Metrics for Rust f32::acosh

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
100%	25%	0%	75%	0%	0%	0%	1

Compiler

Compiled 6 to 4 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

const: 0.0ms (0% of total)

ival->=: 0.0ms (0% of total)

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

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

sample518.0ms (5.4%)

Results

386.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 235.0ms

ival-acosh: 179.0ms (76.1% of total)

ival->=: 46.0ms (19.5% of total)

const: 7.0ms (3% of total)

backward-pass: 3.0ms (1.3% of total)

Bogosity

preprocess162.0ms (1.7%)

Algorithm

2×	egg-herbie

Rules

2004×	`fmsub-define`
1736×	`fmm-def`
1728×	`fma-lowering-fma.f32`
1728×	`fma-lowering-fma.f64`
1680×	`fnmadd-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	7	8
1	19	8
2	23	8
3	38	8
4	79	8
5	263	8
6	514	8
7	1117	8
8	3858	8
0	8013	8

Stop Event

1×	iter limit
1×	node limit
1×	saturated

Calls

Call 1

Inputs
(log (+ x (sqrt (- (* x x) 1))))

Outputs
(log (+ x (sqrt (- (* x x) 1))))
(log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)))))

Call 2

Inputs
(acosh x)
(acosh (neg x))
(neg (acosh (neg x)))

Outputs
(acosh x)
(acosh (neg x))
(neg (acosh (neg x)))

explain135.0ms (1.4%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
122	-	-	`(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))`
2	-	-	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
0	-	-	`x`
0	-	-	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`
0	-	-	`#s(literal 1 binary32)`
0	-	-	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`
0	-	-	`(*.f32 x x)`

Results

85.0ms

512×

valid

Compiler

Compiled 80 to 23 computations (71.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-log: 10.0ms (40.1% of total)

ival-mult: 4.0ms (16% of total)

ival-sqrt: 4.0ms (16% of total)

ival-sub: 3.0ms (12% of total)

ival-add: 3.0ms (12% of total)

const: 1.0ms (4% of total)

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

eval0.0ms (0%)

Compiler: Compiled 10 to 7 computations (30% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.4%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify150.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

2004×	`fmsub-define`
1736×	`fmm-def`
1728×	`fma-lowering-fma.f32`
1728×	`fma-lowering-fma.f64`
1680×	`fnmadd-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	28
1	19	28
2	23	28
3	38	28
4	79	28
5	263	28
6	514	28
7	1117	28
8	3858	28
0	8013	28

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(log (+ x (sqrt (- (* x x) 1))))
(+ x (sqrt (- (* x x) 1)))
x
(sqrt (- (* x x) 1))
(- (* x x) 1)
(* x x)
1

Outputs
(log (+ x (sqrt (- (* x x) 1))))
(log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)))))
(+ x (sqrt (- (* x x) 1)))
(+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32))))
x
(sqrt (- (* x x) 1))
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)))
(- (* x x) 1)
(+.f32 (*.f32 x x) #s(literal -1 binary32))
(* x x)
(*.f32 x x)
1
#s(literal 1 binary32)

localize32.0ms (0.3%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f32 (*.f32 x x) #s(literal 1 binary32))
✓	accuracy	99.9%	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
✓	accuracy	99.2%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	accuracy	59.0%	(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))

Results

23.0ms

256×

valid

Compiler

Compiled 35 to 8 computations (77.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-log: 4.0ms (29.4% of total)

ival-mult: 4.0ms (29.4% of total)

ival-sqrt: 2.0ms (14.7% of total)

ival-sub: 1.0ms (7.4% of total)

ival-add: 1.0ms (7.4% of total)

const: 0.0ms (0% of total)

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

series5.0ms (0%)

Counts

4 → 48

Calls

Call 1

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

Outputs
#<alt (log (sqrt -1))>
#<alt (+ (log (sqrt -1)) (/ x (sqrt -1)))>
#<alt (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))>
#<alt (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -1/2) (log (/ -1 x)))>
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))>
#<alt (sqrt -1)>
#<alt (+ x (sqrt -1))>
#<alt (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))>
#<alt (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))>
#<alt (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))>
#<alt (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))>
#<alt -1>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>

Calls

12 calls:

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

rewrite308.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2530×	`-lowering-.f32`
2530×	`-lowering-.f64`
1724×	`/-lowering-/.f32`
1724×	`/-lowering-/.f64`
1658×	`log-lowering-log.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
1	47	24
2	342	24
3	4206	24
0	8119	24

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 268

Calls

Call 1

Inputs
(log (+ x (sqrt (- (* x x) 1))))
(+ x (sqrt (- (* x x) 1)))
(sqrt (- (* x x) 1))
(- (* x x) 1)

Outputs
(neg.f32 (neg.f32 (log.f32 (+.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))))
(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)))) #s(literal 1 binary32))))
(neg.f32 (log.f32 (/.f32 (-.f32 (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)) x) (+.f32 (.f32 x x) (-.f32 #s(literal -1 binary32) (*.f32 x x))))))
(+.f32 (log.f32 (+.f32 x (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)))) (log.f32 (.f32 (-.f32 x (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 x (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)))))))
(+.f32 (log.f32 (+.f32 x (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)))) (log.f32 (/.f32 (-.f32 x (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))) (-.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))))
(+.f32 #s(literal 0 binary32) (log.f32 (+.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)))))
(+.f32 (log.f32 (+.f32 (.f32 x (.f32 x x)) (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 3/2 binary32)))) (neg.f32 (log.f32 (+.f32 (.f32 x x) (+.f32 #s(literal -1 binary32) (.f32 x (-.f32 x (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)))))))))
(+.f32 (log.f32 (+.f32 (.f32 x x) (+.f32 #s(literal -1 binary32) (.f32 x (-.f32 x (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))))) (log.f32 (.f32 (+.f32 x (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (.f32 x x) (+.f32 #s(literal -1 binary32) (.f32 x (-.f32 x (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))))))))
(+.f32 (log.f32 (+.f32 (.f32 x x) (+.f32 #s(literal -1 binary32) (.f32 x (-.f32 x (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))))) (log.f32 (/.f32 (+.f32 x (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))) (+.f32 (.f32 x x) (+.f32 #s(literal -1 binary32) (.f32 x (-.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)))))))))
(+.f32 (log.f32 (+.f32 (.f32 x x) (-.f32 #s(literal 1 binary32) (.f32 x x)))) (neg.f32 (log.f32 (-.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))))
(+.f32 (log.f32 (neg.f32 (+.f32 (.f32 x (.f32 x x)) (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 3/2 binary32))))) (log.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (.f32 x x) (+.f32 #s(literal -1 binary32) (.f32 x (-.f32 x (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))))))))
(+.f32 (log.f32 (neg.f32 (+.f32 (.f32 x x) (-.f32 #s(literal 1 binary32) (.f32 x x))))) (log.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)))))))
(+.f32 (log.f32 (+.f32 (.f32 x x) (-.f32 #s(literal -1 binary32) (.f32 x x)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)) x))))
(+.f32 (neg.f32 (log.f32 (+.f32 (.f32 x x) (+.f32 #s(literal -1 binary32) (.f32 x (-.f32 x (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)))))))) (log.f32 (+.f32 (.f32 x (.f32 x x)) (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 3/2 binary32)))))
(+.f32 (neg.f32 (log.f32 (-.f32 x (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))) (log.f32 (+.f32 (.f32 x x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(+.f32 (log.f32 (/.f32 (+.f32 (.f32 x x) (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 (.f32 x x) (-.f32 #s(literal 1 binary32) (.f32 x x))))) (log.f32 (+.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)))))
(+.f32 (log.f32 (/.f32 (+.f32 (.f32 x (.f32 x x)) (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 3/2 binary32))) (+.f32 (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))) (pow.f32 (+.f32 #s(literal -1 binary32) (.f32 x (-.f32 x (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))) #s(literal 3 binary32))))) (log.f32 (+.f32 (.f32 x (.f32 x (.f32 x x))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 x (-.f32 x (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))) (-.f32 (+.f32 #s(literal -1 binary32) (.f32 x (-.f32 x (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))) (*.f32 x x))))))
(+.f32 (log.f32 (/.f32 (+.f32 (.f32 x (.f32 x x)) (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 3/2 binary32))) (-.f32 (.f32 x (.f32 x (.f32 x x))) (pow.f32 (+.f32 #s(literal -1 binary32) (.f32 x (-.f32 x (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (log.f32 (-.f32 (.f32 x x) (+.f32 #s(literal -1 binary32) (.f32 x (-.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))))))
(+.f32 (log.f32 (/.f32 (+.f32 (.f32 x x) (-.f32 #s(literal 1 binary32) (.f32 x x))) (-.f32 (.f32 x (.f32 x x)) (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 3/2 binary32))))) (log.f32 (+.f32 (+.f32 (.f32 x x) (+.f32 (.f32 x x) #s(literal -1 binary32))) (.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))))
(-.f32 #s(literal 0 binary32) (neg.f32 (log.f32 (+.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)))) #s(literal 1 binary32))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)) x) (+.f32 (.f32 x x) (-.f32 #s(literal -1 binary32) (*.f32 x x))))))
(-.f32 (log.f32 (+.f32 (.f32 x (.f32 x x)) (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 3/2 binary32)))) (log.f32 (+.f32 (.f32 x x) (+.f32 #s(literal -1 binary32) (.f32 x (-.f32 x (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))))))
(-.f32 (log.f32 (+.f32 (.f32 x x) (-.f32 #s(literal 1 binary32) (.f32 x x)))) (log.f32 (-.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)))))
(-.f32 (log.f32 (.f32 (+.f32 (.f32 x x) (+.f32 (.f32 x x) #s(literal -1 binary32))) (+.f32 (.f32 x x) (-.f32 #s(literal 1 binary32) (.f32 x x))))) (log.f32 (.f32 (-.f32 x (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))) (+.f32 (.f32 x x) (+.f32 (*.f32 x x) #s(literal -1 binary32))))))
(-.f32 (log.f32 (+.f32 (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)))) (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 9/2 binary32)))) (log.f32 (.f32 (+.f32 (.f32 x x) (+.f32 #s(literal -1 binary32) (.f32 x (-.f32 x (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)))))) (+.f32 (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))) (-.f32 (.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) (.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) (+.f32 (.f32 x x) #s(literal -1 binary32)))) (.f32 (.f32 x (.f32 x x)) (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 3/2 binary32))))))))
(-.f32 (log.f32 (-.f32 (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))) (.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) (.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) (+.f32 (.f32 x x) #s(literal -1 binary32)))))) (log.f32 (.f32 (+.f32 (.f32 x x) (+.f32 #s(literal -1 binary32) (.f32 x (-.f32 x (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)))))) (-.f32 (.f32 x (.f32 x x)) (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 3/2 binary32))))))
(-.f32 (log.f32 (-.f32 (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))) (.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) (.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) (+.f32 (.f32 x x) #s(literal -1 binary32)))))) (log.f32 (.f32 (-.f32 x (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))) (+.f32 (.f32 x (.f32 x (.f32 x x))) (.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) (+.f32 (.f32 x x) (+.f32 (*.f32 x x) #s(literal -1 binary32))))))))
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(/.f32 (-.f32 (pow.f32 (/.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 (.f32 x x) #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (.f32 x x) #s(literal 1 binary32))) #s(literal 3 binary32))) (+.f32 (.f32 (/.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 (.f32 x x) #s(literal 1 binary32))) (/.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 (.f32 x x) #s(literal 1 binary32)))) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (.f32 x x) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (.f32 x x) #s(literal 1 binary32)))) (.f32 (/.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 (.f32 x x) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) #s(literal 1 binary32)))))))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))) (+.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 x x)))))) (/.f32 (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))) (+.f32 (.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 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 x x)))))) (/.f32 #s(literal 1 binary32) (+.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 x x)))))))) (+.f32 (/.f32 (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))) (+.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 x x)))))) (/.f32 #s(literal 1 binary32) (+.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (*.f32 x x))))))))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 (.f32 x x) #s(literal 1 binary32))) (/.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 (.f32 x x) #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (.f32 x x) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (.f32 x x) #s(literal 1 binary32))))) (+.f32 (/.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 (.f32 x x) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
(/.f32 (.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) (+.f32 x #s(literal 1 binary32))) (+.f32 x #s(literal 1 binary32)))
(/.f32 (.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) (+.f32 x #s(literal -1 binary32))) (+.f32 x #s(literal -1 binary32)))
(/.f32 (.f32 (+.f32 x #s(literal -1 binary32)) (+.f32 (.f32 x x) #s(literal -1 binary32))) (+.f32 x #s(literal -1 binary32)))
(/.f32 (.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 (.f32 x x) #s(literal -1 binary32))) (+.f32 x #s(literal 1 binary32)))
(/.f32 (.f32 (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal -1 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)))) #s(literal 1/2 binary32))) (pow.f32 (+.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (*.f32 x x))))) #s(literal 1/2 binary32)))
(/.f32 (.f32 (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x (*.f32 x x)))) #s(literal 1/2 binary32))) (hypot.f32 #s(literal 1 binary32) x))
(/.f32 (.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 (.f32 x (.f32 x x)) #s(literal -1 binary32))) (+.f32 (.f32 x x) (+.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 (.f32 x x) (-.f32 #s(literal 1 binary32) x)))
(/.f32 (.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)))) #s(literal 1/2 binary32)) (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))) (pow.f32 (+.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (*.f32 x x))))) #s(literal 1/2 binary32)))
(/.f32 (.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x (.f32 x x)))) #s(literal 1/2 binary32)) (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))) (hypot.f32 #s(literal 1 binary32) x))
(/.f32 (.f32 (+.f32 (.f32 (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))) (.f32 (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 x x))))))) (+.f32 (.f32 (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))))))
(/.f32 (.f32 (+.f32 (.f32 (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 x x))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 x (*.f32 x x)))))
(/.f32 (.f32 (+.f32 (.f32 (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (.f32 x x) #s(literal 1 binary32)))) (+.f32 (.f32 (.f32 x x) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)))) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (*.f32 x x))))))
(/.f32 (.f32 (+.f32 (.f32 (.f32 x x) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (.f32 x x) #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 x x)))))
(/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x x))) (+.f32 x #s(literal -1 binary32))) (+.f32 (.f32 x x) (-.f32 #s(literal 1 binary32) x)))
(/.f32 (.f32 (+.f32 (.f32 x (.f32 x x)) #s(literal -1 binary32)) (+.f32 x #s(literal 1 binary32))) (+.f32 (.f32 x x) (+.f32 x #s(literal 1 binary32))))
(sqrt.f32 (.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) (+.f32 (*.f32 x x) #s(literal -1 binary32))))
(.f32 #s(literal 1 binary32) (+.f32 (.f32 x x) #s(literal -1 binary32)))
(.f32 (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 (+.f32 #s(literal -1 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)))) (/.f32 #s(literal 1 binary32) (+.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 x x)))))))
(.f32 (+.f32 #s(literal -1 binary32) (.f32 (.f32 x (.f32 x 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 (*.f32 x x) #s(literal -1 binary32))))))
(.f32 (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x (.f32 x x)))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) #s(literal 1 binary32))))
(.f32 (+.f32 (.f32 x x) #s(literal 1 binary32)) (.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
(.f32 (+.f32 (.f32 x x) #s(literal 1 binary32)) (/.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) (+.f32 (.f32 x x) #s(literal 1 binary32))))
(*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32)))
(*.f32 (+.f32 x #s(literal -1 binary32)) (+.f32 x #s(literal 1 binary32)))
(.f32 (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32)) (.f32 (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
(.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))))) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 x x))))))))
(.f32 (.f32 (+.f32 (.f32 x x) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 x x))) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 x x)))))) (+.f32 #s(literal -1 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)))))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (.f32 x x) #s(literal 1 binary32))) (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x (*.f32 x x)))))
(.f32 (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 1/4 binary32)) (.f32 (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
(*.f32 (pow.f32 (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1/2 binary32)) #s(literal 2 binary32)))
(.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)))) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 x x)))))) #s(literal 1 binary32)))
(.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x (.f32 x x)))) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) #s(literal 1 binary32))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1 binary32)) (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1 binary32)) (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1 binary32)))
(.f32 (/.f32 (+.f32 (.f32 x x) #s(literal 1 binary32)) (+.f32 (.f32 x x) #s(literal 1 binary32))) (+.f32 (.f32 x x) #s(literal -1 binary32)))
(.f32 (.f32 (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32))) (*.f32 (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1/2 binary32))))
(.f32 (.f32 (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 1/4 binary32))) (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/4 binary32)))
(.f32 (.f32 (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32))) (pow.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1/2 binary32)))
(.f32 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x (.f32 x x)))) (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x (.f32 x x))))) (+.f32 (.f32 x x) #s(literal -1 binary32)))
(.f32 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)))) (+.f32 (.f32 (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)))) (.f32 (+.f32 (.f32 x x) #s(literal 1 binary32)) (.f32 (+.f32 (.f32 x x) #s(literal 1 binary32)) (+.f32 (.f32 x x) #s(literal 1 binary32)))))) (+.f32 (.f32 (.f32 x x) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)))) (.f32 (+.f32 (.f32 x x) #s(literal 1 binary32)) (-.f32 (+.f32 (.f32 x x) #s(literal 1 binary32)) (.f32 x (.f32 x (*.f32 x x)))))))
(.f32 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)))) (.f32 (+.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 x x))))) (-.f32 (.f32 (.f32 x x) (+.f32 (.f32 x x) #s(literal -1 binary32))) #s(literal 1 binary32)))) (-.f32 (.f32 (.f32 x x) (+.f32 (*.f32 x x) #s(literal -1 binary32))) #s(literal 1 binary32)))
(.f32 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x (.f32 x x)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 (.f32 x x) #s(literal -1 binary32)))))
(.f32 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x (.f32 x x)))) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 x x))))) (-.f32 #s(literal 1 binary32) (.f32 x x)))
(expm1.f32 (*.f32 #s(literal 2 binary32) (log.f32 x)))

