s(literal 4 binary32))))))
(* (pow x 2) (+ 4 (* x (+ 8 (* 4 x)))))
(.f32 (.f32 x x) (+.f32 #s(literal 4 binary32) (.f32 x (+.f32 #s(literal 8 binary32) (.f32 x #s(literal 4 binary32))))))
(* 4 (pow x 4))
(.f32 #s(literal 4 binary32) (.f32 (.f32 x x) (.f32 x x)))
(* (pow x 4) (+ 4 (* 8 (/ 1 x))))
(.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) x)))
(* (pow x 4) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2)))))
(.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 (+.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) x)) (/.f32 #s(literal 4 binary32) (*.f32 x x))))
(* (pow x 4) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2)))))
(.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 (+.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) x)) (/.f32 #s(literal 4 binary32) (*.f32 x x))))
(* 4 (pow x 4))
(.f32 #s(literal 4 binary32) (.f32 (.f32 x x) (.f32 x x)))
(* (pow x 4) (+ 4 (* 8 (/ 1 x))))
(.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) x)))
(* (pow x 4) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2)))))
(.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 (+.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) x)) (/.f32 #s(literal 4 binary32) (*.f32 x x))))
(* (pow x 4) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2)))))
(.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 (+.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) x)) (/.f32 #s(literal 4 binary32) (*.f32 x x))))
x
(* x (+ 1 x))
(*.f32 x (+.f32 x #s(literal 1 binary32)))
(* x (+ 1 x))
(*.f32 x (+.f32 x #s(literal 1 binary32)))
(* x (+ 1 x))
(*.f32 x (+.f32 x #s(literal 1 binary32)))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f32 x (+.f32 x #s(literal 1 binary32)))
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f32 x (+.f32 x #s(literal 1 binary32)))
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f32 x (+.f32 x #s(literal 1 binary32)))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f32 x (+.f32 x #s(literal 1 binary32)))
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f32 x (+.f32 x #s(literal 1 binary32)))
(* (pow x 2) (+ 1 (/ 1 x)))
(*.f32 x (+.f32 x #s(literal 1 binary32)))

eval179.0ms (2.3%)

Compiler: Compiled 81513 to 3624 computations (95.6% saved)

prune232.0ms (2.9%)

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	1498	3	1501
Fresh	0	0	0
Picked	2	3	5
Done	0	4	4
Total	1500	10	1510

Accuracy

100.0%

Counts

1510 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.1%	(/.f32 (-.f32 (.f32 x x) (.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (-.f32 x (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
▶	63.3%	(/.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal -1/9 binary32) (.f32 x (.f32 x #s(literal -2/15 binary32))))))) (-.f32 x (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
✓	99.2%	(+.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32))) (.f32 x (*.f32 x x))) x)
✓	99.4%	(+.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) x)
✓	98.8%	(+.f32 (.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32)))) x)
✓	99.2%	(.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))))))
✓	99.4%	(.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)))))))))
▶	23.8%	(.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/2 binary32) x))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x)))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))))
✓	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
✓	97.4%	x

Compiler

Compiled 253 to 126 computations (50.2% saved)

simplify256.0ms (3.2%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))
✓	cost-diff	0	(*.f32 x x)
✓	cost-diff	64	(-.f32 (.f32 x x) (.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))))
✓	cost-diff	64	(/.f32 (-.f32 (.f32 x x) (.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (-.f32 x (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal -1/9 binary32) (.f32 x (.f32 x #s(literal -2/15 binary32))))))
✓	cost-diff	0	(*.f32 x x)
✓	cost-diff	0	(.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal -1/9 binary32) (.f32 x (.f32 x #s(literal -2/15 binary32)))))))
✓	cost-diff	0	(/.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal -1/9 binary32) (.f32 x (.f32 x #s(literal -2/15 binary32))))))) (-.f32 x (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
✓	cost-diff	128	(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/2 binary32) x))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x)))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (-.f32 #s(literal 1 binary32) (.f32 x x))))))
✓	cost-diff	128	(log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/2 binary32) x))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x)))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (-.f32 #s(literal 1 binary32) (.f32 x x)))))))
✓	cost-diff	128	(neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/2 binary32) x))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x)))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (-.f32 #s(literal 1 binary32) (.f32 x x))))))))
✓	cost-diff	160	(.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/2 binary32) x))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x)))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))))

Rules

6086×	`-lowering-.f32`
6086×	`-lowering-.f64`
1488×	`+-lowering-+.f64`
1488×	`+-lowering-+.f32`
1444×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	635
1	189	553
2	804	519
3	4585	509
0	8066	509

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize415.0ms (5.3%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))
✓	accuracy	99.3%	(.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/7 binary32))))))
✓	accuracy	99.1%	(.f32 (.f32 x x) #s(literal 1/7 binary32))
✓	accuracy	63.8%	(/.f32 (-.f32 (.f32 x x) (.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (-.f32 x (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
✓	accuracy	99.4%	(.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))
✓	accuracy	99.1%	(.f32 (.f32 x x) #s(literal 1/7 binary32))
✓	accuracy	98.2%	(*.f32 x #s(literal -2/15 binary32))
✓	accuracy	63.8%	(/.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal -1/9 binary32) (.f32 x (.f32 x #s(literal -2/15 binary32))))))) (-.f32 x (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
✓	accuracy	99.8%	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x))
✓	accuracy	99.6%	(.f32 (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (.f32 #s(literal 2 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x))))
✓	accuracy	99.1%	(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/2 binary32) x))
✓	accuracy	23.8%	(log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/2 binary32) x))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x)))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (-.f32 #s(literal 1 binary32) (.f32 x x)))))))

