Metrics for Rust f32::atanh

analyze2.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 4 to 3 computations (25% saved)

Precisions

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

const: 0.0ms (0% of total)

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

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

sample434.0ms (4.3%)

Results

319.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-atanh: 95.0ms (90.7% of total)

const: 7.0ms (6.7% of total)

backward-pass: 3.0ms (2.9% of total)

Bogosity

preprocess31.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain220.0ms (2.2%)

FPErrors

Click to see full error table

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

Results

142.0ms	282×	1	valid
29.0ms	230×	0	valid

Compiler

Compiled 85 to 29 computations (65.9% saved)

Precisions

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

ival-mult: 25.0ms (24.8% of total)

compiled-spec: 25.0ms (24.8% of total)

backward-pass: 18.0ms (17.9% of total)

ival-log: 15.0ms (14.9% of total)

ival-div: 6.0ms (6% of total)

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

ival-sub: 4.0ms (4% of total)

const: 2.0ms (2% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.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)

simplify21.0ms (0.2%)

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)

localize94.0ms (0.9%)

Localize:

Found 4 expressions of interest:

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

Results

42.0ms	141×	1	valid
25.0ms	115×	0	valid

Compiler

Compiled 37 to 10 computations (73% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

compiled-spec: 13.0ms (29.5% of total)

ival-mult: 10.0ms (22.7% of total)

ival-log: 8.0ms (18.2% of total)

backward-pass: 5.0ms (11.4% of total)

ival-div: 3.0ms (6.8% of total)

ival-add: 2.0ms (4.5% of total)

ival-sub: 2.0ms (4.5% of total)

const: 1.0ms (2.3% of total)

series5.0ms (0%)

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite267.0ms (2.6%)

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))

simplify245.0ms (2.4%)

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 (0.1%)

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

prune30.0ms (0.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	145	10	155
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	145	11	156

Accuracy

100.0%

Counts

156 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.7%	(.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))))))
	98.3%	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
	97.1%	(.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 (.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))))))
	98.9%	(.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))))))
▶	99.6%	(.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) (+.f32 #s(literal 1 binary32) x)))))
	99.3%	(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/2 binary32) x))))
✓	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
▶	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (+.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)))))
▶	99.7%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x)))
▶	95.7%	x

Compiler

Compiled 383 to 239 computations (37.6% saved)

simplify269.0ms (2.7%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x)))
✓	cost-diff	256	(/.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)))
✓	cost-diff	256	(log1p.f32 (/.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))))
✓	cost-diff	256	(.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) (+.f32 #s(literal 1 binary32) x)))))
✓	cost-diff	0	(/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))
✓	cost-diff	0	(*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x)
✓	cost-diff	0	(log1p.f32 (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x))
✓	cost-diff	0	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x)))
✓	cost-diff	0	(*.f32 x x)
✓	cost-diff	0	(.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32))))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))))
✓	cost-diff	0	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
✓	cost-diff	64	(.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 1 binary32))
✓	cost-diff	512	(+.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)))
✓	cost-diff	512	(log1p.f32 (+.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))))
✓	cost-diff	512	(.f32 #s(literal 1/2 binary32) (log1p.f32 (+.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)))))

Rules

2348×	`-lowering-.f32`
2348×	`-lowering-.f64`
1908×	`/-lowering-/.f32`
1908×	`/-lowering-/.f64`
1510×	`fma-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	33	249
1	98	242
2	261	241
3	713	232
4	1357	232
5	1693	196
6	2575	196
7	7092	196
0	8095	196

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize320.0ms (3.2%)

Localize:

Found 16 expressions of interest:

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

Results

175.0ms	141×	1	valid
84.0ms	115×	0	valid

Compiler

Compiled 298 to 31 computations (89.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 158.0ms

compiled-spec: 40.0ms (25.3% of total)

ival-mult: 30.0ms (19% of total)

ival-log: 21.0ms (13.3% of total)

ival-add: 19.0ms (12% of total)

backward-pass: 17.0ms (10.8% of total)

...c/correct-round.rkt:119:19: 13.0ms (8.2% of total)

ival-div: 11.0ms (7% of total)

ival-sub: 4.0ms (2.5% of total)

const: 2.0ms (1.3% of total)

series12.0ms (0.1%)

Counts

20 → 240

Calls

Call 1

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

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

Calls

60 calls:

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

rewrite390.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3108×	`/-lowering-/.f32`
3108×	`/-lowering-/.f64`
2810×	`-lowering-.f32`
2810×	`-lowering-.f64`
1716×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	200
1	223	148
2	2294	147
0	8182	147

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 777

Calls

Call 1

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

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

simplify251.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

2842×	`-lowering-.f32`
2842×	`-lowering-.f64`
1884×	`fma-lowering-fma.f32`
1884×	`fma-lowering-fma.f64`
1712×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	197	2275
1	647	1915
2	1900	1846
3	5875	1843
0	8098	1843

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

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

eval120.0ms (1.2%)

Compiler: Compiled 33519 to 2802 computations (91.6% saved)

prune159.0ms (1.6%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	1213	6	1219
Fresh	4	1	5
Picked	2	3	5
Done	0	1	1
Total	1219	11	1230

Accuracy

100.0%

Counts

1230 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.8%	(+.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))) x)
▶	98.3%	(.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))))))))
✓	97.7%	(.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))))))
▶	97.1%	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (*.f32 x x) #s(literal 1/3 binary32))))
	98.9%	(.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))))))
	24.6%	(.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (.f32 (neg.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)))) (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))))) (log.f32 (-.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)))))))
▶	25.2%	(.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) (-.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) #s(literal 1 binary32)))) (+.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)))))))))
✓	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
✓	99.7%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x)))
▶	99.6%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 #s(literal 1 binary32) x)) x)))
✓	95.7%	x

Compiler

Compiled 376 to 219 computations (41.8% saved)

simplify183.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) (-.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) #s(literal 1 binary32)))) (+.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))))))
✓	cost-diff	0	(log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) (-.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) #s(literal 1 binary32)))) (+.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)))))))
✓	cost-diff	0	(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) (-.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) #s(literal 1 binary32)))) (+.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))))))))
✓	cost-diff	32	(.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) (-.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) #s(literal 1 binary32)))) (+.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)))))))))
✓	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 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))
✓	cost-diff	0	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))
✓	cost-diff	0	(*.f32 x 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 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32)))))
✓	cost-diff	0	(+.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))) x)
✓	cost-diff	0	(*.f32 x x)
✓	cost-diff	0	(.f32 (.f32 x x) #s(literal 1/3 binary32))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal 1/3 binary32)))
✓	cost-diff	0	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (*.f32 x x) #s(literal 1/3 binary32))))
✓	cost-diff	0	(.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 #s(literal 1 binary32) x))
✓	cost-diff	0	(.f32 (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 #s(literal 1 binary32) x)) x)
✓	cost-diff	0	(log1p.f32 (.f32 (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 #s(literal 1 binary32) x)) x))
✓	cost-diff	0	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 #s(literal 1 binary32) x)) x)))

Rules

2578×	`-lowering-.f32`
2578×	`-lowering-.f64`
1740×	`sum4-define`
1710×	`+-lowering-+.f64`
1710×	`+-lowering-+.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	48	470
1	161	433
2	506	427
3	1504	418
4	3520	401
0	8284	401

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* 1/2 (log (+ 1 (* (* (/ 2 (- 1 (* x x))) (+ 1 x)) x))))
1/2
(log (+ 1 (* (* (/ 2 (- 1 (* x x))) (+ 1 x)) x)))
(* (* (/ 2 (- 1 (* x x))) (+ 1 x)) x)
(* (/ 2 (- 1 (* x x))) (+ 1 x))
(/ 2 (- 1 (* x x)))
2
(- 1 (* x x))
1
(* x x)
x
(+ 1 x)
(* x (+ 1 (* (* x x) 1/3)))
x
(+ 1 (* (* x x) 1/3))
1
(* (* x x) 1/3)
(* x x)
1/3
(+ (* x (* (* x x) (+ 1/3 (* (* x x) 1/5)))) x)
(* x (* (* x x) (+ 1/3 (* (* x x) 1/5))))
x
(* (* x x) (+ 1/3 (* (* x x) 1/5)))
(* x x)
(+ 1/3 (* (* x x) 1/5))
1/3
(* (* x x) 1/5)
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)))
(+ 1/5 (* (* x x) 1/7))
1/5
(* (* x x) 1/7)
1/7
(* 1/2 (neg (log (/ (+ 1 (* (/ x (/ (- 1 x) 2)) (- (/ x (/ (- 1 x) 2)) 1))) (+ 1 (/ (* (* x (* x x)) 8) (* (- 1 x) (* (- 1 x) (- 1 x)))))))))
1/2
(neg (log (/ (+ 1 (* (/ x (/ (- 1 x) 2)) (- (/ x (/ (- 1 x) 2)) 1))) (+ 1 (/ (* (* x (* x x)) 8) (* (- 1 x) (* (- 1 x) (- 1 x))))))))
(log (/ (+ 1 (* (/ x (/ (- 1 x) 2)) (- (/ x (/ (- 1 x) 2)) 1))) (+ 1 (/ (* (* x (* x x)) 8) (* (- 1 x) (* (- 1 x) (- 1 x)))))))
(/ (+ 1 (* (/ x (/ (- 1 x) 2)) (- (/ x (/ (- 1 x) 2)) 1))) (+ 1 (/ (* (* x (* x x)) 8) (* (- 1 x) (* (- 1 x) (- 1 x))))))
(+ 1 (* (/ x (/ (- 1 x) 2)) (- (/ x (/ (- 1 x) 2)) 1)))
1
(* (/ x (/ (- 1 x) 2)) (- (/ x (/ (- 1 x) 2)) 1))
(/ x (/ (- 1 x) 2))
x
(/ (- 1 x) 2)
(- 1 x)
2
(- (/ x (/ (- 1 x) 2)) 1)
(+ 1 (/ (* (* x (* x x)) 8) (* (- 1 x) (* (- 1 x) (- 1 x)))))
(/ (* (* x (* x x)) 8) (* (- 1 x) (* (- 1 x) (- 1 x))))
(* (* x (* x x)) 8)
(* x (* x x))
(* x x)
8
(* (- 1 x) (* (- 1 x) (- 1 x)))
(* (- 1 x) (- 1 x))

Outputs
(* 1/2 (log (+ 1 (* (* (/ 2 (- 1 (* x x))) (+ 1 x)) x))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (.f32 x x)))))
1/2
#s(literal 1/2 binary32)
(log (+ 1 (* (* (/ 2 (- 1 (* x x))) (+ 1 x)) x)))
(log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(* (* (/ 2 (- 1 (* x x))) (+ 1 x)) x)
(/.f32 (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(* (/ 2 (- 1 (* x x))) (+ 1 x))
(/.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) x)) (-.f32 #s(literal 1 binary32) (.f32 x x)))
(/ 2 (- 1 (* x x)))
(/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
2
#s(literal 2 binary32)
(- 1 (* x x))
(-.f32 #s(literal 1 binary32) (*.f32 x x))
1
#s(literal 1 binary32)
(* x x)
(*.f32 x x)
x
(+ 1 x)
(+.f32 #s(literal 1 binary32) x)
(* x (+ 1 (* (* x x) 1/3)))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (*.f32 x x) #s(literal 1/3 binary32))))
x
(+ 1 (* (* x x) 1/3))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal 1/3 binary32)))
1
#s(literal 1 binary32)
(* (* x x) 1/3)
(.f32 (.f32 x x) #s(literal 1/3 binary32))
(* x x)
(*.f32 x x)
1/3
#s(literal 1/3 binary32)
(+ (* x (* (* x x) (+ 1/3 (* (* x x) 1/5)))) x)
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(* x (* (* x x) (+ 1/3 (* (* x x) 1/5))))
(.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32)))))
x
(* (* x x) (+ 1/3 (* (* x x) 1/5)))
(.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32))))
(* x x)
(*.f32 x x)
(+ 1/3 (* (* x x) 1/5))
(+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))
1/3
#s(literal 1/3 binary32)
(* (* x x) 1/5)
(.f32 (.f32 x x) #s(literal 1/5 binary32))
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)))))
(+ 1/5 (* (* x x) 1/7))
(+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))
1/5
#s(literal 1/5 binary32)
(* (* x x) 1/7)
(.f32 (.f32 x x) #s(literal 1/7 binary32))
1/7
#s(literal 1/7 binary32)
(* 1/2 (neg (log (/ (+ 1 (* (/ x (/ (- 1 x) 2)) (- (/ x (/ (- 1 x) 2)) 1))) (+ 1 (/ (* (* x (* x x)) 8) (* (- 1 x) (* (- 1 x) (- 1 x)))))))))
(.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) (+.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x (.f32 x (.f32 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 -1/2 binary32))
1/2
#s(literal 1/2 binary32)
(neg (log (/ (+ 1 (* (/ x (/ (- 1 x) 2)) (- (/ x (/ (- 1 x) 2)) 1))) (+ 1 (/ (* (* x (* x x)) 8) (* (- 1 x) (* (- 1 x) (- 1 x))))))))
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) (+.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x (.f32 x (.f32 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 (/ (+ 1 (* (/ x (/ (- 1 x) 2)) (- (/ x (/ (- 1 x) 2)) 1))) (+ 1 (/ (* (* x (* x x)) 8) (* (- 1 x) (* (- 1 x) (- 1 x)))))))
(log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) (+.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x (.f32 x (.f32 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)))))))
(/ (+ 1 (* (/ x (/ (- 1 x) 2)) (- (/ x (/ (- 1 x) 2)) 1))) (+ 1 (/ (* (* x (* x x)) 8) (* (- 1 x) (* (- 1 x) (- 1 x))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) (+.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x (.f32 x (.f32 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))))))
(+ 1 (* (/ x (/ (- 1 x) 2)) (- (/ x (/ (- 1 x) 2)) 1)))
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) (+.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) #s(literal -1 binary32))))
1
#s(literal 1 binary32)
(* (/ x (/ (- 1 x) 2)) (- (/ x (/ (- 1 x) 2)) 1))
(*.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) (+.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) #s(literal -1 binary32)))
(/ x (/ (- 1 x) 2))
(/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)))
x
(/ (- 1 x) 2)
(/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))
(- 1 x)
(-.f32 #s(literal 1 binary32) x)
2
#s(literal 2 binary32)
(- (/ x (/ (- 1 x) 2)) 1)
(+.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) #s(literal -1 binary32))
(+ 1 (/ (* (* x (* x x)) 8) (* (- 1 x) (* (- 1 x) (- 1 x)))))
(+.f32 #s(literal 1 binary32) (/.f32 (.f32 x (.f32 x (.f32 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)))))
(/ (* (* x (* x x)) 8) (* (- 1 x) (* (- 1 x) (- 1 x))))
(/.f32 (.f32 x (.f32 x (.f32 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))))
(* (* x (* x x)) 8)
(.f32 x (.f32 x (*.f32 x #s(literal 8 binary32))))
(* x (* x x))
(.f32 x (.f32 x x))
(* x x)
(*.f32 x x)
8
#s(literal 8 binary32)
(* (- 1 x) (* (- 1 x) (- 1 x)))
(.f32 (-.f32 #s(literal 1 binary32) x) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x)))
(* (- 1 x) (- 1 x))
(*.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))

localize405.0ms (4%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.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))))
✓	accuracy	99.7%	(*.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))
✓	accuracy	99.7%	(.f32 (-.f32 #s(literal 1 binary32) x) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x)))
✓	accuracy	25.2%	(log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) (-.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) #s(literal 1 binary32)))) (+.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)))))))
✓	accuracy	99.9%	(.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))))))))
✓	accuracy	99.6%	(.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))
✓	accuracy	99.4%	(.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))
✓	accuracy	99.1%	(.f32 (.f32 x x) #s(literal 1/7 binary32))
✓	accuracy	99.9%	(+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))
✓	accuracy	99.7%	(.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32)))))
✓	accuracy	99.5%	(.f32 (.f32 x x) #s(literal 1/5 binary32))
✓	accuracy	99.3%	(.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32))))
✓	accuracy	100.0%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal 1/3 binary32)))
✓	accuracy	100.0%	(*.f32 x x)
✓	accuracy	99.8%	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (*.f32 x x) #s(literal 1/3 binary32))))
✓	accuracy	99.3%	(.f32 (.f32 x x) #s(literal 1/3 binary32))
✓	accuracy	99.9%	(.f32 (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 #s(literal 1 binary32) x)) x)
✓	accuracy	99.9%	(log1p.f32 (.f32 (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 #s(literal 1 binary32) x)) x))
✓	accuracy	99.9%	(/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
✓	accuracy	99.8%	(.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 #s(literal 1 binary32) x))