simplify248.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

3240×	`-lowering-.f32`
3240×	`-lowering-.f64`
1854×	`+-lowering-+.f64`
1854×	`+-lowering-+.f32`
1282×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	150	548
1	432	457
2	1373	445
3	4237	434
0	8342	434

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* -1 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))

Outputs
(log (sqrt -1))
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 x (sqrt.f32 #s(literal -1 binary32))))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (.f32 x (+.f32 (/.f32 (.f32 (*.f32 x x) #s(literal 1/6 binary32)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (.f32 x (+.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (.f32 (.f32 x x) (+.f32 (/.f32 (.f32 (*.f32 x x) #s(literal 3/40 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 x) (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -3/32 binary32) (.f32 x x))) (.f32 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (-.f32 (log.f32 x) (/.f32 (+.f32 #s(literal 3/32 binary32) (/.f32 #s(literal 5/96 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
(+ (log -1/2) (log (/ -1 x)))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (/.f32 #s(literal 3/32 binary32) (.f32 x (.f32 x (.f32 x x)))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x (.f32 x (.f32 x x)))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (log.f32 #s(literal -1/2 binary32))))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ x (sqrt -1))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) x)
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x #s(literal 1/2 binary32)) (sqrt.f32 #s(literal -1 binary32))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 (/.f32 (.f32 (.f32 x x) #s(literal 1/8 binary32)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))))))))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(+.f32 (.f32 x #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) x))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(+.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(/.f32 (+.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) (/.f32 (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 5/128 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x))))) x)
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (.f32 (.f32 x x) #s(literal 1/2 binary32)) (sqrt.f32 #s(literal -1 binary32))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (.f32 x x) (+.f32 (/.f32 (.f32 (.f32 x x) #s(literal 1/8 binary32)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))))))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (.f32 x x) (+.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (.f32 x (.f32 x (+.f32 (/.f32 (.f32 (.f32 x x) #s(literal 1/16 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/8 binary32) (sqrt.f32 #s(literal -1 binary32)))))))))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(+.f32 x (*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(-.f32 x (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(+.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))
(* -1 x)
(neg.f32 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x))) x)
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(-.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x) x)
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
(-.f32 (.f32 x (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)))
-1
#s(literal -1 binary32)
(- (pow x 2) 1)
(+.f32 #s(literal -1 binary32) (*.f32 x x))
(- (pow x 2) 1)
(+.f32 #s(literal -1 binary32) (*.f32 x x))
(- (pow x 2) 1)
(+.f32 #s(literal -1 binary32) (*.f32 x x))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f32 #s(literal -1 binary32) (*.f32 x x))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f32 #s(literal -1 binary32) (*.f32 x x))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f32 #s(literal -1 binary32) (*.f32 x x))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f32 #s(literal -1 binary32) (*.f32 x x))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f32 #s(literal -1 binary32) (*.f32 x x))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f32 #s(literal -1 binary32) (*.f32 x x))

eval34.0ms (0.4%)

Compiler: Compiled 10042 to 1333 computations (86.7% saved)

prune89.0ms (0.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	306	10	316
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	306	11	317

Accuracy

100.0%

Counts

317 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.7%	(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
▶	98.5%	(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) x)))
▶	98.0%	(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x))))
▶	98.7%	(log.f32 (+.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))))
	55.4%	(log.f32 (+.f32 x (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) #s(literal -1 binary32)))))))
	98.4%	(log.f32 (+.f32 x (-.f32 x (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x))))
	98.7%	(log.f32 (+.f32 x (+.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))))
	98.0%	(log.f32 (+.f32 x (+.f32 x (*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)))))
✓	55.4%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
	55.4%	(log.f32 (+.f32 x (sqrt.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))))
▶	96.8%	(log.f32 (+.f32 x x))

Compiler

Compiled 300 to 209 computations (30.3% saved)

simplify222.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f32 x)
✓	cost-diff	0	(log.f32 #s(literal 2 binary32))
✓	cost-diff	0	(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
✓	cost-diff	0	(/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)
✓	cost-diff	0	(*.f32 x #s(literal 2 binary32))
✓	cost-diff	0	(+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) x))
✓	cost-diff	0	(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) x)))
✓	cost-diff	0	(*.f32 x #s(literal 2 binary32))
✓	cost-diff	64	(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x))
✓	cost-diff	64	(+.f32 (.f32 x #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)))
✓	cost-diff	64	(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x))))
✓	cost-diff	0	(+.f32 x x)
✓	cost-diff	0	(log.f32 (+.f32 x x))
✓	cost-diff	64	(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x))))))
✓	cost-diff	64	(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x))
✓	cost-diff	128	(+.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))
✓	cost-diff	128	(log.f32 (+.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))))

Rules

1972×	`-lowering-.f32`
1972×	`-lowering-.f64`
1808×	`sum3-define`
1288×	`fma-lowering-fma.f32`
1288×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	31	210
1	71	196
2	164	196
3	351	196
4	846	193
5	1948	193
6	4369	193
0	8160	193

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(log (+ (* 1 (/ -1/2 x)) (* x (+ 2 (/ (- -1/8 (/ 1/16 (* x x))) (* x (* x (* x x))))))))
(+ (* 1 (/ -1/2 x)) (* x (+ 2 (/ (- -1/8 (/ 1/16 (* x x))) (* x (* x (* x x)))))))
(* 1 (/ -1/2 x))
1
(/ -1/2 x)
-1/2
x
(* x (+ 2 (/ (- -1/8 (/ 1/16 (* x x))) (* x (* x (* x x))))))
(+ 2 (/ (- -1/8 (/ 1/16 (* x x))) (* x (* x (* x x)))))
2
(/ (- -1/8 (/ 1/16 (* x x))) (* x (* x (* x x))))
(- -1/8 (/ 1/16 (* x x)))
-1/8
(/ 1/16 (* x x))
1/16
(* x x)
(* x (* x (* x x)))
(* x (* x x))
(log (+ x x))
(+ x x)
x
(log (+ (* x 2) (* 1 (/ -1/2 x))))
(+ (* x 2) (* 1 (/ -1/2 x)))
(* x 2)
x
2
(* 1 (/ -1/2 x))
1
(/ -1/2 x)
-1/2
(log (+ (* x 2) (/ (+ -1/2 (/ -1/8 (* x x))) x)))
(+ (* x 2) (/ (+ -1/2 (/ -1/8 (* x x))) x))
(* x 2)
x
2
(/ (+ -1/2 (/ -1/8 (* x x))) x)
(+ -1/2 (/ -1/8 (* x x)))
-1/2
(/ -1/8 (* x x))
-1/8
(* x x)
(+ (log 2) (log x))
(log 2)
2
(log x)
x

