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: 0.0ms

const: 0.0ms (0% of total)

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

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

sample404.0ms (4.6%)

Results

248.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-atanh: 76.0ms (89.3% of total)

const: 7.0ms (8.2% of total)

backward-pass: 2.0ms (2.3% of total)

Bogosity

preprocess28.0ms (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)))

explain137.0ms (1.6%)

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

80.0ms	296×	1	valid
21.0ms	216×	0	valid

Compiler

Compiled 85 to 29 computations (65.9% saved)

Precisions

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

compiled-spec: 36.0ms (34.4% of total)

backward-pass: 18.0ms (17.2% of total)

ival-mult: 17.0ms (16.3% of total)

ival-log: 16.0ms (15.3% of total)

ival-div: 6.0ms (5.7% of total)

ival-add: 5.0ms (4.8% of total)

ival-sub: 5.0ms (4.8% of total)

const: 2.0ms (1.9% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify17.0ms (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)

localize61.0ms (0.7%)

Localize:

Found 4 expressions of interest:

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

Results

34.0ms	148×	1	valid
12.0ms	108×	0	valid

Compiler

Compiled 37 to 10 computations (73% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

compiled-spec: 13.0ms (30.4% of total)

ival-log: 8.0ms (18.7% of total)

ival-div: 6.0ms (14% of total)

ival-mult: 6.0ms (14% of total)

backward-pass: 4.0ms (9.4% of total)

ival-add: 2.0ms (4.7% of total)

ival-sub: 2.0ms (4.7% of total)

const: 1.0ms (2.3% of total)

series4.0ms (0%)

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite207.0ms (2.4%)

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	417	28
3	6054	28
0	8241	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 (neg.f32 (+.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 (log.f32 (+.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 4 binary32) (/.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 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) x)))))
(-.f32 (log.f32 (+.f32 (.f32 (.f32 #s(literal 4 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))) (/.f32 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 #s(literal 1/2 binary32) (/.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)))) #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 #s(literal 1/2 binary32) (/.f32 x (-.f32 #s(literal 1 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 #s(literal 1/2 binary32) (/.f32 x (-.f32 #s(literal 1 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 #s(literal 1 binary32) 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 (-.f32 #s(literal 1 binary32) x) x)) #s(literal 1 binary32))
(.f32 (.f32 x #s(literal -2 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) x)))
(.f32 (.f32 x #s(literal -2 binary32)) (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) x)) #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 #s(literal 1 binary32) x))))
(*.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 #s(literal 1 binary32) x)) (.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 #s(literal 1 binary32) x))))
(.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 #s(literal 1/2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 x (-.f32 #s(literal 1 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))) (neg.f32 (+.f32 #s(literal 1 binary32) x)))
(.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))) (neg.f32 (+.f32 #s(literal 1 binary32) x)))
(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))

simplify187.0ms (2.1%)

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	359
2	991	349
3	2893	344
4	5281	344
0	8394	344

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

eval14.0ms (0.2%)

Compiler: Compiled 2946 to 581 computations (80.3% saved)

prune36.0ms (0.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	144	11	155
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	144	12	156

Accuracy

100.0%

Counts

156 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.0%	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
	98.8%	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x #s(literal 1/5 binary32))))))))
	98.1%	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
	38.6%	(.f32 #s(literal 1/2 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)))))))))
	61.3%	(.f32 #s(literal 1/2 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)))))))
	99.0%	(.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32))))))
▶	98.1%	(.f32 #s(literal 1/2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (.f32 x (.f32 x #s(literal 2/3 binary32))))))
▶	99.7%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x)))))
	99.4%	(*.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 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 #s(literal 1 binary32) x))))
▶	96.1%	x

Compiler

Compiled 721 to 301 computations (58.3% saved)

simplify247.0ms (2.8%)

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	224	(/.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	224	(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	224	(.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 x x)
✓	cost-diff	0	(.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))
✓	cost-diff	0	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
✓	cost-diff	0	(.f32 x (.f32 x #s(literal 2/3 binary32)))
✓	cost-diff	0	(+.f32 #s(literal 2 binary32) (.f32 x (.f32 x #s(literal 2/3 binary32))))
✓	cost-diff	0	(.f32 x (+.f32 #s(literal 2 binary32) (.f32 x (*.f32 x #s(literal 2/3 binary32)))))
✓	cost-diff	64	(.f32 #s(literal 1/2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (.f32 x (.f32 x #s(literal 2/3 binary32))))))
✓	cost-diff	0	(/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x)))
✓	cost-diff	160	(.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 #s(literal 1 binary32) x))
✓	cost-diff	160	(log1p.f32 (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 #s(literal 1 binary32) x)))
✓	cost-diff	160	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 #s(literal 1 binary32) x))))

Rules

2974×	`-lowering-.f32`
2974×	`-lowering-.f64`
2122×	`fma-define`
1758×	`fma-lowering-fma.f32`
1758×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	35	294
1	110	278
2	353	263
3	1056	256
4	2627	256
5	6518	238
0	8145	238

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

localize318.0ms (3.6%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(-.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 #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 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))
✓	accuracy	99.5%	(.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))
✓	accuracy	99.5%	(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))
✓	accuracy	99.1%	(.f32 (.f32 x x) #s(literal 1/7 binary32))
✓	accuracy	100.0%	(.f32 #s(literal 1/2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (.f32 x (.f32 x #s(literal 2/3 binary32))))))
✓	accuracy	99.9%	(.f32 x (+.f32 #s(literal 2 binary32) (.f32 x (*.f32 x #s(literal 2/3 binary32)))))
✓	accuracy	99.5%	(.f32 x (.f32 x #s(literal 2/3 binary32)))
✓	accuracy	98.9%	(*.f32 x #s(literal 2/3 binary32))
✓	accuracy	100.0%	(/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x)))
✓	accuracy	99.9%	(-.f32 #s(literal 1 binary32) (*.f32 x x))
✓	accuracy	99.9%	(log1p.f32 (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 #s(literal 1 binary32) x)))
✓	accuracy	99.9%	(.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 #s(literal 1 binary32) x))

Results

158.0ms	148×	1	valid
52.0ms	108×	0	valid

Compiler

Compiled 303 to 34 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 157.0ms

ival-mult: 55.0ms (35% of total)

compiled-spec: 26.0ms (16.5% of total)

...c/correct-round.rkt:119:19: 20.0ms (12.7% of total)

ival-add: 16.0ms (10.2% of total)

ival-log: 15.0ms (9.5% of total)

backward-pass: 12.0ms (7.6% of total)

ival-div: 9.0ms (5.7% of total)

ival-sub: 2.0ms (1.3% of total)

const: 1.0ms (0.6% of total)

series14.0ms (0.2%)

Counts

21 → 252

Calls

Call 1

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

63 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(* 1/2 (* x (+ 2 (* x (* x 2/3)))))
1.0ms	x	@	inf	(* 1/2 (* x (+ 2 (* x (* x 2/3)))))
1.0ms	x	@	inf	(* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))))
0.0ms	x	@	0	(* 1/2 (log (+ 1 (* (/ (* 2 x) (- 1 (* x x))) (+ 1 x)))))
0.0ms	x	@	inf	(* 1/2 (log (+ 1 (* (/ (* 2 x) (- 1 (* x x))) (+ 1 x)))))

rewrite400.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3608×	`-lowering-.f32`
3608×	`-lowering-.f64`
3572×	`/-lowering-/.f32`
3572×	`/-lowering-/.f64`
2150×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	224
1	225	210
2	2172	171
0	8995	171

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 958

Calls

Call 1

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

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

simplify328.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

3180×	`-lowering-.f32`
3180×	`-lowering-.f64`
1972×	`fma-lowering-fma.f32`
1972×	`fma-lowering-fma.f64`
1966×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	218	2142
1	718	1956
2	2164	1903
3	6548	1901
0	8249	1901

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

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

eval143.0ms (1.6%)

Compiler: Compiled 34502 to 3402 computations (90.1% saved)

prune183.0ms (2.1%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	1378	6	1384
Fresh	1	5	6
Picked	3	2	5
Done	0	1	1
Total	1382	14	1396

Accuracy

100.0%

Counts

1396 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.1%	(/.f32 (-.f32 (.f32 x x) (.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 x (.f32 x x))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 x (.f32 x x))))) (-.f32 x (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 x (*.f32 x x)))))
▶	99.1%	(+.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 x (*.f32 x x))) x)
▶	99.0%	(.f32 x (+.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
▶	56.8%	(.f32 x (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (/.f32 (.f32 (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))))))
	99.0%	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) x)))
▶	98.8%	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x #s(literal 1/5 binary32))))))))
▶	98.1%	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
	38.6%	(.f32 #s(literal 1/2 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)))))))))
	61.3%	(.f32 #s(literal 1/2 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)))))))
	99.0%	(.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32))))))
	98.2%	(.f32 #s(literal 1/2 binary32) (+.f32 (.f32 x (.f32 x (.f32 x #s(literal 2/3 binary32)))) (*.f32 #s(literal 2 binary32) x)))
✓	98.1%	(.f32 #s(literal 1/2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (.f32 x (.f32 x #s(literal 2/3 binary32))))))
✓	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
✓	96.1%	x

Compiler

Compiled 1049 to 381 computations (63.7% saved)

simplify222.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	448	(/.f32 (.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
✓	cost-diff	1408	(-.f32 (/.f32 (.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (/.f32 (.f32 (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))))
✓	cost-diff	1408	(+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (/.f32 (.f32 (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))))))
✓	cost-diff	1408	(.f32 x (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (/.f32 (.f32 (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))))))
✓	cost-diff	0	(.f32 x (.f32 x #s(literal 1/3 binary32)))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32))))
✓	cost-diff	128	(+.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))
✓	cost-diff	128	(.f32 x (+.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
✓	cost-diff	0	(.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x #s(literal 1/5 binary32)))))
✓	cost-diff	0	(.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x #s(literal 1/5 binary32))))))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x #s(literal 1/5 binary32)))))))
✓	cost-diff	0	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x #s(literal 1/5 binary32))))))))
✓	cost-diff	0	(*.f32 x x)
✓	cost-diff	0	(.f32 #s(literal 1/3 binary32) (.f32 x x))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (.f32 x x)))
✓	cost-diff	0	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
✓	cost-diff	0	(.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))
✓	cost-diff	0	(+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))
✓	cost-diff	0	(.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 x (*.f32 x x)))
✓	cost-diff	0	(+.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 x (*.f32 x x))) x)

Rules

4244×	`-lowering-.f32`
4244×	`-lowering-.f64`
1436×	`/-lowering-/.f32`
1436×	`/-lowering-/.f64`
1306×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	781
1	145	659
2	554	593
3	3399	527
4	7598	527
0	8218	527

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize303.0ms (3.5%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.1%	(.f32 (.f32 x x) #s(literal 1/7 binary32))
✓	accuracy	98.9%	(*.f32 x #s(literal 1/3 binary32))
✓	accuracy	56.6%	(/.f32 (.f32 (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
✓	accuracy	37.1%	(/.f32 (.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
✓	accuracy	99.5%	(.f32 x (.f32 x #s(literal 1/3 binary32)))
✓	accuracy	99.5%	(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))
✓	accuracy	99.1%	(.f32 (.f32 x x) #s(literal 1/7 binary32))
✓	accuracy	98.9%	(*.f32 x #s(literal 1/3 binary32))
✓	accuracy	99.7%	(.f32 x (.f32 x #s(literal 1/5 binary32)))
✓	accuracy	99.6%	(.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x #s(literal 1/5 binary32))))))
✓	accuracy	99.5%	(*.f32 x #s(literal 1/5 binary32))
✓	accuracy	98.9%	(.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x #s(literal 1/5 binary32)))))
✓	accuracy	100.0%	(+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (.f32 x x)))
✓	accuracy	100.0%	(*.f32 x x)
✓	accuracy	99.9%	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
✓	accuracy	99.4%	(.f32 #s(literal 1/3 binary32) (.f32 x x))
✓	accuracy	99.8%	(.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))
✓	accuracy	99.6%	(.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 x (*.f32 x x)))
✓	accuracy	99.5%	(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))
✓	accuracy	99.1%	(.f32 (.f32 x x) #s(literal 1/7 binary32))