Results

211.0ms	120×	1	valid
92.0ms	136×	0	valid

Compiler

Compiled 834 to 51 computations (93.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 171.0ms

ival-mult: 57.0ms (33.3% of total)

...c/correct-round.rkt:119:19: 33.0ms (19.3% of total)

ival-add: 22.0ms (12.8% of total)

ival-div: 20.0ms (11.7% of total)

backward-pass: 13.0ms (7.6% of total)

ival-sub: 12.0ms (7% of total)

ival-log: 10.0ms (5.8% of total)

ival-neg: 2.0ms (1.2% of total)

const: 1.0ms (0.6% of total)

series13.0ms (0.2%)

Counts

18 → 216

Calls

Call 1

Inputs
#<alt (* 1/2 (neg (log (/ (- 1 (/ (/ 1 (- 1 x)) (/ 1/2 x))) (- 1 (/ (* (* 2 (* x (+ 1 x))) (* 2 (* x (+ 1 x)))) (* (- 1 (* x x)) (- 1 (* x x)))))))))>
#<alt (neg (log (/ (- 1 (/ (/ 1 (- 1 x)) (/ 1/2 x))) (- 1 (/ (* (* 2 (* x (+ 1 x))) (* 2 (* x (+ 1 x)))) (* (- 1 (* x x)) (- 1 (* x x))))))))>
#<alt (log (/ (- 1 (/ (/ 1 (- 1 x)) (/ 1/2 x))) (- 1 (/ (* (* 2 (* x (+ 1 x))) (* 2 (* x (+ 1 x)))) (* (- 1 (* x x)) (- 1 (* x x)))))))>
#<alt (/ (- 1 (/ (/ 1 (- 1 x)) (/ 1/2 x))) (- 1 (/ (* (* 2 (* x (+ 1 x))) (* 2 (* x (+ 1 x)))) (* (- 1 (* x x)) (- 1 (* x x))))))>
#<alt (/ (* (* x x) (+ 1 (* (* (* x x) (* x x)) (+ -1/9 (* x (* x -2/15)))))) (- x (* x (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))))))>
#<alt (* (* x x) (+ 1 (* (* (* x x) (* x x)) (+ -1/9 (* x (* x -2/15))))))>
#<alt (* x x)>
#<alt (+ 1 (* (* (* x x) (* x x)) (+ -1/9 (* x (* x -2/15)))))>
#<alt (/ (- (* x x) (* (* x (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))) (* x (* (* x x) (+ 1/3 (* x (* x (* (* x x) 1/7)))))))) (- x (* x (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))))))>
#<alt (- (* x x) (* (* x (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))) (* x (* (* x x) (+ 1/3 (* x (* x (* (* x x) 1/7))))))))>
#<alt (* (* x (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))) (* x (* (* x x) (+ 1/3 (* x (* x (* (* x x) 1/7)))))))>
#<alt (/ (/ 1 (- 1 x)) (/ 1/2 x))>
#<alt (* (* 2 (* x (+ 1 x))) (* 2 (* x (+ 1 x))))>
#<alt (/ 1 (- 1 x))>
#<alt (* x -2/15)>
#<alt (* (* x x) 1/7)>
#<alt (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))>
#<alt (* (* x x) (+ 1/3 (* x (* x (* (* x x) 1/7)))))>

Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* -1/2 (log -1))>
#<alt (+ (* -1/2 (log -1)) (/ 1 x))>
#<alt (+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))>
#<alt (* -1/2 (log -1))>
#<alt (+ (* -1/2 (log -1)) (/ 1 x))>
#<alt (+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* -1/2 (log -1)))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))>
#<alt (* -1 (log -1))>
#<alt (- (* 2 (/ 1 x)) (log -1))>
#<alt (- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))>
#<alt (- (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))) (log -1))>
#<alt (* -1 (log -1))>
#<alt (- (* 2 (/ 1 x)) (log -1))>
#<alt (- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))>
#<alt (- (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) (log -1))>
#<alt (* -2 x)>
#<alt (* x (- (* -2/3 (pow x 2)) 2))>
#<alt (* x (- (* (pow x 2) (- (* -2/5 (pow x 2)) 2/3)) 2))>
#<alt (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2/7 (pow x 2)) 2/5)) 2/3)) 2))>
#<alt (log -1)>
#<alt (- (log -1) (* 2 (/ 1 x)))>
#<alt (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x)))>
#<alt (- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 3)))) (* 2 (/ 1 x)))>
#<alt (log -1)>
#<alt (- (log -1) (* 2 (/ 1 x)))>
#<alt (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x)))>
#<alt (+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow x 4)) (* 2/3 (/ 1 (pow x 2))))) x)))>
#<alt 1>
#<alt (+ 1 (* -2 x))>
#<alt (+ 1 (* x (- (* 2 x) 2)))>
#<alt (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))>
#<alt -1>
#<alt (- (* 2 (/ 1 x)) 1)>
#<alt (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))>
#<alt (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))>
#<alt -1>
#<alt (- (* 2 (/ 1 x)) 1)>
#<alt (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 14/15 x)>
#<alt (* x (- 14/15 (* 119/225 (/ 1 (pow x 2)))))>
#<alt (* x (+ 14/15 (* -1 (/ (+ 119/225 (* 539/375 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 14/15 (* 46907/16875 (/ 1 (pow x 6)))) (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4)))))>
#<alt (* 14/15 x)>
#<alt (* -1 (* x (- (* 119/225 (/ 1 (pow x 2))) 14/15)))>
#<alt (* -1 (* x (- (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4))) 14/15)))>
#<alt (* -1 (* x (- (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4))) (+ 14/15 (* 46907/16875 (/ 1 (pow x 6)))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1/9 (pow x 4))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9))))>
#<alt (* -2/15 (pow x 8))>
#<alt (* -1 (* (pow x 8) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))>
#<alt (* -2/15 (pow x 8))>
#<alt (* -1 (* (pow x 8) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 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 1>
#<alt (+ 1 (* -1/9 (pow x 4)))>
#<alt (+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9)))>
#<alt (+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9)))>
#<alt (* -2/15 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))>
#<alt (* -2/15 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))>
#<alt 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 (* 22/105 (pow x 2))))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/3 (/ 1 (pow x 4)))))>
#<alt (* (pow x 7) (+ 1/7 (+ (* 1/3 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))>
#<alt (* (pow x 7) (- (+ 1/7 (+ (* 1/3 (/ 1 (pow x 4))) (/ 1 (pow x 6)))) (* 7/5 (/ 1 (pow x 8)))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/3 (/ 1 (pow x 4)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) 1/7)))>
#<alt (* -1 (* (pow x 7) (- (* 7/5 (/ 1 (pow x 8))) (+ 1/7 (+ (* 1/3 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1/9 (pow x 4))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 4) (- (* -1/15 (pow x 2)) 1/9))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -2/21 (pow x 2)) 1/15)) 1/9))))>
#<alt (* -1/49 (pow x 14))>
#<alt (* -1 (* (pow x 14) (+ 1/49 (* 1/35 (/ 1 (pow x 2))))))>
#<alt (* (pow x 14) (- (* -1 (/ (+ 1/35 (* 2/21 (/ 1 (pow x 2)))) (pow x 2))) 1/49))>
#<alt (* (pow x 14) (- (* -1 (/ (+ 2/21 (* 1/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 1/35 (/ 1 (pow x 2))))))>
#<alt (* -1/49 (pow x 14))>
#<alt (* -1 (* (pow x 14) (+ 1/49 (* 1/35 (/ 1 (pow x 2))))))>
#<alt (* (pow x 14) (- (* -1 (/ (+ 1/35 (* 2/21 (/ 1 (pow x 2)))) (pow x 2))) 1/49))>
#<alt (* (pow x 14) (- (* -1 (/ (+ 2/21 (* 1/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 1/35 (/ 1 (pow x 2))))))>
#<alt (* 1/9 (pow x 6))>
#<alt (* (pow x 6) (+ 1/9 (* 1/15 (pow x 2))))>
#<alt (* (pow x 6) (+ 1/9 (* (pow x 2) (+ 1/15 (* 2/21 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/9 (* (pow x 2) (+ 1/15 (* (pow x 2) (+ 2/21 (* 1/35 (pow x 2))))))))>
#<alt (* 1/49 (pow x 14))>
#<alt (* (pow x 14) (+ 1/49 (* 1/35 (/ 1 (pow x 2)))))>
#<alt (* (pow x 14) (+ 1/49 (+ (/ 2/21 (pow x 4)) (* 1/35 (/ 1 (pow x 2))))))>
#<alt (* (pow x 14) (+ 1/49 (+ (/ 2/21 (pow x 4)) (+ (* 1/35 (/ 1 (pow x 2))) (* 1/15 (/ 1 (pow x 6)))))))>
#<alt (* 1/49 (pow x 14))>
#<alt (* (pow x 14) (+ 1/49 (* 1/35 (/ 1 (pow x 2)))))>
#<alt (* (pow x 14) (+ 1/49 (+ (/ 2/21 (pow x 4)) (* 1/35 (/ 1 (pow x 2))))))>
#<alt (* (pow x 14) (+ 1/49 (+ (/ 2/21 (pow x 4)) (+ (* 1/35 (/ 1 (pow x 2))) (* 1/15 (/ 1 (pow x 6)))))))>
#<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 (* 4 (pow x 2))>
#<alt (* (pow x 2) (+ 4 (* 8 x)))>
#<alt (* (pow x 2) (+ 4 (* x (+ 8 (* 4 x)))))>
#<alt (* (pow x 2) (+ 4 (* x (+ 8 (* 4 x)))))>
#<alt (* 4 (pow x 4))>
#<alt (* (pow x 4) (+ 4 (* 8 (/ 1 x))))>
#<alt (* (pow x 4) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2)))))>
#<alt (* (pow x 4) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2)))))>
#<alt (* 4 (pow x 4))>
#<alt (* (pow x 4) (+ 4 (* 8 (/ 1 x))))>
#<alt (* (pow x 4) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2)))))>
#<alt (* (pow x 4) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 x)))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1 x)))))>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x))>
#<alt (* -2/15 x)>
#<alt (* -2/15 x)>
#<alt (* -2/15 x)>
#<alt (* -2/15 x)>
#<alt (* -2/15 x)>
#<alt (* -2/15 x)>
#<alt (* -2/15 x)>
#<alt (* -2/15 x)>
#<alt (* -2/15 x)>
#<alt (* -2/15 x)>
#<alt (* -2/15 x)>
#<alt (* -2/15 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 (* 1/3 (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 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 1/7 (pow x 4))))>
#<alt (* (pow x 2) (+ 1/3 (* 1/7 (pow x 4))))>
#<alt (* (pow x 2) (+ 1/3 (* 1/7 (pow x 4))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/3 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/7 (* 1/3 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/7 (* 1/3 (/ 1 (pow x 4)))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/3 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/7 (* 1/3 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/7 (* 1/3 (/ 1 (pow x 4)))))>