Outputs
(log (+ (* 1 (/ -1/2 x)) (* x (+ 2 (/ (- -1/8 (/ 1/16 (* x x))) (* x (* x (* x x))))))))
(log.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x #s(literal 2 binary32))) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x)))))
(+ (* 1 (/ -1/2 x)) (* x (+ 2 (/ (- -1/8 (/ 1/16 (* x x))) (* x (* x (* x x)))))))
(+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x #s(literal 2 binary32))) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x))))
(* 1 (/ -1/2 x))
(/.f32 #s(literal -1/2 binary32) x)
1
#s(literal 1 binary32)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
-1/2
#s(literal -1/2 binary32)
x
(* x (+ 2 (/ (- -1/8 (/ 1/16 (* x x))) (* x (* x (* x x))))))
(+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x))))
(+ 2 (/ (- -1/8 (/ 1/16 (* x x))) (* x (* x (* x x)))))
(+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))
2
#s(literal 2 binary32)
(/ (- -1/8 (/ 1/16 (* x x))) (* x (* x (* x x))))
(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))
(- -1/8 (/ 1/16 (* x x)))
(+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x)))
-1/8
#s(literal -1/8 binary32)
(/ 1/16 (* x x))
(/.f32 #s(literal 1/16 binary32) (*.f32 x x))
1/16
#s(literal 1/16 binary32)
(* x x)
(*.f32 x x)
(* x (* x (* x x)))
(.f32 x (.f32 x (*.f32 x x)))
(* x (* x x))
(.f32 x (.f32 x x))
(log (+ x x))
(log.f32 (*.f32 x #s(literal 2 binary32)))
(+ x x)
(*.f32 x #s(literal 2 binary32))
x
(log (+ (* x 2) (* 1 (/ -1/2 x))))
(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 x #s(literal 2 binary32))))
(+ (* x 2) (* 1 (/ -1/2 x)))
(+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 x #s(literal 2 binary32)))
(* x 2)
(*.f32 x #s(literal 2 binary32))
x
2
#s(literal 2 binary32)
(* 1 (/ -1/2 x))
(/.f32 #s(literal -1/2 binary32) x)
1
#s(literal 1 binary32)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
-1/2
#s(literal -1/2 binary32)
(log (+ (* x 2) (/ (+ -1/2 (/ -1/8 (* x x))) x)))
(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) x)))
(+ (* x 2) (/ (+ -1/2 (/ -1/8 (* x x))) x))
(+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) x))
(* x 2)
(*.f32 x #s(literal 2 binary32))
x
2
#s(literal 2 binary32)
(/ (+ -1/2 (/ -1/8 (* x x))) x)
(/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)
(+ -1/2 (/ -1/8 (* x x)))
(+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x)))
-1/2
#s(literal -1/2 binary32)
(/ -1/8 (* x x))
(/.f32 #s(literal -1/8 binary32) (*.f32 x x))
-1/8
#s(literal -1/8 binary32)
(* x x)
(*.f32 x x)
(+ (log 2) (log x))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(log 2)
(log.f32 #s(literal 2 binary32))
2
#s(literal 2 binary32)
(log x)
(log.f32 x)
x

localize205.0ms (2.2%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f32 x)
✓	accuracy	100.0%	(log.f32 #s(literal 2 binary32))
✓	accuracy	99.1%	(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
✓	accuracy	100.0%	(+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) x))
✓	accuracy	99.9%	(/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)
✓	accuracy	99.2%	(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) x)))
✓	accuracy	97.5%	(/.f32 #s(literal -1/8 binary32) (*.f32 x x))
✓	accuracy	100.0%	(+.f32 (.f32 x #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)))
✓	accuracy	100.0%	(*.f32 x #s(literal 2 binary32))
✓	accuracy	100.0%	(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x))
✓	accuracy	99.2%	(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x))))
✓	accuracy	100.0%	(+.f32 x x)
✓	accuracy	99.3%	(log.f32 (+.f32 x x))
✓	accuracy	99.7%	(.f32 x (.f32 x x))
✓	accuracy	99.2%	(log.f32 (+.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))))
✓	accuracy	98.2%	(/.f32 (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))
✓	accuracy	97.7%	(/.f32 #s(literal 1/16 binary32) (*.f32 x x))

Results

89.0ms

256×

valid

Compiler

Compiled 256 to 32 computations (87.5% saved)

Precisions

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

ival-log: 16.0ms (30.9% of total)

ival-add: 13.0ms (25.1% of total)

ival-div: 11.0ms (21.3% of total)

ival-mult: 10.0ms (19.3% of total)

ival-sub: 1.0ms (1.9% of total)

const: 1.0ms (1.9% of total)

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

series164.0ms (1.7%)

Counts

19 → 216

Calls

Call 1

Inputs
#<alt (log (+ (* 1 (/ -1/2 x)) (* x (+ 2 (/ (- -1/8 (/ 1/16 (* x x))) (* x (* x (* x x))))))))>
#<alt (+ (* 1 (/ -1/2 x)) (* x (+ 2 (/ (- -1/8 (/ 1/16 (* x x))) (* x (* x (* x x)))))))>
#<alt (* 1 (/ -1/2 x))>
#<alt (* x (+ 2 (/ (- -1/8 (/ 1/16 (* x x))) (* x (* x (* x x))))))>
#<alt (log (+ x x))>
#<alt (+ x x)>
#<alt (log (+ (* x 2) (* 1 (/ -1/2 x))))>
#<alt (+ (* x 2) (* 1 (/ -1/2 x)))>
#<alt (* x 2)>
#<alt (log (+ (* x 2) (/ (+ -1/2 (/ -1/8 (* x x))) x)))>
#<alt (+ (* x 2) (/ (+ -1/2 (/ -1/8 (* x x))) x))>
#<alt (/ (+ -1/2 (/ -1/8 (* x x))) x)>
#<alt (+ (log 2) (log x))>
#<alt (log 2)>
#<alt (log x)>
#<alt (/ 1/16 (* x x))>
#<alt (/ (- -1/8 (/ 1/16 (* x x))) (* x (* x (* x x))))>
#<alt (* x (* x x))>
#<alt (/ -1/8 (* x x))>

Outputs
#<alt (+ (log -1/16) (* -5 (log x)))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 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)>
#<alt (* 2 x)>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 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)>
#<alt (+ (log -1/8) (* -3 (log x)))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* 4 (pow x 2))))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* -24 (pow x 2))))))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 256/3 (pow x 2)) 24))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))>
#<alt (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))>
#<alt (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))>
#<alt (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (/ 1/16 (pow x 2))>
#<alt (/ 1/16 (pow x 2))>
#<alt (/ 1/16 (pow x 2))>
#<alt (/ 1/16 (pow x 2))>
#<alt (/ 1/16 (pow x 2))>
#<alt (/ 1/16 (pow x 2))>
#<alt (/ 1/16 (pow x 2))>
#<alt (/ 1/16 (pow x 2))>
#<alt (/ 1/16 (pow x 2))>
#<alt (/ 1/16 (pow x 2))>
#<alt (/ 1/16 (pow x 2))>
#<alt (/ 1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ -1/8 (pow x 4))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (/ -1/8 (pow x 4))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>

Calls

54 calls:

Time	Variable		Point	Expression
46.0ms	x	@	-inf	(+ (log 2) (log x))
46.0ms	x	@	0	(+ (log 2) (log x))
26.0ms	x	@	0	(log (+ x x))
20.0ms	x	@	-inf	(log (+ x x))
8.0ms	x	@	inf	(log (+ x x))

rewrite443.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2938×	`/-lowering-/.f32`
2938×	`/-lowering-/.f64`
2366×	`fma-lowering-fma.f32`
2366×	`fma-lowering-fma.f64`
2082×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	143
1	198	123
2	2294	120
0	8528	120

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 1602

Calls

Call 1

Inputs
(log (+ (* 1 (/ -1/2 x)) (* x (+ 2 (/ (- -1/8 (/ 1/16 (* x x))) (* x (* x (* x x))))))))
(+ (* 1 (/ -1/2 x)) (* x (+ 2 (/ (- -1/8 (/ 1/16 (* x x))) (* x (* x (* x x)))))))
(* 1 (/ -1/2 x))
(* x (+ 2 (/ (- -1/8 (/ 1/16 (* x x))) (* x (* x (* x x))))))
(log (+ x x))
(+ x x)
(log (+ (* x 2) (* 1 (/ -1/2 x))))
(+ (* x 2) (* 1 (/ -1/2 x)))
(* x 2)
(log (+ (* x 2) (/ (+ -1/2 (/ -1/8 (* x x))) x)))
(+ (* x 2) (/ (+ -1/2 (/ -1/8 (* x x))) x))
(/ (+ -1/2 (/ -1/8 (* x x))) x)
(+ (log 2) (log x))
(log 2)
(log x)
(/ 1/16 (* x x))
(/ (- -1/8 (/ 1/16 (* x x))) (* x (* x (* x x))))
(* x (* x x))
(/ -1/8 (* x x))

Outputs
(neg.f32 (log.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (-.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (/.f32 #s(literal -1/2 binary32) x)))) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x))) (.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x))))))))))))
(neg.f32 (log.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) (.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))))))
(+.f32 (log.f32 x) (log.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))
(+.f32 (log.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x))) (.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (-.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))) (/.f32 #s(literal -1/2 binary32) x)))))))
(+.f32 (log.f32 (.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))))))
(+.f32 (log.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (log.f32 x))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (-.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (/.f32 #s(literal -1/2 binary32) x)))) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x))) (.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x))))))))))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) (.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))))))
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(.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) (pow.f32 (/.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x)))) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (/.f32 (.f32 x (.f32 x x)) (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x)))) #s(literal -1 binary32)))
(.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) x) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 x x))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 x (.f32 x x))) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) x))
(.f32 (pow.f32 (/.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal -1/512 binary32) (/.f32 #s(literal -1/4096 binary32) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x))))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/64 binary32) (.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x)))))))
(.f32 (pow.f32 (/.f32 (.f32 x (.f32 x (.f32 x x))) (-.f32 #s(literal 1/64 binary32) (/.f32 #s(literal 1/256 binary32) (.f32 x (.f32 x (.f32 x x)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x)))))
(exp.f32 (*.f32 (log.f32 x) #s(literal 3 binary32)))
(pow.f32 x #s(literal 3 binary32))
(pow.f32 (*.f32 x x) #s(literal 3/2 binary32))
(pow.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 2 binary32))
(pow.f32 (exp.f32 (log.f32 x)) #s(literal 3 binary32))
(.f32 x (.f32 x x))
(.f32 (.f32 x x) x)
(*.f32 (pow.f32 x #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3/2 binary32)))
(neg.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)))
(exp.f32 (.f32 (log.f32 (/.f32 (.f32 x x) #s(literal -1/8 binary32))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (*.f32 x x) #s(literal -1/8 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (*.f32 x x) #s(literal -1/8 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 x (/.f32 #s(literal -1/8 binary32) x)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) #s(literal -1/8 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x x) #s(literal -1/8 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal -1/8 binary32) x)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (*.f32 x x) #s(literal -1/8 binary32)))))
(/.f32 #s(literal -1/8 binary32) (*.f32 x x))
(/.f32 #s(literal -1/8 binary32) (neg.f32 (neg.f32 (*.f32 x x))))
(/.f32 #s(literal 1/8 binary32) (neg.f32 (*.f32 x x)))
(/.f32 #s(literal 1/8 binary32) (neg.f32 (neg.f32 (neg.f32 (*.f32 x x)))))
(/.f32 (/.f32 #s(literal -1/8 binary32) x) x)
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 x x) #s(literal -1/8 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (*.f32 x x) #s(literal -1/8 binary32)) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 x (/.f32 #s(literal -1/8 binary32) x))))
(/.f32 (neg.f32 (/.f32 #s(literal -1/8 binary32) x)) (neg.f32 x))
(/.f32 (neg.f32 (neg.f32 (/.f32 #s(literal -1/8 binary32) x))) (neg.f32 (neg.f32 x)))
(.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x)))
(.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x)))
(.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (.f32 x x))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) #s(literal -1/8 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/8 binary32) x))
(*.f32 (/.f32 #s(literal -1/8 binary32) x) (/.f32 #s(literal 1 binary32) x))

simplify258.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

2510×	`fma-lowering-fma.f32`
2510×	`fma-lowering-fma.f64`
2088×	`+-lowering-+.f64`
2088×	`+-lowering-+.f32`
2048×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	233	1806
1	662	1555
2	2095	1519
3	6070	1519
0	8016	1519

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

Inputs
(+ (log -1/16) (* -5 (log x)))
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))
(* 2 x)
(* x (- 2 (* 1/8 (/ 1 (pow x 4)))))
(* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(* 2 x)
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/2 x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 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)
(+ (log -1/8) (* -3 (log x)))
(+ (log -1/8) (+ (* -3 (log x)) (* 4 (pow x 2))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* -24 (pow x 2))))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 256/3 (pow x 2)) 24))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/8 (pow x 3))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(/ -1/8 (pow x 3))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(log x)
(log x)
(log x)
(log x)
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(/ 1/16 (pow x 2))
(/ 1/16 (pow x 2))
(/ 1/16 (pow x 2))
(/ 1/16 (pow x 2))
(/ 1/16 (pow x 2))
(/ 1/16 (pow x 2))
(/ 1/16 (pow x 2))
(/ 1/16 (pow x 2))
(/ 1/16 (pow x 2))
(/ 1/16 (pow x 2))
(/ 1/16 (pow x 2))
(/ 1/16 (pow x 2))
(/ -1/16 (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ -1/8 (pow x 4))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/ -1/8 (pow x 4))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))