Results

222.0ms	141×	1	valid
82.0ms	115×	0	valid

Compiler

Compiled 572 to 48 computations (91.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 168.0ms

ival-mult: 52.0ms (30.9% of total)

ival-log: 24.0ms (14.2% of total)

backward-pass: 20.0ms (11.9% of total)

ival-add: 19.0ms (11.3% of total)

...c/correct-round.rkt:119:19: 16.0ms (9.5% of total)

ival-div: 14.0ms (8.3% of total)

compiled-spec: 14.0ms (8.3% of total)

ival-sub: 6.0ms (3.6% of total)

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

const: 1.0ms (0.6% of total)

series15.0ms (0.2%)

Counts

26 → 312

Calls

Call 1

Inputs
#<alt (* 1/2 (log (+ 1 (* (* (/ 2 (- 1 (* x x))) (+ 1 x)) x))))>
#<alt (log (+ 1 (* (* (/ 2 (- 1 (* x x))) (+ 1 x)) x)))>
#<alt (* (* (/ 2 (- 1 (* x x))) (+ 1 x)) x)>
#<alt (* (/ 2 (- 1 (* x x))) (+ 1 x))>
#<alt (* x (+ 1 (* (* x x) 1/3)))>
#<alt (+ 1 (* (* x x) 1/3))>
#<alt (* (* x x) 1/3)>
#<alt (* x x)>
#<alt (+ (* x (* (* x x) (+ 1/3 (* (* x x) 1/5)))) x)>
#<alt (* x (* (* x x) (+ 1/3 (* (* x x) 1/5))))>
#<alt (* (* x x) (+ 1/3 (* (* x x) 1/5)))>
#<alt (* x (+ 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 (* 1/2 (neg (log (/ (+ 1 (* (/ x (/ (- 1 x) 2)) (- (/ x (/ (- 1 x) 2)) 1))) (+ 1 (/ (* (* x (* x x)) 8) (* (- 1 x) (* (- 1 x) (- 1 x)))))))))>
#<alt (neg (log (/ (+ 1 (* (/ x (/ (- 1 x) 2)) (- (/ x (/ (- 1 x) 2)) 1))) (+ 1 (/ (* (* x (* x x)) 8) (* (- 1 x) (* (- 1 x) (- 1 x))))))))>
#<alt (log (/ (+ 1 (* (/ x (/ (- 1 x) 2)) (- (/ x (/ (- 1 x) 2)) 1))) (+ 1 (/ (* (* x (* x x)) 8) (* (- 1 x) (* (- 1 x) (- 1 x)))))))>
#<alt (/ (+ 1 (* (/ x (/ (- 1 x) 2)) (- (/ x (/ (- 1 x) 2)) 1))) (+ 1 (/ (* (* x (* x x)) 8) (* (- 1 x) (* (- 1 x) (- 1 x))))))>
#<alt (/ 2 (- 1 (* x x)))>
#<alt (* (* x x) 1/5)>
#<alt (+ 1/3 (* (* x x) 1/5))>
#<alt (* (* x x) 1/7)>
#<alt (* (* x x) (+ 1/5 (* (* x x) 1/7)))>
#<alt (* (- 1 x) (* (- 1 x) (- 1 x)))>
#<alt (* (- 1 x) (- 1 x))>
#<alt (/ (* (* x (* x x)) 8) (* (- 1 x) (* (- 1 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 (* 1/2 (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>
#<alt (+ 2 (* 2 x))>
#<alt (+ 2 (* x (+ 2 (* 2 x))))>
#<alt (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))>
#<alt (/ -2 x)>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x)>
#<alt (/ -2 x)>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) 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 (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* 1/5 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/5 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))>
#<alt 1>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt x>
#<alt (* x (+ 1 (* 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 2>
#<alt (+ 2 (* 2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (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 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -3 x))>
#<alt (+ 1 (* x (- (* 3 x) 3)))>
#<alt (+ 1 (* x (- (* x (+ 3 (* -1 x))) 3)))>
#<alt (* -1 (pow x 3))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 1))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) (+ 1 (/ 3 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ (* 3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1 (/ 3 (pow x 2)))))>
#<alt (* -1 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 3 (* -1 (/ (- 3 (/ 1 x)) x))) x)))))>
#<alt 1>
#<alt (+ 1 (* -2 x))>
#<alt (+ 1 (* x (- x 2)))>
#<alt (+ 1 (* x (- x 2)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))>
#<alt (* 8 (pow x 3))>
#<alt (* (pow x 3) (+ 8 (* 24 x)))>
#<alt (* (pow x 3) (+ 8 (* x (+ 24 (* 48 x)))))>
#<alt (* (pow x 3) (+ 8 (* x (+ 24 (* x (+ 48 (* 80 x)))))))>
#<alt -8>
#<alt (* -1 (+ 8 (* 24 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 24 (* 48 (/ 1 x))) x)) 8)>
#<alt (- (* -1 (/ (+ 48 (* 80 (/ 1 x))) (pow x 2))) (+ 8 (* 24 (/ 1 x))))>
#<alt -8>
#<alt (* -1 (+ 8 (* 24 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 24 (* 48 (/ 1 x))) x)) 8)>
#<alt (- (* -1 (/ (+ 24 (+ (* 48 (/ 1 x)) (/ 80 (pow x 2)))) x)) 8)>

Calls

78 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(* 1/2 (neg (log (/ (+ 1 (* (/ x (/ (- 1 x) 2)) (- (/ x (/ (- 1 x) 2)) 1))) (+ 1 (/ (* (* x (* x x)) 8) (* (- 1 x) (* (- 1 x) (- 1 x)))))))))
1.0ms	x	@	inf	(* 1/2 (neg (log (/ (+ 1 (* (/ x (/ (- 1 x) 2)) (- (/ x (/ (- 1 x) 2)) 1))) (+ 1 (/ (* (* x (* x x)) 8) (* (- 1 x) (* (- 1 x) (- 1 x)))))))))
1.0ms	x	@	-inf	(* 1/2 (neg (log (/ (+ 1 (* (/ x (/ (- 1 x) 2)) (- (/ x (/ (- 1 x) 2)) 1))) (+ 1 (/ (* (* x (* x x)) 8) (* (- 1 x) (* (- 1 x) (- 1 x)))))))))
0.0ms	x	@	inf	(* (* x x) 1/3)
0.0ms	x	@	inf	(* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))))

rewrite767.0ms (7.6%)

Algorithm

1×	batch-egg-rewrite

Rules

6502×	`-lowering-.f32`
6502×	`-lowering-.f64`
3648×	`/-lowering-/.f32`
3648×	`/-lowering-/.f64`
2410×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	293
1	331	240
2	3366	196
0	11173	196

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 561

Calls

Call 1

Inputs
(* 1/2 (log (+ 1 (* (* (/ 2 (- 1 (* x x))) (+ 1 x)) x))))
(log (+ 1 (* (* (/ 2 (- 1 (* x x))) (+ 1 x)) x)))
(* (* (/ 2 (- 1 (* x x))) (+ 1 x)) x)
(* (/ 2 (- 1 (* x x))) (+ 1 x))
(* x (+ 1 (* (* x x) 1/3)))
(+ 1 (* (* x x) 1/3))
(* (* x x) 1/3)
(* x x)
(+ (* x (* (* x x) (+ 1/3 (* (* x x) 1/5)))) x)
(* x (* (* x x) (+ 1/3 (* (* x x) 1/5))))
(* (* x x) (+ 1/3 (* (* x x) 1/5)))
(* x (+ 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)))))
(* 1/2 (neg (log (/ (+ 1 (* (/ x (/ (- 1 x) 2)) (- (/ x (/ (- 1 x) 2)) 1))) (+ 1 (/ (* (* x (* x x)) 8) (* (- 1 x) (* (- 1 x) (- 1 x)))))))))
(neg (log (/ (+ 1 (* (/ x (/ (- 1 x) 2)) (- (/ x (/ (- 1 x) 2)) 1))) (+ 1 (/ (* (* x (* x x)) 8) (* (- 1 x) (* (- 1 x) (- 1 x))))))))
(log (/ (+ 1 (* (/ x (/ (- 1 x) 2)) (- (/ x (/ (- 1 x) 2)) 1))) (+ 1 (/ (* (* x (* x x)) 8) (* (- 1 x) (* (- 1 x) (- 1 x)))))))
(/ (+ 1 (* (/ x (/ (- 1 x) 2)) (- (/ x (/ (- 1 x) 2)) 1))) (+ 1 (/ (* (* x (* x x)) 8) (* (- 1 x) (* (- 1 x) (- 1 x))))))
(/ 2 (- 1 (* x x)))
(* (* x x) 1/5)
(+ 1/3 (* (* x x) 1/5))
(* (* x x) 1/7)
(* (* x x) (+ 1/5 (* (* x x) 1/7)))
(* (- 1 x) (* (- 1 x) (- 1 x)))
(* (- 1 x) (- 1 x))
(/ (* (* x (* x x)) 8) (* (- 1 x) (* (- 1 x) (- 1 x))))

Outputs
(neg.f32 (*.f32 #s(literal 1/2 binary32) (neg.f32 (log1p.f32 (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32))))))
(-.f32 #s(literal 0 binary32) (*.f32 #s(literal 1/2 binary32) (neg.f32 (log1p.f32 (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32))))
(*.f32 (log1p.f32 (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32))) #s(literal 1/2 binary32))
(.f32 #s(literal -1 binary32) (.f32 #s(literal 1/2 binary32) (neg.f32 (log1p.f32 (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32))))))
(*.f32 #s(literal -1/2 binary32) (neg.f32 (log1p.f32 (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32)))))
(log1p.f32 (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32)))
(neg.f32 (neg.f32 (log1p.f32 (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32)))))
(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32)))) #s(literal 1 binary32))))
(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 #s(literal 4 binary32) (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))))
(+.f32 (log1p.f32 (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32))) #s(literal 0 binary32))
(+.f32 (log1p.f32 (/.f32 (.f32 x (.f32 x x)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) x) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))) #s(literal 8 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal 2 binary32))))))))
(+.f32 #s(literal 0 binary32) (log1p.f32 (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32))))
(+.f32 (log1p.f32 (neg.f32 (.f32 #s(literal 4 binary32) (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (/.f32 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)) #s(literal 1/2 binary32))))))
(+.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 (/.f32 (+.f32 (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) x) (.f32 x #s(literal 2 binary32)))))) (log1p.f32 (/.f32 (.f32 x (.f32 x x)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))) #s(literal 8 binary32)))))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) x) (.f32 x #s(literal 2 binary32))))))) (log1p.f32 (/.f32 (.f32 x (.f32 x x)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))) #s(literal 8 binary32)))))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) x) (.f32 x #s(literal 2 binary32)))))))) (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x (.f32 x x)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))) #s(literal 8 binary32)))))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x (.f32 x x)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) x) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))) #s(literal 8 binary32)))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (+.f32 (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (.f32 (+.f32 (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (+.f32 (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32)) #s(literal -1 binary32)))) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) x) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))) (.f32 (.f32 x (.f32 x x)) #s(literal 8 binary32))))))) (log1p.f32 (.f32 (/.f32 (+.f32 (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) x) (.f32 x #s(literal 2 binary32)))) (-.f32 (/.f32 (+.f32 (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) x) (.f32 x #s(literal 2 binary32)))) #s(literal 1 binary32)))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x (.f32 x x)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) x) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))) #s(literal 8 binary32)))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 4 binary32) (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (.f32 (+.f32 (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (+.f32 (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32)) #s(literal -1 binary32))))))) (log1p.f32 (neg.f32 (/.f32 (+.f32 (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal 2 binary32)))))))
(-.f32 (log1p.f32 (/.f32 (.f32 x (.f32 x x)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) x) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))) #s(literal 8 binary32)))) (log1p.f32 (/.f32 (+.f32 (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal 2 binary32))))))
(-.f32 (log1p.f32 (/.f32 (.f32 x (.f32 x x)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) x) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))) #s(literal 8 binary32)))) (log.f32 (+.f32 (.f32 #s(literal 4 binary32) (.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)) #s(literal 1/2 binary32))))))
(-.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32)))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32)))) #s(literal 1 binary32))))
(-.f32 #s(literal 0 binary32) (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 #s(literal 4 binary32) (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))))
(-.f32 (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x (.f32 x x)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) x) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))) #s(literal 8 binary32)))))) (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal 2 binary32))))))))
(-.f32 (log1p.f32 (/.f32 (.f32 (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x))))) #s(literal 512 binary32)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) x) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x)) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))))))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) x) (.f32 x #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (.f32 x (.f32 x x)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) x) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))) #s(literal 8 binary32))) #s(literal -1 binary32)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) x) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))) (.f32 (.f32 x (.f32 x x)) #s(literal 8 binary32))))))))
(-.f32 (log1p.f32 (neg.f32 (/.f32 (/.f32 (.f32 x (.f32 x x)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) x) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))) #s(literal 8 binary32))) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) x) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))) (.f32 (.f32 x (.f32 x x)) #s(literal 8 binary32)))))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) x) (.f32 x #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 x (.f32 x x)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))) #s(literal 8 binary32)))))))
(-.f32 (log1p.f32 (neg.f32 (.f32 #s(literal 4 binary32) (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))) (log1p.f32 (*.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32)))))))
(-.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) x) (.f32 x #s(literal 2 binary32))))))) (neg.f32 (log1p.f32 (/.f32 (.f32 x (.f32 x x)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))) #s(literal 8 binary32))))))
(-.f32 (log.f32 (+.f32 (.f32 #s(literal 4 binary32) (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) #s(literal -1 binary32))) (log.f32 (+.f32 (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32)) #s(literal -1 binary32))))
(-.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 4 binary32) (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32))))))
(/.f32 (-.f32 #s(literal 0 binary32) (neg.f32 (pow.f32 (log1p.f32 (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32))) #s(literal 3 binary32)))) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (neg.f32 (log1p.f32 (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32))))))))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 (log1p.f32 (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32)))) #s(literal 2 binary32))) (neg.f32 (log1p.f32 (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32)))))
(*.f32 (neg.f32 (log1p.f32 (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32)))) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32))))
(neg.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal -2 binary32))))
(neg.f32 (/.f32 (neg.f32 x) (-.f32 #s(literal 1/2 binary32) (/.f32 x #s(literal 2 binary32)))))
(exp.f32 (.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (.f32 x #s(literal 2 binary32)))) #s(literal -1 binary32)))
(+.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) #s(literal 2 binary32))) (.f32 x (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 2 binary32)))))
(+.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) #s(literal 2 binary32))) (.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 2 binary32))) x))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal 2 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal 2 binary32))) #s(literal 1 binary32)))
(/.f32 x (-.f32 #s(literal 1/2 binary32) (/.f32 x #s(literal 2 binary32))))
(/.f32 (neg.f32 x) (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal -2 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal 2 binary32)))))
(/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32))
(/.f32 (*.f32 (neg.f32 x) #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal -2 binary32)))
(/.f32 (neg.f32 (neg.f32 x)) (-.f32 #s(literal 1/2 binary32) (/.f32 x #s(literal 2 binary32))))
(/.f32 (*.f32 x #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) x))
(/.f32 (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) x))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(/.f32 (.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 2 binary32)))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(/.f32 (.f32 #s(literal -2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) x)) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(*.f32 #s(literal 1 binary32) (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32)))
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))
(.f32 #s(literal 2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 x (+.f32 #s(literal 1 binary32) x))))
(*.f32 x (/.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)))
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(.f32 (/.f32 (.f32 x (.f32 x x)) (-.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 8 binary32) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(.f32 (/.f32 #s(literal 8 binary32) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))) (/.f32 (.f32 x (.f32 x x)) (-.f32 #s(literal 1 binary32) x)))
(.f32 (.f32 #s(literal 4 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32)))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))) (.f32 (.f32 x (*.f32 x x)) #s(literal 8 binary32)))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 x (*.f32 x x)) #s(literal 8 binary32))) #s(literal -1 binary32)))
(.f32 (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal 8 binary32)) (-.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (/.f32 (.f32 (.f32 x x) #s(literal 8 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (pow.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x)) (.f32 (.f32 x x) #s(literal 8 binary32))) #s(literal -1 binary32)))
(.f32 (/.f32 (/.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) x)) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))) (.f32 x (.f32 x x)))
(.f32 (/.f32 (.f32 x (.f32 x x)) (.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x)))) #s(literal 8 binary32))
(.f32 (/.f32 #s(literal 8 binary32) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (-.f32 #s(literal 1 binary32) (.f32 x x))))) (.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 (.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 8 binary32) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))))
(.f32 (.f32 (+.f32 #s(literal 1 binary32) x) (.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x))) (.f32 (.f32 x (.f32 x x)) (/.f32 #s(literal 8 binary32) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))))
(.f32 (.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x x)) #s(literal 8 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(.f32 (neg.f32 (.f32 x (*.f32 x x))) (pow.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal -2 binary32))) #s(literal 3 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)) (pow.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x)) (.f32 (.f32 x (*.f32 x x)) #s(literal 8 binary32))) #s(literal -1 binary32)))
(.f32 (/.f32 x (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))) (/.f32 (.f32 (.f32 x x) #s(literal 8 binary32)) (-.f32 #s(literal 1 binary32) x)))
(.f32 (/.f32 (.f32 x (.f32 x x)) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) x)))
(.f32 (/.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) x)) (/.f32 (.f32 x (.f32 x x)) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(.f32 (.f32 (.f32 x (.f32 x x)) (/.f32 #s(literal 8 binary32) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (-.f32 #s(literal 1 binary32) (.f32 x x)))))) (.f32 (+.f32 #s(literal 1 binary32) x) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))) (/.f32 (.f32 (.f32 x (*.f32 x x)) #s(literal 8 binary32)) (-.f32 #s(literal 1 binary32) x)))
(*.f32 (pow.f32 (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32)) #s(literal 3/2 binary32)) (pow.f32 (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32)) #s(literal 3/2 binary32)))
(.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 x (.f32 x x)) (-.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 8 binary32)) #s(literal -1 binary32)) (pow.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x)) (.f32 x (.f32 x x))) #s(literal -1 binary32)))
(.f32 (pow.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x)) (.f32 x (.f32 x x))) #s(literal -1 binary32)) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 8 binary32)) #s(literal -1 binary32)))
(.f32 (pow.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x)) x) #s(literal -1 binary32)) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (.f32 (.f32 x x) #s(literal 8 binary32))) #s(literal -1 binary32)))
(.f32 (pow.f32 (/.f32 x #s(literal 1 binary32)) #s(literal 3 binary32)) (/.f32 (/.f32 #s(literal 8 binary32) (-.f32 #s(literal 1 binary32) x)) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(*.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) x))) #s(literal 3 binary32)) #s(literal -8 binary32))