Calls

54 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/ (- (* x x) (* (* x (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))) (* x (* (* x x) (+ 1/3 (* x (* x (* (* x x) 1/7)))))))) (- x (* x (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))))))
1.0ms	x	@	inf	(/ (- (* x x) (* (* x (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))) (* x (* (* x x) (+ 1/3 (* x (* x (* (* x x) 1/7)))))))) (- x (* x (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))))))
1.0ms	x	@	inf	(/ (* (* x x) (+ 1 (* (* (* x x) (* x x)) (+ -1/9 (* x (* x -2/15)))))) (- x (* x (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))))))
1.0ms	x	@	inf	(* (* x x) (+ 1/3 (* x (* x (* (* x x) 1/7)))))
1.0ms	x	@	inf	(* (* x x) (+ 1 (* (* (* x x) (* x x)) (+ -1/9 (* x (* x -2/15))))))

rewrite368.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

4160×	`-lowering-.f32`
4160×	`-lowering-.f64`
2480×	`fma-lowering-fma.f32`
2480×	`fma-lowering-fma.f64`
1704×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	349
1	375	292
2	3756	281
0	8536	281

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 432

Calls

Call 1

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

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

simplify325.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

4198×	`+-lowering-+.f64`
4198×	`+-lowering-+.f32`
3894×	`-lowering-.f32`
3894×	`-lowering-.f64`
1464×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	373	2107
1	1199	1850
2	3589	1798
3	7911	1798
0	8551	1798