Outputs
(+ (log -1/16) (* -5 (log x)))
(+.f32 (log.f32 #s(literal -1/16 binary32)) (*.f32 #s(literal -5 binary32) (log.f32 x)))
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))
(+.f32 (log.f32 #s(literal -1/16 binary32)) (+.f32 (.f32 #s(literal -5 binary32) (log.f32 x)) (.f32 x (*.f32 x #s(literal 2 binary32)))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))
(+.f32 (log.f32 #s(literal -1/16 binary32)) (+.f32 (.f32 #s(literal -5 binary32) (log.f32 x)) (.f32 (.f32 x x) (+.f32 #s(literal 2 binary32) (.f32 (*.f32 x x) #s(literal 6 binary32))))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))
(+.f32 (+.f32 (log.f32 #s(literal -1/16 binary32)) (.f32 #s(literal -5 binary32) (log.f32 x))) (.f32 x (.f32 x (+.f32 #s(literal 2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 6 binary32) (.f32 (*.f32 x x) #s(literal -136/3 binary32))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (log.f32 x) (+.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 x) (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -3/32 binary32) (.f32 x x))) (.f32 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (log.f32 x) (+.f32 (/.f32 (+.f32 #s(literal -3/32 binary32) (/.f32 #s(literal -5/96 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))) (+.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(-.f32 (log.f32 #s(literal -2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(-.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -3/32 binary32) (.f32 x x))) (.f32 x x)) (log.f32 #s(literal -2 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (/.f32 (+.f32 #s(literal -3/32 binary32) (/.f32 #s(literal -5/96 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))) (-.f32 (log.f32 #s(literal -2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))))
(/ -1/16 (pow x 5))
(/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 5 binary32)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32))) (pow.f32 x #s(literal 5 binary32)))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x #s(literal -1/2 binary32))))))) (pow.f32 x #s(literal 5 binary32)))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)))))))) (pow.f32 x #s(literal 5 binary32)))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) (*.f32 x x))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(.f32 x (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(.f32 x (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))) (/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x (*.f32 x x))))))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
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(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(/ 1/16 (pow x 2))
(/.f32 #s(literal 1/16 binary32) (*.f32 x x))
(/ 1/16 (pow x 2))
(/.f32 #s(literal 1/16 binary32) (*.f32 x x))
(/ 1/16 (pow x 2))
(/.f32 #s(literal 1/16 binary32) (*.f32 x x))
(/ 1/16 (pow x 2))
(/.f32 #s(literal 1/16 binary32) (*.f32 x x))
(/ 1/16 (pow x 2))
(/.f32 #s(literal 1/16 binary32) (*.f32 x x))
(/ 1/16 (pow x 2))
(/.f32 #s(literal 1/16 binary32) (*.f32 x x))
(/ 1/16 (pow x 2))
(/.f32 #s(literal 1/16 binary32) (*.f32 x x))
(/ 1/16 (pow x 2))
(/.f32 #s(literal 1/16 binary32) (*.f32 x x))
(/ 1/16 (pow x 2))
(/.f32 #s(literal 1/16 binary32) (*.f32 x x))
(/ 1/16 (pow x 2))
(/.f32 #s(literal 1/16 binary32) (*.f32 x x))
(/ 1/16 (pow x 2))
(/.f32 #s(literal 1/16 binary32) (*.f32 x x))
(/ 1/16 (pow x 2))
(/.f32 #s(literal 1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 6))
(/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32))) (pow.f32 x #s(literal 6 binary32)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32))) (pow.f32 x #s(literal 6 binary32)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32))) (pow.f32 x #s(literal 6 binary32)))
(/ -1/8 (pow x 4))
(/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x (*.f32 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))
(/ -1/8 (pow x 4))
(/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x (*.f32 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(/ -1/8 (pow x 2))
(/.f32 #s(literal -1/8 binary32) (*.f32 x x))
(/ -1/8 (pow x 2))
(/.f32 #s(literal -1/8 binary32) (*.f32 x x))
(/ -1/8 (pow x 2))
(/.f32 #s(literal -1/8 binary32) (*.f32 x x))
(/ -1/8 (pow x 2))
(/.f32 #s(literal -1/8 binary32) (*.f32 x x))
(/ -1/8 (pow x 2))
(/.f32 #s(literal -1/8 binary32) (*.f32 x x))
(/ -1/8 (pow x 2))
(/.f32 #s(literal -1/8 binary32) (*.f32 x x))
(/ -1/8 (pow x 2))
(/.f32 #s(literal -1/8 binary32) (*.f32 x x))
(/ -1/8 (pow x 2))
(/.f32 #s(literal -1/8 binary32) (*.f32 x x))
(/ -1/8 (pow x 2))
(/.f32 #s(literal -1/8 binary32) (*.f32 x x))
(/ -1/8 (pow x 2))
(/.f32 #s(literal -1/8 binary32) (*.f32 x x))
(/ -1/8 (pow x 2))
(/.f32 #s(literal -1/8 binary32) (*.f32 x x))
(/ -1/8 (pow x 2))
(/.f32 #s(literal -1/8 binary32) (*.f32 x x))

eval233.0ms (2.4%)

Compiler: Compiled 51768 to 4311 computations (91.7% saved)

prune261.0ms (2.7%)

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	2137	11	2148
Fresh	3	2	5
Picked	2	3	5
Done	0	1	1
Total	2142	17	2159

Accuracy

100.0%

Counts

2159 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.7%	(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
▶	54.6%	(log.f32 (/.f32 (-.f32 (.f32 (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x))
	54.7%	(log.f32 (/.f32 (-.f32 (.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (-.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))) (/.f32 #s(literal -1/2 binary32) x))))
▶	54.1%	(log.f32 (/.f32 (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)) x))
	98.7%	(log.f32 (-.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))) (/.f32 #s(literal 1/2 binary32) x)))
	98.4%	(log.f32 (+.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x) x) x))
	98.0%	(log.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x) x))
✓	98.5%	(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) x)))
▶	98.0%	(log.f32 (+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x)))
▶	54.7%	(log.f32 (+.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) (.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x))))))))))))
	55.4%	(log.f32 (+.f32 x (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) #s(literal -1 binary32)))))))
✓	55.4%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
	55.4%	(log.f32 (+.f32 x (sqrt.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))))
✓	96.8%	(log.f32 (+.f32 x x))
▶	98.7%	(log.f32 (.f32 x (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))
	98.5%	(log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) (*.f32 x x)))))
	98.0%	(log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x)))))

Compiler

Compiled 670 to 342 computations (49% saved)

simplify184.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	1536	(/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) (.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))))
✓	cost-diff	1664	(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) (.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))))))
✓	cost-diff	1728	(+.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) (.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))))))))
✓	cost-diff	1728	(log.f32 (+.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) (.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x))))))))))))
✓	cost-diff	64	(.f32 (+.f32 (.f32 x (*.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)) #s(literal 1 binary32))
✓	cost-diff	64	(-.f32 (.f32 (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (.f32 x x)))
✓	cost-diff	64	(/.f32 (-.f32 (.f32 (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x)
✓	cost-diff	64	(log.f32 (/.f32 (-.f32 (.f32 (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x))
✓	cost-diff	0	(.f32 x (.f32 x #s(literal 2 binary32)))
✓	cost-diff	0	(+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32))
✓	cost-diff	0	(/.f32 (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)) x)
✓	cost-diff	0	(log.f32 (/.f32 (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)) x))
✓	cost-diff	0	(/.f32 #s(literal -1/2 binary32) x)
✓	cost-diff	0	(*.f32 x #s(literal 2 binary32))
✓	cost-diff	0	(+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x))
✓	cost-diff	0	(log.f32 (+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x)))
✓	cost-diff	0	(+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))
✓	cost-diff	0	(+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))
✓	cost-diff	128	(.f32 x (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))
✓	cost-diff	128	(log.f32 (.f32 x (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))

Rules

4574×	`-lowering-.f32`
4574×	`-lowering-.f64`
1808×	`/-lowering-/.f32`
1808×	`/-lowering-/.f64`
1208×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	561
1	112	509
2	333	396
3	1313	382
0	8597	382

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(log (* x (+ (+ 2 (/ -1/2 (* x x))) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))
(* x (+ (+ 2 (/ -1/2 (* x x))) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))
x
(+ (+ 2 (/ -1/2 (* x x))) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))
(+ 2 (/ -1/2 (* x x)))
2
(/ -1/2 (* x x))
-1/2
(* x x)
(/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))
(+ -1/8 (/ -1/16 (* x x)))
-1/8
(/ -1/16 (* x x))
-1/16
(* x (* x (* x x)))
(* x (* x x))
(log (+ (* x 2) (/ -1/2 x)))
(+ (* x 2) (/ -1/2 x))
(* x 2)
x
2
(/ -1/2 x)
-1/2
(log (/ (+ (* x (* x 2)) -1/2) x))
(/ (+ (* x (* x 2)) -1/2) x)
(+ (* x (* x 2)) -1/2)
(* x (* x 2))
x
(* x 2)
2
-1/2
(log (/ (- (* (+ (* x (* x 2)) -1/2) 1) (/ 1/8 (* x x))) x))
(/ (- (* (+ (* x (* x 2)) -1/2) 1) (/ 1/8 (* x x))) x)
(- (* (+ (* x (* x 2)) -1/2) 1) (/ 1/8 (* x x)))
(* (+ (* x (* x 2)) -1/2) 1)
(+ (* x (* x 2)) -1/2)
(* x (* x 2))
x
(* x 2)
2
-1/2
1
(/ 1/8 (* x x))
1/8
(* x x)
(log (+ (* 1 (/ -1/2 x)) (/ 1 (/ (- (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (* (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (- (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))))))))
(+ (* 1 (/ -1/2 x)) (/ 1 (/ (- (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (* (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (- (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))))))
(* 1 (/ -1/2 x))
1
(/ -1/2 x)
-1/2
x
(/ 1 (/ (- (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (* (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (- (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))))))
(/ (- (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (* (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (- (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))))
(- (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))
(* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))
(+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))
2
(/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))
(+ -1/8 (/ -1/16 (* x x)))
-1/8
(/ -1/16 (* x x))
-1/16
(* x x)
(* x (* x (* x x)))
(* x (* x x))
(* (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (- (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))))

Outputs
(log (* x (+ (+ 2 (/ -1/2 (* x x))) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))
(log.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x))) (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x))))
(* x (+ (+ 2 (/ -1/2 (* x x))) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))
(+.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x))) (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x)))
x
(+ (+ 2 (/ -1/2 (* x x))) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))
(+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))
(+ 2 (/ -1/2 (* x x)))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))
2
#s(literal 2 binary32)
(/ -1/2 (* x x))
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
-1/2
#s(literal -1/2 binary32)
(* x x)
(*.f32 x x)
(/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))
(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))
(+ -1/8 (/ -1/16 (* x x)))
(+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x)))
-1/8
#s(literal -1/8 binary32)
(/ -1/16 (* x x))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
-1/16
#s(literal -1/16 binary32)
(* x (* x (* x x)))
(.f32 x (.f32 x (*.f32 x x)))
(* x (* x x))
(.f32 x (.f32 x x))
(log (+ (* x 2) (/ -1/2 x)))
(log.f32 (+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x)))
(+ (* x 2) (/ -1/2 x))
(+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x))
(* x 2)
(*.f32 x #s(literal 2 binary32))
x
2
#s(literal 2 binary32)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
-1/2
#s(literal -1/2 binary32)
(log (/ (+ (* x (* x 2)) -1/2) x))
(log.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (.f32 x (.f32 x #s(literal 2 binary32)))) x))
(/ (+ (* x (* x 2)) -1/2) x)
(/.f32 (+.f32 #s(literal -1/2 binary32) (.f32 x (.f32 x #s(literal 2 binary32)))) x)
(+ (* x (* x 2)) -1/2)
(+.f32 #s(literal -1/2 binary32) (.f32 x (.f32 x #s(literal 2 binary32))))
(* x (* x 2))
(.f32 x (.f32 x #s(literal 2 binary32)))
x
(* x 2)
(*.f32 x #s(literal 2 binary32))
2
#s(literal 2 binary32)
-1/2
#s(literal -1/2 binary32)
(log (/ (- (* (+ (* x (* x 2)) -1/2) 1) (/ 1/8 (* x x))) x))
(log.f32 (/.f32 (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x)))) x))
(/ (- (* (+ (* x (* x 2)) -1/2) 1) (/ 1/8 (* x x))) x)
(/.f32 (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x)))) x)
(- (* (+ (* x (* x 2)) -1/2) 1) (/ 1/8 (* x x)))
(+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))))
(* (+ (* x (* x 2)) -1/2) 1)
(+.f32 #s(literal -1/2 binary32) (.f32 x (.f32 x #s(literal 2 binary32))))
(+ (* x (* x 2)) -1/2)
(+.f32 #s(literal -1/2 binary32) (.f32 x (.f32 x #s(literal 2 binary32))))
(* x (* x 2))
(.f32 x (.f32 x #s(literal 2 binary32)))
x
(* x 2)
(*.f32 x #s(literal 2 binary32))
2
#s(literal 2 binary32)
-1/2
#s(literal -1/2 binary32)
1
#s(literal 1 binary32)
(/ 1/8 (* x x))
(/.f32 #s(literal 1/8 binary32) (*.f32 x x))
1/8
#s(literal 1/8 binary32)
(* x x)
(*.f32 x x)
(log (+ (* 1 (/ -1/2 x)) (/ 1 (/ (- (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (* (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (- (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))))))))
(log.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x))) (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x))))
(+ (* 1 (/ -1/2 x)) (/ 1 (/ (- (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (* (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (- (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))))))
(+.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x))) (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x)))
(* 1 (/ -1/2 x))
(/.f32 #s(literal -1/2 binary32) x)
1
#s(literal 1 binary32)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
-1/2
#s(literal -1/2 binary32)
x
(/ 1 (/ (- (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (* (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (- (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))))))
(+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x))))
(/ (- (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (* (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (- (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))))
(/.f32 #s(literal 1 binary32) (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x)))))
(- (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))
(-.f32 (/.f32 #s(literal -1/2 binary32) x) (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x)))))
(* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))
(+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x))))
(+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))
(+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))
2
#s(literal 2 binary32)
(/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))
(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))
(+ -1/8 (/ -1/16 (* x x)))
(+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x)))
-1/8
#s(literal -1/8 binary32)
(/ -1/16 (* x x))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
-1/16
#s(literal -1/16 binary32)
(* x x)
(*.f32 x x)
(* x (* x (* x x)))
(.f32 x (.f32 x (*.f32 x x)))
(* x (* x x))
(.f32 x (.f32 x x))
(* (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (- (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))))
(.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x)))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (*.f32 x x))))))

localize242.0ms (2.5%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(log.f32 (+.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) (.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x))))))))))))
✓	accuracy	98.2%	(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))
✓	accuracy	97.7%	(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
✓	accuracy	58.6%	(/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) (.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))))
✓	accuracy	100.0%	(-.f32 (.f32 (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (.f32 x x)))
✓	accuracy	99.2%	(log.f32 (/.f32 (-.f32 (.f32 (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x))
✓	accuracy	97.5%	(/.f32 #s(literal 1/8 binary32) (*.f32 x x))
✓	accuracy	59.5%	(/.f32 (-.f32 (.f32 (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x)
✓	accuracy	100.0%	(.f32 x (.f32 x #s(literal 2 binary32)))
✓	accuracy	100.0%	(*.f32 x #s(literal 2 binary32))
✓	accuracy	99.2%	(log.f32 (/.f32 (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)) x))
✓	accuracy	59.5%	(/.f32 (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)) x)
✓	accuracy	100.0%	(/.f32 #s(literal -1/2 binary32) x)
✓	accuracy	100.0%	(+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x))
✓	accuracy	100.0%	(*.f32 x #s(literal 2 binary32))
✓	accuracy	99.2%	(log.f32 (+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x)))
✓	accuracy	99.2%	(log.f32 (.f32 x (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))
✓	accuracy	98.2%	(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))
✓	accuracy	97.7%	(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
✓	accuracy	97.1%	(/.f32 #s(literal -1/2 binary32) (*.f32 x x))