simplify380.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

4982×	`-lowering-.f32`
4982×	`-lowering-.f64`
4176×	`+-lowering-+.f64`
4176×	`+-lowering-+.f32`
1648×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	350	2828
1	1151	2382
2	3507	2336
0	8545	2336

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 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
(+ 2 (* 2 x))
(+ 2 (* x (+ 2 (* 2 x))))
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(/ -2 x)
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x)
(/ -2 x)
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) 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)))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
x
(* x (+ 1 (* 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)
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (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 (pow x 2))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
1
(+ 1 (* -3 x))
(+ 1 (* x (- (* 3 x) 3)))
(+ 1 (* x (- (* x (+ 3 (* -1 x))) 3)))
(* -1 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 1))
(* (pow x 3) (- (* 3 (/ 1 x)) (+ 1 (/ 3 (pow x 2)))))
(* (pow x 3) (- (+ (* 3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1 (/ 3 (pow x 2)))))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (- 1 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 3 (* -1 (/ (- 3 (/ 1 x)) x))) x)))))
1
(+ 1 (* -2 x))
(+ 1 (* x (- x 2)))
(+ 1 (* x (- x 2)))
(pow x 2)
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))
(pow x 2)
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))
(* 8 (pow x 3))
(* (pow x 3) (+ 8 (* 24 x)))
(* (pow x 3) (+ 8 (* x (+ 24 (* 48 x)))))
(* (pow x 3) (+ 8 (* x (+ 24 (* x (+ 48 (* 80 x)))))))
-8
(* -1 (+ 8 (* 24 (/ 1 x))))
(- (* -1 (/ (+ 24 (* 48 (/ 1 x))) x)) 8)
(- (* -1 (/ (+ 48 (* 80 (/ 1 x))) (pow x 2))) (+ 8 (* 24 (/ 1 x))))
-8
(* -1 (+ 8 (* 24 (/ 1 x))))
(- (* -1 (/ (+ 24 (* 48 (/ 1 x))) x)) 8)
(- (* -1 (/ (+ 24 (+ (* 48 (/ 1 x)) (/ 80 (pow x 2)))) x)) 8)

Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32)))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(+.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x x)))))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(+.f32 (.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 (/.f32 #s(literal 1/5 binary32) (pow.f32 x #s(literal 5 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)))
(+.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 (/.f32 #s(literal -1/5 binary32) (.f32 x x)) #s(literal -1/3 binary32)) (*.f32 x x))) x))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2/3 (pow x 2))))
(.f32 x (+.f32 #s(literal 2 binary32) (.f32 x (*.f32 x #s(literal 2/3 binary32)))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(.f32 x (+.f32 #s(literal 2 binary32) (.f32 (.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)))))))))
(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 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) x) (+.f32 (/.f32 #s(literal 2/3 binary32) (.f32 x (.f32 x x))) (/.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 5 binary32))))))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (.f32 x (.f32 x x)))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -2/3 binary32) (/.f32 #s(literal -2/5 binary32) (.f32 x x))) (.f32 x x)) #s(literal -2 binary32)) x))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2 x)))
(.f32 x (+.f32 #s(literal 2 binary32) (.f32 x #s(literal 2 binary32))))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(.f32 x (+.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (*.f32 x #s(literal 2 binary32))))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(.f32 x (.f32 (+.f32 #s(literal 1 binary32) (.f32 x x)) (+.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 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)))) x))
2
#s(literal 2 binary32)
(+ 2 (* 2 x))
(+.f32 #s(literal 2 binary32) (*.f32 x #s(literal 2 binary32)))
(+ 2 (* x (+ 2 (* 2 x))))
(+.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (.f32 x #s(literal 2 binary32)))))
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 x x)) (+.f32 #s(literal 2 binary32) (*.f32 x #s(literal 2 binary32))))
(/ -2 x)
(/.f32 #s(literal -2 binary32) x)
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x))
(/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x)) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)
(/.f32 (+.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x)) x)) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x)
(/.f32 (.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))) x)
(/ -2 x)
(/.f32 #s(literal -2 binary32) x)
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x))
(/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x)) x)
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x))
(/.f32 (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)))) (neg.f32 x))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x))
(/.f32 (-.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)) (neg.f32 x))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(* 1/3 (pow x 3))
(.f32 x (.f32 #s(literal 1/3 binary32) (*.f32 x x)))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(* 1/3 (pow x 3))
(.f32 x (.f32 #s(literal 1/3 binary32) (*.f32 x x)))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
1
#s(literal 1 binary32)
(+ 1 (* 1/3 (pow x 2)))
(+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (.f32 x x)))
(+ 1 (* 1/3 (pow x 2)))
(+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (.f32 x x)))
(+ 1 (* 1/3 (pow x 2)))
(+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (.f32 x x)))
(* 1/3 (pow x 2))
(.f32 #s(literal 1/3 binary32) (.f32 x x))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (.f32 x x)))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (.f32 x x)))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (.f32 x x)))
(* 1/3 (pow x 2))
(.f32 #s(literal 1/3 binary32) (.f32 x x))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (.f32 x x)))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (.f32 x x)))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (.f32 x x)))
(* 1/3 (pow x 2))
(.f32 #s(literal 1/3 binary32) (.f32 x x))
(* 1/3 (pow x 2))
(.f32 #s(literal 1/3 binary32) (.f32 x x))
(* 1/3 (pow x 2))
(.f32 #s(literal 1/3 binary32) (.f32 x x))
(* 1/3 (pow x 2))
(.f32 #s(literal 1/3 binary32) (.f32 x x))
(* 1/3 (pow x 2))
(.f32 #s(literal 1/3 binary32) (.f32 x x))
(* 1/3 (pow x 2))
(.f32 #s(literal 1/3 binary32) (.f32 x x))
(* 1/3 (pow x 2))
(.f32 #s(literal 1/3 binary32) (.f32 x x))
(* 1/3 (pow x 2))
(.f32 #s(literal 1/3 binary32) (.f32 x x))
(* 1/3 (pow x 2))
(.f32 #s(literal 1/3 binary32) (.f32 x x))
(* 1/3 (pow x 2))
(.f32 #s(literal 1/3 binary32) (.f32 x x))
(* 1/3 (pow x 2))
(.f32 #s(literal 1/3 binary32) (.f32 x x))
(* 1/3 (pow x 2))
(.f32 #s(literal 1/3 binary32) (.f32 x x))
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32)))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32)))))))
(* 1/5 (pow x 5))
(*.f32 #s(literal 1/5 binary32) (pow.f32 x #s(literal 5 binary32)))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 5 binary32)) (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f32 (pow.f32 x #s(literal 5 binary32)) (+.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x (*.f32 x x)) x))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f32 (pow.f32 x #s(literal 5 binary32)) (+.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x (*.f32 x x)) x))))
(* 1/5 (pow x 5))
(*.f32 #s(literal 1/5 binary32) (pow.f32 x #s(literal 5 binary32)))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 5 binary32)) (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(.f32 (+.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 #s(literal 1/3 binary32) (*.f32 x x)))
(* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))
(.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))
(.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))
(.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(* 1/5 (pow x 5))
(*.f32 #s(literal 1/5 binary32) (pow.f32 x #s(literal 5 binary32)))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 5 binary32)) (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 5 binary32)) (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 5 binary32)) (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.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 (pow.f32 x #s(literal 5 binary32)) (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 5 binary32)) (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 5 binary32)) (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))))
(* 1/3 (pow x 2))
(.f32 #s(literal 1/3 binary32) (.f32 x x))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))))
(* 1/5 (pow x 4))
(.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/5 binary32))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (.f32 (.f32 x (*.f32 x x)) x))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (.f32 (.f32 x (*.f32 x x)) x))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (.f32 (.f32 x (*.f32 x x)) x))
(* 1/5 (pow x 4))
(.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/5 binary32))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (.f32 (.f32 x (*.f32 x x)) x))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (.f32 (.f32 x (*.f32 x x)) x))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (.f32 (.f32 x (*.f32 x x)) x))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32)))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
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(+.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 (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 #s(literal 1/7 binary32) (.f32 (.f32 x (.f32 x x)) x))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 (.f32 x (.f32 x x)) x) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 (.f32 x (.f32 x x)) x) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 (.f32 x (.f32 x x)) x) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))))
(* 1/7 (pow x 4))
(.f32 #s(literal 1/7 binary32) (.f32 (.f32 x (.f32 x x)) x))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 (.f32 x (.f32 x x)) x) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 (.f32 x (.f32 x x)) x) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 (.f32 x (.f32 x x)) x) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))))
1
#s(literal 1 binary32)
(+ 1 (* -3 x))
(+.f32 #s(literal 1 binary32) (*.f32 x #s(literal -3 binary32)))
(+ 1 (* x (- (* 3 x) 3)))
(+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal -3 binary32) (.f32 x #s(literal 3 binary32)))))
(+ 1 (* x (- (* x (+ 3 (* -1 x))) 3)))
(+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal -3 binary32) (.f32 x (-.f32 #s(literal 3 binary32) x)))))
(* -1 (pow x 3))
(-.f32 #s(literal 0 binary32) (.f32 x (.f32 x x)))
(* (pow x 3) (- (* 3 (/ 1 x)) 1))
(.f32 (.f32 x x) (*.f32 x (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 3 binary32) x))))
(* (pow x 3) (- (* 3 (/ 1 x)) (+ 1 (/ 3 (pow x 2)))))
(.f32 (.f32 x (*.f32 x x)) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal -3 binary32) x)) x)))
(* (pow x 3) (- (+ (* 3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1 (/ 3 (pow x 2)))))
(.f32 x (.f32 (.f32 x x) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x))) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal -3 binary32) x)) x)))))
(* -1 (pow x 3))
(-.f32 #s(literal 0 binary32) (.f32 x (.f32 x x)))
(* -1 (* (pow x 3) (- 1 (* 3 (/ 1 x)))))
(.f32 (.f32 x x) (*.f32 x (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 3 binary32) x))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 x))) x)))))
(neg.f32 (.f32 (.f32 x (*.f32 x x)) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -3 binary32) (/.f32 #s(literal 3 binary32) x)) x))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (+ 3 (* -1 (/ (- 3 (/ 1 x)) x))) x)))))
(neg.f32 (.f32 (.f32 x (*.f32 x x)) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 3 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -3 binary32)) x)) x))))
1
#s(literal 1 binary32)
(+ 1 (* -2 x))
(+.f32 #s(literal 1 binary32) (*.f32 x #s(literal -2 binary32)))
(+ 1 (* x (- x 2)))
(+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 x #s(literal -2 binary32))))
(+ 1 (* x (- x 2)))
(+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 x #s(literal -2 binary32))))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(.f32 x (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) x))))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) x)))))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (* 2 (/ 1 x))))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) x)))))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (- 1 (* 2 (/ 1 x))))
(.f32 x (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) x)))))
(* (pow x 2) (+ 1 (* -1 (/ (- 2 (/ 1 x)) x))))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) x)))))
(* 8 (pow x 3))
(.f32 x (.f32 (*.f32 x x) #s(literal 8 binary32)))
(* (pow x 3) (+ 8 (* 24 x)))
(.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 8 binary32) (.f32 x #s(literal 24 binary32)))))
(* (pow x 3) (+ 8 (* x (+ 24 (* 48 x)))))
(.f32 (.f32 x (.f32 x x)) (+.f32 #s(literal 8 binary32) (.f32 x (+.f32 #s(literal 24 binary32) (*.f32 x #s(literal 48 binary32))))))
(* (pow x 3) (+ 8 (* x (+ 24 (* x (+ 48 (* 80 x)))))))
(.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 8 binary32) (.f32 x (+.f32 #s(literal 24 binary32) (.f32 x (+.f32 #s(literal 48 binary32) (.f32 x #s(literal 80 binary32)))))))))
-8
#s(literal -8 binary32)
(* -1 (+ 8 (* 24 (/ 1 x))))
(+.f32 #s(literal -8 binary32) (/.f32 #s(literal -24 binary32) x))
(- (* -1 (/ (+ 24 (* 48 (/ 1 x))) x)) 8)
(+.f32 (/.f32 (+.f32 #s(literal -24 binary32) (/.f32 #s(literal -48 binary32) x)) x) #s(literal -8 binary32))
(- (* -1 (/ (+ 48 (* 80 (/ 1 x))) (pow x 2))) (+ 8 (* 24 (/ 1 x))))
(+.f32 (/.f32 (+.f32 #s(literal -48 binary32) (/.f32 #s(literal -80 binary32) x)) (*.f32 x x)) (+.f32 #s(literal -8 binary32) (/.f32 #s(literal -24 binary32) x)))
-8
#s(literal -8 binary32)
(* -1 (+ 8 (* 24 (/ 1 x))))
(+.f32 #s(literal -8 binary32) (/.f32 #s(literal -24 binary32) x))
(- (* -1 (/ (+ 24 (* 48 (/ 1 x))) x)) 8)
(+.f32 (/.f32 (+.f32 #s(literal -24 binary32) (/.f32 #s(literal -48 binary32) x)) x) #s(literal -8 binary32))
(- (* -1 (/ (+ 24 (+ (* 48 (/ 1 x)) (/ 80 (pow x 2)))) x)) 8)
(+.f32 (/.f32 (+.f32 (+.f32 #s(literal -24 binary32) (/.f32 #s(literal -48 binary32) x)) (/.f32 #s(literal -80 binary32) (*.f32 x x))) x) #s(literal -8 binary32))

eval150.0ms (1.5%)