Results

136.0ms

256×

valid

Compiler

Compiled 816 to 40 computations (95.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-mult: 48.0ms (63.2% of total)

ival-add: 11.0ms (14.5% of total)

...c/correct-round.rkt:119:19: 11.0ms (14.5% of total)

ival-div: 3.0ms (4% of total)

ival-sub: 2.0ms (2.6% of total)

const: 0.0ms (0% of total)

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

series15.0ms (0.2%)

Counts

26 → 312

Calls

Call 1

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

Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* (pow x 3) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/5 (pow x 2)))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))>
#<alt (+ 1/3 (* (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 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 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 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/5 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* 1/5 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/5 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))>
#<alt 1>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* 1/5 (pow x 3))>
#<alt (* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/5 (pow x 3))>
#<alt (* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 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>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))>
#<alt 1>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 46/175 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 46/175 (* 213/875 (pow x 2))))))))>
#<alt (/ -7/9 (pow x 2))>
#<alt (/ (- (* 49/45 (/ 1 (pow x 2))) 7/9) (pow x 2))>
#<alt (/ (- (* 49/45 (/ 1 (pow x 2))) (+ 7/9 (/ 2254/675 (pow x 4)))) (pow x 2))>
#<alt (/ (- (+ (* 49/45 (/ 1 (pow x 2))) (* 24353/3375 (/ 1 (pow x 6)))) (+ 7/9 (/ 2254/675 (pow x 4)))) (pow x 2))>
#<alt (/ -7/9 (pow x 2))>
#<alt (/ (- (* 49/45 (/ 1 (pow x 2))) 7/9) (pow x 2))>
#<alt (/ (- (* 49/45 (/ 1 (pow x 2))) (+ 7/9 (/ 2254/675 (pow x 4)))) (pow x 2))>
#<alt (/ (- (+ (* 49/45 (/ 1 (pow x 2))) (* 24353/3375 (/ 1 (pow x 6)))) (+ 7/9 (/ 2254/675 (pow x 4)))) (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/5 x)>
#<alt (* x (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* x (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* x (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* 1/7 (pow x 3))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/7 (pow x 3))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 3/25 (pow x 6))>
#<alt (* (pow x 6) (+ 3/25 (* 213/875 (pow x 2))))>
#<alt (* (pow x 6) (+ 3/25 (* (pow x 2) (+ 213/875 (* 7923/30625 (pow x 2))))))>
#<alt (* (pow x 6) (+ 3/25 (* (pow x 2) (+ 213/875 (* (pow x 2) (+ 7923/30625 (* 39744/153125 (pow x 2))))))))>
#<alt (* -1/7 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/3 (* 7/9 (/ 1 (pow x 4)))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* -1/7 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/3 (* 7/9 (/ 1 (pow x 4)))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))>

Calls

78 calls:

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

rewrite488.0ms (5.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3694×	`-lowering-.f32`
3694×	`-lowering-.f64`
2966×	`/-lowering-/.f32`
2966×	`/-lowering-/.f64`
2224×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	357
1	296	283
2	3113	279
0	9203	279

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 791

Calls

Call 1

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

Outputs
(+.f32 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 x (*.f32 x x))))
(+.f32 (.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 x (*.f32 x x))) x)
(+.f32 (.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (.f32 x x)))) (.f32 x (.f32 x (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))))
(+.f32 (.f32 x (.f32 x (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))) (.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (.f32 x x)))))
(pow.f32 (/.f32 (+.f32 (.f32 (.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 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 x (.f32 x x)))) (.f32 x (-.f32 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 x (.f32 x x)))))) (+.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 (.f32 x 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 x 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 #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))
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(fma.f32 x (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
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(fma.f32 (.f32 x x) (.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 #s(literal 1/3 binary32) (*.f32 x x))))
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(fma.f32 (.f32 (.f32 x 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 #s(literal 1/3 binary32) (*.f32 x x))))
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(fma.f32 x (.f32 #s(literal 1/3 binary32) x) (.f32 x (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32))))))))
(fma.f32 x (.f32 (.f32 #s(literal 1/3 binary32) x) (/.f32 (.f32 #s(literal 1/3 binary32) (.f32 x x)) (.f32 (.f32 x 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 x x) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (neg.f32 (.f32 (.f32 x 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)))))))))))
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(fma.f32 x (/.f32 (.f32 x (.f32 (.f32 x x) #s(literal 1/9 binary32))) (.f32 (.f32 x 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 x x) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (neg.f32 (.f32 (.f32 x 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)))))))))))
(fma.f32 (.f32 x x) #s(literal 1/3 binary32) (.f32 x (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32))))))))
(fma.f32 (.f32 x x) (.f32 #s(literal 1/3 binary32) (/.f32 (.f32 #s(literal 1/3 binary32) (.f32 x x)) (.f32 (.f32 x 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 x x) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (neg.f32 (.f32 (.f32 x 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)))))))))))
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(fma.f32 (.f32 x x) (/.f32 (.f32 (.f32 x x) #s(literal 1/9 binary32)) (.f32 (.f32 x 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 x x) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (neg.f32 (.f32 (.f32 x 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)))))))))))
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(fma.f32 (.f32 #s(literal 1/3 binary32) x) x (.f32 x (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32))))))))
(fma.f32 (.f32 #s(literal 1/3 binary32) x) (.f32 x (/.f32 (.f32 #s(literal 1/3 binary32) (.f32 x x)) (.f32 (.f32 x 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 x x) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (neg.f32 (.f32 (.f32 x 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)))))))))))
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(fma.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/9 binary32))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (-.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))))) (/.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (neg.f32 (.f32 (.f32 x 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)))))))))))
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(fma.f32 (/.f32 (.f32 #s(literal 1/3 binary32) (.f32 x x)) (.f32 (.f32 x 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 1/3 binary32) (.f32 x x)) (/.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (neg.f32 (.f32 (.f32 x 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)))))))))))
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(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (.f32 (.f32 x 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 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32))))))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (.f32 (.f32 x 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 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32)))))))) #s(literal 1 binary32))))
(/.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) #s(literal 1 binary32)) (.f32 (.f32 x x) (-.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))))
(/.f32 (neg.f32 (.f32 (neg.f32 (.f32 x x)) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))) (neg.f32 (neg.f32 (.f32 (.f32 x 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 (.f32 x x) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) 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 (neg.f32 (neg.f32 (.f32 (neg.f32 (.f32 x x)) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))))) (neg.f32 (neg.f32 (neg.f32 (.f32 (.f32 x 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 (neg.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) #s(literal 1 binary32))) (neg.f32 (.f32 (.f32 x 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 (neg.f32 (/.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) x)) (neg.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 (.f32 (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))) (/.f32 (.f32 x (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (.f32 (.f32 x 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 (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (-.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))))))
(.f32 x (/.f32 (.f32 x (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (.f32 (.f32 x 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 (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))) (/.f32 (.f32 x (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (.f32 (.f32 x 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 (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (-.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))))))
(.f32 (.f32 x x) (/.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))) (.f32 (.f32 x 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 (.f32 x x) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (.f32 (.f32 x 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 x x) (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))) (.f32 x (/.f32 (.f32 x (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (.f32 (.f32 x 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 (.f32 x x) (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (/.f32 (.f32 x (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (.f32 (.f32 x 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 x x) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (-.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))))))
(.f32 (.f32 (neg.f32 (.f32 x x)) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (/.f32 #s(literal 1 binary32) (neg.f32 (.f32 (.f32 x 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 #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 x (.f32 x #s(literal 1/7 binary32))))))))) (.f32 (.f32 x x) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))))
(.f32 (/.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 x (.f32 x #s(literal 1/7 binary32))))))))) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (+.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 (.f32 x x) (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))) (.f32 (.f32 (.f32 x 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 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 (.f32 x x) (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))) (/.f32 (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))) (.f32 (.f32 x 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 x (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (.f32 (.f32 x 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 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32))))))))
(.f32 (/.f32 x x) (/.f32 (.f32 x (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (.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 x x) x) (/.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))) (.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 x (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) x) (/.f32 (.f32 x (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (.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 x (.f32 x (.f32 (.f32 x 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 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))) (.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 #s(literal 1 binary32) x) (pow.f32 (/.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 (.f32 x x) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32)))))))) #s(literal -1 binary32)))
(.f32 (/.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (.f32 (.f32 (.f32 x 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 #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 #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 (.f32 x x) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (.f32 (+.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/9 binary32))) (.f32 (.f32 x (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (.f32 (.f32 x 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 #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 x x) #s(literal 1/9 binary32))) (.f32 (.f32 x (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (.f32 (.f32 x 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 (pow.f32 (/.f32 x x) #s(literal -1 binary32)) (pow.f32 (/.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 (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))) #s(literal -1 binary32)))
(.f32 (pow.f32 (/.f32 x (.f32 x x)) #s(literal -1 binary32)) (pow.f32 (/.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 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) (.f32 (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) #s(literal -1 binary32)))
(.f32 (pow.f32 (/.f32 x (.f32 x (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))) #s(literal -1 binary32)) (pow.f32 (/.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 (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))))) #s(literal -1 binary32)))
(.f32 (pow.f32 (/.f32 x (.f32 x (.f32 x (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))))) #s(literal -1 binary32)) (pow.f32 (/.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 (.f32 x x) (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) #s(literal -1 binary32)))

simplify308.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

3102×	`-lowering-.f32`
3102×	`-lowering-.f64`
2394×	`+-lowering-+.f64`
2394×	`+-lowering-+.f32`
2024×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	153	2822
1	530	2637
2	1683	2583
3	5519	2560
0	8569	2560

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))))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 3) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* (pow x 3) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
1/3
(+ 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))))))
(* 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)))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* 1/3 (pow x 2)))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* 1/3 x)
(* x (+ 1/3 (* 1/5 (pow x 2))))
(* x (+ 1/3 (* 1/5 (pow x 2))))
(* x (+ 1/3 (* 1/5 (pow x 2))))
(* 1/5 (pow x 3))
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* 1/5 (pow x 3))
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 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
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* 1/3 (pow x 2)))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 46/175 (pow x 2))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 46/175 (* 213/875 (pow x 2))))))))
(/ -7/9 (pow x 2))
(/ (- (* 49/45 (/ 1 (pow x 2))) 7/9) (pow x 2))
(/ (- (* 49/45 (/ 1 (pow x 2))) (+ 7/9 (/ 2254/675 (pow x 4)))) (pow x 2))
(/ (- (+ (* 49/45 (/ 1 (pow x 2))) (* 24353/3375 (/ 1 (pow x 6)))) (+ 7/9 (/ 2254/675 (pow x 4)))) (pow x 2))
(/ -7/9 (pow x 2))
(/ (- (* 49/45 (/ 1 (pow x 2))) 7/9) (pow x 2))
(/ (- (* 49/45 (/ 1 (pow x 2))) (+ 7/9 (/ 2254/675 (pow x 4)))) (pow x 2))
(/ (- (+ (* 49/45 (/ 1 (pow x 2))) (* 24353/3375 (/ 1 (pow x 6)))) (+ 7/9 (/ 2254/675 (pow x 4)))) (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/5 x)
(* x (+ 1/5 (* 1/7 (pow x 2))))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(* 1/7 (pow x 3))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/7 (pow x 3))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 3/25 (pow x 6))
(* (pow x 6) (+ 3/25 (* 213/875 (pow x 2))))
(* (pow x 6) (+ 3/25 (* (pow x 2) (+ 213/875 (* 7923/30625 (pow x 2))))))
(* (pow x 6) (+ 3/25 (* (pow x 2) (+ 213/875 (* (pow x 2) (+ 7923/30625 (* 39744/153125 (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 (/ (+ 1/3 (* 7/9 (/ 1 (pow x 4)))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))
(* -1/7 (pow x 6))
(* -1 (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))
(* (pow x 6) (- (* -1 (/ (+ 1/3 (* 7/9 (/ 1 (pow x 4)))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))

Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32)))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
(* 1/7 (pow x 7))
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 7 binary32)))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 x (*.f32 x x)) x)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 (.f32 x (.f32 x x)) x))) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 x (.f32 x x)) x))))))
(* 1/7 (pow x 7))
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 7 binary32)))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (*.f32 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 (.f32 x (.f32 x x)) x))))
(* 1/3 (pow x 3))
(.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x x)))
(* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))
(.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(* (pow x 3) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))
(* (pow x 3) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(.f32 x (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))
(* 1/7 (pow x 7))
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 7 binary32)))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 x (*.f32 x x)) x)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 x (*.f32 x x)) x)))))
(* 1/7 (pow x 7))
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 7 binary32)))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (*.f32 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (*.f32 x x))))
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 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(+.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 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(+.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 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 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (.f32 (.f32 x (.f32 x x)) x) (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 x (.f32 x x)) x)))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (.f32 (.f32 x (.f32 x x)) x) (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 x (.f32 x 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)))))
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(.f32 (.f32 (.f32 x x) (.f32 (.f32 x (.f32 x x)) x)) (-.f32 #s(literal -1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))))
(* (pow x 6) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7))
(.f32 (.f32 (.f32 x x) (.f32 (.f32 x (.f32 x x)) x)) (+.f32 (/.f32 (-.f32 #s(literal -1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (.f32 x x)) #s(literal -1/7 binary32)))
(* (pow x 6) (- (* -1 (/ (+ 1/3 (* 7/9 (/ 1 (pow x 4)))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2))))))
(.f32 (.f32 (.f32 x x) (.f32 (.f32 x (.f32 x x)) x)) (+.f32 #s(literal -1/7 binary32) (+.f32 (/.f32 #s(literal -1/5 binary32) (.f32 x x)) (/.f32 (+.f32 #s(literal -1/3 binary32) (/.f32 #s(literal -7/9 binary32) (.f32 (.f32 x (.f32 x x)) x))) (.f32 (.f32 x (*.f32 x x)) x)))))

eval277.0ms (3.2%)

Compiler: Compiled 119966 to 3815 computations (96.8% saved)

prune165.0ms (1.9%)

Pruning

21 alts after pruning (16 fresh and 5 done)

	Pruned	Kept	Total
New	1744	11	1755
Fresh	1	5	6
Picked	2	3	5
Done	1	2	3
Total	1748	21	1769

Accuracy

100.0%

Counts

1769 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.8%	(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.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 x (.f32 x x))) x) (.f32 (.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 x (.f32 x #s(literal 1/7 binary32)))))))))) (-.f32 (.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 x (.f32 x x))) x))))
	98.9%	(+.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32))) (.f32 x (*.f32 x x))) x)
✓	99.1%	(+.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 x (*.f32 x x))) x)
	98.2%	(+.f32 (.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x x))) x)
▶	99.0%	(.f32 x (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/27 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 1/3 binary32) (.f32 x x)) (-.f32 (.f32 #s(literal 1/3 binary32) (.f32 x x)) #s(literal 1 binary32))))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))))
✓	99.0%	(.f32 x (+.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
	56.8%	(.f32 x (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (-.f32 (.f32 (.f32 x x) #s(literal 1/3 binary32)) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (/.f32 (.f32 (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))))))
▶	56.9%	(.f32 x (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (/.f32 (.f32 (.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/5 binary32)))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))))))
	56.8%	(.f32 x (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (/.f32 (.f32 (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (/.f32 (.f32 (-.f32 #s(literal 1/25 binary32) (.f32 (.f32 (.f32 x 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)))))))))))))
	56.8%	(.f32 x (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (.f32 (/.f32 (.f32 x (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) x) (/.f32 (.f32 x (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (.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)))))))))))))
	56.8%	(.f32 x (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x (.f32 x x)) x)) (+.f32 (.f32 (.f32 x x) #s(literal 213/875 binary32)) #s(literal 3/25 binary32))))))
	56.8%	(.f32 x (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x (.f32 x x)) x)) (+.f32 #s(literal 3/25 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 213/875 binary32) (.f32 x (.f32 x #s(literal 7923/30625 binary32))))))))))
▶	99.0%	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) x)))
▶	98.1%	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (*.f32 #s(literal 1/3 binary32) x) x)))
✓	98.8%	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x #s(literal 1/5 binary32))))))))
	38.6%	(.f32 #s(literal 1/2 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)))))))))
	61.3%	(.f32 #s(literal 1/2 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)))))))
▶	99.0%	(.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32))))))
	98.2%	(.f32 #s(literal 1/2 binary32) (+.f32 (.f32 x (.f32 x (.f32 x #s(literal 2/3 binary32)))) (*.f32 #s(literal 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))))
✓	96.1%	x

Compiler

Compiled 1929 to 729 computations (62.2% saved)

simplify282.0ms (3.2%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))
✓	cost-diff	0	(log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32)))))
✓	cost-diff	0	(-.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32)))))
✓	cost-diff	0	(.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32))))))
✓	cost-diff	448	(/.f32 (.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
✓	cost-diff	896	(-.f32 (/.f32 (.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (/.f32 (.f32 (.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/5 binary32)))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))))
✓	cost-diff	896	(+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (/.f32 (.f32 (.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/5 binary32)))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))))))
✓	cost-diff	896	(.f32 x (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (/.f32 (.f32 (.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/5 binary32)))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))))))
✓	cost-diff	0	(.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))
✓	cost-diff	0	(.f32 (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) x)
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) x))
✓	cost-diff	0	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) x)))
✓	cost-diff	0	(*.f32 #s(literal 1/3 binary32) x)
✓	cost-diff	0	(.f32 (.f32 #s(literal 1/3 binary32) x) x)
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 1/3 binary32) x) x))
✓	cost-diff	0	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (*.f32 #s(literal 1/3 binary32) x) x)))
✓	cost-diff	64	(+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 1/3 binary32) (.f32 x x)) (-.f32 (.f32 #s(literal 1/3 binary32) (*.f32 x x)) #s(literal 1 binary32))))
✓	cost-diff	64	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/27 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 1/3 binary32) (.f32 x x)) (-.f32 (.f32 #s(literal 1/3 binary32) (*.f32 x x)) #s(literal 1 binary32)))))
✓	cost-diff	64	(+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/27 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 1/3 binary32) (.f32 x x)) (-.f32 (.f32 #s(literal 1/3 binary32) (.f32 x x)) #s(literal 1 binary32))))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))
✓	cost-diff	64	(.f32 x (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/27 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 1/3 binary32) (.f32 x x)) (-.f32 (.f32 #s(literal 1/3 binary32) (.f32 x x)) #s(literal 1 binary32))))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))))

Rules

5878×	`-lowering-.f32`
5878×	`-lowering-.f64`
1550×	`+-lowering-+.f64`
1550×	`+-lowering-+.f32`
1200×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	63	969
1	213	836
2	695	747
3	3855	735
0	8696	735

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x (+ (/ (+ 1 (* (* x (* x x)) (* (* x (* x x)) 1/27))) (+ 1 (* (* 1/3 (* x x)) (- (* 1/3 (* x x)) 1)))) (* x (* x (* x (* x (+ 1/5 (* (* x x) 1/7))))))))
x
(+ (/ (+ 1 (* (* x (* x x)) (* (* x (* x x)) 1/27))) (+ 1 (* (* 1/3 (* x x)) (- (* 1/3 (* x x)) 1)))) (* x (* x (* x (* x (+ 1/5 (* (* x x) 1/7)))))))
(/ (+ 1 (* (* x (* x x)) (* (* x (* x x)) 1/27))) (+ 1 (* (* 1/3 (* x x)) (- (* 1/3 (* x x)) 1))))
(+ 1 (* (* x (* x x)) (* (* x (* x x)) 1/27)))
1
(* (* x (* x x)) (* (* x (* x x)) 1/27))
(* x (* x x))
(* x x)
(* (* x (* x x)) 1/27)
1/27
(+ 1 (* (* 1/3 (* x x)) (- (* 1/3 (* x x)) 1)))
(* (* 1/3 (* x x)) (- (* 1/3 (* x x)) 1))
(* 1/3 (* x x))
1/3
(- (* 1/3 (* x x)) 1)
(* x (* x (* x (* x (+ 1/5 (* (* x x) 1/7))))))
(* x (* x (* x (+ 1/5 (* (* x x) 1/7)))))
(* x (* x (+ 1/5 (* (* x x) 1/7))))
(* x (+ 1/5 (* (* x x) 1/7)))
(+ 1/5 (* (* x x) 1/7))
1/5
(* (* x x) 1/7)
1/7
(* x (+ 1 (* (* 1/3 x) x)))
x
(+ 1 (* (* 1/3 x) x))
1
(* (* 1/3 x) x)
(* 1/3 x)
1/3
(* x (+ 1 (* (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))) x)))
x
(+ 1 (* (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))) x))
1
(* (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))) x)
(* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))
(+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))
1/3
(* x (* x (+ 1/5 (* (* x x) 1/7))))
(* x (+ 1/5 (* (* x x) 1/7)))
(+ 1/5 (* (* x x) 1/7))
1/5
(* (* x x) 1/7)
(* x x)
1/7
(* x (+ 1 (- (/ (* (* x (* x 1/3)) (* x (* x 1/3))) (- (* x (* x 1/3)) (* x (* x (* x (* x (+ 1/5 (* (* x x) 1/7)))))))) (/ (* (* x (* x (* (* x x) 1/5))) (* x (* x (* x (* x (+ 1/5 (* (* x x) 1/7))))))) (- (* x (* x 1/3)) (* x (* x (* x (* x (+ 1/5 (* (* x x) 1/7)))))))))))
x
(+ 1 (- (/ (* (* x (* x 1/3)) (* x (* x 1/3))) (- (* x (* x 1/3)) (* x (* x (* x (* x (+ 1/5 (* (* x x) 1/7)))))))) (/ (* (* x (* x (* (* x x) 1/5))) (* x (* x (* x (* x (+ 1/5 (* (* x x) 1/7))))))) (- (* x (* x 1/3)) (* x (* x (* x (* x (+ 1/5 (* (* x x) 1/7))))))))))
1
(- (/ (* (* x (* x 1/3)) (* x (* x 1/3))) (- (* x (* x 1/3)) (* x (* x (* x (* x (+ 1/5 (* (* x x) 1/7)))))))) (/ (* (* x (* x (* (* x x) 1/5))) (* x (* x (* x (* x (+ 1/5 (* (* x x) 1/7))))))) (- (* x (* x 1/3)) (* x (* x (* x (* x (+ 1/5 (* (* x x) 1/7)))))))))
(/ (* (* x (* x 1/3)) (* x (* x 1/3))) (- (* x (* x 1/3)) (* x (* x (* x (* x (+ 1/5 (* (* x x) 1/7))))))))
(* (* x (* x 1/3)) (* x (* x 1/3)))
(* x (* x 1/3))
(* x 1/3)
1/3
(- (* x (* x 1/3)) (* x (* x (* x (* x (+ 1/5 (* (* x x) 1/7)))))))
(* x (* x (* x (* x (+ 1/5 (* (* x x) 1/7))))))
(* x (* x (* x (+ 1/5 (* (* x x) 1/7)))))
(* x (* x (+ 1/5 (* (* x x) 1/7))))
(* x (+ 1/5 (* (* x x) 1/7)))
(+ 1/5 (* (* x x) 1/7))
1/5
(* (* x x) 1/7)
(* x x)
1/7
(/ (* (* x (* x (* (* x x) 1/5))) (* x (* x (* x (* x (+ 1/5 (* (* x x) 1/7))))))) (- (* x (* x 1/3)) (* x (* x (* x (* x (+ 1/5 (* (* x x) 1/7))))))))
(* (* x (* x (* (* x x) 1/5))) (* x (* x (* x (* x (+ 1/5 (* (* x x) 1/7)))))))
(* x (* x (* (* x x) 1/5)))
(* x (* (* x x) 1/5))
(* (* x x) 1/5)
(* 1/2 (- (log (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1))))) (log (+ 1 (/ (* 2 x) (+ x -1))))))
1/2
(- (log (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1))))) (log (+ 1 (/ (* 2 x) (+ x -1)))))
(log (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1)))))
(/ (* (* x x) 4) (* (- 1 x) (+ x -1)))
(* (* x x) 4)
(* x x)
x
4
(* (- 1 x) (+ x -1))
(- 1 x)
1
(+ x -1)
-1
(log (+ 1 (/ (* 2 x) (+ x -1))))
(/ (* 2 x) (+ x -1))
(* 2 x)
2