Results

130.0ms

256×

valid

Compiler

Compiled 728 to 41 computations (94.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-mult: 35.0ms (44.5% of total)

ival-div: 16.0ms (20.3% of total)

ival-log: 13.0ms (16.5% of total)

ival-add: 10.0ms (12.7% of total)

ival-sub: 2.0ms (2.5% of total)

const: 1.0ms (1.3% of total)

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

series12.0ms (0.1%)

Counts

24 → 288

Calls

Call 1

Inputs
#<alt (log (* x (+ (+ 2 (/ -1/2 (* x x))) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))>
#<alt (* x (+ (+ 2 (/ -1/2 (* x x))) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))>
#<alt (+ (+ 2 (/ -1/2 (* x x))) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))>
#<alt (+ 2 (/ -1/2 (* x x)))>
#<alt (log (+ (* x 2) (/ -1/2 x)))>
#<alt (+ (* x 2) (/ -1/2 x))>
#<alt (* x 2)>
#<alt (/ -1/2 x)>
#<alt (log (/ (+ (* x (* x 2)) -1/2) x))>
#<alt (/ (+ (* x (* x 2)) -1/2) x)>
#<alt (+ (* x (* x 2)) -1/2)>
#<alt (* x (* x 2))>
#<alt (log (/ (- (* (+ (* x (* x 2)) -1/2) 1) (/ 1/8 (* x x))) x))>
#<alt (/ (- (* (+ (* x (* x 2)) -1/2) 1) (/ 1/8 (* x x))) x)>
#<alt (- (* (+ (* x (* x 2)) -1/2) 1) (/ 1/8 (* x x)))>
#<alt (* (+ (* x (* x 2)) -1/2) 1)>
#<alt (log (+ (* 1 (/ -1/2 x)) (/ 1 (/ (- (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (* (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (- (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))))))))>
#<alt (+ (* 1 (/ -1/2 x)) (/ 1 (/ (- (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (* (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (- (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))))))>
#<alt (/ 1 (/ (- (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (* (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (- (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))))))>
#<alt (/ (- (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (* (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (- (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))))>
#<alt (/ -1/2 (* x x))>
#<alt (/ -1/16 (* x x))>
#<alt (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))>
#<alt (/ 1/8 (* x x))>

Outputs
#<alt (+ (log -1/16) (* -5 (log x)))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))>
#<alt (/ -1/16 (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 6))>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 6))>
#<alt 2>
#<alt (- 2 (* 1/2 (/ 1 (pow x 2))))>
#<alt (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))>
#<alt (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))>
#<alt 2>
#<alt (- 2 (* 1/2 (/ 1 (pow x 2))))>
#<alt (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))>
#<alt (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ (- (* 2 (pow x 2)) 1/2) (pow x 2))>
#<alt (/ (- (* 2 (pow x 2)) 1/2) (pow x 2))>
#<alt (/ (- (* 2 (pow x 2)) 1/2) (pow x 2))>
#<alt 2>
#<alt (- 2 (* 1/2 (/ 1 (pow x 2))))>
#<alt (- 2 (* 1/2 (/ 1 (pow x 2))))>
#<alt (- 2 (* 1/2 (/ 1 (pow x 2))))>
#<alt 2>
#<alt (- 2 (* 1/2 (/ 1 (pow x 2))))>
#<alt (- 2 (* 1/2 (/ 1 (pow x 2))))>
#<alt (- 2 (* 1/2 (/ 1 (pow x 2))))>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 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)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt -1/2>
#<alt (- (* 2 (pow x 2)) 1/2)>
#<alt (- (* 2 (pow x 2)) 1/2)>
#<alt (- (* 2 (pow x 2)) 1/2)>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (+ (log -1/8) (* -3 (log x)))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* 4 (pow x 2))))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* -24 (pow x 2))))))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 256/3 (pow x 2)) 24))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 2))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 2))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* (pow x 2) (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* (pow x 2) (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt -1/2>
#<alt (- (* 2 (pow x 2)) 1/2)>
#<alt (- (* 2 (pow x 2)) 1/2)>
#<alt (- (* 2 (pow x 2)) 1/2)>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (+ (log -1/16) (* -5 (log x)))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))>
#<alt (* -16 (pow x 5))>
#<alt (* (pow x 5) (- (* 32 (pow x 2)) 16))>
#<alt (* (pow x 5) (- (* (pow x 2) (+ 32 (* -64 (pow x 2)))) 16))>
#<alt (* (pow x 5) (- (* (pow x 2) (+ 32 (* (pow x 2) (- (* -384 (pow x 2)) 64)))) 16))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 1/32 (/ 1 (pow x 4)))) x)>
#<alt (/ (+ 1/2 (+ (/ 1/64 (pow x 6)) (* 1/32 (/ 1 (pow x 4))))) x)>
#<alt (/ (+ 1/2 (+ (/ 1/64 (pow x 6)) (+ (* 1/32 (/ 1 (pow x 4))) (* 1/512 (/ 1 (pow x 8)))))) x)>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 1/32 (/ 1 (pow x 4)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/32 (* 1/64 (/ 1 (pow x 2)))) (pow x 4))) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/64 (* 1/512 (/ 1 (pow x 2)))) (pow x 6))) (+ 1/2 (* 1/32 (/ 1 (pow x 4))))) x))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ -1/8 (pow x 4))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (/ -1/8 (pow x 4))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>

Calls

72 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(log (/ (+ (* x (* x 2)) -1/2) x))
0.0ms	x	@	0	(log (* x (+ (+ 2 (/ -1/2 (* x x))) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))
0.0ms	x	@	inf	(log (* x (+ (+ 2 (/ -1/2 (* x x))) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))
0.0ms	x	@	0	(/ 1/8 (* x x))
0.0ms	x	@	-inf	(log (+ (* 1 (/ -1/2 x)) (/ 1 (/ (- (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (* (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (- (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))))))))

rewrite461.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3312×	`-lowering-.f32`
3312×	`-lowering-.f64`
2718×	`/-lowering-/.f32`
2718×	`/-lowering-/.f64`
2400×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	423
1	290	381
2	3338	232
0	9044	232

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 660

Calls

Call 1

Inputs
(log (* x (+ (+ 2 (/ -1/2 (* x x))) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))
(* x (+ (+ 2 (/ -1/2 (* x x))) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))
(+ (+ 2 (/ -1/2 (* x x))) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))
(+ 2 (/ -1/2 (* x x)))
(log (+ (* x 2) (/ -1/2 x)))
(+ (* x 2) (/ -1/2 x))
(* x 2)
(/ -1/2 x)
(log (/ (+ (* x (* x 2)) -1/2) x))
(/ (+ (* x (* x 2)) -1/2) x)
(+ (* x (* x 2)) -1/2)
(* x (* x 2))
(log (/ (- (* (+ (* x (* x 2)) -1/2) 1) (/ 1/8 (* x x))) x))
(/ (- (* (+ (* x (* x 2)) -1/2) 1) (/ 1/8 (* x x))) x)
(- (* (+ (* x (* x 2)) -1/2) 1) (/ 1/8 (* x x)))
(* (+ (* x (* x 2)) -1/2) 1)
(log (+ (* 1 (/ -1/2 x)) (/ 1 (/ (- (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (* (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (- (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))))))))
(+ (* 1 (/ -1/2 x)) (/ 1 (/ (- (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (* (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (- (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))))))
(/ 1 (/ (- (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (* (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (- (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))))))
(/ (- (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) (* (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (- (/ -1/2 x) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))))
(/ -1/2 (* x x))
(/ -1/16 (* x x))
(/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))
(/ 1/8 (* x x))