Compiler: Compiled 29652 to 3604 computations (87.8% saved)

prune175.0ms (1.7%)

Pruning

20 alts after pruning (11 fresh and 9 done)

	Pruned	Kept	Total
New	1016	11	1027
Fresh	2	0	2
Picked	0	5	5
Done	0	4	4
Total	1018	20	1038

Accuracy

100.0%

Counts

1038 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.6%	(/.f32 (-.f32 (.f32 x x) (.f32 (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))))) (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))))))) (-.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 x (*.f32 x #s(literal 1/7 binary32)))))))))))
▶	98.3%	(/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))))))) x) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))))) (-.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))))) #s(literal 1 binary32)))))
	98.3%	(+.f32 (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32))))))))) x)
✓	97.8%	(+.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))) x)
▶	97.2%	(+.f32 (.f32 x (.f32 (*.f32 x x) #s(literal 1/3 binary32))) x)
	98.3%	(.f32 x (/.f32 (-.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))))) #s(literal 1 binary32)) (-.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))))) #s(literal 1 binary32))))
▶	98.3%	(.f32 x (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))))))))
	98.3%	(.f32 x (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))))) (-.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))))) #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))))))))))
▶	98.3%	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 (+.f32 #s(literal 1/125 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)))) (.f32 x x)) (+.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) (-.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32)))))))))
✓	98.3%	(.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))))))))
✓	97.7%	(.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))))))
✓	97.1%	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (*.f32 x x) #s(literal 1/3 binary32))))
▶	98.9%	(.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (neg.f32 (.f32 #s(literal 4 binary32) (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))) (log1p.f32 (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))))
	25.1%	(.f32 #s(literal 1/2 binary32) (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 #s(literal 4 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))))))
	25.3%	(.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) (-.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal 8 binary32)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x))) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))) (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))))))))))
✓	25.2%	(.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) (-.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) #s(literal 1 binary32)))) (+.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)))))))))
✓	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
✓	99.7%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x)))
✓	99.6%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 #s(literal 1 binary32) x)) x)))
✓	95.7%	x

Compiler

Compiled 1311 to 524 computations (60% saved)

simplify325.0ms (3.2%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))))))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))))))))
✓	cost-diff	0	(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32)))))))))))) x)
✓	cost-diff	0	(/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))))))) x) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))))) (-.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))))) #s(literal 1 binary32)))))
✓	cost-diff	0	(-.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))))))
✓	cost-diff	0	(/.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32)))))))))))
✓	cost-diff	64	(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32))))))))))))
✓	cost-diff	64	(.f32 x (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))))))))
✓	cost-diff	64	(+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 (+.f32 #s(literal 1/125 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)))) (.f32 x x)) (+.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) (-.f32 (.f32 x (*.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))))
✓	cost-diff	64	(.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 (+.f32 #s(literal 1/125 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)))) (.f32 x x)) (+.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) (-.f32 (.f32 x (*.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32)))))))
✓	cost-diff	64	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 (+.f32 #s(literal 1/125 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)))) (.f32 x x)) (+.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) (-.f32 (.f32 x (*.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))))))
✓	cost-diff	64	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 (+.f32 #s(literal 1/125 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)))) (.f32 x x)) (+.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) (-.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32)))))))))
✓	cost-diff	0	(*.f32 x x)
✓	cost-diff	0	(.f32 (.f32 x x) #s(literal 1/3 binary32))
✓	cost-diff	0	(.f32 x (.f32 (*.f32 x x) #s(literal 1/3 binary32)))
✓	cost-diff	0	(+.f32 (.f32 x (.f32 (*.f32 x x) #s(literal 1/3 binary32))) x)
✓	cost-diff	32	(neg.f32 (.f32 #s(literal 4 binary32) (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))
✓	cost-diff	32	(log1p.f32 (neg.f32 (.f32 #s(literal 4 binary32) (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (/.f32 x (-.f32 #s(literal 1 binary32) x))))))
✓	cost-diff	64	(-.f32 (log1p.f32 (neg.f32 (.f32 #s(literal 4 binary32) (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))) (log1p.f32 (*.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))))
✓	cost-diff	64	(.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (neg.f32 (.f32 #s(literal 4 binary32) (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))) (log1p.f32 (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))))

Rules

4298×	`-lowering-.f32`
4298×	`-lowering-.f64`
3894×	`+-lowering-+.f64`
3894×	`+-lowering-+.f32`
1040×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	972
1	228	808
2	863	793
3	4445	785
0	8233	785

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* 1/2 (- (log (+ 1 (neg (* 4 (* (/ x (- 1 x)) (/ x (- 1 x))))))) (log (+ 1 (* (neg x) (/ 2 (- 1 x)))))))
1/2
(- (log (+ 1 (neg (* 4 (* (/ x (- 1 x)) (/ x (- 1 x))))))) (log (+ 1 (* (neg x) (/ 2 (- 1 x))))))
(log (+ 1 (neg (* 4 (* (/ x (- 1 x)) (/ x (- 1 x)))))))
(neg (* 4 (* (/ x (- 1 x)) (/ x (- 1 x)))))
(* 4 (* (/ x (- 1 x)) (/ x (- 1 x))))
4
(* (/ x (- 1 x)) (/ x (- 1 x)))
(/ x (- 1 x))
x
(- 1 x)
1
(log (+ 1 (* (neg x) (/ 2 (- 1 x)))))
(* (neg x) (/ 2 (- 1 x)))
(neg x)
(/ 2 (- 1 x))
2
(+ (* x (* (* x x) 1/3)) x)
(* x (* (* x x) 1/3))
x
(* (* x x) 1/3)
(* x x)
1/3
(* x (+ 1 (* (* x x) (+ 1/3 (/ (* (+ 1/125 (* (* x (* x x)) (* (* x (* x x)) 1/343))) (* x x)) (+ 1/25 (* (* x (* x 1/7)) (- (* x (* x 1/7)) 1/5))))))))
x
(+ 1 (* (* x x) (+ 1/3 (/ (* (+ 1/125 (* (* x (* x x)) (* (* x (* x x)) 1/343))) (* x x)) (+ 1/25 (* (* x (* x 1/7)) (- (* x (* x 1/7)) 1/5)))))))
1
(* (* x x) (+ 1/3 (/ (* (+ 1/125 (* (* x (* x x)) (* (* x (* x x)) 1/343))) (* x x)) (+ 1/25 (* (* x (* x 1/7)) (- (* x (* x 1/7)) 1/5))))))
(* x x)
(+ 1/3 (/ (* (+ 1/125 (* (* x (* x x)) (* (* x (* x x)) 1/343))) (* x x)) (+ 1/25 (* (* x (* x 1/7)) (- (* x (* x 1/7)) 1/5)))))
1/3
(/ (* (+ 1/125 (* (* x (* x x)) (* (* x (* x x)) 1/343))) (* x x)) (+ 1/25 (* (* x (* x 1/7)) (- (* x (* x 1/7)) 1/5))))
(* (+ 1/125 (* (* x (* x x)) (* (* x (* x x)) 1/343))) (* x x))
(+ 1/125 (* (* x (* x x)) (* (* x (* x x)) 1/343)))
1/125
(* (* x (* x x)) (* (* x (* x x)) 1/343))
(* x (* x x))
(* (* x (* x x)) 1/343)
1/343
(+ 1/25 (* (* x (* x 1/7)) (- (* x (* x 1/7)) 1/5)))
1/25
(* (* x (* x 1/7)) (- (* x (* x 1/7)) 1/5))
(* x (* x 1/7))
(* x 1/7)
1/7
(- (* x (* x 1/7)) 1/5)
1/5
(* x (/ 1 (/ (- 1 (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))))) (- 1 (* (* x (* x (* x x))) (* (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))) (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))))))))
x
(/ 1 (/ (- 1 (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))))) (- 1 (* (* x (* x (* x x))) (* (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))) (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))))))
1
(/ (- 1 (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))))) (- 1 (* (* x (* x (* x x))) (* (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))) (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))))))
(- 1 (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))))
(* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))))
(* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))
(+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))
1/3
(* x (* x (+ 1/5 (* x (* x 1/7)))))
(* x (+ 1/5 (* x (* x 1/7))))
(+ 1/5 (* x (* x 1/7)))
1/5
(* x (* x 1/7))
(* x 1/7)
1/7
(- 1 (* (* x (* x (* x x))) (* (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))) (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))))
(* (* x (* x (* x x))) (* (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))) (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))))
(* x (* x (* x x)))
(* x (* x x))
(* x x)
(* (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))) (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))
(/ (* (+ 1 (* (* x (* x x)) (* (* x (* x x)) (* (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))) (* (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))) (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))))))) x) (+ 1 (* (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))) (- (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))) 1))))
(* (+ 1 (* (* x (* x x)) (* (* x (* x x)) (* (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))) (* (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))) (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))))))) x)
(+ 1 (* (* x (* x x)) (* (* x (* 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
(* (* x (* x x)) (* (* x (* x x)) (* (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))) (* (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))) (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))))))
(* x (* x x))
x
(* x x)
(* (* x (* 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)))))))))
(* (+ 1/3 (* 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))))))))
(+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))
1/3
(* x (* x (+ 1/5 (* x (* x 1/7)))))
(* x (+ 1/5 (* x (* x 1/7))))
(+ 1/5 (* x (* x 1/7)))
1/5
(* x (* x 1/7))
(* x 1/7)
1/7
(* (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))) (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))
(+ 1 (* (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))) (- (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))) 1)))
(* (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))) (- (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))) 1))
(* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))))
(* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))
(- (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))) 1)

Outputs
(* 1/2 (- (log (+ 1 (neg (* 4 (* (/ x (- 1 x)) (/ x (- 1 x))))))) (log (+ 1 (* (neg x) (/ 2 (- 1 x)))))))
(.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (/.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (-.f32 #s(literal 1 binary32) x)) (+.f32 x #s(literal -1 binary32)))) (log1p.f32 (/.f32 (.f32 x #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) x)))))
1/2
#s(literal 1/2 binary32)
(- (log (+ 1 (neg (* 4 (* (/ x (- 1 x)) (/ x (- 1 x))))))) (log (+ 1 (* (neg x) (/ 2 (- 1 x))))))
(-.f32 (log1p.f32 (/.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (-.f32 #s(literal 1 binary32) x)) (+.f32 x #s(literal -1 binary32)))) (log1p.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) x))))
(log (+ 1 (neg (* 4 (* (/ x (- 1 x)) (/ x (- 1 x)))))))
(log1p.f32 (/.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (-.f32 #s(literal 1 binary32) x)) (+.f32 x #s(literal -1 binary32))))
(neg (* 4 (* (/ x (- 1 x)) (/ x (- 1 x)))))
(/.f32 (/.f32 (.f32 #s(literal 4 binary32) (.f32 x x)) (-.f32 #s(literal 1 binary32) x)) (+.f32 x #s(literal -1 binary32)))
(* 4 (* (/ x (- 1 x)) (/ x (- 1 x))))
(.f32 (/.f32 (.f32 x x) (-.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 4 binary32) (-.f32 #s(literal 1 binary32) x)))
4
#s(literal 4 binary32)
(* (/ x (- 1 x)) (/ x (- 1 x)))
(/.f32 (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) x)) (-.f32 #s(literal 1 binary32) x))
(/ x (- 1 x))
(/.f32 x (-.f32 #s(literal 1 binary32) x))
x
(- 1 x)
(-.f32 #s(literal 1 binary32) x)
1
#s(literal 1 binary32)
(log (+ 1 (* (neg x) (/ 2 (- 1 x)))))
(log1p.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) x)))
(* (neg x) (/ 2 (- 1 x)))
(/.f32 (*.f32 x #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) x))
(neg x)
(neg.f32 x)
(/ 2 (- 1 x))
(/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))
2
#s(literal 2 binary32)
(+ (* x (* (* x x) 1/3)) x)
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))
(* x (* (* x x) 1/3))
(.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32))))
x
(* (* x x) 1/3)
(.f32 x (.f32 x #s(literal 1/3 binary32)))
(* x x)
(*.f32 x x)
1/3
#s(literal 1/3 binary32)
(* x (+ 1 (* (* x x) (+ 1/3 (/ (* (+ 1/125 (* (* x (* x x)) (* (* x (* x x)) 1/343))) (* x x)) (+ 1/25 (* (* x (* x 1/7)) (- (* x (* x 1/7)) 1/5))))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/125 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 (.f32 x x) #s(literal 1/343 binary32)))))) (+.f32 #s(literal 1/25 binary32) (.f32 (.f32 x x) (+.f32 (.f32 (*.f32 x x) #s(literal 1/49 binary32)) #s(literal -1/35 binary32)))))))))
x
(+ 1 (* (* x x) (+ 1/3 (/ (* (+ 1/125 (* (* x (* x x)) (* (* x (* x x)) 1/343))) (* x x)) (+ 1/25 (* (* x (* x 1/7)) (- (* x (* x 1/7)) 1/5)))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/125 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 (.f32 x x) #s(literal 1/343 binary32)))))) (+.f32 #s(literal 1/25 binary32) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 x x) #s(literal 1/49 binary32)) #s(literal -1/35 binary32))))))))
1
#s(literal 1 binary32)
(* (* x x) (+ 1/3 (/ (* (+ 1/125 (* (* x (* x x)) (* (* x (* x x)) 1/343))) (* x x)) (+ 1/25 (* (* x (* x 1/7)) (- (* x (* x 1/7)) 1/5))))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/125 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 (.f32 x x) #s(literal 1/343 binary32)))))) (+.f32 #s(literal 1/25 binary32) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 x x) #s(literal 1/49 binary32)) #s(literal -1/35 binary32)))))))
(* x x)
(*.f32 x x)
(+ 1/3 (/ (* (+ 1/125 (* (* x (* x x)) (* (* x (* x x)) 1/343))) (* x x)) (+ 1/25 (* (* x (* x 1/7)) (- (* x (* x 1/7)) 1/5)))))
(+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/125 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 (.f32 x x) #s(literal 1/343 binary32)))))) (+.f32 #s(literal 1/25 binary32) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 x x) #s(literal 1/49 binary32)) #s(literal -1/35 binary32))))))
1/3
#s(literal 1/3 binary32)
(/ (* (+ 1/125 (* (* x (* x x)) (* (* x (* x x)) 1/343))) (* x x)) (+ 1/25 (* (* x (* x 1/7)) (- (* x (* x 1/7)) 1/5))))
(/.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/125 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 (.f32 x x) #s(literal 1/343 binary32)))))) (+.f32 #s(literal 1/25 binary32) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 x x) #s(literal 1/49 binary32)) #s(literal -1/35 binary32)))))
(* (+ 1/125 (* (* x (* x x)) (* (* x (* x x)) 1/343))) (* x x))
(.f32 (.f32 x x) (+.f32 #s(literal 1/125 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 (.f32 x x) #s(literal 1/343 binary32))))))
(+ 1/125 (* (* x (* x x)) (* (* x (* x x)) 1/343)))
(+.f32 #s(literal 1/125 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 (.f32 x x) #s(literal 1/343 binary32)))))
1/125
#s(literal 1/125 binary32)
(* (* x (* x x)) (* (* x (* x x)) 1/343))
(.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 (.f32 x x) #s(literal 1/343 binary32))))
(* x (* x x))
(.f32 x (.f32 x x))
(* (* x (* x x)) 1/343)
(.f32 x (.f32 (*.f32 x x) #s(literal 1/343 binary32)))
1/343
#s(literal 1/343 binary32)
(+ 1/25 (* (* x (* x 1/7)) (- (* x (* x 1/7)) 1/5)))
(+.f32 #s(literal 1/25 binary32) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 x x) #s(literal 1/49 binary32)) #s(literal -1/35 binary32))))
1/25
#s(literal 1/25 binary32)
(* (* x (* x 1/7)) (- (* x (* x 1/7)) 1/5))
(.f32 (.f32 x x) (+.f32 (.f32 (.f32 x x) #s(literal 1/49 binary32)) #s(literal -1/35 binary32)))
(* x (* x 1/7))
(.f32 x (.f32 x #s(literal 1/7 binary32)))
(* x 1/7)
(*.f32 x #s(literal 1/7 binary32))
1/7
#s(literal 1/7 binary32)
(- (* x (* x 1/7)) 1/5)
(+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal -1/5 binary32))
1/5
#s(literal 1/5 binary32)
(* x (/ 1 (/ (- 1 (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))))) (- 1 (* (* x (* x (* x x))) (* (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))) (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))))))))
(/.f32 x (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (-.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))) (.f32 (.f32 x x) (-.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (*.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32)))))))))))
x
(/ 1 (/ (- 1 (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))))) (- 1 (* (* x (* x (* x x))) (* (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))) (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))) (.f32 (.f32 x x) (-.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (-.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (*.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))))))
1
#s(literal 1 binary32)
(/ (- 1 (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))))) (- 1 (* (* x (* x (* x x))) (* (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))) (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (-.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))) (.f32 (.f32 x x) (-.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (*.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))))))))
(- 1 (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (-.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32)))))))
(* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))))
(.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32)))))))
(* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))
(.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (*.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))))
(+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))
(+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32)))))
1/3
#s(literal 1/3 binary32)
(* x (* x (+ 1/5 (* x (* x 1/7)))))
(.f32 x (.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))
(* x (+ 1/5 (* x (* x 1/7))))
(.f32 x (+.f32 (.f32 x (*.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32)))
(+ 1/5 (* x (* x 1/7)))
(+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))
1/5
#s(literal 1/5 binary32)
(* x (* x 1/7))
(.f32 x (.f32 x #s(literal 1/7 binary32)))
(* x 1/7)
(*.f32 x #s(literal 1/7 binary32))
1/7
#s(literal 1/7 binary32)
(- 1 (* (* x (* x (* x x))) (* (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))) (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))) (.f32 (.f32 x x) (-.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (*.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32)))))))))
(* (* x (* x (* x x))) (* (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))) (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))))
(.f32 (.f32 x x) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (*.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32)))))))))
(* x (* x (* x x)))
(.f32 x (.f32 x (*.f32 x x)))
(* x (* x x))
(.f32 x (.f32 x x))
(* x x)
(*.f32 x x)
(* (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))) (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))
(.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (*.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))))
(/ (* (+ 1 (* (* x (* x x)) (* (* x (* x x)) (* (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))) (* (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))) (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))))))) x) (+ 1 (* (* 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))))
(.f32 x (/.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))))))))) (+.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))) (.f32 (.f32 x x) (+.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))))) #s(literal -1 binary32)))))))
(* (+ 1 (* (* x (* x x)) (* (* x (* x x)) (* (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))) (* (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))) (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))))))) x)
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (.f32 (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (*.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))))))))))
(+ 1 (* (* x (* x x)) (* (* x (* 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)))))))))))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32)))))))))))
1
#s(literal 1 binary32)
(* (* x (* x x)) (* (* x (* 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))))))))))
(.f32 x (.f32 (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))))))))
(* x (* x x))
(.f32 x (.f32 x x))
x
(* x x)
(*.f32 x x)
(* (* x (* 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)))))))))
(.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))) (.f32 x (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (*.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))))))))
(* (+ 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))))))))
(.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32)))))))
(+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))
(+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32)))))
1/3
#s(literal 1/3 binary32)
(* x (* x (+ 1/5 (* x (* x 1/7)))))
(.f32 x (.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))
(* x (+ 1/5 (* x (* x 1/7))))
(.f32 x (+.f32 (.f32 x (*.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32)))
(+ 1/5 (* x (* x 1/7)))
(+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))
1/5
#s(literal 1/5 binary32)
(* x (* x 1/7))
(.f32 x (.f32 x #s(literal 1/7 binary32)))
(* x 1/7)
(*.f32 x #s(literal 1/7 binary32))
1/7
#s(literal 1/7 binary32)
(* (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))) (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))
(.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (*.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))))
(+ 1 (* (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))) (- (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))) 1)))
(+.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))) (.f32 (.f32 x x) (+.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (*.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))))) #s(literal -1 binary32)))))
(* (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))) (- (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))) 1))
(.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))) (.f32 (.f32 x x) (+.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (*.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))))) #s(literal -1 binary32))))
(* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))))
(.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32)))))))
(* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))
(.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (*.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))))
(- (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))) 1)
(+.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))))) #s(literal -1 binary32))