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

localize679.0ms (7.7%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32)))
✓	accuracy	99.8%	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32))))
✓	accuracy	99.8%	(*.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32)))
✓	accuracy	99.7%	(/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))
✓	accuracy	99.3%	(.f32 (.f32 x x) #s(literal 1/7 binary32))
✓	accuracy	99.1%	(*.f32 x #s(literal 1/3 binary32))
✓	accuracy	56.6%	(/.f32 (.f32 (.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/5 binary32)))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
✓	accuracy	45.4%	(/.f32 (.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
✓	accuracy	99.6%	(.f32 (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) x)
✓	accuracy	99.6%	(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))
✓	accuracy	99.3%	(.f32 (.f32 x x) #s(literal 1/7 binary32))
✓	accuracy	99.1%	(.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))
✓	accuracy	100.0%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 1/3 binary32) x) x))
✓	accuracy	99.9%	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (*.f32 #s(literal 1/3 binary32) x) x)))
✓	accuracy	99.6%	(.f32 (.f32 #s(literal 1/3 binary32) x) x)
✓	accuracy	99.1%	(*.f32 #s(literal 1/3 binary32) x)
✓	accuracy	99.7%	(.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))
✓	accuracy	99.6%	(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))
✓	accuracy	99.5%	(.f32 #s(literal 1/3 binary32) (.f32 x x))
✓	accuracy	99.3%	(.f32 (.f32 x x) #s(literal 1/7 binary32))

Results

304.0ms	165×	1	valid
116.0ms	38×	5	exit
40.0ms	50×	0	valid
3.0ms	1×	3	valid
1.0ms	2×	0	invalid

Compiler

Compiled 1033 to 62 computations (94% saved)

Precisions

Click to see histograms. Total time spent on operations: 328.0ms

ival-mult: 113.0ms (34.5% of total)

backward-pass: 73.0ms (22.3% of total)

compiled-spec: 33.0ms (10.1% of total)

...c/correct-round.rkt:119:19: 31.0ms (9.5% of total)

ival-add: 25.0ms (7.6% of total)

ival-log: 22.0ms (6.7% of total)

ival-div: 16.0ms (4.9% of total)

ival-sub: 13.0ms (4% of total)

const: 2.0ms (0.6% of total)

series22.0ms (0.3%)

Counts

29 → 348

Calls

Call 1

Inputs
#<alt (* x (+ (/ (+ 1 (* (* x (* x x)) (* (* x (* x x)) 1/27))) (+ 1 (* (* 1/3 (* x x)) (- (* 1/3 (* x x)) 1)))) (* x (* x (* x (* x (+ 1/5 (* (* x x) 1/7))))))))>
#<alt (+ (/ (+ 1 (* (* x (* x x)) (* (* x (* x x)) 1/27))) (+ 1 (* (* 1/3 (* x x)) (- (* 1/3 (* x x)) 1)))) (* x (* x (* x (* x (+ 1/5 (* (* x x) 1/7)))))))>
#<alt (/ (+ 1 (* (* x (* x x)) (* (* x (* x x)) 1/27))) (+ 1 (* (* 1/3 (* x x)) (- (* 1/3 (* x x)) 1))))>
#<alt (+ 1 (* (* 1/3 (* x x)) (- (* 1/3 (* x x)) 1)))>
#<alt (* x (+ 1 (* (* 1/3 x) x)))>
#<alt (+ 1 (* (* 1/3 x) x))>
#<alt (* (* 1/3 x) x)>
#<alt (* 1/3 x)>
#<alt (* x (+ 1 (* (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))) x)))>
#<alt (+ 1 (* (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))) x))>
#<alt (* (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))) x)>
#<alt (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))>
#<alt (* x (+ 1 (- (/ (* (* x (* x 1/3)) (* x (* x 1/3))) (- (* x (* x 1/3)) (* x (* x (* x (* x (+ 1/5 (* (* x x) 1/7)))))))) (/ (* (* x (* x (* (* x x) 1/5))) (* x (* x (* x (* x (+ 1/5 (* (* x x) 1/7))))))) (- (* x (* x 1/3)) (* x (* x (* x (* x (+ 1/5 (* (* x x) 1/7)))))))))))>
#<alt (+ 1 (- (/ (* (* x (* x 1/3)) (* x (* x 1/3))) (- (* x (* x 1/3)) (* x (* x (* x (* x (+ 1/5 (* (* x x) 1/7)))))))) (/ (* (* x (* x (* (* x x) 1/5))) (* x (* x (* x (* x (+ 1/5 (* (* x x) 1/7))))))) (- (* x (* x 1/3)) (* x (* x (* x (* x (+ 1/5 (* (* x x) 1/7))))))))))>
#<alt (- (/ (* (* x (* x 1/3)) (* x (* x 1/3))) (- (* x (* x 1/3)) (* x (* x (* x (* x (+ 1/5 (* (* x x) 1/7)))))))) (/ (* (* x (* x (* (* x x) 1/5))) (* x (* x (* x (* x (+ 1/5 (* (* x x) 1/7))))))) (- (* x (* x 1/3)) (* x (* x (* x (* x (+ 1/5 (* (* x x) 1/7)))))))))>
#<alt (/ (* (* x (* x 1/3)) (* x (* x 1/3))) (- (* x (* x 1/3)) (* x (* x (* x (* x (+ 1/5 (* (* x x) 1/7))))))))>
#<alt (* 1/2 (- (log (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1))))) (log (+ 1 (/ (* 2 x) (+ x -1))))))>
#<alt (- (log (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1))))) (log (+ 1 (/ (* 2 x) (+ x -1)))))>
#<alt (log (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1)))))>
#<alt (/ (* (* x x) 4) (* (- 1 x) (+ x -1)))>
#<alt (* (* x x) 1/7)>
#<alt (* 1/3 (* x x))>
#<alt (* x (+ 1/5 (* (* x x) 1/7)))>
#<alt (* x (* x (* x (* x (+ 1/5 (* (* x x) 1/7))))))>
#<alt (/ (* (* x (* x (* (* x x) 1/5))) (* x (* x (* x (* x (+ 1/5 (* (* x x) 1/7))))))) (- (* x (* x 1/3)) (* x (* x (* x (* x (+ 1/5 (* (* x x) 1/7))))))))>
#<alt (* x 1/3)>
#<alt (* (- 1 x) (+ x -1))>
#<alt (log (+ 1 (/ (* 2 x) (+ x -1))))>
#<alt (/ (* 2 x) (+ x -1))>

Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))>
#<alt 1>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt 1>
#<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>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/9 (pow x 2)) 1/3)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/9 (pow x 2)) 1/3)))>
#<alt (* 1/9 (pow x 4))>
#<alt (* (pow x 4) (- 1/9 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/9 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/9 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/9 (pow x 4))>
#<alt (* (pow x 4) (- 1/9 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/9 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/9 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))>
#<alt 1>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* 1/7 (pow x 5))>
#<alt (* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/7 (pow x 5))>
#<alt (* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/5 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5 (* 22/15 (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (- (+ 1/5 (* 22/15 (/ 1 (pow x 4)))) (/ 322/225 (pow x 6))))>
#<alt (* (pow x 5) (- (+ 1/5 (+ (* 22/15 (/ 1 (pow x 4))) (* 3479/1125 (/ 1 (pow x 8))))) (/ 322/225 (pow x 6))))>
#<alt (* 1/5 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5 (* 22/15 (/ 1 (pow x 4)))))>
#<alt (* -1 (* (pow x 5) (- (/ 322/225 (pow x 6)) (+ 1/5 (* 22/15 (/ 1 (pow x 4)))))))>
#<alt (* -1 (* (pow x 5) (- (/ 322/225 (pow x 6)) (+ 1/5 (+ (* 22/15 (/ 1 (pow x 4))) (* 3479/1125 (/ 1 (pow x 8))))))))>
#<alt 1>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 22/15 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- (+ 1/5 (* 22/15 (/ 1 (pow x 4)))) (/ 322/225 (pow x 6))))>
#<alt (* (pow x 4) (- (+ 1/5 (+ (* 22/15 (/ 1 (pow x 4))) (* 3479/1125 (/ 1 (pow x 8))))) (/ 322/225 (pow x 6))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 22/15 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- (+ 1/5 (* 22/15 (/ 1 (pow x 4)))) (/ 322/225 (pow x 6))))>
#<alt (* (pow x 4) (- (+ 1/5 (+ (* 22/15 (/ 1 (pow x 4))) (* 3479/1125 (/ 1 (pow x 8))))) (/ 322/225 (pow x 6))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/7 (* 3/35 (pow x 2))))))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 7/15 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- (+ 1/5 (* 7/15 (/ 1 (pow x 4)))) (/ 322/225 (pow x 6))))>
#<alt (* (pow x 4) (- (+ 1/5 (+ (* 7/15 (/ 1 (pow x 4))) (* 3479/1125 (/ 1 (pow x 8))))) (/ 322/225 (pow x 6))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 7/15 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- (+ 1/5 (* 7/15 (/ 1 (pow x 4)))) (/ 322/225 (pow x 6))))>
#<alt (* (pow x 4) (- (+ 1/5 (+ (* 7/15 (/ 1 (pow x 4))) (* 3479/1125 (/ 1 (pow x 8))))) (/ 322/225 (pow x 6))))>
#<alt (* 1/3 (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 (* 46/175 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 46/175 (* 213/875 (pow x 2))))))))>
#<alt (/ -7/9 (pow x 2))>
#<alt (/ (- (* 49/45 (/ 1 (pow x 2))) 7/9) (pow x 2))>
#<alt (/ (- (* 49/45 (/ 1 (pow x 2))) (+ 7/9 (/ 2254/675 (pow x 4)))) (pow x 2))>
#<alt (/ (- (+ (* 49/45 (/ 1 (pow x 2))) (* 24353/3375 (/ 1 (pow x 6)))) (+ 7/9 (/ 2254/675 (pow x 4)))) (pow x 2))>
#<alt (/ -7/9 (pow x 2))>
#<alt (/ (- (* 49/45 (/ 1 (pow x 2))) 7/9) (pow x 2))>
#<alt (/ (- (* 49/45 (/ 1 (pow x 2))) (+ 7/9 (/ 2254/675 (pow x 4)))) (pow x 2))>
#<alt (/ (- (+ (* 49/45 (/ 1 (pow x 2))) (* 24353/3375 (/ 1 (pow x 6)))) (+ 7/9 (/ 2254/675 (pow x 4)))) (pow x 2))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/2 (- (log -3) (log 3)))>
#<alt (+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))>
#<alt (+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))>
#<alt (* 1/2 (- (log -3) (log 3)))>
#<alt (+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))>
#<alt (+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (- (log -3) (log 3))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))>
#<alt (- (log -3) (log 3))>
#<alt (- (+ (log -3) (* 2 (/ 1 x))) (log 3))>
#<alt (- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3))>
#<alt (- (+ (log -3) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) (log 3))>
#<alt (- (log -3) (log 3))>
#<alt (- (+ (log -3) (* 2 (/ 1 x))) (log 3))>
#<alt (- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3))>
#<alt (- (+ (log -3) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) (log 3))>
#<alt (* -4 (pow x 2))>
#<alt (* (pow x 2) (- (* -8 x) 4))>
#<alt (* (pow x 2) (- (* x (- (* -20 x) 8)) 4))>
#<alt (* (pow x 2) (- (* x (- (* x (- (* -48 x) 20)) 8)) 4))>
#<alt (log -3)>
#<alt (+ (log -3) (* 8/3 (/ 1 x)))>
#<alt (+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))>
#<alt (+ (log -3) (+ (/ 4/9 (pow x 2)) (+ (* 8/3 (/ 1 x)) (* 80/81 (/ 1 (pow x 3))))))>
#<alt (log -3)>
#<alt (+ (log -3) (* 8/3 (/ 1 x)))>
#<alt (+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))>
#<alt (+ (log -3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 80/81 (/ 1 x))) x)) 8/3) x)))>
#<alt (* -4 (pow x 2))>
#<alt (* (pow x 2) (- (* -8 x) 4))>
#<alt (* (pow x 2) (- (* x (- (* -12 x) 8)) 4))>
#<alt (* (pow x 2) (- (* x (- (* x (- (* -16 x) 12)) 8)) 4))>
#<alt -4>
#<alt (* -1 (+ 4 (* 8 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4)>
#<alt (- (* -1 (/ (+ 12 (* 16 (/ 1 x))) (pow x 2))) (+ 4 (* 8 (/ 1 x))))>
#<alt -4>
#<alt (* -1 (+ 4 (* 8 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4)>
#<alt (- (* -1 (/ (+ 8 (+ (* 12 (/ 1 x)) (/ 16 (pow x 2)))) x)) 4)>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/5 x)>
#<alt (* x (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* x (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* x (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* 1/7 (pow x 3))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/7 (pow x 3))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 3/25 (pow x 6))>
#<alt (* (pow x 6) (+ 3/25 (* 138/875 (pow x 2))))>
#<alt (* (pow x 6) (+ 3/25 (* (pow x 2) (+ 138/875 (* 639/4375 (pow x 2))))))>
#<alt (* (pow x 6) (+ 3/25 (* (pow x 2) (+ 138/875 (* (pow x 2) (+ 639/4375 (* 23769/153125 (pow x 2))))))))>
#<alt (* -1/5 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/5 (* 7/15 (/ 1 (pow x 4))))))>
#<alt (* (pow x 4) (- (/ 49/75 (pow x 6)) (+ 1/5 (* 7/15 (/ 1 (pow x 4))))))>
#<alt (* (pow x 4) (- (/ 49/75 (pow x 6)) (+ 1/5 (+ (* 7/15 (/ 1 (pow x 4))) (* 2254/1125 (/ 1 (pow x 8)))))))>
#<alt (* -1/5 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/5 (* 7/15 (/ 1 (pow x 4))))))>
#<alt (* (pow x 4) (- (/ 49/75 (pow x 6)) (+ 1/5 (* 7/15 (/ 1 (pow x 4))))))>
#<alt (* (pow x 4) (- (/ 49/75 (pow x 6)) (+ 1/5 (+ (* 7/15 (/ 1 (pow x 4))) (* 2254/1125 (/ 1 (pow x 8)))))))>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt -1>
#<alt (- (* 2 x) 1)>
#<alt (- (* x (+ 2 (* -1 x))) 1)>
#<alt (- (* x (+ 2 (* -1 x))) 1)>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 1))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) (+ 1 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) (+ 1 (/ 1 (pow x 2)))))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 x) 2) x)) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 x) 2) x)) 1))>
#<alt (* -2 x)>
#<alt (* x (- (* -4 x) 2))>
#<alt (* x (- (* x (- (* -26/3 x) 4)) 2))>
#<alt (* x (- (* x (- (* x (- (* -20 x) 26/3)) 4)) 2))>
#<alt (log 3)>
#<alt (+ (log 3) (* 2/3 (/ 1 x)))>
#<alt (+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))>
#<alt (+ (log 3) (+ (/ 4/9 (pow x 2)) (+ (* 2/3 (/ 1 x)) (* 26/81 (/ 1 (pow x 3))))))>
#<alt (log 3)>
#<alt (+ (log 3) (* 2/3 (/ 1 x)))>
#<alt (+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))>
#<alt (+ (log 3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) x)) 2/3) x)))>
#<alt (* -2 x)>
#<alt (* x (- (* -2 x) 2))>
#<alt (* x (- (* x (- (* -2 x) 2)) 2))>
#<alt (* x (- (* x (- (* x (- (* -2 x) 2)) 2)) 2))>
#<alt 2>
#<alt (+ 2 (* 2 (/ 1 x)))>
#<alt (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))>
#<alt (+ 2 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))>
#<alt 2>
#<alt (+ 2 (* 2 (/ 1 x)))>
#<alt (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))>
#<alt (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)))>