Outputs
(+.f32 (log.f32 x) (log.f32 (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal -1/2 binary32) (.f32 x x)) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x))))))))
(+.f32 (log.f32 (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal -1/2 binary32) (.f32 x x)) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x))))))) (log.f32 x))
(-.f32 (log.f32 (+.f32 (.f32 (.f32 x (.f32 x x)) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x)))))) (.f32 (.f32 (/.f32 x (/.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))))) (/.f32 x (/.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x)))))) (/.f32 x (/.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x)))))))) (log.f32 (+.f32 (.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x)))) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))) (-.f32 (.f32 (/.f32 x (/.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))))) (/.f32 x (/.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x)))))) (.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x)))) (/.f32 x (/.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))))))))))
(-.f32 (log.f32 (-.f32 (.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x)))) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))) (.f32 (/.f32 x (/.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))))) (/.f32 x (/.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x)))))))) (log.f32 (-.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x)))) (/.f32 x (/.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))))))))
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(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))) #s(literal -1 binary32)))
(.f32 (/.f32 (.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))) (-.f32 (/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x))) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x))))))))))
(.f32 (/.f32 (.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))) (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (.f32 (.f32 x x) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x))))))))
(.f32 (pow.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) (-.f32 (/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x))) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))))))
(.f32 (pow.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (.f32 (.f32 x x) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))))
(neg.f32 (/.f32 #s(literal -1 binary32) (.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))))
(exp.f32 (neg.f32 (+.f32 #s(literal 0 binary32) (log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x))))))))))
(exp.f32 (.f32 (+.f32 #s(literal 0 binary32) (log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))) #s(literal -1 binary32)))
(+.f32 (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))) (neg.f32 (/.f32 (/.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x))))))))))
(pow.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))) #s(literal 1 binary32))
(pow.f32 (.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))))) #s(literal -1 binary32))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))))) (neg.f32 (/.f32 (/.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))))))
(fma.f32 (/.f32 #s(literal -1/2 binary32) (.f32 x x)) (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))))) (neg.f32 (/.f32 (/.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))))))
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(fma.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))) (neg.f32 (/.f32 (/.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x))))))))))
(fma.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))))) (neg.f32 (/.f32 (/.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x))))))))))
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(.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x)))
(*.f32 (/.f32 #s(literal -1/2 binary32) x) (/.f32 #s(literal 1 binary32) x))
(.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x)))
(.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (.f32 x x)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/2 binary32) x))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) #s(literal -1/2 binary32))
(neg.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)))
(exp.f32 (.f32 (log.f32 (/.f32 (.f32 x x) #s(literal -1/16 binary32))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (*.f32 x x) #s(literal -1/16 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (*.f32 x x) #s(literal -1/16 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 x (/.f32 #s(literal -1/16 binary32) x)) #s(literal -1 binary32))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/.f32 #s(literal -1/16 binary32) (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) #s(literal -1/16 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x x) #s(literal -1/16 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal -1/16 binary32) x)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 x x) #s(literal -1/16 binary32))))
(/.f32 #s(literal 1/16 binary32) (-.f32 #s(literal 0 binary32) (*.f32 x x)))
(/.f32 (/.f32 #s(literal -1/16 binary32) x) x)
(/.f32 (neg.f32 (/.f32 #s(literal -1/16 binary32) x)) (neg.f32 x))
(.f32 #s(literal -1/16 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x)))
(.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x)))
(.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1 binary32) (.f32 x x)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/16 binary32) x))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) #s(literal -1/16 binary32))
(*.f32 (/.f32 #s(literal -1/16 binary32) x) (/.f32 #s(literal 1 binary32) x))
(neg.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (-.f32 #s(literal 0 binary32) (.f32 x x)))))
(neg.f32 (/.f32 (neg.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x)))) (.f32 x (.f32 x (.f32 x x)))))
(exp.f32 (.f32 (log.f32 (/.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x)))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (.f32 x (.f32 x x)) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) x)) #s(literal -1 binary32))
(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.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 -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (.f32 x x)) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) x)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))))))
(/.f32 (neg.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x)))) (.f32 (.f32 x x) (-.f32 #s(literal 0 binary32) (.f32 x x))))
(/.f32 (+.f32 #s(literal -1/512 binary32) (/.f32 #s(literal -1/4096 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))))) (.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal 1/64 binary32) (.f32 (/.f32 #s(literal -1/16 binary32) (.f32 x x)) (-.f32 (/.f32 #s(literal -1/16 binary32) (.f32 x x)) #s(literal -1/8 binary32))))))
(/.f32 (-.f32 #s(literal 1/64 binary32) (/.f32 #s(literal 1/256 binary32) (.f32 x (.f32 x (.f32 x x))))) (.f32 (.f32 x (.f32 x (.f32 x x))) (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x)))))
(/.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) x) (.f32 x (*.f32 x x)))
(/.f32 (.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) #s(literal 1 binary32)) (.f32 x (.f32 x (*.f32 x x))))
(/.f32 (.f32 (+.f32 #s(literal -1/512 binary32) (/.f32 #s(literal -1/4096 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))))) #s(literal 1 binary32)) (.f32 (+.f32 #s(literal 1/64 binary32) (.f32 (/.f32 #s(literal -1/16 binary32) (.f32 x x)) (-.f32 (/.f32 #s(literal -1/16 binary32) (.f32 x x)) #s(literal -1/8 binary32)))) (.f32 x (.f32 x (*.f32 x x)))))
(/.f32 (.f32 (-.f32 #s(literal 1/64 binary32) (/.f32 #s(literal 1/256 binary32) (.f32 x (.f32 x (.f32 x x))))) #s(literal 1 binary32)) (.f32 (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))
(/.f32 (neg.f32 (neg.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))))) (neg.f32 (.f32 (.f32 x x) (-.f32 #s(literal 0 binary32) (.f32 x x)))))
(/.f32 (neg.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) x)) (neg.f32 (.f32 x (*.f32 x x))))
(/.f32 (.f32 (+.f32 #s(literal -1/512 binary32) (/.f32 #s(literal -1/4096 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))))) (/.f32 (/.f32 #s(literal 1 binary32) x) (.f32 x (.f32 x x)))) (+.f32 #s(literal 1/64 binary32) (.f32 (/.f32 #s(literal -1/16 binary32) (.f32 x x)) (-.f32 (/.f32 #s(literal -1/16 binary32) (*.f32 x x)) #s(literal -1/8 binary32)))))
(/.f32 (.f32 (-.f32 #s(literal 1/64 binary32) (/.f32 #s(literal 1/256 binary32) (.f32 x (.f32 x (.f32 x x))))) (/.f32 (/.f32 #s(literal 1 binary32) x) (.f32 x (.f32 x x)))) (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))))
(/.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x x)) (*.f32 x x))
(/.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (*.f32 x x))) x)
(/.f32 (/.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) x) x) (.f32 x x))
(/.f32 (/.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) x) (.f32 x x)) x)
(.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (/.f32 (/.f32 #s(literal 1 binary32) x) (.f32 x (.f32 x x))))
(.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))
(.f32 (neg.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (-.f32 #s(literal 0 binary32) (*.f32 x x)))))
(.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (/.f32 (.f32 x (.f32 x x)) (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x)))) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) (pow.f32 (/.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x)))) #s(literal -1 binary32)))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (.f32 x (.f32 x x))) (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (.f32 x (.f32 x x))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x)))) #s(literal -1 binary32)))
(.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) x) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 x x))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 x (.f32 x x))) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) x))
(.f32 (pow.f32 (/.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal -1/512 binary32) (/.f32 #s(literal -1/4096 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/64 binary32) (.f32 (/.f32 #s(literal -1/16 binary32) (.f32 x x)) (-.f32 (/.f32 #s(literal -1/16 binary32) (.f32 x x)) #s(literal -1/8 binary32))))))
(.f32 (pow.f32 (/.f32 (.f32 x (.f32 x (.f32 x x))) (-.f32 #s(literal 1/64 binary32) (/.f32 #s(literal 1/256 binary32) (.f32 x (.f32 x (.f32 x x)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x)))))
(neg.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 x x)))
(exp.f32 (.f32 (log.f32 (/.f32 (.f32 x x) #s(literal 1/8 binary32))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (*.f32 x x) #s(literal 1/8 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (*.f32 x x) #s(literal 1/8 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 x (/.f32 #s(literal 1/8 binary32) x)) #s(literal -1 binary32))
(/.f32 #s(literal -1/8 binary32) (-.f32 #s(literal 0 binary32) (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) #s(literal 1/8 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x x) #s(literal 1/8 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal 1/8 binary32) x)))
(/.f32 #s(literal 1/8 binary32) (*.f32 x x))
(/.f32 #s(literal 1/8 binary32) (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 x x) #s(literal 1/8 binary32))))
(/.f32 (/.f32 #s(literal 1/8 binary32) x) x)
(/.f32 (neg.f32 (/.f32 #s(literal 1/8 binary32) x)) (neg.f32 x))
(.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1 binary32) (.f32 x x)))
(.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x)))
(.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/8 binary32) x))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) #s(literal 1/8 binary32))
(*.f32 (/.f32 #s(literal 1/8 binary32) x) (/.f32 #s(literal 1 binary32) x))

simplify381.0ms (4%)

Algorithm

1×	egg-herbie

Rules

2664×	`-lowering-.f32`
2664×	`-lowering-.f64`
2450×	`+-lowering-+.f64`
2450×	`+-lowering-+.f32`
1818×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	288	2768
1	815	2350
2	2556	2297
3	6627	2297
0	8374	2297

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
(+ (log -1/16) (* -5 (log x)))
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(/ -1/16 (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 6))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 6))
2
(- 2 (* 1/2 (/ 1 (pow x 2))))
(+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))
(- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))
2
(- 2 (* 1/2 (/ 1 (pow x 2))))
(+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))
(- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))
(/ -1/2 (pow x 2))
(/ (- (* 2 (pow x 2)) 1/2) (pow x 2))
(/ (- (* 2 (pow x 2)) 1/2) (pow x 2))
(/ (- (* 2 (pow x 2)) 1/2) (pow x 2))
2
(- 2 (* 1/2 (/ 1 (pow x 2))))
(- 2 (* 1/2 (/ 1 (pow x 2))))
(- 2 (* 1/2 (/ 1 (pow x 2))))
2
(- 2 (* 1/2 (/ 1 (pow x 2))))
(- 2 (* 1/2 (/ 1 (pow x 2))))
(- 2 (* 1/2 (/ 1 (pow x 2))))
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/2 x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 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)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/2 x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
-1/2
(- (* 2 (pow x 2)) 1/2)
(- (* 2 (pow x 2)) 1/2)
(- (* 2 (pow x 2)) 1/2)
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(+ (log -1/8) (* -3 (log x)))
(+ (log -1/8) (+ (* -3 (log x)) (* 4 (pow x 2))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* -24 (pow x 2))))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 256/3 (pow x 2)) 24))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/8 (pow x 3))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(/ -1/8 (pow x 2))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 2))
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 2))
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 2))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 2) (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 2) (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
-1/2
(- (* 2 (pow x 2)) 1/2)
(- (* 2 (pow x 2)) 1/2)
(- (* 2 (pow x 2)) 1/2)
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(+ (log -1/16) (* -5 (log x)))
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))
(* 2 x)
(* x (- 2 (* 1/8 (/ 1 (pow x 4)))))
(* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(* 2 x)
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))
(* -16 (pow x 5))
(* (pow x 5) (- (* 32 (pow x 2)) 16))
(* (pow x 5) (- (* (pow x 2) (+ 32 (* -64 (pow x 2)))) 16))
(* (pow x 5) (- (* (pow x 2) (+ 32 (* (pow x 2) (- (* -384 (pow x 2)) 64)))) 16))
(/ 1/2 x)
(/ (+ 1/2 (* 1/32 (/ 1 (pow x 4)))) x)
(/ (+ 1/2 (+ (/ 1/64 (pow x 6)) (* 1/32 (/ 1 (pow x 4))))) x)
(/ (+ 1/2 (+ (/ 1/64 (pow x 6)) (+ (* 1/32 (/ 1 (pow x 4))) (* 1/512 (/ 1 (pow x 8)))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 1/32 (/ 1 (pow x 4)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/32 (* 1/64 (/ 1 (pow x 2)))) (pow x 4))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1/64 (* 1/512 (/ 1 (pow x 2)))) (pow x 6))) (+ 1/2 (* 1/32 (/ 1 (pow x 4))))) x))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ -1/8 (pow x 4))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/ -1/8 (pow x 4))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))