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

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))))))))
(* -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))
(* -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)) (log -1))
(* -2 x)
(* x (- (* -2/3 (pow x 2)) 2))
(* x (- (* (pow x 2) (- (* -2/5 (pow x 2)) 2/3)) 2))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2/7 (pow x 2)) 2/5)) 2/3)) 2))
(log -1)
(- (log -1) (* 2 (/ 1 x)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x)))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 3)))) (* 2 (/ 1 x)))
(log -1)
(- (log -1) (* 2 (/ 1 x)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow x 2)))) x)))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow x 4)) (* 2/3 (/ 1 (pow x 2))))) x)))
1
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))
-1
(- (* 2 (/ 1 x)) 1)
(- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))
-1
(- (* 2 (/ 1 x)) 1)
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 14/15 x)
(* x (- 14/15 (* 119/225 (/ 1 (pow x 2)))))
(* x (+ 14/15 (* -1 (/ (+ 119/225 (* 539/375 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 14/15 (* 46907/16875 (/ 1 (pow x 6)))) (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4)))))
(* 14/15 x)
(* -1 (* x (- (* 119/225 (/ 1 (pow x 2))) 14/15)))
(* -1 (* x (- (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4))) 14/15)))
(* -1 (* x (- (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4))) (+ 14/15 (* 46907/16875 (/ 1 (pow x 6)))))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/9 (pow x 4))))
(* (pow x 2) (+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9))))
(* (pow x 2) (+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9))))
(* -2/15 (pow x 8))
(* -1 (* (pow x 8) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))
(* (pow x 8) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))
(* (pow x 8) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))
(* -2/15 (pow x 8))
(* -1 (* (pow x 8) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))
(* (pow x 8) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))
(* (pow x 8) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 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)
1
(+ 1 (* -1/9 (pow x 4)))
(+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9)))
(+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9)))
(* -2/15 (pow x 6))
(* -1 (* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))
(* -2/15 (pow x 6))
(* -1 (* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))
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 (* 22/105 (pow x 2))))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/3 (/ 1 (pow x 4)))))
(* (pow x 7) (+ 1/7 (+ (* 1/3 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))
(* (pow x 7) (- (+ 1/7 (+ (* 1/3 (/ 1 (pow x 4))) (/ 1 (pow x 6)))) (* 7/5 (/ 1 (pow x 8)))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/3 (/ 1 (pow x 4)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) 1/7)))
(* -1 (* (pow x 7) (- (* 7/5 (/ 1 (pow x 8))) (+ 1/7 (+ (* 1/3 (/ 1 (pow x 4))) (/ 1 (pow x 6)))))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/9 (pow x 4))))
(* (pow x 2) (+ 1 (* (pow x 4) (- (* -1/15 (pow x 2)) 1/9))))
(* (pow x 2) (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -2/21 (pow x 2)) 1/15)) 1/9))))
(* -1/49 (pow x 14))
(* -1 (* (pow x 14) (+ 1/49 (* 1/35 (/ 1 (pow x 2))))))
(* (pow x 14) (- (* -1 (/ (+ 1/35 (* 2/21 (/ 1 (pow x 2)))) (pow x 2))) 1/49))
(* (pow x 14) (- (* -1 (/ (+ 2/21 (* 1/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 1/35 (/ 1 (pow x 2))))))
(* -1/49 (pow x 14))
(* -1 (* (pow x 14) (+ 1/49 (* 1/35 (/ 1 (pow x 2))))))
(* (pow x 14) (- (* -1 (/ (+ 1/35 (* 2/21 (/ 1 (pow x 2)))) (pow x 2))) 1/49))
(* (pow x 14) (- (* -1 (/ (+ 2/21 (* 1/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 1/35 (/ 1 (pow x 2))))))
(* 1/9 (pow x 6))
(* (pow x 6) (+ 1/9 (* 1/15 (pow x 2))))
(* (pow x 6) (+ 1/9 (* (pow x 2) (+ 1/15 (* 2/21 (pow x 2))))))
(* (pow x 6) (+ 1/9 (* (pow x 2) (+ 1/15 (* (pow x 2) (+ 2/21 (* 1/35 (pow x 2))))))))
(* 1/49 (pow x 14))
(* (pow x 14) (+ 1/49 (* 1/35 (/ 1 (pow x 2)))))
(* (pow x 14) (+ 1/49 (+ (/ 2/21 (pow x 4)) (* 1/35 (/ 1 (pow x 2))))))
(* (pow x 14) (+ 1/49 (+ (/ 2/21 (pow x 4)) (+ (* 1/35 (/ 1 (pow x 2))) (* 1/15 (/ 1 (pow x 6)))))))
(* 1/49 (pow x 14))
(* (pow x 14) (+ 1/49 (* 1/35 (/ 1 (pow x 2)))))
(* (pow x 14) (+ 1/49 (+ (/ 2/21 (pow x 4)) (* 1/35 (/ 1 (pow x 2))))))
(* (pow x 14) (+ 1/49 (+ (/ 2/21 (pow x 4)) (+ (* 1/35 (/ 1 (pow x 2))) (* 1/15 (/ 1 (pow x 6)))))))
(* 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)
(* 4 (pow x 2))
(* (pow x 2) (+ 4 (* 8 x)))
(* (pow x 2) (+ 4 (* x (+ 8 (* 4 x)))))
(* (pow x 2) (+ 4 (* x (+ 8 (* 4 x)))))
(* 4 (pow x 4))
(* (pow x 4) (+ 4 (* 8 (/ 1 x))))
(* (pow x 4) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2)))))
(* (pow x 4) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2)))))
(* 4 (pow x 4))
(* (pow x 4) (+ 4 (* 8 (/ 1 x))))
(* (pow x 4) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2)))))
(* (pow x 4) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2)))))
1
(+ 1 x)
(+ 1 (* x (+ 1 x)))
(+ 1 (* x (+ 1 (* x (+ 1 x)))))
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)
(/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x))
(* -2/15 x)
(* -2/15 x)
(* -2/15 x)
(* -2/15 x)
(* -2/15 x)
(* -2/15 x)
(* -2/15 x)
(* -2/15 x)
(* -2/15 x)
(* -2/15 x)
(* -2/15 x)
(* -2/15 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))
(* 1/3 (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 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/7 (pow x 4))))
(* (pow x 2) (+ 1/3 (* 1/7 (pow x 4))))
(* (pow x 2) (+ 1/3 (* 1/7 (pow x 4))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/3 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/7 (* 1/3 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/7 (* 1/3 (/ 1 (pow x 4)))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/3 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/7 (* 1/3 (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/7 (* 1/3 (/ 1 (pow x 4)))))