localize939.0ms (9.3%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32)))))
✓	accuracy	99.1%	(.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32))))))))
✓	accuracy	98.6%	(*.f32 x #s(literal 1/7 binary32))
✓	accuracy	97.6%	(.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32))))))))
✓	accuracy	99.5%	(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32)))))
✓	accuracy	99.1%	(.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32))))))))
✓	accuracy	98.6%	(*.f32 x #s(literal 1/7 binary32))
✓	accuracy	97.6%	(.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32))))))))
✓	accuracy	99.5%	(/.f32 (.f32 (+.f32 #s(literal 1/125 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)))) (.f32 x x)) (+.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) (-.f32 (.f32 x (*.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32)))))
✓	accuracy	99.5%	(.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 (+.f32 #s(literal 1/125 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)))) (.f32 x x)) (+.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) (-.f32 (.f32 x (*.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32)))))))
✓	accuracy	99.3%	(.f32 (+.f32 #s(literal 1/125 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)))) (.f32 x x))
✓	accuracy	98.6%	(*.f32 x #s(literal 1/7 binary32))
✓	accuracy	100.0%	(+.f32 (.f32 x (.f32 (*.f32 x x) #s(literal 1/3 binary32))) x)
✓	accuracy	100.0%	(*.f32 x x)
✓	accuracy	99.7%	(.f32 x (.f32 (*.f32 x x) #s(literal 1/3 binary32)))
✓	accuracy	99.4%	(.f32 (.f32 x x) #s(literal 1/3 binary32))
✓	accuracy	99.9%	(/.f32 x (-.f32 #s(literal 1 binary32) x))
✓	accuracy	99.8%	(/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))
✓	accuracy	99.8%	(log1p.f32 (*.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))
✓	accuracy	99.8%	(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (/.f32 x (-.f32 #s(literal 1 binary32) x)))

Results

447.0ms	157×	1	valid
203.0ms	39×	5	exit
75.0ms	58×	0	valid
2.0ms	2×	0	invalid

Compiler

Compiled 1444 to 66 computations (95.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 367.0ms

ival-mult: 113.0ms (30.8% of total)

backward-pass: 76.0ms (20.7% of total)

...c/correct-round.rkt:119:19: 51.0ms (13.9% of total)

compiled-spec: 35.0ms (9.5% of total)

ival-add: 26.0ms (7.1% of total)

ival-sub: 22.0ms (6% of total)

ival-log: 19.0ms (5.2% of total)

ival-div: 18.0ms (4.9% of total)

ival-neg: 5.0ms (1.4% of total)

const: 2.0ms (0.5% of total)

series31.0ms (0.3%)

Counts

30 → 360

Calls

Call 1

Inputs
#<alt (* 1/2 (- (log (+ 1 (neg (* 4 (* (/ x (- 1 x)) (/ x (- 1 x))))))) (log (+ 1 (* (neg x) (/ 2 (- 1 x)))))))>
#<alt (- (log (+ 1 (neg (* 4 (* (/ x (- 1 x)) (/ x (- 1 x))))))) (log (+ 1 (* (neg x) (/ 2 (- 1 x))))))>
#<alt (log (+ 1 (neg (* 4 (* (/ x (- 1 x)) (/ x (- 1 x)))))))>
#<alt (neg (* 4 (* (/ x (- 1 x)) (/ x (- 1 x)))))>
#<alt (+ (* x (* (* x x) 1/3)) x)>
#<alt (* x (* (* x x) 1/3))>
#<alt (* (* x x) 1/3)>
#<alt (* x x)>
#<alt (* x (+ 1 (* (* x x) (+ 1/3 (/ (* (+ 1/125 (* (* x (* x x)) (* (* x (* x x)) 1/343))) (* x x)) (+ 1/25 (* (* x (* x 1/7)) (- (* x (* x 1/7)) 1/5))))))))>
#<alt (+ 1 (* (* x x) (+ 1/3 (/ (* (+ 1/125 (* (* x (* x x)) (* (* x (* x x)) 1/343))) (* x x)) (+ 1/25 (* (* x (* x 1/7)) (- (* x (* x 1/7)) 1/5)))))))>
#<alt (* (* x x) (+ 1/3 (/ (* (+ 1/125 (* (* x (* x x)) (* (* x (* x x)) 1/343))) (* x x)) (+ 1/25 (* (* x (* x 1/7)) (- (* x (* x 1/7)) 1/5))))))>
#<alt (+ 1/3 (/ (* (+ 1/125 (* (* x (* x x)) (* (* x (* x x)) 1/343))) (* x x)) (+ 1/25 (* (* x (* x 1/7)) (- (* x (* x 1/7)) 1/5)))))>
#<alt (* x (/ 1 (/ (- 1 (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))))) (- 1 (* (* x (* x (* x x))) (* (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))) (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))))))))>
#<alt (/ 1 (/ (- 1 (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))))) (- 1 (* (* x (* x (* x x))) (* (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))) (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))))))>
#<alt (/ (- 1 (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))))) (- 1 (* (* x (* x (* x x))) (* (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))) (+ 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 (/ (* (+ 1 (* (* x (* x x)) (* (* x (* x x)) (* (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))) (* (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))) (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))))))) x) (+ 1 (* (* 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))))>
#<alt (* (+ 1 (* (* x (* x x)) (* (* x (* x x)) (* (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))) (* (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))) (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))))))) x)>
#<alt (+ 1 (* (* x (* x x)) (* (* x (* 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)))))))))))>
#<alt (* (* x (* x x)) (* (* x (* 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))))))))))>
#<alt (* (/ x (- 1 x)) (/ x (- 1 x)))>
#<alt (log (+ 1 (* (neg x) (/ 2 (- 1 x)))))>
#<alt (/ 2 (- 1 x))>
#<alt (/ x (- 1 x))>
#<alt (* x 1/7)>
#<alt (* (+ 1/125 (* (* x (* x x)) (* (* x (* x x)) 1/343))) (* x x))>
#<alt (/ (* (+ 1/125 (* (* x (* x x)) (* (* x (* x x)) 1/343))) (* x x)) (+ 1/25 (* (* x (* x 1/7)) (- (* x (* x 1/7)) 1/5))))>
#<alt (* (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))) (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))>
#<alt (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))>
#<alt (* x (+ 1/5 (* x (* x 1/7))))>

Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/2 (- (log -3) (log 3)))>
#<alt (+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))>
#<alt (+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))>
#<alt (* 1/2 (- (log -3) (log 3)))>
#<alt (+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))>
#<alt (+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
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#<alt -4>
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#<alt (pow x 2)>
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#<alt x>
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#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/7 (pow x 7))>
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#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
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#<alt 1/3>
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#<alt x>
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#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
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#<alt 1>
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#<alt (/ 7 (pow x 6))>
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#<alt 1>
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#<alt (* -1/7 (pow x 6))>
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#<alt (* -1/7 (pow x 6))>
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#<alt x>
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#<alt (* 1/7 (pow x 7))>
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#<alt x>
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#<alt (* x (+ 1 (* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* 46/525 (pow x 2))))))))>
#<alt (* 1/343 (pow x 19))>
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#<alt (* (pow x 19) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))>
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#<alt (* 1/343 (pow x 19))>
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#<alt (* -1 (* (pow x 19) (- (* -1 (/ (+ 3/245 (* 46/1225 (/ 1 (pow x 2)))) (pow x 2))) 1/343)))>
#<alt (* -1 (* (pow x 19) (- (* -1 (/ (+ 46/1225 (* 57/875 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))))>
#<alt 1>
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#<alt (+ 1 (* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* 46/525 (pow x 2)))))))>
#<alt (* 1/343 (pow x 18))>
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#<alt (* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))>
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#<alt (* 1/343 (pow x 18))>
#<alt (* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))>
#<alt (* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))>
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#<alt (* 1/27 (pow x 6))>
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#<alt (* 1/343 (pow x 18))>
#<alt (* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))>
#<alt (* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))>
#<alt (* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))>
#<alt (* 1/343 (pow x 18))>
#<alt (* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))>
#<alt (* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))>
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#<alt (pow x 2)>
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#<alt (* (pow x 2) (+ 1 (* x (+ 2 (* 3 x)))))>
#<alt (* (pow x 2) (+ 1 (* x (+ 2 (* x (+ 3 (* 4 x)))))))>
#<alt 1>
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#<alt (+ 1 (+ (* 2 (/ 1 x)) (/ 3 (pow x 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 x)) (+ (* 4 (/ 1 (pow x 3))) (/ 3 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 x)))>
#<alt (+ 1 (+ (* 2 (/ 1 x)) (/ 3 (pow x 2))))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (* 4 (/ 1 x))) x)) 2) x)))>
#<alt (* -2 x)>
#<alt (* x (- (* -4 x) 2))>
#<alt (* x (- (* x (- (* -26/3 x) 4)) 2))>
#<alt (* x (- (* x (- (* x (- (* -20 x) 26/3)) 4)) 2))>
#<alt (log 3)>
#<alt (+ (log 3) (* 2/3 (/ 1 x)))>
#<alt (+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))>
#<alt (+ (log 3) (+ (/ 4/9 (pow x 2)) (+ (* 2/3 (/ 1 x)) (* 26/81 (/ 1 (pow x 3))))))>
#<alt (log 3)>
#<alt (+ (log 3) (* 2/3 (/ 1 x)))>
#<alt (+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))>
#<alt (+ (log 3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) x)) 2/3) x)))>
#<alt 2>
#<alt (+ 2 (* 2 x))>
#<alt (+ 2 (* x (+ 2 (* 2 x))))>
#<alt (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))>
#<alt (/ -2 x)>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x)>
#<alt (/ -2 x)>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x))>
#<alt x>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 (* x (+ 1 x))))>
#<alt (* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))>
#<alt -1>
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#<alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)>
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#<alt -1>
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#<alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)>
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#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/125 (pow x 2))>
#<alt (* (pow x 2) (+ 1/125 (* 1/343 (pow x 6))))>
#<alt (* (pow x 2) (+ 1/125 (* 1/343 (pow x 6))))>
#<alt (* (pow x 2) (+ 1/125 (* 1/343 (pow x 6))))>
#<alt (* 1/343 (pow x 8))>
#<alt (* (pow x 8) (+ 1/343 (* 1/125 (/ 1 (pow x 6)))))>
#<alt (* (pow x 8) (+ 1/343 (* 1/125 (/ 1 (pow x 6)))))>
#<alt (* (pow x 8) (+ 1/343 (* 1/125 (/ 1 (pow x 6)))))>
#<alt (* 1/343 (pow x 8))>
#<alt (* (pow x 8) (+ 1/343 (* 1/125 (/ 1 (pow x 6)))))>
#<alt (* (pow x 8) (+ 1/343 (* 1/125 (/ 1 (pow x 6)))))>
#<alt (* (pow x 8) (+ 1/343 (* 1/125 (/ 1 (pow x 6)))))>
#<alt (* 1/5 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt 1/9>
#<alt (+ 1/9 (* 2/15 (pow x 2)))>
#<alt (+ 1/9 (* (pow x 2) (+ 2/15 (* 71/525 (pow x 2)))))>
#<alt (+ 1/9 (* (pow x 2) (+ 2/15 (* (pow x 2) (+ 71/525 (* 2/35 (pow x 2)))))))>
#<alt (* 1/49 (pow x 8))>
#<alt (* (pow x 8) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))>
#<alt (* 1/49 (pow x 8))>
#<alt (* (pow x 8) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* 1/7 (pow x 5))>
#<alt (* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/7 (pow x 5))>
#<alt (* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* 1/5 x)>
#<alt (* x (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* x (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* x (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* 1/7 (pow x 3))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/7 (pow x 3))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>

Calls

90 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(* x (/ 1 (/ (- 1 (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))))) (- 1 (* (* x (* x (* x x))) (* (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))) (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))))))))
1.0ms	x	@	0	(* 1/2 (- (log (+ 1 (neg (* 4 (* (/ x (- 1 x)) (/ x (- 1 x))))))) (log (+ 1 (* (neg x) (/ 2 (- 1 x)))))))
1.0ms	x	@	inf	(* (+ 1/125 (* (* x (* x x)) (* (* x (* x x)) 1/343))) (* x x))
1.0ms	x	@	-inf	(* 1/2 (- (log (+ 1 (neg (* 4 (* (/ x (- 1 x)) (/ x (- 1 x))))))) (log (+ 1 (* (neg x) (/ 2 (- 1 x)))))))
1.0ms	x	@	inf	(* 1/2 (- (log (+ 1 (neg (* 4 (* (/ x (- 1 x)) (/ x (- 1 x))))))) (log (+ 1 (* (neg x) (/ 2 (- 1 x)))))))

rewrite444.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

4492×	`-lowering-.f32`
4492×	`-lowering-.f64`
1792×	`unpow-prod-down`
1758×	`pow-lowering-pow.f64`
1758×	`pow-lowering-pow.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	67	544
1	454	315
2	4605	314
0	9479	314