Outputs
(+ (log -1/16) (* -5 (log x)))
(+.f32 (log.f32 #s(literal -1/16 binary32)) (*.f32 #s(literal -5 binary32) (log.f32 x)))
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))
(+.f32 (log.f32 #s(literal -1/16 binary32)) (+.f32 (.f32 #s(literal -5 binary32) (log.f32 x)) (.f32 x (*.f32 x #s(literal 2 binary32)))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))
(+.f32 (+.f32 (log.f32 #s(literal -1/16 binary32)) (.f32 #s(literal -5 binary32) (log.f32 x))) (.f32 x (.f32 x (+.f32 #s(literal 2 binary32) (.f32 x (*.f32 x #s(literal 6 binary32)))))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))
(+.f32 (+.f32 (log.f32 #s(literal -1/16 binary32)) (.f32 #s(literal -5 binary32) (log.f32 x))) (.f32 (.f32 x x) (+.f32 #s(literal 2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 6 binary32) (.f32 (*.f32 x x) #s(literal -136/3 binary32)))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f32 (log.f32 x) (+.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -3/32 binary32) (.f32 x x))) (.f32 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (+.f32 (/.f32 (+.f32 #s(literal -3/32 binary32) (/.f32 #s(literal -5/96 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(-.f32 (log.f32 #s(literal -2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f32 (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -3/32 binary32) (.f32 x x))) (.f32 x x)) (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (/.f32 (+.f32 #s(literal -3/32 binary32) (/.f32 #s(literal -5/96 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))) (-.f32 (log.f32 #s(literal -2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))))
(/ -1/16 (pow x 5))
(/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 5 binary32)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 x (.f32 x #s(literal -1/8 binary32)))) (pow.f32 x #s(literal 5 binary32)))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal -1/2 binary32))))) (pow.f32 x #s(literal 5 binary32)))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)))))) (pow.f32 x #s(literal 5 binary32)))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x) x)))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(.f32 x (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(.f32 x (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))) (/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x (*.f32 x x))))))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(.f32 (+.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x (*.f32 x x)))) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))))) (neg.f32 x))
(/ -1/16 (pow x 6))
(/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 x (.f32 x #s(literal -1/8 binary32)))) (pow.f32 x #s(literal 6 binary32)))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 6))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal -1/2 binary32))))) (pow.f32 x #s(literal 6 binary32)))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 6))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)))))) (pow.f32 x #s(literal 6 binary32)))
2
#s(literal 2 binary32)
(- 2 (* 1/2 (/ 1 (pow x 2))))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))
(+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))
(+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x) x))
(- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))
(+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))
2
#s(literal 2 binary32)
(- 2 (* 1/2 (/ 1 (pow x 2))))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))
(+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))
(+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x) x))
(- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))
(+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))
(/ -1/2 (pow x 2))
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
(/ (- (* 2 (pow x 2)) 1/2) (pow x 2))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))
(/ (- (* 2 (pow x 2)) 1/2) (pow x 2))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))
(/ (- (* 2 (pow x 2)) 1/2) (pow x 2))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))
2
#s(literal 2 binary32)
(- 2 (* 1/2 (/ 1 (pow x 2))))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))
(- 2 (* 1/2 (/ 1 (pow x 2))))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))
(- 2 (* 1/2 (/ 1 (pow x 2))))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))
2
#s(literal 2 binary32)
(- 2 (* 1/2 (/ 1 (pow x 2))))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))
(- 2 (* 1/2 (/ 1 (pow x 2))))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))
(- 2 (* 1/2 (/ 1 (pow x 2))))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))
(+ (log -1/2) (* -1 (log x)))
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 x))
(+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (-.f32 (.f32 (.f32 x x) #s(literal -4 binary32)) (log.f32 x)))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))
(+.f32 (.f32 (.f32 x x) (+.f32 #s(literal -4 binary32) (.f32 (.f32 x x) #s(literal -8 binary32)))) (-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 x)))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (-.f32 (.f32 (.f32 x x) (+.f32 #s(literal -4 binary32) (.f32 x (.f32 x (+.f32 #s(literal -8 binary32) (.f32 (.f32 x x) #s(literal -64/3 binary32))))))) (log.f32 x)))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 x) (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1/32 binary32) (.f32 x x))) (.f32 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (-.f32 (log.f32 x) (/.f32 (+.f32 #s(literal 1/32 binary32) (/.f32 #s(literal 1/192 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(-.f32 (log.f32 #s(literal -2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1/32 binary32) (.f32 x x))) (.f32 x x)))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (+.f32 (/.f32 (+.f32 #s(literal -1/32 binary32) (/.f32 #s(literal -1/192 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
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(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (+.f32 (/.f32 (+.f32 #s(literal -3/32 binary32) (/.f32 #s(literal -5/96 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(-.f32 (log.f32 #s(literal -2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f32 (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -3/32 binary32) (.f32 x x))) (.f32 x x)) (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (/.f32 (+.f32 #s(literal -3/32 binary32) (/.f32 #s(literal -5/96 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))) (-.f32 (log.f32 #s(literal -2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))))
(/ -1/16 (pow x 5))
(/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 5 binary32)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 x (.f32 x #s(literal -1/8 binary32)))) (pow.f32 x #s(literal 5 binary32)))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal -1/2 binary32))))) (pow.f32 x #s(literal 5 binary32)))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)))))) (pow.f32 x #s(literal 5 binary32)))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x) x)))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(.f32 x (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(.f32 x (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))) (/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x (*.f32 x x))))))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(.f32 (+.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x (*.f32 x x)))) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))))) (neg.f32 x))
(/ -1/16 (pow x 5))
(/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 5 binary32)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 x (.f32 x #s(literal -1/8 binary32)))) (pow.f32 x #s(literal 5 binary32)))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 #s(literal 2 binary32) (.f32 x (.f32 x (.f32 x x))))))) (pow.f32 x #s(literal 5 binary32)))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 #s(literal 2 binary32) (.f32 x (.f32 x (.f32 x x))))))) (pow.f32 x #s(literal 5 binary32)))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (- 2 (* 1/8 (/ 1 (pow x 4)))))
(.f32 x (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x (.f32 x x))))))
(* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x))))))
(* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x))))))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))
(.f32 x (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x (.f32 x x))))))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))
(.f32 x (+.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x (.f32 x x)))))))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))
(.f32 x (+.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x (.f32 x x)))))))
(* -16 (pow x 5))
(*.f32 (pow.f32 x #s(literal 5 binary32)) #s(literal -16 binary32))
(* (pow x 5) (- (* 32 (pow x 2)) 16))
(.f32 (pow.f32 x #s(literal 5 binary32)) (+.f32 #s(literal -16 binary32) (.f32 (*.f32 x x) #s(literal 32 binary32))))
(* (pow x 5) (- (* (pow x 2) (+ 32 (* -64 (pow x 2)))) 16))
(.f32 (pow.f32 x #s(literal 5 binary32)) (+.f32 #s(literal -16 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 32 binary32) (.f32 x (*.f32 x #s(literal -64 binary32)))))))
(* (pow x 5) (- (* (pow x 2) (+ 32 (* (pow x 2) (- (* -384 (pow x 2)) 64)))) 16))
(.f32 (pow.f32 x #s(literal 5 binary32)) (+.f32 #s(literal -16 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 32 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -64 binary32) (.f32 (*.f32 x x) #s(literal -384 binary32))))))))
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
(/ (+ 1/2 (* 1/32 (/ 1 (pow x 4)))) x)
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/32 binary32) (.f32 x (.f32 x (*.f32 x x))))) x)
(/ (+ 1/2 (+ (/ 1/64 (pow x 6)) (* 1/32 (/ 1 (pow x 4))))) x)
(/.f32 (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/32 binary32) (.f32 x (.f32 x (*.f32 x x)))) (/.f32 #s(literal 1/64 binary32) (pow.f32 x #s(literal 6 binary32))))) x)
(/ (+ 1/2 (+ (/ 1/64 (pow x 6)) (+ (* 1/32 (/ 1 (pow x 4))) (* 1/512 (/ 1 (pow x 8)))))) x)
(/.f32 (+.f32 (/.f32 #s(literal 1/32 binary32) (.f32 x (.f32 x (*.f32 x x)))) (+.f32 (/.f32 #s(literal 1/512 binary32) (pow.f32 x #s(literal 8 binary32))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/64 binary32) (pow.f32 x #s(literal 6 binary32)))))) x)
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
(/ (+ 1/2 (* 1/32 (/ 1 (pow x 4)))) x)
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/32 binary32) (.f32 x (.f32 x (*.f32 x x))))) x)
(* -1 (/ (- (* -1 (/ (+ 1/32 (* 1/64 (/ 1 (pow x 2)))) (pow x 4))) 1/2) x))
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal -1/32 binary32) (/.f32 #s(literal -1/64 binary32) (.f32 x x))) (-.f32 #s(literal 0 binary32) (.f32 x (.f32 x (.f32 x x)))))) x)
(* -1 (/ (- (* -1 (/ (+ 1/64 (* 1/512 (/ 1 (pow x 2)))) (pow x 6))) (+ 1/2 (* 1/32 (/ 1 (pow x 4))))) x))
(/.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/32 binary32) (.f32 x (.f32 x (.f32 x x))))) (/.f32 (+.f32 #s(literal 1/64 binary32) (/.f32 #s(literal 1/512 binary32) (.f32 x x))) (pow.f32 x #s(literal 6 binary32)))) x)
(/ -1/2 (pow x 2))
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
(/ -1/2 (pow x 2))
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
(/ -1/2 (pow x 2))
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
(/ -1/2 (pow x 2))
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
(/ -1/2 (pow x 2))
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
(/ -1/2 (pow x 2))
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
(/ -1/2 (pow x 2))
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
(/ -1/2 (pow x 2))
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
(/ -1/2 (pow x 2))
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
(/ -1/2 (pow x 2))
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
(/ -1/2 (pow x 2))
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
(/ -1/2 (pow x 2))
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 6))
(/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 x (.f32 x #s(literal -1/8 binary32)))) (pow.f32 x #s(literal 6 binary32)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 x (.f32 x #s(literal -1/8 binary32)))) (pow.f32 x #s(literal 6 binary32)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 x (.f32 x #s(literal -1/8 binary32)))) (pow.f32 x #s(literal 6 binary32)))
(/ -1/8 (pow x 4))
(/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x (*.f32 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))
(/ -1/8 (pow x 4))
(/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x (*.f32 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))
(/ 1/8 (pow x 2))
(/.f32 #s(literal 1/8 binary32) (*.f32 x x))
(/ 1/8 (pow x 2))
(/.f32 #s(literal 1/8 binary32) (*.f32 x x))
(/ 1/8 (pow x 2))
(/.f32 #s(literal 1/8 binary32) (*.f32 x x))
(/ 1/8 (pow x 2))
(/.f32 #s(literal 1/8 binary32) (*.f32 x x))
(/ 1/8 (pow x 2))
(/.f32 #s(literal 1/8 binary32) (*.f32 x x))
(/ 1/8 (pow x 2))
(/.f32 #s(literal 1/8 binary32) (*.f32 x x))
(/ 1/8 (pow x 2))
(/.f32 #s(literal 1/8 binary32) (*.f32 x x))
(/ 1/8 (pow x 2))
(/.f32 #s(literal 1/8 binary32) (*.f32 x x))
(/ 1/8 (pow x 2))
(/.f32 #s(literal 1/8 binary32) (*.f32 x x))
(/ 1/8 (pow x 2))
(/.f32 #s(literal 1/8 binary32) (*.f32 x x))
(/ 1/8 (pow x 2))
(/.f32 #s(literal 1/8 binary32) (*.f32 x x))
(/ 1/8 (pow x 2))
(/.f32 #s(literal 1/8 binary32) (*.f32 x x))

eval202.0ms (2.1%)

Compiler: Compiled 63271 to 4230 computations (93.3% saved)

prune209.0ms (2.2%)

Pruning

19 alts after pruning (12 fresh and 7 done)

	Pruned	Kept	Total
New	1356	6	1362
Fresh	2	6	8
Picked	2	3	5
Done	0	4	4
Total	1360	19	1379

Accuracy

100.0%

Counts

1379 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.7%	(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
	54.6%	(log.f32 (/.f32 (-.f32 (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x))
✓	54.1%	(log.f32 (/.f32 (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)) x))
▶	98.6%	(log.f32 (/.f32 (+.f32 (neg.f32 x) (.f32 (/.f32 #s(literal -1 binary32) (.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))) #s(literal -1/2 binary32))) (.f32 (/.f32 #s(literal -1 binary32) (.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))) x)))
▶	98.7%	(log.f32 (-.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))) (/.f32 #s(literal 1/2 binary32) x)))
	98.4%	(log.f32 (+.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x) x) x))
▶	98.0%	(log.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x) x))
✓	98.5%	(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) x)))
✓	98.0%	(log.f32 (+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x)))
	98.6%	(log.f32 (+.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))))))
	54.6%	(log.f32 (+.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x (.f32 x x))))))) (.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))))))))
	55.4%	(log.f32 (+.f32 x (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) #s(literal -1 binary32)))))))
✓	55.4%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
	55.4%	(log.f32 (+.f32 x (sqrt.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))))
✓	96.8%	(log.f32 (+.f32 x x))
▶	54.1%	(log.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 #s(literal -1/2 binary32) (.f32 x (*.f32 x #s(literal 2 binary32))))))
✓	98.7%	(log.f32 (.f32 x (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))
▶	98.5%	(log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x) x))))
	98.0%	(log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x)))))

Compiler

Compiled 757 to 385 computations (49.1% saved)

simplify262.0ms (2.8%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	192	(.f32 (/.f32 #s(literal -1 binary32) (.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))))) #s(literal -1/2 binary32))
✓	cost-diff	224	(+.f32 (neg.f32 x) (.f32 (/.f32 #s(literal -1 binary32) (.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))))) #s(literal -1/2 binary32)))
✓	cost-diff	1056	(/.f32 (+.f32 (neg.f32 x) (.f32 (/.f32 #s(literal -1 binary32) (.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))) #s(literal -1/2 binary32))) (.f32 (/.f32 #s(literal -1 binary32) (.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))) x))
✓	cost-diff	1056	(log.f32 (/.f32 (+.f32 (neg.f32 x) (.f32 (/.f32 #s(literal -1 binary32) (.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))) #s(literal -1/2 binary32))) (.f32 (/.f32 #s(literal -1 binary32) (.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))) x)))
✓	cost-diff	0	(/.f32 (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x) x)
✓	cost-diff	0	(+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x) x))
✓	cost-diff	64	(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x) x)))
✓	cost-diff	64	(log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x) x))))
✓	cost-diff	0	(+.f32 #s(literal -1/2 binary32) (.f32 x (.f32 x #s(literal 2 binary32))))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) x)
✓	cost-diff	128	(.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 #s(literal -1/2 binary32) (.f32 x (*.f32 x #s(literal 2 binary32)))))
✓	cost-diff	128	(log.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 #s(literal -1/2 binary32) (.f32 x (*.f32 x #s(literal 2 binary32))))))
✓	cost-diff	0	(/.f32 #s(literal -1/2 binary32) x)
✓	cost-diff	0	(+.f32 (/.f32 #s(literal -1/2 binary32) x) x)
✓	cost-diff	0	(+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x) x)
✓	cost-diff	0	(log.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x) x))
✓	cost-diff	0	(+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))
✓	cost-diff	64	(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x))))))
✓	cost-diff	64	(-.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))) (/.f32 #s(literal 1/2 binary32) x))
✓	cost-diff	64	(log.f32 (-.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))) (/.f32 #s(literal 1/2 binary32) x)))

Rules

3384×	`-lowering-.f32`
3384×	`-lowering-.f64`
1522×	`/-lowering-/.f32`
1522×	`/-lowering-/.f64`
1086×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	437
1	119	401
2	320	398
3	968	384
4	3888	384
0	8365	384

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(log (- (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (/ 1/2 x)))
(- (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (/ 1/2 x))
(* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))
x
(+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))
2
(/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))
(+ -1/8 (/ -1/16 (* x x)))
-1/8
(/ -1/16 (* x x))
-1/16
(* x x)
(* x (* x (* x x)))
(* x (* x x))
(/ 1/2 x)
1/2
(log (+ (+ (/ -1/2 x) x) x))
(+ (+ (/ -1/2 x) x) x)
(+ (/ -1/2 x) x)
(/ -1/2 x)
-1/2
x
(log (* (/ 1 x) (+ -1/2 (* x (* x 2)))))
(* (/ 1 x) (+ -1/2 (* x (* x 2))))
(/ 1 x)
1
x
(+ -1/2 (* x (* x 2)))
-1/2
(* x (* x 2))
(* x 2)
2
(log (* x (+ 2 (/ (/ (- -1/2 (/ 1/8 (* x x))) x) x))))
(* x (+ 2 (/ (/ (- -1/2 (/ 1/8 (* x x))) x) x)))
x
(+ 2 (/ (/ (- -1/2 (/ 1/8 (* x x))) x) x))
2
(/ (/ (- -1/2 (/ 1/8 (* x x))) x) x)
(/ (- -1/2 (/ 1/8 (* x x))) x)
(- -1/2 (/ 1/8 (* x x)))
-1/2
(/ 1/8 (* x x))
1/8
(* x x)
(log (/ (+ (neg x) (* (/ -1 (* 1 (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) -1/2)) (* (/ -1 (* 1 (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) x)))
(/ (+ (neg x) (* (/ -1 (* 1 (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) -1/2)) (* (/ -1 (* 1 (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) x))
(+ (neg x) (* (/ -1 (* 1 (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) -1/2))
(neg x)
x
(* (/ -1 (* 1 (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) -1/2)
(/ -1 (* 1 (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))))
-1
(* 1 (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))
1
(* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))
(+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))
2
(/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))
(+ -1/8 (/ -1/16 (* x x)))
-1/8
(/ -1/16 (* x x))
-1/16
(* x x)
(* x (* x (* x x)))
(* x (* x x))
-1/2
(* (/ -1 (* 1 (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) x)