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 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 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))
(* -1/2 (log -1))
(*.f32 #s(literal -1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* -1/2 (log -1)) (/ 1 x))
(+.f32 (*.f32 #s(literal -1/2 binary32) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) x))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (.f32 #s(literal -1/2 binary32) (log.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x x)))))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x))) (+.f32 (*.f32 #s(literal -1/2 binary32) (log.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/5 binary32) (pow.f32 x #s(literal 5 binary32))))))
(* -1/2 (log -1))
(*.f32 #s(literal -1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* -1/2 (log -1)) (/ 1 x))
(+.f32 (*.f32 #s(literal -1/2 binary32) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) x))
(+ (* -1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (.f32 #s(literal -1/2 binary32) (log.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x x)))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* -1/2 (log -1)))
(-.f32 (.f32 #s(literal -1/2 binary32) (log.f32 #s(literal -1 binary32))) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/3 binary32) (/.f32 #s(literal -1/5 binary32) (.f32 x x))) (*.f32 x x))) x))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2/3 (pow x 2))))
(.f32 x (+.f32 #s(literal 2 binary32) (.f32 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 (*.f32 x x) #s(literal 2/5 binary32))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(.f32 x (+.f32 #s(literal 2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 2/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 2/5 binary32) (.f32 x (*.f32 x #s(literal 2/7 binary32)))))))))
(* -1 (log -1))
(neg.f32 (log.f32 #s(literal -1 binary32)))
(- (* 2 (/ 1 x)) (log -1))
(-.f32 (/.f32 #s(literal 2 binary32) x) (log.f32 #s(literal -1 binary32)))
(- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))
(+.f32 (/.f32 #s(literal 2 binary32) x) (-.f32 (/.f32 #s(literal 2/3 binary32) (.f32 x (.f32 x x))) (log.f32 #s(literal -1 binary32))))
(- (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))) (log -1))
(+.f32 (/.f32 #s(literal 2 binary32) x) (+.f32 (/.f32 #s(literal 2/3 binary32) (.f32 x (.f32 x x))) (-.f32 (/.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 5 binary32))) (log.f32 #s(literal -1 binary32)))))
(* -1 (log -1))
(neg.f32 (log.f32 #s(literal -1 binary32)))
(- (* 2 (/ 1 x)) (log -1))
(-.f32 (/.f32 #s(literal 2 binary32) x) (log.f32 #s(literal -1 binary32)))
(- (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))) (log -1))
(+.f32 (/.f32 #s(literal 2 binary32) x) (-.f32 (/.f32 #s(literal 2/3 binary32) (.f32 x (.f32 x x))) (log.f32 #s(literal -1 binary32))))
(- (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)) (log -1))
(-.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -2/3 binary32) (/.f32 #s(literal -2/5 binary32) (.f32 x x))) (.f32 x x)) #s(literal -2 binary32)) (neg.f32 x)) (log.f32 #s(literal -1 binary32)))
(* -2 x)
(*.f32 x #s(literal -2 binary32))
(* x (- (* -2/3 (pow x 2)) 2))
(.f32 x (+.f32 #s(literal -2 binary32) (.f32 (*.f32 x x) #s(literal -2/3 binary32))))
(* x (- (* (pow x 2) (- (* -2/5 (pow x 2)) 2/3)) 2))
(.f32 x (+.f32 #s(literal -2 binary32) (.f32 x (.f32 x (+.f32 #s(literal -2/3 binary32) (.f32 x (*.f32 x #s(literal -2/5 binary32))))))))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -2/7 (pow x 2)) 2/5)) 2/3)) 2))
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(-.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 (/.f32 #s(literal -1 binary32) (.f32 x x)) #s(literal -1 binary32)))
-2
#s(literal -2 binary32)
(* -1 (+ 2 (* 2 (/ 1 x))))
(-.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(-.f32 #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 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) x)) x))
(* 4 (pow x 2))
(.f32 x (.f32 x #s(literal 4 binary32)))
(* (pow x 2) (+ 4 (* 8 x)))
(.f32 (.f32 x x) (+.f32 #s(literal 4 binary32) (*.f32 x #s(literal 8 binary32))))
(* (pow x 2) (+ 4 (* x (+ 8 (* 4 x)))))
(.f32 (.f32 x x) (+.f32 #s(literal 4 binary32) (.f32 x (+.f32 #s(literal 8 binary32) (.f32 x #s(literal 4 binary32))))))
(* (pow x 2) (+ 4 (* x (+ 8 (* 4 x)))))
(.f32 (.f32 x x) (+.f32 #s(literal 4 binary32) (.f32 x (+.f32 #s(literal 8 binary32) (.f32 x #s(literal 4 binary32))))))
(* 4 (pow x 4))
(.f32 #s(literal 4 binary32) (.f32 (.f32 x x) (.f32 x x)))
(* (pow x 4) (+ 4 (* 8 (/ 1 x))))
(.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) x)))
(* (pow x 4) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2)))))
(.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 (/.f32 #s(literal 8 binary32) x) (+.f32 #s(literal 4 binary32) (/.f32 #s(literal 4 binary32) (*.f32 x x)))))
(* (pow x 4) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2)))))
(.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 (/.f32 #s(literal 8 binary32) x) (+.f32 #s(literal 4 binary32) (/.f32 #s(literal 4 binary32) (*.f32 x x)))))
(* 4 (pow x 4))
(.f32 #s(literal 4 binary32) (.f32 (.f32 x x) (.f32 x x)))
(* (pow x 4) (+ 4 (* 8 (/ 1 x))))
(.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal 4 binary32) (/.f32 #s(literal 8 binary32) x)))
(* (pow x 4) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2)))))
(.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 (/.f32 #s(literal 8 binary32) x) (+.f32 #s(literal 4 binary32) (/.f32 #s(literal 4 binary32) (*.f32 x x)))))
(* (pow x 4) (+ 4 (+ (* 8 (/ 1 x)) (/ 4 (pow x 2)))))
(.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 (/.f32 #s(literal 8 binary32) x) (+.f32 #s(literal 4 binary32) (/.f32 #s(literal 4 binary32) (*.f32 x x)))))
1
#s(literal 1 binary32)
(+ 1 x)
(+.f32 x #s(literal 1 binary32))
(+ 1 (* x (+ 1 x)))
(+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 x #s(literal 1 binary32))))
(+ 1 (* x (+ 1 (* x (+ 1 x)))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 x x)) (+.f32 x #s(literal 1 binary32)))
(/ -1 x)
(/.f32 #s(literal -1 binary32) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) x)) x)
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) x)) x)) x)
(/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) x)) x)) x)) x)
(/ -1 x)
(/.f32 #s(literal -1 binary32) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) x)) x)
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))
(/.f32 (+.f32 (/.f32 #s(literal -1 binary32) x) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 x x)))) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) x)) x)) x)) (neg.f32 x))
(* -2/15 x)
(*.f32 x #s(literal -2/15 binary32))
(* -2/15 x)
(*.f32 x #s(literal -2/15 binary32))
(* -2/15 x)
(*.f32 x #s(literal -2/15 binary32))
(* -2/15 x)
(*.f32 x #s(literal -2/15 binary32))
(* -2/15 x)
(*.f32 x #s(literal -2/15 binary32))
(* -2/15 x)
(*.f32 x #s(literal -2/15 binary32))
(* -2/15 x)
(*.f32 x #s(literal -2/15 binary32))
(* -2/15 x)
(*.f32 x #s(literal -2/15 binary32))
(* -2/15 x)
(*.f32 x #s(literal -2/15 binary32))
(* -2/15 x)
(*.f32 x #s(literal -2/15 binary32))
(* -2/15 x)
(*.f32 x #s(literal -2/15 binary32))
(* -2/15 x)
(*.f32 x #s(literal -2/15 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* 1/3 (pow x 2))
(.f32 x (.f32 x #s(literal 1/3 binary32)))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x #s(literal 1/5 binary32)))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))
(* 1/7 (pow x 6))
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 6 binary32)))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (.f32 x x))) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (.f32 x x))) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x)))))
(* 1/7 (pow x 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 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (.f32 x x))) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (.f32 x x))) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x)))))
(* 1/3 (pow x 2))
(.f32 x (.f32 x #s(literal 1/3 binary32)))
(* (pow x 2) (+ 1/3 (* 1/7 (pow x 4))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/7 binary32))))))
(* (pow x 2) (+ 1/3 (* 1/7 (pow x 4))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/7 binary32))))))
(* (pow x 2) (+ 1/3 (* 1/7 (pow x 4))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/7 binary32))))))
(* 1/7 (pow x 6))
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 6 binary32)))
(* (pow x 6) (+ 1/7 (* 1/3 (/ 1 (pow x 4)))))
(.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (.f32 x x)))))
(* (pow x 6) (+ 1/7 (* 1/3 (/ 1 (pow x 4)))))
(.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (.f32 x x)))))
(* (pow x 6) (+ 1/7 (* 1/3 (/ 1 (pow x 4)))))
(.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (.f32 x x)))))
(* 1/7 (pow x 6))
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 6 binary32)))
(* (pow x 6) (+ 1/7 (* 1/3 (/ 1 (pow x 4)))))
(.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (.f32 x x)))))
(* (pow x 6) (+ 1/7 (* 1/3 (/ 1 (pow x 4)))))
(.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (.f32 x x)))))
(* (pow x 6) (+ 1/7 (* 1/3 (/ 1 (pow x 4)))))
(.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (.f32 x x)))))