Calls

87 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(/ (* (* x x) 4) (* (- 1 x) (+ x -1)))
3.0ms	x	@	inf	(/ (* (* x x) 4) (* (- 1 x) (+ x -1)))
1.0ms	x	@	0	(* 1/2 (- (log (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1))))) (log (+ 1 (/ (* 2 x) (+ x -1))))))
1.0ms	x	@	inf	(* 1/2 (- (log (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1))))) (log (+ 1 (/ (* 2 x) (+ x -1))))))
1.0ms	x	@	inf	(/ (+ 1 (* (* x (* x x)) (* (* x (* x x)) 1/27))) (+ 1 (* (* 1/3 (* x x)) (- (* 1/3 (* x x)) 1))))

rewrite369.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3206×	`-lowering-.f32`
3206×	`-lowering-.f64`
1928×	`/-lowering-/.f32`
1928×	`/-lowering-/.f64`
1772×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	63	604
1	445	467
2	4645	464
0	8159	464

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 621

Calls

Call 1

Inputs
(* x (+ (/ (+ 1 (* (* x (* x x)) (* (* x (* x x)) 1/27))) (+ 1 (* (* 1/3 (* x x)) (- (* 1/3 (* x x)) 1)))) (* x (* x (* x (* x (+ 1/5 (* (* x x) 1/7))))))))
(+ (/ (+ 1 (* (* x (* x x)) (* (* x (* x x)) 1/27))) (+ 1 (* (* 1/3 (* x x)) (- (* 1/3 (* x x)) 1)))) (* x (* x (* x (* x (+ 1/5 (* (* x x) 1/7)))))))
(/ (+ 1 (* (* x (* x x)) (* (* x (* x x)) 1/27))) (+ 1 (* (* 1/3 (* x x)) (- (* 1/3 (* x x)) 1))))
(+ 1 (* (* 1/3 (* x x)) (- (* 1/3 (* x x)) 1)))
(* x (+ 1 (* (* 1/3 x) x)))
(+ 1 (* (* 1/3 x) x))
(* (* 1/3 x) x)
(* 1/3 x)
(* x (+ 1 (* (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))) x)))
(+ 1 (* (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))) x))
(* (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))) x)
(* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))
(* x (+ 1 (- (/ (* (* x (* x 1/3)) (* x (* x 1/3))) (- (* x (* x 1/3)) (* x (* x (* x (* x (+ 1/5 (* (* x x) 1/7)))))))) (/ (* (* x (* x (* (* x x) 1/5))) (* x (* x (* x (* x (+ 1/5 (* (* x x) 1/7))))))) (- (* x (* x 1/3)) (* x (* x (* x (* x (+ 1/5 (* (* x x) 1/7)))))))))))
(+ 1 (- (/ (* (* x (* x 1/3)) (* x (* x 1/3))) (- (* x (* x 1/3)) (* x (* x (* x (* x (+ 1/5 (* (* x x) 1/7)))))))) (/ (* (* x (* x (* (* x x) 1/5))) (* x (* x (* x (* x (+ 1/5 (* (* x x) 1/7))))))) (- (* x (* x 1/3)) (* x (* x (* x (* x (+ 1/5 (* (* x x) 1/7))))))))))
(- (/ (* (* x (* x 1/3)) (* x (* x 1/3))) (- (* x (* x 1/3)) (* x (* x (* x (* x (+ 1/5 (* (* x x) 1/7)))))))) (/ (* (* x (* x (* (* x x) 1/5))) (* x (* x (* x (* x (+ 1/5 (* (* x x) 1/7))))))) (- (* x (* x 1/3)) (* x (* x (* x (* x (+ 1/5 (* (* x x) 1/7)))))))))
(/ (* (* x (* x 1/3)) (* x (* x 1/3))) (- (* x (* x 1/3)) (* x (* x (* x (* x (+ 1/5 (* (* x x) 1/7))))))))
(* 1/2 (- (log (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1))))) (log (+ 1 (/ (* 2 x) (+ x -1))))))
(- (log (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1))))) (log (+ 1 (/ (* 2 x) (+ x -1)))))
(log (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1)))))
(/ (* (* x x) 4) (* (- 1 x) (+ x -1)))
(* (* x x) 1/7)
(* 1/3 (* x x))
(* x (+ 1/5 (* (* x x) 1/7)))
(* x (* x (* x (* x (+ 1/5 (* (* x x) 1/7))))))
(/ (* (* x (* x (* (* x x) 1/5))) (* x (* x (* x (* x (+ 1/5 (* (* x x) 1/7))))))) (- (* x (* x 1/3)) (* x (* x (* x (* x (+ 1/5 (* (* x x) 1/7))))))))
(* x 1/3)
(* (- 1 x) (+ x -1))
(log (+ 1 (/ (* 2 x) (+ x -1))))
(/ (* 2 x) (+ x -1))

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

simplify349.0ms (4%)

Algorithm

1×	egg-herbie

Rules

5258×	`+-lowering-+.f64`
5258×	`+-lowering-+.f32`
4376×	`-lowering-.f32`
4376×	`-lowering-.f64`
1356×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	416	3381
1	1285	3155
2	3753	3052
0	8960	3052