Stop Event

1×	iter limit
1×	node limit

Counts

30 → 750

Calls

Call 1

Inputs
(* 1/2 (- (log (+ 1 (neg (* 4 (* (/ x (- 1 x)) (/ x (- 1 x))))))) (log (+ 1 (* (neg x) (/ 2 (- 1 x)))))))
(- (log (+ 1 (neg (* 4 (* (/ x (- 1 x)) (/ x (- 1 x))))))) (log (+ 1 (* (neg x) (/ 2 (- 1 x))))))
(log (+ 1 (neg (* 4 (* (/ x (- 1 x)) (/ x (- 1 x)))))))
(neg (* 4 (* (/ x (- 1 x)) (/ x (- 1 x)))))
(+ (* x (* (* x x) 1/3)) x)
(* x (* (* x x) 1/3))
(* (* x x) 1/3)
(* x x)
(* x (+ 1 (* (* x x) (+ 1/3 (/ (* (+ 1/125 (* (* x (* x x)) (* (* x (* x x)) 1/343))) (* x x)) (+ 1/25 (* (* x (* x 1/7)) (- (* x (* x 1/7)) 1/5))))))))
(+ 1 (* (* x x) (+ 1/3 (/ (* (+ 1/125 (* (* x (* x x)) (* (* x (* x x)) 1/343))) (* x x)) (+ 1/25 (* (* x (* x 1/7)) (- (* x (* x 1/7)) 1/5)))))))
(* (* x x) (+ 1/3 (/ (* (+ 1/125 (* (* x (* x x)) (* (* x (* x x)) 1/343))) (* x x)) (+ 1/25 (* (* x (* x 1/7)) (- (* x (* x 1/7)) 1/5))))))
(+ 1/3 (/ (* (+ 1/125 (* (* x (* x x)) (* (* x (* x x)) 1/343))) (* x x)) (+ 1/25 (* (* x (* x 1/7)) (- (* x (* x 1/7)) 1/5)))))
(* x (/ 1 (/ (- 1 (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))))) (- 1 (* (* x (* x (* x x))) (* (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))) (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))))))))
(/ 1 (/ (- 1 (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))))) (- 1 (* (* x (* x (* x x))) (* (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))) (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))))))
(/ (- 1 (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))))) (- 1 (* (* x (* x (* x x))) (* (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))) (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))))))
(- 1 (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))))
(/ (* (+ 1 (* (* x (* x x)) (* (* x (* x x)) (* (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))) (* (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))) (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))))))) x) (+ 1 (* (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))) (- (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))) 1))))
(* (+ 1 (* (* x (* x x)) (* (* x (* x x)) (* (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))) (* (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))) (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))))))) x)
(+ 1 (* (* x (* x x)) (* (* x (* x x)) (* (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))) (* (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))) (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))))))
(* (* x (* x x)) (* (* x (* x x)) (* (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))) (* (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))) (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7))))))))))
(* (/ x (- 1 x)) (/ x (- 1 x)))
(log (+ 1 (* (neg x) (/ 2 (- 1 x)))))
(/ 2 (- 1 x))
(/ x (- 1 x))
(* x 1/7)
(* (+ 1/125 (* (* x (* x x)) (* (* x (* x x)) 1/343))) (* x x))
(/ (* (+ 1/125 (* (* x (* x x)) (* (* x (* x x)) 1/343))) (* x x)) (+ 1/25 (* (* x (* x 1/7)) (- (* x (* x 1/7)) 1/5))))
(* (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))) (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))
(* x (+ 1/3 (* x (* x (+ 1/5 (* x (* x 1/7)))))))
(* x (+ 1/5 (* x (* x 1/7))))

Outputs
(+.f32 (.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal -4 binary32) (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) x)))) (.f32 #s(literal 1/2 binary32) (neg.f32 (log1p.f32 (/.f32 (neg.f32 x) (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)))))))
(+.f32 (.f32 (log1p.f32 (/.f32 (.f32 #s(literal -4 binary32) (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) x))) #s(literal 1/2 binary32)) (.f32 (neg.f32 (log1p.f32 (/.f32 (neg.f32 x) (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))))) #s(literal 1/2 binary32)))
(/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal -4 binary32) (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) x))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (/.f32 (neg.f32 x) (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)))) #s(literal 3 binary32)))) (+.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal -4 binary32) (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) x))) #s(literal 2 binary32)) (.f32 (log1p.f32 (/.f32 (neg.f32 x) (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -4 binary32) (*.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)))))))))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -4 binary32) (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)))))) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -4 binary32) (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)))))))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -4 binary32) (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)))))))
(/.f32 (.f32 (-.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal -4 binary32) (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) x))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (/.f32 (neg.f32 x) (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)))) #s(literal 3 binary32))) #s(literal 1/2 binary32)) (+.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal -4 binary32) (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) x))) #s(literal 2 binary32)) (.f32 (log1p.f32 (/.f32 (neg.f32 x) (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -4 binary32) (*.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)))))))))
(/.f32 (.f32 (.f32 (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -4 binary32) (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)))))) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -4 binary32) (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))))))) #s(literal 1/2 binary32)) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -4 binary32) (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)))))))
(.f32 #s(literal 1/2 binary32) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -4 binary32) (*.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)))))))
(.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -4 binary32) (*.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)))))) #s(literal 1/2 binary32))
(neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -4 binary32) (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) x))))))
(+.f32 (log1p.f32 (/.f32 (.f32 #s(literal -4 binary32) (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) x))) (neg.f32 (log1p.f32 (/.f32 (neg.f32 x) (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))))))
(+.f32 (neg.f32 (log1p.f32 (/.f32 (neg.f32 x) (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))))) (log1p.f32 (/.f32 (.f32 #s(literal -4 binary32) (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) x))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -4 binary32) (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) x))) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (neg.f32 x) (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) (.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)))))))) (log1p.f32 (*.f32 (/.f32 (neg.f32 x) (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) (-.f32 (/.f32 (neg.f32 x) (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) #s(literal 1 binary32)))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -4 binary32) (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))))))) (log1p.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)))))
(pow.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal -4 binary32) (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) x))) #s(literal 2 binary32)) (.f32 (log1p.f32 (/.f32 (neg.f32 x) (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -4 binary32) (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)))))))) (-.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal -4 binary32) (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) x))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (/.f32 (neg.f32 x) (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)))) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -4 binary32) (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)))))) (.f32 (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -4 binary32) (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)))))) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -4 binary32) (*.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)))))))) #s(literal -1 binary32))
(-.f32 (log1p.f32 (/.f32 (.f32 #s(literal -4 binary32) (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) x))) (log1p.f32 (/.f32 (neg.f32 x) (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -4 binary32) (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) x))))))
(-.f32 (log1p.f32 (.f32 (/.f32 (.f32 #s(literal -4 binary32) (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) x)) (.f32 #s(literal 16 binary32) (.f32 (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (/.f32 (-.f32 #s(literal 1 binary32) x) x)) (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (/.f32 (-.f32 #s(literal 1 binary32) x) x)))))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (.f32 #s(literal -4 binary32) (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) x)) (-.f32 (/.f32 (.f32 #s(literal -4 binary32) (*.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))))))
(-.f32 (log1p.f32 (.f32 (/.f32 (.f32 #s(literal 4 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))) (/.f32 (-.f32 #s(literal 1 binary32) x) x)) (/.f32 (.f32 #s(literal -4 binary32) (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) x)))) (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 4 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))) (/.f32 (-.f32 #s(literal 1 binary32) x) x))))))
(-.f32 (/.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal -4 binary32) (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) x))) #s(literal 3 binary32)) (+.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal -4 binary32) (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) x))) #s(literal 2 binary32)) (.f32 (log1p.f32 (/.f32 (neg.f32 x) (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -4 binary32) (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))))))))) (/.f32 (pow.f32 (log1p.f32 (/.f32 (neg.f32 x) (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)))) #s(literal 3 binary32)) (+.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal -4 binary32) (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) x))) #s(literal 2 binary32)) (.f32 (log1p.f32 (/.f32 (neg.f32 x) (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -4 binary32) (.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))))))))))
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(pow.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))))) #s(literal -1 binary32))
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(.f32 (pow.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32)))) #s(literal 1 binary32)) (pow.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 (.f32 x (*.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32)))) #s(literal 1 binary32)))
(.f32 (pow.f32 (+.f32 #s(literal 1/27 binary32) (.f32 (.f32 (.f32 x x) (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))) (.f32 x (.f32 (.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))) (.f32 (.f32 x x) (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))))) #s(literal 2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 (.f32 x x) (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))) (-.f32 (.f32 (.f32 x x) (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))))) #s(literal 2 binary32)))
(.f32 (pow.f32 (-.f32 #s(literal 1/9 binary32) (.f32 x (.f32 (.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))) (.f32 (.f32 x x) (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32)))))) #s(literal 2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))) #s(literal 2 binary32)))
(+.f32 (.f32 (.f32 x (.f32 x x)) (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))) (.f32 x #s(literal 1/3 binary32)))
(+.f32 (.f32 x #s(literal 1/3 binary32)) (.f32 (.f32 x (.f32 x x)) (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))
(fma.f32 x #s(literal 1/3 binary32) (.f32 (.f32 x (.f32 x x)) (+.f32 (.f32 x (*.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))
(fma.f32 #s(literal 1/3 binary32) x (.f32 (.f32 x (.f32 x x)) (+.f32 (.f32 x (*.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))
(/.f32 (+.f32 (.f32 (.f32 x (.f32 x x)) #s(literal 1/27 binary32)) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 (.f32 x x) (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))) (.f32 x (.f32 (.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))) (.f32 (.f32 x x) (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32)))))))) (+.f32 (.f32 (.f32 x #s(literal 1/3 binary32)) (.f32 x #s(literal 1/3 binary32))) (-.f32 (.f32 (.f32 (.f32 x (.f32 x x)) (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))) (.f32 (.f32 x (.f32 x x)) (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32)))) (.f32 (.f32 x #s(literal 1/3 binary32)) (.f32 (.f32 x (.f32 x x)) (+.f32 (.f32 x (*.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32)))))))
(/.f32 (-.f32 (.f32 (.f32 x #s(literal 1/3 binary32)) (.f32 x #s(literal 1/3 binary32))) (.f32 (.f32 (.f32 x (.f32 x x)) (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))) (.f32 (.f32 x (.f32 x x)) (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))) (-.f32 (.f32 x #s(literal 1/3 binary32)) (.f32 (.f32 x (.f32 x x)) (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32)))))
(/.f32 (.f32 x (+.f32 #s(literal 1/27 binary32) (.f32 (.f32 (.f32 x x) (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))) (.f32 x (.f32 (.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))) (.f32 (.f32 x x) (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32)))))))) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 (.f32 x x) (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))) (-.f32 (.f32 (.f32 x x) (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))))
(/.f32 (.f32 x (-.f32 #s(literal 1/9 binary32) (.f32 x (.f32 (.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))) (.f32 (.f32 x x) (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))))) (-.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32)))))
(/.f32 (.f32 (+.f32 #s(literal 1/27 binary32) (.f32 (.f32 (.f32 x x) (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))) (.f32 x (.f32 (.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))) (.f32 (.f32 x x) (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))))))) x) (+.f32 #s(literal 1/9 binary32) (.f32 (.f32 (.f32 x x) (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))) (-.f32 (.f32 (.f32 x x) (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))))
(/.f32 (.f32 (-.f32 #s(literal 1/9 binary32) (.f32 x (.f32 (.f32 x (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32))) (.f32 (.f32 x x) (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32)))))) x) (-.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32)))))
(.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 (.f32 x (*.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32)))))
(.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 (.f32 x (*.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32)))) x)
(+.f32 (.f32 x #s(literal 1/5 binary32)) (.f32 (.f32 x x) (.f32 x #s(literal 1/7 binary32))))
(+.f32 (.f32 (.f32 x x) (.f32 x #s(literal 1/7 binary32))) (.f32 x #s(literal 1/5 binary32)))
(fma.f32 x #s(literal 1/5 binary32) (.f32 (.f32 x x) (*.f32 x #s(literal 1/7 binary32))))
(fma.f32 #s(literal 1/5 binary32) x (.f32 (.f32 x x) (*.f32 x #s(literal 1/7 binary32))))
(/.f32 (.f32 x (+.f32 #s(literal 1/125 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 (.f32 x x) #s(literal 1/343 binary32)))))) (+.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) (+.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal -1/5 binary32)))))
(/.f32 (+.f32 (.f32 #s(literal 1/125 binary32) (.f32 x (.f32 x x))) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 (.f32 x x) #s(literal 1/343 binary32)))))) (+.f32 (.f32 (.f32 x #s(literal 1/5 binary32)) (.f32 x #s(literal 1/5 binary32))) (-.f32 (.f32 (.f32 (.f32 x x) (.f32 x #s(literal 1/7 binary32))) (.f32 (.f32 x x) (.f32 x #s(literal 1/7 binary32)))) (.f32 (.f32 x #s(literal 1/5 binary32)) (.f32 (.f32 x x) (*.f32 x #s(literal 1/7 binary32)))))))
(/.f32 (-.f32 (.f32 (.f32 x #s(literal 1/5 binary32)) (.f32 x #s(literal 1/5 binary32))) (.f32 (.f32 (.f32 x x) (.f32 x #s(literal 1/7 binary32))) (.f32 (.f32 x x) (.f32 x #s(literal 1/7 binary32))))) (-.f32 (.f32 x #s(literal 1/5 binary32)) (.f32 (.f32 x x) (.f32 x #s(literal 1/7 binary32)))))
(/.f32 (.f32 x (-.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 1/49 binary32)))) (-.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32)))))
(/.f32 (.f32 (-.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 1/49 binary32))) x) (-.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32)))))
(.f32 x (+.f32 (.f32 x (*.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32)))
(.f32 (+.f32 (.f32 x (*.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32)) x)

simplify332.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

5710×	`+-lowering-+.f64`
5710×	`+-lowering-+.f32`
4284×	`-lowering-.f32`
4284×	`-lowering-.f64`
1476×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	488	3684
1	1524	3187
2	4471	3118
0	8540	3118