eval141.0ms (1.8%)

Compiler: Compiled 68366 to 3238 computations (95.3% saved)

prune141.0ms (1.8%)

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	1100	4	1104
Fresh	0	0	0
Picked	2	1	3
Done	0	7	7
Total	1102	12	1114

Accuracy

100.0%

Counts

1114 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	63.3%	(/.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal -1/9 binary32) (.f32 x (.f32 x #s(literal -2/15 binary32))))))) (-.f32 x (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
	63.1%	(/.f32 (.f32 x (-.f32 x (.f32 x (.f32 (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/7 binary32)))) (.f32 x (.f32 x x))))))) (-.f32 x (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))))
✓	99.2%	(+.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32))) (.f32 x (*.f32 x x))) x)
✓	99.4%	(+.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) x)
✓	98.8%	(+.f32 (.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32)))) x)
	59.1%	(.f32 (/.f32 (.f32 x (-.f32 x (.f32 x (.f32 (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/7 binary32)))) (.f32 x (.f32 x x))))))) (.f32 (.f32 (+.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) #s(literal 1 binary32)) x) (-.f32 x (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))))) (.f32 (+.f32 (.f32 x (.f32 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))
	23.5%	(.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -4 binary32) (.f32 (+.f32 #s(literal 1 binary32) x) (.f32 x (.f32 x (+.f32 #s(literal 1 binary32) x))))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (-.f32 #s(literal 1 binary32) (.f32 x x))))) (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 x #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) x))))) #s(literal 1/2 binary32))
✓	99.2%	(.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))))))
✓	99.4%	(.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)))))))))
	99.3%	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 22/105 binary32)))))))))
✓	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
✓	97.4%	x

Compiler

Compiled 1009 to 306 computations (69.7% saved)

regimes28.0ms (0.3%)