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
1
(+ 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
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/9 (pow x 2)) 1/3)))
(+ 1 (* (pow x 2) (- (* 1/9 (pow x 2)) 1/3)))
(* 1/9 (pow x 4))
(* (pow x 4) (- 1/9 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/9 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/9 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 1/9 (pow x 4))
(* (pow x 4) (- 1/9 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/9 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/9 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* 1/3 (pow x 2)))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (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 x)
(* x (+ 1/3 (* 1/5 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* 1/7 (pow x 5))
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/7 (pow x 5))
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 22/15 (/ 1 (pow x 4)))))
(* (pow x 5) (- (+ 1/5 (* 22/15 (/ 1 (pow x 4)))) (/ 322/225 (pow x 6))))
(* (pow x 5) (- (+ 1/5 (+ (* 22/15 (/ 1 (pow x 4))) (* 3479/1125 (/ 1 (pow x 8))))) (/ 322/225 (pow x 6))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 22/15 (/ 1 (pow x 4)))))
(* -1 (* (pow x 5) (- (/ 322/225 (pow x 6)) (+ 1/5 (* 22/15 (/ 1 (pow x 4)))))))
(* -1 (* (pow x 5) (- (/ 322/225 (pow x 6)) (+ 1/5 (+ (* 22/15 (/ 1 (pow x 4))) (* 3479/1125 (/ 1 (pow x 8))))))))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 22/15 (/ 1 (pow x 4)))))
(* (pow x 4) (- (+ 1/5 (* 22/15 (/ 1 (pow x 4)))) (/ 322/225 (pow x 6))))
(* (pow x 4) (- (+ 1/5 (+ (* 22/15 (/ 1 (pow x 4))) (* 3479/1125 (/ 1 (pow x 8))))) (/ 322/225 (pow x 6))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 22/15 (/ 1 (pow x 4)))))
(* (pow x 4) (- (+ 1/5 (* 22/15 (/ 1 (pow x 4)))) (/ 322/225 (pow x 6))))
(* (pow x 4) (- (+ 1/5 (+ (* 22/15 (/ 1 (pow x 4))) (* 3479/1125 (/ 1 (pow x 8))))) (/ 322/225 (pow x 6))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/7 (* 3/35 (pow x 2))))))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 7/15 (/ 1 (pow x 4)))))
(* (pow x 4) (- (+ 1/5 (* 7/15 (/ 1 (pow x 4)))) (/ 322/225 (pow x 6))))
(* (pow x 4) (- (+ 1/5 (+ (* 7/15 (/ 1 (pow x 4))) (* 3479/1125 (/ 1 (pow x 8))))) (/ 322/225 (pow x 6))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 7/15 (/ 1 (pow x 4)))))
(* (pow x 4) (- (+ 1/5 (* 7/15 (/ 1 (pow x 4)))) (/ 322/225 (pow x 6))))
(* (pow x 4) (- (+ 1/5 (+ (* 7/15 (/ 1 (pow x 4))) (* 3479/1125 (/ 1 (pow x 8))))) (/ 322/225 (pow x 6))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 46/175 (pow x 2))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 46/175 (* 213/875 (pow x 2))))))))
(/ -7/9 (pow x 2))
(/ (- (* 49/45 (/ 1 (pow x 2))) 7/9) (pow x 2))
(/ (- (* 49/45 (/ 1 (pow x 2))) (+ 7/9 (/ 2254/675 (pow x 4)))) (pow x 2))
(/ (- (+ (* 49/45 (/ 1 (pow x 2))) (* 24353/3375 (/ 1 (pow x 6)))) (+ 7/9 (/ 2254/675 (pow x 4)))) (pow x 2))
(/ -7/9 (pow x 2))
(/ (- (* 49/45 (/ 1 (pow x 2))) 7/9) (pow x 2))
(/ (- (* 49/45 (/ 1 (pow x 2))) (+ 7/9 (/ 2254/675 (pow x 4)))) (pow x 2))
(/ (- (+ (* 49/45 (/ 1 (pow x 2))) (* 24353/3375 (/ 1 (pow x 6)))) (+ 7/9 (/ 2254/675 (pow x 4)))) (pow x 2))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/2 (- (log -3) (log 3)))
(+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* 1/2 (- (log -3) (log 3)))
(+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (- (log -3) (log 3))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(- (log -3) (log 3))
(- (+ (log -3) (* 2 (/ 1 x))) (log 3))
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3))
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) (log 3))
(- (log -3) (log 3))
(- (+ (log -3) (* 2 (/ 1 x))) (log 3))
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3))
(- (+ (log -3) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) (log 3))
(* -4 (pow x 2))
(* (pow x 2) (- (* -8 x) 4))
(* (pow x 2) (- (* x (- (* -20 x) 8)) 4))
(* (pow x 2) (- (* x (- (* x (- (* -48 x) 20)) 8)) 4))
(log -3)
(+ (log -3) (* 8/3 (/ 1 x)))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (+ (* 8/3 (/ 1 x)) (* 80/81 (/ 1 (pow x 3))))))
(log -3)
(+ (log -3) (* 8/3 (/ 1 x)))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))
(+ (log -3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 80/81 (/ 1 x))) x)) 8/3) x)))
(* -4 (pow x 2))
(* (pow x 2) (- (* -8 x) 4))
(* (pow x 2) (- (* x (- (* -12 x) 8)) 4))
(* (pow x 2) (- (* x (- (* x (- (* -16 x) 12)) 8)) 4))
-4
(* -1 (+ 4 (* 8 (/ 1 x))))
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4)
(- (* -1 (/ (+ 12 (* 16 (/ 1 x))) (pow x 2))) (+ 4 (* 8 (/ 1 x))))
-4
(* -1 (+ 4 (* 8 (/ 1 x))))
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4)
(- (* -1 (/ (+ 8 (+ (* 12 (/ 1 x)) (/ 16 (pow x 2)))) x)) 4)
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/5 x)
(* x (+ 1/5 (* 1/7 (pow x 2))))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(* 1/7 (pow x 3))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/7 (pow x 3))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 1/7 (pow x 2))))
(* (pow x 4) (+ 1/5 (* 1/7 (pow x 2))))
(* (pow x 4) (+ 1/5 (* 1/7 (pow x 2))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 3/25 (pow x 6))
(* (pow x 6) (+ 3/25 (* 138/875 (pow x 2))))
(* (pow x 6) (+ 3/25 (* (pow x 2) (+ 138/875 (* 639/4375 (pow x 2))))))
(* (pow x 6) (+ 3/25 (* (pow x 2) (+ 138/875 (* (pow x 2) (+ 639/4375 (* 23769/153125 (pow x 2))))))))
(* -1/5 (pow x 4))
(* -1 (* (pow x 4) (+ 1/5 (* 7/15 (/ 1 (pow x 4))))))
(* (pow x 4) (- (/ 49/75 (pow x 6)) (+ 1/5 (* 7/15 (/ 1 (pow x 4))))))
(* (pow x 4) (- (/ 49/75 (pow x 6)) (+ 1/5 (+ (* 7/15 (/ 1 (pow x 4))) (* 2254/1125 (/ 1 (pow x 8)))))))
(* -1/5 (pow x 4))
(* -1 (* (pow x 4) (+ 1/5 (* 7/15 (/ 1 (pow x 4))))))
(* (pow x 4) (- (/ 49/75 (pow x 6)) (+ 1/5 (* 7/15 (/ 1 (pow x 4))))))
(* (pow x 4) (- (/ 49/75 (pow x 6)) (+ 1/5 (+ (* 7/15 (/ 1 (pow x 4))) (* 2254/1125 (/ 1 (pow x 8)))))))
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
-1
(- (* 2 x) 1)
(- (* x (+ 2 (* -1 x))) 1)
(- (* x (+ 2 (* -1 x))) 1)
(* -1 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 1))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 1 (/ 1 (pow x 2)))))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 1 (/ 1 (pow x 2)))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 1))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 2) x)) 1))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 2) x)) 1))
(* -2 x)
(* x (- (* -4 x) 2))
(* x (- (* x (- (* -26/3 x) 4)) 2))
(* x (- (* x (- (* x (- (* -20 x) 26/3)) 4)) 2))
(log 3)
(+ (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (+ (* 2/3 (/ 1 x)) (* 26/81 (/ 1 (pow x 3))))))
(log 3)
(+ (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+ (log 3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) x)) 2/3) x)))
(* -2 x)
(* x (- (* -2 x) 2))
(* x (- (* x (- (* -2 x) 2)) 2))
(* x (- (* x (- (* x (- (* -2 x) 2)) 2)) 2))
2
(+ 2 (* 2 (/ 1 x)))
(+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(+ 2 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))
2
(+ 2 (* 2 (/ 1 x)))
(+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)))

Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32)))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))
(* 1/7 (pow x 7))
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 7 binary32)))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (*.f32 x x))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (*.f32 x x)))))))
(* 1/7 (pow x 7))
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 7 binary32)))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/5 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 x x))) (*.f32 x x)) #s(literal -1/7 binary32)) (-.f32 #s(literal 0 binary32) (pow.f32 x #s(literal 7 binary32))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x))) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 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 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32))))))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))
(* 1/7 (pow x 6))
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 6 binary32)))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (pow.f32 x #s(literal 6 binary32)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (+.f32 #s(literal 1/7 binary32) (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (*.f32 x x))))) (pow.f32 x #s(literal 6 binary32)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f32 (.f32 (+.f32 #s(literal 1/7 binary32) (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (*.f32 x x))))) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32))
(* 1/7 (pow x 6))
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 6 binary32)))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (pow.f32 x #s(literal 6 binary32)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (+.f32 #s(literal 1/7 binary32) (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (*.f32 x x))))) (pow.f32 x #s(literal 6 binary32)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f32 (.f32 (+.f32 #s(literal 1/7 binary32) (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (*.f32 x x))))) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* 1/3 (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
#s(literal 1 binary32)
(+ 1 (* -1/3 (pow x 2)))
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(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))
(* 1/5 (pow x 4))
(.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/5 binary32))))
(* (pow x 4) (+ 1/5 (* 1/7 (pow x 2))))
(.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 (.f32 x x) (.f32 x x)))
(* (pow x 4) (+ 1/5 (* 1/7 (pow x 2))))
(.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 (.f32 x x) (.f32 x x)))
(* (pow x 4) (+ 1/5 (* 1/7 (pow x 2))))
(.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 (.f32 x x) (.f32 x x)))
(* 1/7 (pow x 6))
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 6 binary32)))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (pow.f32 x #s(literal 6 binary32)))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (pow.f32 x #s(literal 6 binary32)))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (pow.f32 x #s(literal 6 binary32)))
(* 1/7 (pow x 6))
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 6 binary32)))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (pow.f32 x #s(literal 6 binary32)))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (pow.f32 x #s(literal 6 binary32)))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (pow.f32 x #s(literal 6 binary32)))
(* 3/25 (pow x 6))
(*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 3/25 binary32))
(* (pow x 6) (+ 3/25 (* 138/875 (pow x 2))))
(.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal 3/25 binary32) (.f32 (*.f32 x x) #s(literal 138/875 binary32))))
(* (pow x 6) (+ 3/25 (* (pow x 2) (+ 138/875 (* 639/4375 (pow x 2))))))
(.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal 3/25 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 138/875 binary32) (.f32 (*.f32 x x) #s(literal 639/4375 binary32))))))
(* (pow x 6) (+ 3/25 (* (pow x 2) (+ 138/875 (* (pow x 2) (+ 639/4375 (* 23769/153125 (pow x 2))))))))
(.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal 3/25 binary32) (.f32 x (.f32 x (+.f32 #s(literal 138/875 binary32) (.f32 x (.f32 x (+.f32 #s(literal 639/4375 binary32) (.f32 (*.f32 x x) #s(literal 23769/153125 binary32))))))))))
(* -1/5 (pow x 4))
(.f32 (.f32 (.f32 x x) (.f32 x x)) #s(literal -1/5 binary32))
(* -1 (* (pow x 4) (+ 1/5 (* 7/15 (/ 1 (pow x 4))))))
(-.f32 #s(literal -7/15 binary32) (.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/5 binary32)))))
(* (pow x 4) (- (/ 49/75 (pow x 6)) (+ 1/5 (* 7/15 (/ 1 (pow x 4))))))
(+.f32 (.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 (/.f32 #s(literal 49/75 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal -1/5 binary32))) #s(literal -7/15 binary32))
(* (pow x 4) (- (/ 49/75 (pow x 6)) (+ 1/5 (+ (* 7/15 (/ 1 (pow x 4))) (* 2254/1125 (/ 1 (pow x 8)))))))
(.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 (/.f32 #s(literal 49/75 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 (/.f32 #s(literal -2254/1125 binary32) (pow.f32 x #s(literal 8 binary32))) (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 7/15 binary32) (.f32 (.f32 x x) (*.f32 x x)))))))
(* -1/5 (pow x 4))
(.f32 (.f32 (.f32 x x) (.f32 x x)) #s(literal -1/5 binary32))
(* -1 (* (pow x 4) (+ 1/5 (* 7/15 (/ 1 (pow x 4))))))
(-.f32 #s(literal -7/15 binary32) (.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/5 binary32)))))
(* (pow x 4) (- (/ 49/75 (pow x 6)) (+ 1/5 (* 7/15 (/ 1 (pow x 4))))))
(+.f32 (.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 (/.f32 #s(literal 49/75 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal -1/5 binary32))) #s(literal -7/15 binary32))
(* (pow x 4) (- (/ 49/75 (pow x 6)) (+ 1/5 (+ (* 7/15 (/ 1 (pow x 4))) (* 2254/1125 (/ 1 (pow x 8)))))))
(.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 (/.f32 #s(literal 49/75 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 (/.f32 #s(literal -2254/1125 binary32) (pow.f32 x #s(literal 8 binary32))) (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 7/15 binary32) (.f32 (.f32 x x) (*.f32 x x)))))))
(* 1/3 x)
(*.f32 x #s(literal 1/3 binary32))
(* 1/3 x)
(*.f32 x #s(literal 1/3 binary32))
(* 1/3 x)
(*.f32 x #s(literal 1/3 binary32))
(* 1/3 x)
(*.f32 x #s(literal 1/3 binary32))
(* 1/3 x)
(*.f32 x #s(literal 1/3 binary32))
(* 1/3 x)
(*.f32 x #s(literal 1/3 binary32))
(* 1/3 x)
(*.f32 x #s(literal 1/3 binary32))
(* 1/3 x)
(*.f32 x #s(literal 1/3 binary32))
(* 1/3 x)
(*.f32 x #s(literal 1/3 binary32))
(* 1/3 x)
(*.f32 x #s(literal 1/3 binary32))
(* 1/3 x)
(*.f32 x #s(literal 1/3 binary32))
(* 1/3 x)
(*.f32 x #s(literal 1/3 binary32))
-1
#s(literal -1 binary32)
(- (* 2 x) 1)
(+.f32 #s(literal -1 binary32) (*.f32 x #s(literal 2 binary32)))
(- (* x (+ 2 (* -1 x))) 1)
(+.f32 #s(literal -1 binary32) (*.f32 x (-.f32 #s(literal 2 binary32) x)))
(- (* x (+ 2 (* -1 x))) 1)
(+.f32 #s(literal -1 binary32) (*.f32 x (-.f32 #s(literal 2 binary32) x)))
(* -1 (pow x 2))
(-.f32 #s(literal 0 binary32) (*.f32 x x))
(* (pow x 2) (- (* 2 (/ 1 x)) 1))
(.f32 (.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) x)) x) x)
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 1 (/ 1 (pow x 2)))))
(.f32 x (.f32 x (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) x)) x))))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 1 (/ 1 (pow x 2)))))
(.f32 x (.f32 x (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) x)) x))))
(* -1 (pow x 2))
(-.f32 #s(literal 0 binary32) (*.f32 x x))
(* (pow x 2) (- (* 2 (/ 1 x)) 1))
(.f32 (.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) x)) x) x)
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 2) x)) 1))
(.f32 x (.f32 x (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) x)) x))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 2) x)) 1))
(.f32 x (.f32 x (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) x)) x))))
(* -2 x)
(*.f32 x #s(literal -2 binary32))
(* x (- (* -4 x) 2))
(.f32 x (+.f32 #s(literal -2 binary32) (.f32 x #s(literal -4 binary32))))
(* x (- (* x (- (* -26/3 x) 4)) 2))
(.f32 x (+.f32 #s(literal -2 binary32) (.f32 x (+.f32 #s(literal -4 binary32) (*.f32 x #s(literal -26/3 binary32))))))
(* x (- (* x (- (* x (- (* -20 x) 26/3)) 4)) 2))
(.f32 x (+.f32 #s(literal -2 binary32) (.f32 x (+.f32 #s(literal -4 binary32) (.f32 x (+.f32 (.f32 x #s(literal -20 binary32)) #s(literal -26/3 binary32)))))))
(log 3)
(log.f32 #s(literal 3 binary32))
(+ (log 3) (* 2/3 (/ 1 x)))
(+.f32 (log.f32 #s(literal 3 binary32)) (/.f32 #s(literal 2/3 binary32) x))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+.f32 (log.f32 #s(literal 3 binary32)) (+.f32 (/.f32 #s(literal 4/9 binary32) (*.f32 x x)) (/.f32 #s(literal 2/3 binary32) x)))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (+ (* 2/3 (/ 1 x)) (* 26/81 (/ 1 (pow x 3))))))
(+.f32 (log.f32 #s(literal 3 binary32)) (+.f32 (/.f32 #s(literal 2/3 binary32) x) (+.f32 (/.f32 #s(literal 4/9 binary32) (.f32 x x)) (/.f32 #s(literal 26/81 binary32) (.f32 x (*.f32 x x))))))
(log 3)
(log.f32 #s(literal 3 binary32))
(+ (log 3) (* 2/3 (/ 1 x)))
(+.f32 (log.f32 #s(literal 3 binary32)) (/.f32 #s(literal 2/3 binary32) x))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+.f32 (log.f32 #s(literal 3 binary32)) (+.f32 (/.f32 #s(literal 4/9 binary32) (*.f32 x x)) (/.f32 #s(literal 2/3 binary32) x)))
(+ (log 3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) x)) 2/3) x)))
(-.f32 (log.f32 #s(literal 3 binary32)) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -4/9 binary32) (/.f32 #s(literal -26/81 binary32) x)) x) #s(literal -2/3 binary32)) x))
(* -2 x)
(*.f32 x #s(literal -2 binary32))
(* x (- (* -2 x) 2))
(.f32 x (+.f32 #s(literal -2 binary32) (.f32 x #s(literal -2 binary32))))
(* x (- (* x (- (* -2 x) 2)) 2))
(.f32 x (+.f32 #s(literal -2 binary32) (.f32 x (+.f32 #s(literal -2 binary32) (*.f32 x #s(literal -2 binary32))))))
(* x (- (* x (- (* x (- (* -2 x) 2)) 2)) 2))
(.f32 x (+.f32 #s(literal -2 binary32) (.f32 x (+.f32 #s(literal -2 binary32) (.f32 x (+.f32 #s(literal -2 binary32) (.f32 x #s(literal -2 binary32))))))))
2
#s(literal 2 binary32)
(+ 2 (* 2 (/ 1 x)))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x))
(+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(+ 2 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))
(+.f32 (/.f32 #s(literal 2 binary32) x) (+.f32 (/.f32 #s(literal 2 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 2 binary32) (.f32 x (*.f32 x x))) #s(literal 2 binary32))))
2
#s(literal 2 binary32)
(+ 2 (* 2 (/ 1 x)))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x))
(+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2 binary32) (*.f32 x x))))
(+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) 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))