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/2 (- (log -3) (log 3)))
(+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* 1/2 (- (log -3) (log 3)))
(+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (- (log -3) (log 3))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(- (log -3) (log 3))
(- (+ (log -3) (* 2 (/ 1 x))) (log 3))
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3))
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) (log 3))
(- (log -3) (log 3))
(- (+ (log -3) (* 2 (/ 1 x))) (log 3))
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3))
(- (+ (log -3) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) (log 3))
(* -4 (pow x 2))
(* (pow x 2) (- (* -8 x) 4))
(* (pow x 2) (- (* x (- (* -20 x) 8)) 4))
(* (pow x 2) (- (* x (- (* x (- (* -48 x) 20)) 8)) 4))
(log -3)
(+ (log -3) (* 8/3 (/ 1 x)))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (+ (* 8/3 (/ 1 x)) (* 80/81 (/ 1 (pow x 3))))))
(log -3)
(+ (log -3) (* 8/3 (/ 1 x)))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))
(+ (log -3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 80/81 (/ 1 x))) x)) 8/3) x)))
(* -4 (pow x 2))
(* (pow x 2) (- (* -8 x) 4))
(* (pow x 2) (- (* x (- (* -12 x) 8)) 4))
(* (pow x 2) (- (* x (- (* x (- (* -16 x) 12)) 8)) 4))
-4
(* -1 (+ 4 (* 8 (/ 1 x))))
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4)
(- (* -1 (/ (+ 12 (* 16 (/ 1 x))) (pow x 2))) (+ 4 (* 8 (/ 1 x))))
-4
(* -1 (+ 4 (* 8 (/ 1 x))))
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4)
(- (* -1 (/ (+ 8 (+ (* 12 (/ 1 x)) (/ 16 (pow x 2)))) x)) 4)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 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 (* (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))))))
1/3
(+ 1/3 (* 1/5 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(+ 1/3 (* (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 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 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 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3)))
(/ 7 (pow x 6))
(/ (- 7 (* 49/5 (/ 1 (pow x 2)))) (pow x 6))
(/ (+ 7 (* -1 (/ (+ 49/5 (* 196/75 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 6))
(/ (- (+ 7 (* -1 (/ (+ 196/75 (* 8428/375 (/ 1 (pow x 2)))) (pow x 4)))) (* 49/5 (/ 1 (pow x 2)))) (pow x 6))
(/ 7 (pow x 6))
(/ (- 7 (* 49/5 (/ 1 (pow x 2)))) (pow x 6))
(/ (+ 7 (* -1 (/ (+ 49/5 (* 196/75 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 6))
(/ (- (+ 7 (* -1 (/ (+ 196/75 (* 8428/375 (/ 1 (pow x 2)))) (pow x 4)))) (* 49/5 (/ 1 (pow x 2)))) (pow x 6))
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/5 (pow x 2)) 1/3)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/7 (pow x 2)) 1/5)) 1/3)))
(* -1/7 (pow x 6))
(* -1 (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))))
(* -1/7 (pow x 6))
(* -1 (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
x
(* x (+ 1 (* 1/27 (pow x 6))))
(* x (+ 1 (* (pow x 6) (+ 1/27 (* 1/15 (pow x 2))))))
(* x (+ 1 (* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* 46/525 (pow x 2))))))))
(* 1/343 (pow x 19))
(* (pow x 19) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))
(* (pow x 19) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))
(* (pow x 19) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))
(* 1/343 (pow x 19))
(* (pow x 19) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))
(* -1 (* (pow x 19) (- (* -1 (/ (+ 3/245 (* 46/1225 (/ 1 (pow x 2)))) (pow x 2))) 1/343)))
(* -1 (* (pow x 19) (- (* -1 (/ (+ 46/1225 (* 57/875 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))))
1
(+ 1 (* 1/27 (pow x 6)))
(+ 1 (* (pow x 6) (+ 1/27 (* 1/15 (pow x 2)))))
(+ 1 (* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* 46/525 (pow x 2)))))))
(* 1/343 (pow x 18))
(* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))
(* 1/343 (pow x 18))
(* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))
(* 1/27 (pow x 6))
(* (pow x 6) (+ 1/27 (* 1/15 (pow x 2))))
(* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* 46/525 (pow x 2))))))
(* (pow x 6) (+ 1/27 (* (pow x 2) (+ 1/15 (* (pow x 2) (+ 46/525 (* 57/875 (pow x 2))))))))
(* 1/343 (pow x 18))
(* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))
(* 1/343 (pow x 18))
(* (pow x 18) (+ 1/343 (* 3/245 (/ 1 (pow x 2)))))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (* 3/245 (/ 1 (pow x 2))))))
(* (pow x 18) (+ 1/343 (+ (/ 46/1225 (pow x 4)) (+ (* 3/245 (/ 1 (pow x 2))) (* 57/875 (/ 1 (pow x 6)))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 x)))
(* (pow x 2) (+ 1 (* x (+ 2 (* 3 x)))))
(* (pow x 2) (+ 1 (* x (+ 2 (* x (+ 3 (* 4 x)))))))
1
(+ 1 (* 2 (/ 1 x)))
(+ 1 (+ (* 2 (/ 1 x)) (/ 3 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 x)) (+ (* 4 (/ 1 (pow x 3))) (/ 3 (pow x 2)))))
1
(+ 1 (* 2 (/ 1 x)))
(+ 1 (+ (* 2 (/ 1 x)) (/ 3 (pow x 2))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (* 4 (/ 1 x))) x)) 2) x)))
(* -2 x)
(* x (- (* -4 x) 2))
(* x (- (* x (- (* -26/3 x) 4)) 2))
(* x (- (* x (- (* x (- (* -20 x) 26/3)) 4)) 2))
(log 3)
(+ (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (+ (* 2/3 (/ 1 x)) (* 26/81 (/ 1 (pow x 3))))))
(log 3)
(+ (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+ (log 3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) x)) 2/3) x)))
2
(+ 2 (* 2 x))
(+ 2 (* x (+ 2 (* 2 x))))
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(/ -2 x)
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x)
(/ -2 x)
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x))
x
(* x (+ 1 x))
(* x (+ 1 (* x (+ 1 x))))
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/125 (pow x 2))
(* (pow x 2) (+ 1/125 (* 1/343 (pow x 6))))
(* (pow x 2) (+ 1/125 (* 1/343 (pow x 6))))
(* (pow x 2) (+ 1/125 (* 1/343 (pow x 6))))
(* 1/343 (pow x 8))
(* (pow x 8) (+ 1/343 (* 1/125 (/ 1 (pow x 6)))))
(* (pow x 8) (+ 1/343 (* 1/125 (/ 1 (pow x 6)))))
(* (pow x 8) (+ 1/343 (* 1/125 (/ 1 (pow x 6)))))
(* 1/343 (pow x 8))
(* (pow x 8) (+ 1/343 (* 1/125 (/ 1 (pow x 6)))))
(* (pow x 8) (+ 1/343 (* 1/125 (/ 1 (pow x 6)))))
(* (pow x 8) (+ 1/343 (* 1/125 (/ 1 (pow x 6)))))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
1/9
(+ 1/9 (* 2/15 (pow x 2)))
(+ 1/9 (* (pow x 2) (+ 2/15 (* 71/525 (pow x 2)))))
(+ 1/9 (* (pow x 2) (+ 2/15 (* (pow x 2) (+ 71/525 (* 2/35 (pow x 2)))))))
(* 1/49 (pow x 8))
(* (pow x 8) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))
(* 1/49 (pow x 8))
(* (pow x 8) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))
(* 1/3 x)
(* x (+ 1/3 (* 1/5 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* 1/7 (pow x 5))
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/7 (pow x 5))
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* 1/5 x)
(* x (+ 1/5 (* 1/7 (pow x 2))))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(* 1/7 (pow x 3))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/7 (pow x 3))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))

Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.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 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
(* 1/2 (- (log -3) (log 3)))
(*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32))))
(+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))
(+.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x x)))))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(+.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32)))) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x x)))) (/.f32 #s(literal 1/5 binary32) (pow.f32 x #s(literal 5 binary32)))))
(* 1/2 (- (log -3) (log 3)))
(*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32))))
(+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))
(+.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x x)))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (- (log -3) (log 3))))
(-.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32)))) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #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 x (.f32 x (+.f32 #s(literal 2/3 binary32) (.f32 (*.f32 x x) #s(literal 2/5 binary32)))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(.f32 x (+.f32 #s(literal 2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 2/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 2/5 binary32) (.f32 (*.f32 x x) #s(literal 2/7 binary32))))))))
(- (log -3) (log 3))
(-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32)))
(- (+ (log -3) (* 2 (/ 1 x))) (log 3))
(+.f32 (log.f32 #s(literal -3 binary32)) (-.f32 (/.f32 #s(literal 2 binary32) x) (log.f32 #s(literal 3 binary32))))
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3))
(+.f32 (log.f32 #s(literal -3 binary32)) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (.f32 x (.f32 x x)))) (log.f32 #s(literal 3 binary32))))
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) (log 3))
(+.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (.f32 x (.f32 x x)))) (+.f32 (-.f32 (/.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 5 binary32))) (log.f32 #s(literal 3 binary32))) (log.f32 #s(literal -3 binary32))))
(- (log -3) (log 3))
(-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32)))
(- (+ (log -3) (* 2 (/ 1 x))) (log 3))
(+.f32 (log.f32 #s(literal -3 binary32)) (-.f32 (/.f32 #s(literal 2 binary32) x) (log.f32 #s(literal 3 binary32))))
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3))
(+.f32 (log.f32 #s(literal -3 binary32)) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (.f32 x (.f32 x x)))) (log.f32 #s(literal 3 binary32))))
(- (+ (log -3) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) (log 3))
(-.f32 (-.f32 (log.f32 #s(literal -3 binary32)) (/.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)) (log.f32 #s(literal 3 binary32)))
(* -4 (pow x 2))
(.f32 x (.f32 x #s(literal -4 binary32)))
(* (pow x 2) (- (* -8 x) 4))
(.f32 x (.f32 x (+.f32 #s(literal -4 binary32) (*.f32 x #s(literal -8 binary32)))))
(* (pow x 2) (- (* x (- (* -20 x) 8)) 4))
(.f32 (.f32 x x) (+.f32 #s(literal -4 binary32) (.f32 x (+.f32 #s(literal -8 binary32) (.f32 x #s(literal -20 binary32))))))
(* (pow x 2) (- (* x (- (* x (- (* -48 x) 20)) 8)) 4))
(.f32 (.f32 x x) (+.f32 #s(literal -4 binary32) (.f32 x (+.f32 #s(literal -8 binary32) (.f32 x (+.f32 #s(literal -20 binary32) (*.f32 x #s(literal -48 binary32))))))))
(log -3)
(log.f32 #s(literal -3 binary32))
(+ (log -3) (* 8/3 (/ 1 x)))
(+.f32 (log.f32 #s(literal -3 binary32)) (/.f32 #s(literal 8/3 binary32) x))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))
(+.f32 (log.f32 #s(literal -3 binary32)) (+.f32 (/.f32 #s(literal 8/3 binary32) x) (/.f32 #s(literal 4/9 binary32) (*.f32 x x))))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (+ (* 8/3 (/ 1 x)) (* 80/81 (/ 1 (pow x 3))))))
(+.f32 (log.f32 #s(literal -3 binary32)) (+.f32 (/.f32 #s(literal 8/3 binary32) x) (+.f32 (/.f32 #s(literal 4/9 binary32) (.f32 x x)) (/.f32 #s(literal 80/81 binary32) (.f32 x (*.f32 x x))))))
(log -3)
(log.f32 #s(literal -3 binary32))
(+ (log -3) (* 8/3 (/ 1 x)))
(+.f32 (log.f32 #s(literal -3 binary32)) (/.f32 #s(literal 8/3 binary32) x))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))
(+.f32 (log.f32 #s(literal -3 binary32)) (+.f32 (/.f32 #s(literal 8/3 binary32) x) (/.f32 #s(literal 4/9 binary32) (*.f32 x x))))
(+ (log -3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 80/81 (/ 1 x))) x)) 8/3) x)))
(-.f32 (log.f32 #s(literal -3 binary32)) (/.f32 (-.f32 #s(literal -8/3 binary32) (/.f32 (+.f32 #s(literal 4/9 binary32) (/.f32 #s(literal 80/81 binary32) x)) x)) x))
(* -4 (pow x 2))
(.f32 x (.f32 x #s(literal -4 binary32)))
(* (pow x 2) (- (* -8 x) 4))
(.f32 x (.f32 x (+.f32 #s(literal -4 binary32) (*.f32 x #s(literal -8 binary32)))))
(* (pow x 2) (- (* x (- (* -12 x) 8)) 4))
(.f32 (.f32 x x) (+.f32 #s(literal -4 binary32) (.f32 x (+.f32 #s(literal -8 binary32) (.f32 x #s(literal -12 binary32))))))
(* (pow x 2) (- (* x (- (* x (- (* -16 x) 12)) 8)) 4))
(.f32 (.f32 x x) (+.f32 #s(literal -4 binary32) (.f32 x (+.f32 #s(literal -8 binary32) (.f32 x (+.f32 #s(literal -12 binary32) (*.f32 x #s(literal -16 binary32))))))))
-4
#s(literal -4 binary32)
(* -1 (+ 4 (* 8 (/ 1 x))))
(+.f32 #s(literal -4 binary32) (/.f32 #s(literal -8 binary32) x))
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4)
(-.f32 #s(literal -4 binary32) (/.f32 (+.f32 #s(literal 8 binary32) (/.f32 #s(literal 12 binary32) x)) x))
(- (* -1 (/ (+ 12 (* 16 (/ 1 x))) (pow x 2))) (+ 4 (* 8 (/ 1 x))))
(-.f32 (+.f32 #s(literal -4 binary32) (/.f32 #s(literal -8 binary32) x)) (/.f32 (+.f32 #s(literal 12 binary32) (/.f32 #s(literal 16 binary32) x)) (*.f32 x x)))
-4
#s(literal -4 binary32)
(* -1 (+ 4 (* 8 (/ 1 x))))
(+.f32 #s(literal -4 binary32) (/.f32 #s(literal -8 binary32) x))
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4)
(-.f32 #s(literal -4 binary32) (/.f32 (+.f32 #s(literal 8 binary32) (/.f32 #s(literal 12 binary32) x)) x))
(- (* -1 (/ (+ 8 (+ (* 12 (/ 1 x)) (/ 16 (pow x 2)))) x)) 4)
(-.f32 #s(literal -4 binary32) (/.f32 (+.f32 (/.f32 #s(literal 12 binary32) x) (+.f32 #s(literal 8 binary32) (/.f32 #s(literal 16 binary32) (*.f32 x x)))) x))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))
(* 1/3 (pow x 3))
(.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x x)))
(* (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 #s(literal 1/3 binary32) (.f32 x (*.f32 x x)))
(* (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 #s(literal 1/3 binary32) (.f32 x (*.f32 x x)))
(* 1/3 (pow x 3))
(.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x x)))
(* 1/3 (pow x 3))
(.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x x)))
(* 1/3 (pow x 3))
(.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x x)))
(* 1/3 (pow x 3))
(.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x x)))
(* 1/3 (pow x 3))
(.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x x)))
(* 1/3 (pow x 3))
(.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x x)))
(* 1/3 (pow x 3))
(.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x x)))
(* 1/3 (pow x 3))
(.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x x)))
(* 1/3 (pow x 3))
(.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x x)))
(* 1/3 (pow x 3))
(.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x x)))
(* 1/3 (pow x 3))
(.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x x)))
(* 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))
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(.f32 (.f32 x x) (+.f32 #s(literal 1/125 binary32) (*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1/343 binary32))))
(* (pow x 2) (+ 1/125 (* 1/343 (pow x 6))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/125 binary32) (*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1/343 binary32))))
(* (pow x 2) (+ 1/125 (* 1/343 (pow x 6))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/125 binary32) (*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1/343 binary32))))
(* 1/343 (pow x 8))
(*.f32 #s(literal 1/343 binary32) (pow.f32 x #s(literal 8 binary32)))
(* (pow x 8) (+ 1/343 (* 1/125 (/ 1 (pow x 6)))))
(*.f32 (pow.f32 x #s(literal 8 binary32)) (+.f32 #s(literal 1/343 binary32) (/.f32 #s(literal 1/125 binary32) (pow.f32 x #s(literal 6 binary32)))))
(* (pow x 8) (+ 1/343 (* 1/125 (/ 1 (pow x 6)))))
(*.f32 (pow.f32 x #s(literal 8 binary32)) (+.f32 #s(literal 1/343 binary32) (/.f32 #s(literal 1/125 binary32) (pow.f32 x #s(literal 6 binary32)))))
(* (pow x 8) (+ 1/343 (* 1/125 (/ 1 (pow x 6)))))
(*.f32 (pow.f32 x #s(literal 8 binary32)) (+.f32 #s(literal 1/343 binary32) (/.f32 #s(literal 1/125 binary32) (pow.f32 x #s(literal 6 binary32)))))
(* 1/343 (pow x 8))
(*.f32 #s(literal 1/343 binary32) (pow.f32 x #s(literal 8 binary32)))
(* (pow x 8) (+ 1/343 (* 1/125 (/ 1 (pow x 6)))))
(*.f32 (pow.f32 x #s(literal 8 binary32)) (+.f32 #s(literal 1/343 binary32) (/.f32 #s(literal 1/125 binary32) (pow.f32 x #s(literal 6 binary32)))))
(* (pow x 8) (+ 1/343 (* 1/125 (/ 1 (pow x 6)))))
(*.f32 (pow.f32 x #s(literal 8 binary32)) (+.f32 #s(literal 1/343 binary32) (/.f32 #s(literal 1/125 binary32) (pow.f32 x #s(literal 6 binary32)))))
(* (pow x 8) (+ 1/343 (* 1/125 (/ 1 (pow x 6)))))
(*.f32 (pow.f32 x #s(literal 8 binary32)) (+.f32 #s(literal 1/343 binary32) (/.f32 #s(literal 1/125 binary32) (pow.f32 x #s(literal 6 binary32)))))
(* 1/5 (pow x 2))
(.f32 x (.f32 x #s(literal 1/5 binary32)))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.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)))
1/9
#s(literal 1/9 binary32)
(+ 1/9 (* 2/15 (pow x 2)))
(+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 2/15 binary32)))
(+ 1/9 (* (pow x 2) (+ 2/15 (* 71/525 (pow x 2)))))
(+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 2/15 binary32) (.f32 (.f32 x x) #s(literal 71/525 binary32)))))
(+ 1/9 (* (pow x 2) (+ 2/15 (* (pow x 2) (+ 71/525 (* 2/35 (pow x 2)))))))
(+.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 2/15 binary32) (.f32 x (.f32 x (+.f32 #s(literal 71/525 binary32) (.f32 (.f32 x x) #s(literal 2/35 binary32))))))))
(* 1/49 (pow x 8))
(*.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1/49 binary32))
(* (pow x 8) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 8 binary32)) (+.f32 #s(literal 1/49 binary32) (/.f32 #s(literal 2/35 binary32) (.f32 x x))))
(* (pow x 8) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(.f32 (pow.f32 x #s(literal 8 binary32)) (+.f32 (/.f32 #s(literal 2/35 binary32) (.f32 x x)) (+.f32 #s(literal 1/49 binary32) (/.f32 #s(literal 71/525 binary32) (.f32 (.f32 x x) (*.f32 x x))))))
(* (pow x 8) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))
(.f32 (pow.f32 x #s(literal 8 binary32)) (+.f32 (/.f32 #s(literal 2/35 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 71/525 binary32) (.f32 (.f32 x x) (*.f32 x x))) (+.f32 (/.f32 #s(literal 2/15 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1/49 binary32)))))
(* 1/49 (pow x 8))
(*.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1/49 binary32))
(* (pow x 8) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 8 binary32)) (+.f32 #s(literal 1/49 binary32) (/.f32 #s(literal 2/35 binary32) (.f32 x x))))
(* (pow x 8) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(.f32 (pow.f32 x #s(literal 8 binary32)) (+.f32 (/.f32 #s(literal 2/35 binary32) (.f32 x x)) (+.f32 #s(literal 1/49 binary32) (/.f32 #s(literal 71/525 binary32) (.f32 (.f32 x x) (*.f32 x x))))))
(* (pow x 8) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))
(.f32 (pow.f32 x #s(literal 8 binary32)) (+.f32 (/.f32 #s(literal 2/35 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 71/525 binary32) (.f32 (.f32 x x) (*.f32 x x))) (+.f32 (/.f32 #s(literal 2/15 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1/49 binary32)))))
(* 1/3 x)
(*.f32 x #s(literal 1/3 binary32))
(* x (+ 1/3 (* 1/5 (pow x 2))))
(.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x #s(literal 1/5 binary32)))))
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(.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 (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(.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 5))
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 5 binary32)))
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 5 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))))
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (pow.f32 x #s(literal 5 binary32)) (+.f32 #s(literal 1/7 binary32) (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (*.f32 x x))))))
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (pow.f32 x #s(literal 5 binary32)) (+.f32 #s(literal 1/7 binary32) (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (*.f32 x x))))))
(* 1/7 (pow x 5))
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 5 binary32)))
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 5 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(.f32 (-.f32 #s(literal -1/7 binary32) (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (*.f32 x x))) (neg.f32 (pow.f32 x #s(literal 5 binary32))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(.f32 (-.f32 #s(literal -1/7 binary32) (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (*.f32 x x))) (neg.f32 (pow.f32 x #s(literal 5 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))))