Counts

19 → 1

Calls

Call 1

Inputs
x
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(+.f32 (.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32)))) x)
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(+.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32))) (.f32 x (*.f32 x x))) x)
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 22/105 binary32)))))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
(+.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) x)
(/.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal -1/9 binary32) (.f32 x (.f32 x #s(literal -2/15 binary32))))))) (-.f32 x (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
(/.f32 (.f32 x (-.f32 x (.f32 x (.f32 (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/7 binary32)))) (.f32 x (.f32 x x))))))) (-.f32 x (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))))
(/.f32 (-.f32 (.f32 x x) (.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (-.f32 x (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
(/.f32 (-.f32 (.f32 x x) (.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (-.f32 x (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
(.f32 (/.f32 (.f32 x (-.f32 x (.f32 x (.f32 (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/7 binary32)))) (.f32 x (.f32 x x))))))) (.f32 (.f32 (+.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) #s(literal 1 binary32)) x) (-.f32 x (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))))) (.f32 (+.f32 (.f32 x (.f32 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))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 #s(literal 1 binary32) x))))
(.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -4 binary32) (.f32 (+.f32 #s(literal 1 binary32) x) (.f32 x (.f32 x (+.f32 #s(literal 1 binary32) x))))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (-.f32 #s(literal 1 binary32) (.f32 x x))))) (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 x #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) x))))) #s(literal 1/2 binary32))
(.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/2 binary32) x))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x)))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))))
(.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) x) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 #s(literal 2 binary32) x)))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x)))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))))
(.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32))))))

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

Calls

4 calls:

7.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
7.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
6.0ms	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
5.0ms	x

Results

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

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes8.0ms (0.1%)

Counts

13 → 1

Calls

Call 1

Inputs
x
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(+.f32 (.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32)))) x)
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(+.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32))) (.f32 x (*.f32 x x))) x)
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 22/105 binary32)))))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
(+.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) x)
(/.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal -1/9 binary32) (.f32 x (.f32 x #s(literal -2/15 binary32))))))) (-.f32 x (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
(/.f32 (.f32 x (-.f32 x (.f32 x (.f32 (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/7 binary32)))) (.f32 x (.f32 x x))))))) (-.f32 x (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))))
(/.f32 (-.f32 (.f32 x x) (.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (-.f32 x (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
(/.f32 (-.f32 (.f32 x x) (.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (-.f32 x (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
(.f32 (/.f32 (.f32 x (-.f32 x (.f32 x (.f32 (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/7 binary32)))) (.f32 x (.f32 x x))))))) (.f32 (.f32 (+.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) #s(literal 1 binary32)) x) (-.f32 x (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))))) (.f32 (+.f32 (.f32 x (.f32 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))

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
99.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

7 → 1

Calls

Call 1

Inputs
x
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(+.f32 (.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32)))) x)
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(+.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32))) (.f32 x (*.f32 x x))) x)
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 22/105 binary32)))))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

6 → 1

Calls

Call 1

Inputs
x
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(+.f32 (.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32)))) x)
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(+.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32))) (.f32 x (*.f32 x x))) x)
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 22/105 binary32)))))))))

Outputs
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 22/105 binary32)))))))))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
98.8%	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
97.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

52×	`*-commutative_binary32`
30×	`+-commutative_binary32`
4×	`sub-neg_binary32`
2×	`neg-sub0_binary32`
2×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	122
1	93	122
2	97	122
3	99	122
4	100	122

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 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) x)
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 22/105 binary32)))))))))
(+.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x 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 (.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32)))) x)
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
x

Outputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(+.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) x)
(+.f32 x (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 22/105 binary32)))))))))
(+.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32))) (.f32 x (*.f32 x x))) x)
(+.f32 x (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x 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 (.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32)))) x)
(+.f32 x (.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32)))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (*.f32 x x) #s(literal 1/3 binary32))))
x

soundness1.4s (17.6%)

Rules

4198×	`+-lowering-+.f64`
4198×	`+-lowering-+.f32`
3894×	`-lowering-.f32`
3894×	`-lowering-.f64`
3136×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	106	394
1	331	345
2	992	334
3	2914	331
4	5296	331
0	8411	331
0	32	180
1	218	162
2	2141	159
0	8697	159
0	373	2107
1	1199	1850
2	3589	1798
3	7911	1798
0	8551	1798
0	310	2597
1	1013	2232
2	2980	2188
3	6558	2188
0	8114	2188

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 357 to 178 computations (50.1% saved)

preprocess52.0ms (0.7%)

Compiler: Compiled 268 to 118 computations (56% 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

analyze4.0ms (0%)

sample639.0ms (8.1%)

preprocess30.0ms (0.4%)

explain142.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify27.0ms (0.3%)

localize79.0ms (1%)

series5.0ms (0.1%)

rewrite264.0ms (3.3%)

simplify257.0ms (3.3%)

eval15.0ms (0.2%)

prune21.0ms (0.3%)

simplify179.0ms (2.3%)

localize275.0ms (3.5%)

series36.0ms (0.5%)

rewrite367.0ms (4.6%)

simplify293.0ms (3.7%)

eval107.0ms (1.4%)

prune142.0ms (1.8%)

simplify267.0ms (3.4%)

localize390.0ms (4.9%)

series18.0ms (0.2%)

rewrite478.0ms (6.1%)

simplify283.0ms (3.6%)

eval179.0ms (2.3%)

prune232.0ms (2.9%)

simplify256.0ms (3.2%)

localize415.0ms (5.3%)

series13.0ms (0.2%)

rewrite368.0ms (4.7%)

simplify325.0ms (4.1%)

eval141.0ms (1.8%)

prune141.0ms (1.8%)

regimes28.0ms (0.3%)

regimes8.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify11.0ms (0.1%)

soundness1.4s (17.6%)

preprocess52.0ms (0.7%)

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