eval146.0ms (1.7%)

Compiler: Compiled 72371 to 3661 computations (94.9% saved)

prune448.0ms (5.1%)

Pruning

19 alts after pruning (13 fresh and 6 done)

	Pruned	Kept	Total
New	1237	10	1247
Fresh	8	3	11
Picked	4	1	5
Done	0	5	5
Total	1249	19	1268

Accuracy

100.0%

Counts

1268 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.1%	(/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal 1/3 binary32)))))
	98.9%	(+.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32))) (.f32 x (*.f32 x x))) x)
✓	99.1%	(+.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 x (*.f32 x x))) x)
	57.1%	(+.f32 (.f32 x (/.f32 (.f32 x (-.f32 (.f32 x (.f32 (.f32 x x) #s(literal 1/9 binary32))) (.f32 (.f32 x (.f32 (.f32 x (.f32 x x)) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))) (.f32 (.f32 x (.f32 x x)) #s(literal 1/5 binary32))))) (.f32 x (.f32 x (-.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))) x)
	98.2%	(+.f32 (.f32 x (.f32 (*.f32 x x) #s(literal 1/3 binary32))) x)
	22.8%	(.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))))) #s(literal 1/2 binary32))
	57.0%	(.f32 x (-.f32 (/.f32 (.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/9 binary32)))) (.f32 x (.f32 x (-.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) (-.f32 (/.f32 (.f32 (.f32 (.f32 x (.f32 x x)) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))) (.f32 (.f32 x x) (.f32 (.f32 x (.f32 x x)) #s(literal 1/5 binary32)))) (.f32 x (.f32 x (-.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) #s(literal 1 binary32))))
	98.3%	(.f32 x (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/27 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -1/3 binary32)))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
✓	99.0%	(.f32 x (+.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
	30.8%	(.f32 x (+.f32 #s(literal 22/15 binary32) (.f32 x (.f32 x (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
	56.9%	(.f32 x (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (/.f32 (.f32 (.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/5 binary32)))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 (*.f32 x x) #s(literal 1/5 binary32)))))))))
	56.8%	(.f32 x (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x (.f32 x x)) x)) (+.f32 #s(literal 3/25 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 213/875 binary32) (.f32 x (.f32 x #s(literal 7923/30625 binary32))))))))))
	99.1%	(.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) (+.f32 #s(literal 1/7 binary32) (.f32 (*.f32 x x) #s(literal 3/35 binary32)))))))))))
✓	98.1%	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (*.f32 #s(literal 1/3 binary32) x) x)))
✓	98.8%	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x #s(literal 1/5 binary32))))))))
	99.0%	(.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (.f32 x (/.f32 (.f32 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))))))
	98.2%	(.f32 #s(literal 1/2 binary32) (+.f32 (.f32 x (.f32 x (.f32 x #s(literal 2/3 binary32)))) (*.f32 #s(literal 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))))
✓	96.1%	x

Compiler

Compiled 2143 to 564 computations (73.7% saved)

regimes53.0ms (0.6%)

Counts

39 → 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 #s(literal 1/3 binary32) x) x)))
(+.f32 (.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x x))) x)
(+.f32 (.f32 x (.f32 (*.f32 x x) #s(literal 1/3 binary32))) x)
(.f32 #s(literal 1/2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (.f32 x (.f32 x #s(literal 2/3 binary32))))))
(/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal 1/3 binary32)))))
(.f32 #s(literal 1/2 binary32) (+.f32 (.f32 x (.f32 x (.f32 x #s(literal 2/3 binary32)))) (*.f32 #s(literal 2 binary32) x)))
(.f32 x (+.f32 #s(literal 22/15 binary32) (.f32 x (.f32 x (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x #s(literal 1/5 binary32))))))))
(+.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32))) (.f32 x (*.f32 x x))) x)
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.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 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) x)))
(+.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 x (*.f32 x x))) x)
(.f32 x (+.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (.f32 x (.f32 x (.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 (.f32 x x) (+.f32 #s(literal 1/7 binary32) (.f32 (*.f32 x x) #s(literal 3/35 binary32)))))))))))
(.f32 x (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/27 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -1/3 binary32)))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
(.f32 x (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/27 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 1/3 binary32) (.f32 x x)) (-.f32 (.f32 #s(literal 1/3 binary32) (.f32 x x)) #s(literal 1 binary32))))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))))
(+.f32 (.f32 x (/.f32 (.f32 x (-.f32 (.f32 x (.f32 (.f32 x x) #s(literal 1/9 binary32))) (.f32 (.f32 x (.f32 (.f32 x (.f32 x x)) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))) (.f32 (.f32 x (.f32 x x)) #s(literal 1/5 binary32))))) (.f32 x (.f32 x (-.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))) x)
(.f32 x (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x (.f32 x x)) x)) (+.f32 (.f32 (.f32 x x) #s(literal 213/875 binary32)) #s(literal 3/25 binary32))))))
(.f32 x (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x (.f32 x x)) x)) (+.f32 #s(literal 3/25 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 213/875 binary32) (.f32 x (.f32 x #s(literal 7923/30625 binary32))))))))))
(/.f32 (-.f32 (.f32 x x) (.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 x (.f32 x x))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 x (.f32 x x))))) (-.f32 x (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.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 x (.f32 x x))) x) (.f32 (.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 x (.f32 x #s(literal 1/7 binary32)))))))))) (-.f32 (.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 x (.f32 x x))) x))))
(.f32 x (-.f32 (/.f32 (.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/9 binary32)))) (.f32 x (.f32 x (-.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) (-.f32 (/.f32 (.f32 (.f32 (.f32 x (.f32 x x)) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))) (.f32 (.f32 x x) (.f32 (.f32 x (.f32 x x)) #s(literal 1/5 binary32)))) (.f32 x (.f32 x (-.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) #s(literal 1 binary32))))
(.f32 x (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (/.f32 (.f32 (.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/5 binary32)))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 (*.f32 x x) #s(literal 1/5 binary32)))))))))
(.f32 x (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (/.f32 (.f32 (.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/5 binary32)))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.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 (.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (.f32 (/.f32 (.f32 x (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) x) (/.f32 (.f32 x (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (.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 #s(literal 1 binary32) (-.f32 (/.f32 (.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (/.f32 (.f32 (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.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 (.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (-.f32 (.f32 (.f32 x x) #s(literal 1/3 binary32)) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (/.f32 (.f32 (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.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 (.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (/.f32 (.f32 (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (/.f32 (.f32 (-.f32 #s(literal 1/25 binary32) (.f32 (.f32 (.f32 x 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 #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) x) (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 #s(literal 1 binary32) x))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x)))))
(.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))))) #s(literal 1/2 binary32))
(.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (.f32 x (/.f32 (.f32 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 (.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 (-.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 #s(literal 1/2 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)))))))))