eval334.0ms (3.3%)

Compiler: Compiled 104642 to 5075 computations (95.2% saved)

prune175.0ms (1.7%)

Pruning

19 alts after pruning (9 fresh and 10 done)

	Pruned	Kept	Total
New	1636	7	1643
Fresh	4	2	6
Picked	4	1	5
Done	0	9	9
Total	1644	19	1663

Accuracy

100.0%

Counts

1663 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.3%	(+.f32 (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 (.f32 x (*.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32)))))) x)
✓	97.8%	(+.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))) x)
✓	97.2%	(+.f32 (.f32 x (.f32 (*.f32 x x) #s(literal 1/3 binary32))) x)
	98.6%	(.f32 x (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))))) (-.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))))))))
	97.8%	(.f32 x (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (*.f32 x x))) #s(literal 1/9 binary32))))))
	98.5%	(.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal -4/45 binary32) (.f32 (*.f32 x x) #s(literal -44/945 binary32))))))))))
	97.3%	(.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 x x) #s(literal -1/3 binary32)))))
	98.0%	(.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/3 binary32) (.f32 (*.f32 x x) #s(literal -4/45 binary32))))))))
✓	98.3%	(.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))))))))
✓	97.7%	(.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))))))
✓	97.1%	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (*.f32 x x) #s(literal 1/3 binary32))))
	98.9%	(.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (/.f32 (.f32 #s(literal -4 binary32) (*.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) x))) (log1p.f32 (/.f32 (neg.f32 x) (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))))))
	25.1%	(.f32 #s(literal 1/2 binary32) (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 #s(literal 4 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))))))
	25.3%	(.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) (-.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal 8 binary32)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x))) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))) (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))))))))))
✓	25.2%	(.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) (-.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) #s(literal 1 binary32)))) (+.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)))))))))
✓	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
✓	99.7%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x)))
✓	99.6%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 #s(literal 1 binary32) x)) x)))
✓	95.7%	x

Compiler

Compiled 1496 to 494 computations (67% saved)

regimes81.0ms (0.8%)

Counts

35 → 1

Calls

Call 1

Inputs
x
(.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))))
(+.f32 (.f32 x (.f32 (*.f32 x x) #s(literal 1/3 binary32))) x)
(.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 x x) #s(literal -1/3 binary32)))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(+.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))) x)
(.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/3 binary32) (.f32 (*.f32 x x) #s(literal -4/45 binary32))))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))
(+.f32 (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32))))))))) x)
(+.f32 (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 (.f32 x (*.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32)))))) x)
(.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal -4/45 binary32) (.f32 (*.f32 x x) #s(literal -44/945 binary32))))))))))
(.f32 x (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (*.f32 x x))) #s(literal 1/9 binary32))))))
(.f32 x (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))))) (-.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 (+.f32 #s(literal 1/125 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)))) (.f32 x x)) (+.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) (-.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32)))))))))
(.f32 x (/.f32 (-.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))))) #s(literal 1 binary32)) (-.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))))) #s(literal 1 binary32))))
(.f32 x (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))))))))
(/.f32 (-.f32 (.f32 x x) (.f32 (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))))) (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))))))) (-.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 x (*.f32 x #s(literal 1/7 binary32)))))))))))
(/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))))))) x) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))))) (-.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))))) #s(literal 1 binary32)))))
(.f32 x (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))))) (-.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))))) #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))))))))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x)))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/2 binary32) x))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 #s(literal 1 binary32) x)) 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) (+.f32 #s(literal 1 binary32) x)))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (+.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 #s(literal 1/2 binary32) (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 #s(literal 4 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))))))
(.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) (-.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) #s(literal 1 binary32)))) (+.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)))))))))
(.f32 #s(literal 1/2 binary32) (neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) (-.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal 8 binary32)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x))) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))) (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) 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))))))
(.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (/.f32 (.f32 #s(literal -4 binary32) (*.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) x))) (log1p.f32 (/.f32 (neg.f32 x) (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))))))
(.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (neg.f32 (.f32 #s(literal 4 binary32) (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (/.f32 x (-.f32 #s(literal 1 binary32) x)))))) (log1p.f32 (.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))))
(.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (.f32 (neg.f32 (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)))) (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))))) (log.f32 (-.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (-.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)))))))
(.f32 #s(literal 1/2 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))))))

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:

34.0ms	x
24.0ms	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
9.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
9.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))

Results

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

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes14.0ms (0.1%)

Counts

22 → 1

Calls

Call 1

Inputs
x
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (*.f32 x x) #s(literal 1/3 binary32))))
(+.f32 (.f32 x (.f32 (*.f32 x x) #s(literal 1/3 binary32))) x)
(.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 x x) #s(literal -1/3 binary32)))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(+.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))) x)
(.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/3 binary32) (.f32 (*.f32 x x) #s(literal -4/45 binary32))))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))
(+.f32 (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32))))))))) x)
(+.f32 (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 (.f32 x (*.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32)))))) x)
(.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal -4/45 binary32) (.f32 (*.f32 x x) #s(literal -44/945 binary32))))))))))
(.f32 x (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (*.f32 x x))) #s(literal 1/9 binary32))))))
(.f32 x (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))))) (-.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 (+.f32 #s(literal 1/125 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)))) (.f32 x x)) (+.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) (-.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32)))))))))
(.f32 x (/.f32 (-.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))))) #s(literal 1 binary32)) (-.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))))) #s(literal 1 binary32))))
(.f32 x (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))))))))
(/.f32 (-.f32 (.f32 x x) (.f32 (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))))) (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))))))) (-.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 x (*.f32 x #s(literal 1/7 binary32)))))))))))
(/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))))))) x) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))))) (-.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))))) #s(literal 1 binary32)))))
(.f32 x (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))))) (-.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))))) #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))))))))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x)))

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
99.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts

21 → 1

Calls

Call 1

Inputs
x
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (*.f32 x x) #s(literal 1/3 binary32))))
(+.f32 (.f32 x (.f32 (*.f32 x x) #s(literal 1/3 binary32))) x)
(.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 x x) #s(literal -1/3 binary32)))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(+.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))) x)
(.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/3 binary32) (.f32 (*.f32 x x) #s(literal -4/45 binary32))))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))
(+.f32 (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32))))))))) x)
(+.f32 (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 (.f32 x (*.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32)))))) x)
(.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal -4/45 binary32) (.f32 (*.f32 x x) #s(literal -44/945 binary32))))))))))
(.f32 x (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (*.f32 x x))) #s(literal 1/9 binary32))))))
(.f32 x (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))))) (-.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 (+.f32 #s(literal 1/125 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)))) (.f32 x x)) (+.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) (-.f32 (.f32 x (.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32)))))))))
(.f32 x (/.f32 (-.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))))) #s(literal 1 binary32)) (-.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))))) #s(literal 1 binary32))))
(.f32 x (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))))))))
(/.f32 (-.f32 (.f32 x x) (.f32 (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))))) (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))))))) (-.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 x (*.f32 x #s(literal 1/7 binary32)))))))))))
(/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))))))) x) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))))) (-.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))))) #s(literal 1 binary32)))))
(.f32 x (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))))) (-.f32 (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))))) #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))))))))))

Outputs

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
98.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts

14 → 1

Calls

Call 1

Inputs
x
(.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))))
(+.f32 (.f32 x (.f32 (*.f32 x x) #s(literal 1/3 binary32))) x)
(.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 x x) #s(literal -1/3 binary32)))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(+.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))) x)
(.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/3 binary32) (.f32 (*.f32 x x) #s(literal -4/45 binary32))))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))
(+.f32 (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32))))))))) x)
(+.f32 (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 (.f32 x (*.f32 x #s(literal 1/7 binary32))) #s(literal 1/5 binary32)))))) x)
(.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal -4/45 binary32) (.f32 (*.f32 x x) #s(literal -44/945 binary32))))))))))
(.f32 x (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (*.f32 x x))) #s(literal 1/9 binary32))))))

Outputs

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
98.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

10 → 1

Calls

Call 1

Inputs
x
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (*.f32 x x) #s(literal 1/3 binary32))))
(+.f32 (.f32 x (.f32 (*.f32 x x) #s(literal 1/3 binary32))) x)
(.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 x x) #s(literal -1/3 binary32)))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(+.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))) x)
(.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/3 binary32) (.f32 (*.f32 x x) #s(literal -4/45 binary32))))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x 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
98.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.0%	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 x (+.f32 #s(literal 1 binary32) (.f32 (*.f32 x x) #s(literal 1/3 binary32))))
(+.f32 (.f32 x (.f32 (*.f32 x x) #s(literal 1/3 binary32))) x)
(.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 x x) #s(literal -1/3 binary32)))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(+.f32 (.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))) x)

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
97.8%	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 x (+.f32 #s(literal 1 binary32) (.f32 (*.f32 x x) #s(literal 1/3 binary32))))
(+.f32 (.f32 x (.f32 (*.f32 x x) #s(literal 1/3 binary32))) x)
(.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 x x) #s(literal -1/3 binary32)))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
97.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (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 x (+.f32 #s(literal 1 binary32) (.f32 (*.f32 x x) #s(literal 1/3 binary32))))
(+.f32 (.f32 x (.f32 (*.f32 x x) #s(literal 1/3 binary32))) x)
(.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 x x) #s(literal -1/3 binary32)))))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
97.3%	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 x (+.f32 #s(literal 1 binary32) (.f32 (*.f32 x x) #s(literal 1/3 binary32))))
(+.f32 (.f32 x (.f32 (*.f32 x x) #s(literal 1/3 binary32))) x)

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
97.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
97.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
95.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify23.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

118×	`*-commutative_binary32`
82×	`+-commutative_binary32`
46×	`sub-neg_binary32`
42×	`distribute-lft-neg-in_binary32`
42×	`distribute-rgt-neg-in_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	203
1	154	203
2	181	203
3	209	203
4	240	203
5	264	203
6	281	203
7	292	203
8	306	203
9	318	203
10	324	203
11	327	203
12	328	203

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness2.4s (23.3%)

Rules

6502×	`-lowering-.f32`
6502×	`-lowering-.f64`
5710×	`+-lowering-+.f64`
5710×	`+-lowering-+.f32`
4284×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	293
1	331	240
2	3366	196
0	11173	196
0	10	28
1	50	28
2	419	28
3	6064	28
0	8334	28
0	197	2275
1	647	1915
2	1900	1846
3	5875	1843
0	8098	1843
0	106	394
1	331	345
2	992	334
3	2914	331
4	5296	331
0	8411	331
0	488	3684
1	1524	3187
2	4471	3118
0	8540	3118
0	33	200
1	223	148
2	2294	147
0	8182	147

Stop Event

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

Compiler

Compiled 679 to 361 computations (46.8% saved)

preprocess54.0ms (0.5%)

Compiler: Compiled 430 to 182 computations (57.7% 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	83	203
1	154	203
2	181	203
3	209	203
4	240	203
5	264	203
6	281	203
7	292	203
8	306	203
9	318	203
10	324	203
11	327	203
12	328	203

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	83	203
1	154	203
2	181	203
3	209	203
4	240	203
5	264	203
6	281	203
7	292	203
8	306	203
9	318	203
10	324	203
11	327	203
12	328	203

analyze2.0ms (0%)

sample434.0ms (4.3%)

preprocess31.0ms (0.3%)

explain220.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify21.0ms (0.2%)

localize94.0ms (0.9%)

series5.0ms (0%)

rewrite267.0ms (2.6%)

simplify245.0ms (2.4%)

eval15.0ms (0.1%)

prune30.0ms (0.3%)

simplify269.0ms (2.7%)

localize320.0ms (3.2%)

series12.0ms (0.1%)

rewrite390.0ms (3.9%)

simplify251.0ms (2.5%)

eval120.0ms (1.2%)

prune159.0ms (1.6%)

simplify183.0ms (1.8%)

localize405.0ms (4%)

series15.0ms (0.2%)

rewrite767.0ms (7.6%)

simplify380.0ms (3.8%)

eval150.0ms (1.5%)

prune175.0ms (1.7%)

simplify325.0ms (3.2%)

localize939.0ms (9.3%)

series31.0ms (0.3%)

rewrite444.0ms (4.4%)

simplify332.0ms (3.3%)

eval334.0ms (3.3%)

prune175.0ms (1.7%)

regimes81.0ms (0.8%)

regimes14.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

simplify23.0ms (0.2%)

soundness2.4s (23.3%)

preprocess54.0ms (0.5%)

end0.0ms (0%)

Profiling

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

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

Iter	Nodes	Cost
0	83	203
1	154	203
2	181	203
3	209	203
4	240	203
5	264	203
6	281	203
7	292	203
8	306	203
9	318	203
10	324	203
11	327	203
12	328	203