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

Calls

4 calls:

11.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
11.0ms	x
11.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
10.0ms	(log1p.f32 (/.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)

regimes46.0ms (0.5%)

Counts

32 → 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 #s(literal 1/3 binary32) x) x)))
(+.f32 (.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x x))) x)
(+.f32 (.f32 x (.f32 (*.f32 x x) #s(literal 1/3 binary32))) x)
(.f32 #s(literal 1/2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (.f32 x (.f32 x #s(literal 2/3 binary32))))))
(/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal 1/3 binary32)))))
(.f32 #s(literal 1/2 binary32) (+.f32 (.f32 x (.f32 x (.f32 x #s(literal 2/3 binary32)))) (*.f32 #s(literal 2 binary32) x)))
(.f32 x (+.f32 #s(literal 22/15 binary32) (.f32 x (.f32 x (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x #s(literal 1/5 binary32))))))))
(+.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32))) (.f32 x (*.f32 x x))) x)
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.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 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) x)))
(+.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 x (*.f32 x x))) x)
(.f32 x (+.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (.f32 x (.f32 x (.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 (.f32 x x) (+.f32 #s(literal 1/7 binary32) (.f32 (*.f32 x x) #s(literal 3/35 binary32)))))))))))
(.f32 x (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/27 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -1/3 binary32)))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
(.f32 x (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/27 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 1/3 binary32) (.f32 x x)) (-.f32 (.f32 #s(literal 1/3 binary32) (.f32 x x)) #s(literal 1 binary32))))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))))
(+.f32 (.f32 x (/.f32 (.f32 x (-.f32 (.f32 x (.f32 (.f32 x x) #s(literal 1/9 binary32))) (.f32 (.f32 x (.f32 (.f32 x (.f32 x x)) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))) (.f32 (.f32 x (.f32 x x)) #s(literal 1/5 binary32))))) (.f32 x (.f32 x (-.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))) x)
(.f32 x (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x (.f32 x x)) x)) (+.f32 (.f32 (.f32 x x) #s(literal 213/875 binary32)) #s(literal 3/25 binary32))))))
(.f32 x (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x (.f32 x x)) x)) (+.f32 #s(literal 3/25 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 213/875 binary32) (.f32 x (.f32 x #s(literal 7923/30625 binary32))))))))))
(/.f32 (-.f32 (.f32 x x) (.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 x (.f32 x x))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 x (.f32 x x))))) (-.f32 x (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.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 x (.f32 x x))) x) (.f32 (.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 x (.f32 x #s(literal 1/7 binary32)))))))))) (-.f32 (.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 x (.f32 x x))) x))))
(.f32 x (-.f32 (/.f32 (.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/9 binary32)))) (.f32 x (.f32 x (-.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) (-.f32 (/.f32 (.f32 (.f32 (.f32 x (.f32 x x)) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))) (.f32 (.f32 x x) (.f32 (.f32 x (.f32 x x)) #s(literal 1/5 binary32)))) (.f32 x (.f32 x (-.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) #s(literal 1 binary32))))
(.f32 x (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (/.f32 (.f32 (.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/5 binary32)))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 (*.f32 x x) #s(literal 1/5 binary32)))))))))
(.f32 x (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (/.f32 (.f32 (.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/5 binary32)))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.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 (.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (.f32 (/.f32 (.f32 x (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) x) (/.f32 (.f32 x (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (.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 #s(literal 1 binary32) (-.f32 (/.f32 (.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (/.f32 (.f32 (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.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 (.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (-.f32 (.f32 (.f32 x x) #s(literal 1/3 binary32)) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (/.f32 (.f32 (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.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 (.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (/.f32 (.f32 (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (/.f32 (.f32 (-.f32 #s(literal 1/25 binary32) (.f32 (.f32 (.f32 x 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 #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))))

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:

10.0ms	(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))
9.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
8.0ms	x

Results

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

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes11.0ms (0.1%)

Counts

30 → 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 #s(literal 1/3 binary32) x) x)))
(+.f32 (.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x x))) x)
(+.f32 (.f32 x (.f32 (*.f32 x x) #s(literal 1/3 binary32))) x)
(.f32 #s(literal 1/2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (.f32 x (.f32 x #s(literal 2/3 binary32))))))
(/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal 1/3 binary32)))))
(.f32 #s(literal 1/2 binary32) (+.f32 (.f32 x (.f32 x (.f32 x #s(literal 2/3 binary32)))) (*.f32 #s(literal 2 binary32) x)))
(.f32 x (+.f32 #s(literal 22/15 binary32) (.f32 x (.f32 x (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x #s(literal 1/5 binary32))))))))
(+.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32))) (.f32 x (*.f32 x x))) x)
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.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 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) x)))
(+.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 x (*.f32 x x))) x)
(.f32 x (+.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (.f32 x (.f32 x (.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 (.f32 x x) (+.f32 #s(literal 1/7 binary32) (.f32 (*.f32 x x) #s(literal 3/35 binary32)))))))))))
(.f32 x (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/27 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal -1/3 binary32)))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
(.f32 x (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/27 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 1/3 binary32) (.f32 x x)) (-.f32 (.f32 #s(literal 1/3 binary32) (.f32 x x)) #s(literal 1 binary32))))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))))
(+.f32 (.f32 x (/.f32 (.f32 x (-.f32 (.f32 x (.f32 (.f32 x x) #s(literal 1/9 binary32))) (.f32 (.f32 x (.f32 (.f32 x (.f32 x x)) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))) (.f32 (.f32 x (.f32 x x)) #s(literal 1/5 binary32))))) (.f32 x (.f32 x (-.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))) x)
(.f32 x (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x (.f32 x x)) x)) (+.f32 (.f32 (.f32 x x) #s(literal 213/875 binary32)) #s(literal 3/25 binary32))))))
(.f32 x (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x (.f32 x x)) x)) (+.f32 #s(literal 3/25 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 213/875 binary32) (.f32 x (.f32 x #s(literal 7923/30625 binary32))))))))))
(/.f32 (-.f32 (.f32 x x) (.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 x (.f32 x x))) (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 x (.f32 x x))))) (-.f32 x (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))) (.f32 x (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.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 x (.f32 x x))) x) (.f32 (.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 x (.f32 x #s(literal 1/7 binary32)))))))))) (-.f32 (.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 x (.f32 x x))) x))))
(.f32 x (-.f32 (/.f32 (.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/9 binary32)))) (.f32 x (.f32 x (-.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) (-.f32 (/.f32 (.f32 (.f32 (.f32 x (.f32 x x)) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))) (.f32 (.f32 x x) (.f32 (.f32 x (.f32 x x)) #s(literal 1/5 binary32)))) (.f32 x (.f32 x (-.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) #s(literal 1 binary32))))
(.f32 x (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (/.f32 (.f32 (.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/5 binary32)))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 (*.f32 x x) #s(literal 1/5 binary32)))))))))
(.f32 x (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (/.f32 (.f32 (.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/5 binary32)))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.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 (.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (.f32 (/.f32 (.f32 x (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) x) (/.f32 (.f32 x (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))) (.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 #s(literal 1 binary32) (-.f32 (/.f32 (.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (/.f32 (.f32 (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.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 (.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (-.f32 (.f32 (.f32 x x) #s(literal 1/3 binary32)) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (/.f32 (.f32 (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.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 (.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))) (/.f32 (.f32 (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))) (.f32 x (.f32 x (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))) (-.f32 (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 x (.f32 x (.f32 x (/.f32 (.f32 (-.f32 #s(literal 1/25 binary32) (.f32 (.f32 (.f32 x 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)))))))))))))

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
99.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes29.0ms (0.3%)

Counts

11 → 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 #s(literal 1/3 binary32) x) x)))
(+.f32 (.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x x))) x)
(+.f32 (.f32 x (.f32 (*.f32 x x) #s(literal 1/3 binary32))) x)
(.f32 #s(literal 1/2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (.f32 x (.f32 x #s(literal 2/3 binary32))))))
(/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal 1/3 binary32)))))
(.f32 #s(literal 1/2 binary32) (+.f32 (.f32 x (.f32 x (.f32 x #s(literal 2/3 binary32)))) (*.f32 #s(literal 2 binary32) x)))
(.f32 x (+.f32 #s(literal 22/15 binary32) (.f32 x (.f32 x (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x #s(literal 1/5 binary32))))))))
(+.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32))) (.f32 x (*.f32 x x))) x)

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

Calls

1 calls:

28.0ms

Results

Accuracy	Segments	Branch
98.9%	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 #s(literal 1/3 binary32) x) x)))
(+.f32 (.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x x))) x)
(+.f32 (.f32 x (.f32 (*.f32 x x) #s(literal 1/3 binary32))) x)
(.f32 #s(literal 1/2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (.f32 x (.f32 x #s(literal 2/3 binary32))))))
(/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal 1/3 binary32)))))
(.f32 #s(literal 1/2 binary32) (+.f32 (.f32 x (.f32 x (.f32 x #s(literal 2/3 binary32)))) (*.f32 #s(literal 2 binary32) x)))
(.f32 x (+.f32 #s(literal 22/15 binary32) (.f32 x (.f32 x (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x #s(literal 1/5 binary32))))))))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

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 #s(literal 1/3 binary32) x) x)))
(+.f32 (.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x x))) x)
(+.f32 (.f32 x (.f32 (*.f32 x x) #s(literal 1/3 binary32))) x)
(.f32 #s(literal 1/2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (.f32 x (.f32 x #s(literal 2/3 binary32))))))
(/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal 1/3 binary32)))))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.2%	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 #s(literal 1/3 binary32) x) x)))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
98.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
96.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

66×	`*-commutative_binary32`
36×	`+-commutative_binary32`
8×	`sub-neg_binary32`
4×	`neg-sub0_binary32`
4×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	160
1	114	160
2	122	160
3	126	160
4	128	160

Stop Event

1×

saturated

Calls

Call 1

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

soundness1.7s (19.8%)

Rules

3694×	`-lowering-.f32`
3694×	`-lowering-.f64`
3608×	`-lowering-.f32`
3608×	`-lowering-.f64`
3572×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	394
1	331	359
2	991	349
3	2893	344
4	5281	344
0	8394	344
0	10	28
1	50	28
2	417	28
3	6054	28
0	8241	28
0	39	357
1	296	283
2	3113	279
0	9203	279
0	153	2822
1	530	2637
2	1683	2583
3	5519	2560
0	8569	2560
0	35	224
1	225	210
2	2172	171
0	8995	171

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

Compiler

Compiled 400 to 219 computations (45.3% saved)

preprocess47.0ms (0.5%)

Compiler: Compiled 344 to 138 computations (59.9% saved)

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

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

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

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

analyze2.0ms (0%)

sample404.0ms (4.6%)

preprocess28.0ms (0.3%)

explain137.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify17.0ms (0.2%)

localize61.0ms (0.7%)

series4.0ms (0%)

rewrite207.0ms (2.4%)

simplify187.0ms (2.1%)

eval14.0ms (0.2%)

prune36.0ms (0.4%)

simplify247.0ms (2.8%)

localize318.0ms (3.6%)

series14.0ms (0.2%)

rewrite400.0ms (4.6%)

simplify328.0ms (3.7%)

eval143.0ms (1.6%)

prune183.0ms (2.1%)

simplify222.0ms (2.5%)

localize303.0ms (3.5%)

series15.0ms (0.2%)

rewrite488.0ms (5.6%)

simplify308.0ms (3.5%)

eval277.0ms (3.2%)

prune165.0ms (1.9%)

simplify282.0ms (3.2%)

localize679.0ms (7.7%)

series22.0ms (0.3%)

rewrite369.0ms (4.2%)

simplify349.0ms (4%)

eval146.0ms (1.7%)

prune448.0ms (5.1%)

regimes53.0ms (0.6%)

regimes46.0ms (0.5%)

regimes11.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes29.0ms (0.3%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify13.0ms (0.1%)

soundness1.7s (19.8%)

preprocess47.0ms (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