Outputs
(log (- (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (/ 1/2 x)))
(log.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) (-.f32 (.f32 x #s(literal -2 binary32)) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x))))))
(- (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (/ 1/2 x))
(-.f32 (/.f32 #s(literal -1/2 binary32) x) (-.f32 (.f32 x #s(literal -2 binary32)) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x)))))
(* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))
(+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x))))
x
(+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))
(+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))
2
#s(literal 2 binary32)
(/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))
(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))
(+ -1/8 (/ -1/16 (* x x)))
(+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x)))
-1/8
#s(literal -1/8 binary32)
(/ -1/16 (* x x))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
-1/16
#s(literal -1/16 binary32)
(* x x)
(*.f32 x x)
(* x (* x (* x x)))
(.f32 x (.f32 x (*.f32 x x)))
(* x (* x x))
(.f32 x (.f32 x x))
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
1/2
#s(literal 1/2 binary32)
(log (+ (+ (/ -1/2 x) x) x))
(log.f32 (+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x)))
(+ (+ (/ -1/2 x) x) x)
(+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x))
(+ (/ -1/2 x) x)
(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
-1/2
#s(literal -1/2 binary32)
x
(log (* (/ 1 x) (+ -1/2 (* x (* x 2)))))
(log.f32 (+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x)))
(* (/ 1 x) (+ -1/2 (* x (* x 2))))
(+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x))
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
1
#s(literal 1 binary32)
x
(+ -1/2 (* x (* x 2)))
(+.f32 #s(literal -1/2 binary32) (.f32 #s(literal 2 binary32) (.f32 x x)))
-1/2
#s(literal -1/2 binary32)
(* x (* x 2))
(.f32 #s(literal 2 binary32) (.f32 x x))
(* x 2)
(*.f32 x #s(literal 2 binary32))
2
#s(literal 2 binary32)
(log (* x (+ 2 (/ (/ (- -1/2 (/ 1/8 (* x x))) x) x))))
(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) x)))
(* x (+ 2 (/ (/ (- -1/2 (/ 1/8 (* x x))) x) x)))
(+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) x))
x
(+ 2 (/ (/ (- -1/2 (/ 1/8 (* x x))) x) x))
(+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) (.f32 x x)))
2
#s(literal 2 binary32)
(/ (/ (- -1/2 (/ 1/8 (* x x))) x) x)
(/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) (.f32 x x))
(/ (- -1/2 (/ 1/8 (* x x))) x)
(/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)
(- -1/2 (/ 1/8 (* x x)))
(+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x)))
-1/2
#s(literal -1/2 binary32)
(/ 1/8 (* x x))
(/.f32 #s(literal 1/8 binary32) (*.f32 x x))
1/8
#s(literal 1/8 binary32)
(* x x)
(*.f32 x x)
(log (/ (+ (neg x) (* (/ -1 (* 1 (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) -1/2)) (* (/ -1 (* 1 (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) x)))
(log.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) (-.f32 (.f32 x #s(literal -2 binary32)) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x))))))
(/ (+ (neg x) (* (/ -1 (* 1 (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) -1/2)) (* (/ -1 (* 1 (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) x))
(-.f32 (/.f32 #s(literal -1/2 binary32) x) (-.f32 (.f32 x #s(literal -2 binary32)) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x)))))
(+ (neg x) (* (/ -1 (* 1 (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) -1/2))
(-.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x))))) x)
(neg x)
(neg.f32 x)
x
(* (/ -1 (* 1 (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) -1/2)
(/.f32 #s(literal 1/2 binary32) (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x)))))
(/ -1 (* 1 (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))))
(/.f32 #s(literal 1 binary32) (-.f32 (.f32 x #s(literal -2 binary32)) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x)))))
-1
#s(literal -1 binary32)
(* 1 (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))
(+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x))))
1
#s(literal 1 binary32)
(* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))
(+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x))))
(+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))
(+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))
2
#s(literal 2 binary32)
(/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))
(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))
(+ -1/8 (/ -1/16 (* x x)))
(+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x)))
-1/8
#s(literal -1/8 binary32)
(/ -1/16 (* x x))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
-1/16
#s(literal -1/16 binary32)
(* x x)
(*.f32 x x)
(* x (* x (* x x)))
(.f32 x (.f32 x (*.f32 x x)))
(* x (* x x))
(.f32 x (.f32 x x))
-1/2
#s(literal -1/2 binary32)
(* (/ -1 (* 1 (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) x)
(/.f32 #s(literal -1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))

localize243.0ms (2.6%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(/.f32 #s(literal -1 binary32) (.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))))
✓	accuracy	99.2%	(log.f32 (/.f32 (+.f32 (neg.f32 x) (.f32 (/.f32 #s(literal -1 binary32) (.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))) #s(literal -1/2 binary32))) (.f32 (/.f32 #s(literal -1 binary32) (.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))) x)))
✓	accuracy	98.2%	(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))
✓	accuracy	97.7%	(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
✓	accuracy	99.9%	(/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)
✓	accuracy	99.5%	(/.f32 (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x) x)
✓	accuracy	99.2%	(log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x) x))))
✓	accuracy	97.5%	(/.f32 #s(literal 1/8 binary32) (*.f32 x x))
✓	accuracy	100.0%	(.f32 x (.f32 x #s(literal 2 binary32)))
✓	accuracy	100.0%	(*.f32 x #s(literal 2 binary32))
✓	accuracy	99.2%	(log.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 #s(literal -1/2 binary32) (.f32 x (*.f32 x #s(literal 2 binary32))))))
✓	accuracy	59.1%	(.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 #s(literal -1/2 binary32) (.f32 x (*.f32 x #s(literal 2 binary32)))))
✓	accuracy	100.0%	(/.f32 #s(literal -1/2 binary32) x)
✓	accuracy	100.0%	(+.f32 (/.f32 #s(literal -1/2 binary32) x) x)
✓	accuracy	99.9%	(+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x) x)
✓	accuracy	99.2%	(log.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x) x))
✓	accuracy	99.7%	(.f32 x (.f32 x x))
✓	accuracy	99.2%	(log.f32 (-.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))) (/.f32 #s(literal 1/2 binary32) x)))
✓	accuracy	98.2%	(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))
✓	accuracy	97.7%	(/.f32 #s(literal -1/16 binary32) (*.f32 x x))

Results

149.0ms

256×

valid

Compiler

Compiled 606 to 46 computations (92.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-add: 30.0ms (32.7% of total)

ival-mult: 20.0ms (21.8% of total)

ival-div: 19.0ms (20.7% of total)

ival-log: 14.0ms (15.3% of total)

ival-neg: 4.0ms (4.4% of total)

ival-sub: 3.0ms (3.3% of total)

const: 1.0ms (1.1% of total)

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

series14.0ms (0.1%)

Counts

28 → 336

Calls

Call 1

Inputs
#<alt (log (- (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (/ 1/2 x)))>
#<alt (- (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (/ 1/2 x))>
#<alt (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))>
#<alt (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))>
#<alt (log (+ (+ (/ -1/2 x) x) x))>
#<alt (+ (+ (/ -1/2 x) x) x)>
#<alt (+ (/ -1/2 x) x)>
#<alt (/ -1/2 x)>
#<alt (log (* (/ 1 x) (+ -1/2 (* x (* x 2)))))>
#<alt (* (/ 1 x) (+ -1/2 (* x (* x 2))))>
#<alt (/ 1 x)>
#<alt (+ -1/2 (* x (* x 2)))>
#<alt (log (* x (+ 2 (/ (/ (- -1/2 (/ 1/8 (* x x))) x) x))))>
#<alt (* x (+ 2 (/ (/ (- -1/2 (/ 1/8 (* x x))) x) x)))>
#<alt (+ 2 (/ (/ (- -1/2 (/ 1/8 (* x x))) x) x))>
#<alt (/ (/ (- -1/2 (/ 1/8 (* x x))) x) x)>
#<alt (log (/ (+ (neg x) (* (/ -1 (* 1 (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) -1/2)) (* (/ -1 (* 1 (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) x)))>
#<alt (/ (+ (neg x) (* (/ -1 (* 1 (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) -1/2)) (* (/ -1 (* 1 (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) x))>
#<alt (+ (neg x) (* (/ -1 (* 1 (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) -1/2))>
#<alt (* (/ -1 (* 1 (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) -1/2)>
#<alt (/ -1/16 (* x x))>
#<alt (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))>
#<alt (* x (* x x))>
#<alt (* x 2)>
#<alt (* x (* x 2))>
#<alt (/ 1/8 (* x x))>
#<alt (/ (- -1/2 (/ 1/8 (* x x))) x)>
#<alt (/ -1 (* 1 (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))))>

Outputs
#<alt (+ (log -1/16) (* -5 (log x)))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))>
#<alt (/ -1/16 (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 6))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 6))>
#<alt 2>
#<alt (- 2 (* 1/8 (/ 1 (pow x 4))))>
#<alt (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))>
#<alt (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))>
#<alt 2>
#<alt (- 2 (* 1/8 (/ 1 (pow x 4))))>
#<alt (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))>
#<alt (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (/ -1/2 x)>
#<alt (/ (- (pow x 2) 1/2) x)>
#<alt (/ (- (pow x 2) 1/2) x)>
#<alt (/ (- (pow x 2) 1/2) x)>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt -1/2>
#<alt (- (* 2 (pow x 2)) 1/2)>
#<alt (- (* 2 (pow x 2)) 1/2)>
#<alt (- (* 2 (pow x 2)) 1/2)>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (+ (log -1/8) (* -3 (log x)))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* 4 (pow x 2))))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* -24 (pow x 2))))))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 256/3 (pow x 2)) 24))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (/ -1/8 (pow x 4))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 4))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 4))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 4))>
#<alt 2>
#<alt (- 2 (* 1/2 (/ 1 (pow x 2))))>
#<alt (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))>
#<alt (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))>
#<alt 2>
#<alt (- 2 (* 1/2 (/ 1 (pow x 2))))>
#<alt (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))>
#<alt (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))>
#<alt (/ -1/8 (pow x 4))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 4))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 4))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 4))>
#<alt (/ -1/2 (pow x 2))>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ -1/2 (pow x 2))>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (+ (log -1/16) (* -5 (log x)))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))>
#<alt (* -1 x)>
#<alt (* x (- (* -8 (pow x 4)) 1))>
#<alt (* x (- (* (pow x 4) (- (* 16 (pow x 2)) 8)) 1))>
#<alt (* x (- (* (pow x 4) (- (* (pow x 2) (+ 16 (* -32 (pow x 2)))) 8)) 1))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/4 (/ 1 (pow x 2))) 1))>
#<alt (* x (- (+ (/ 1/64 (pow x 6)) (* 1/4 (/ 1 (pow x 2)))) 1))>
#<alt (* x (- (+ (/ 1/64 (pow x 6)) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/128 (/ 1 (pow x 8))))) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1/4 (* 1/64 (/ 1 (pow x 4)))) (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/64 (* 1/128 (/ 1 (pow x 2)))) (pow x 6)))) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -8 (pow x 5))>
#<alt (* (pow x 5) (- (* 16 (pow x 2)) 8))>
#<alt (* (pow x 5) (- (* (pow x 2) (+ 16 (* -32 (pow x 2)))) 8))>
#<alt (* (pow x 5) (- (* (pow x 2) (+ 16 (* (pow x 2) (- (* -192 (pow x 2)) 32)))) 8))>
#<alt (/ 1/4 x)>
#<alt (/ (+ 1/4 (* 1/64 (/ 1 (pow x 4)))) x)>
#<alt (/ (+ 1/4 (+ (/ 1/128 (pow x 6)) (* 1/64 (/ 1 (pow x 4))))) x)>
#<alt (/ (+ 1/4 (+ (/ 1/128 (pow x 6)) (+ (* 1/64 (/ 1 (pow x 4))) (* 1/1024 (/ 1 (pow x 8)))))) x)>
#<alt (/ 1/4 x)>
#<alt (/ (+ 1/4 (* 1/64 (/ 1 (pow x 4)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/64 (* 1/128 (/ 1 (pow x 2)))) (pow x 4))) 1/4) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/128 (* 1/1024 (/ 1 (pow x 2)))) (pow x 6))) (+ 1/4 (* 1/64 (/ 1 (pow x 4))))) x))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ -1/8 (pow x 4))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (/ -1/8 (pow x 4))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* 2 x)>
#<alt (* 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 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* 16 (pow x 5))>
#<alt (* (pow x 5) (+ 16 (* -32 (pow x 2))))>
#<alt (* (pow x 5) (+ 16 (* (pow x 2) (- (* 64 (pow x 2)) 32))))>
#<alt (* (pow x 5) (+ 16 (* (pow x 2) (- (* (pow x 2) (+ 64 (* 384 (pow x 2)))) 32))))>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (+ 1/2 (* 1/32 (/ 1 (pow x 4)))) x))>
#<alt (/ (- (* -1 (/ (+ 1/32 (* 1/64 (/ 1 (pow x 2)))) (pow x 4))) 1/2) x)>
#<alt (/ (- (* -1 (/ (+ 1/64 (* 1/512 (/ 1 (pow x 2)))) (pow x 6))) (+ 1/2 (* 1/32 (/ 1 (pow x 4))))) x)>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (+ 1/2 (* 1/32 (/ 1 (pow x 4)))) x))>
#<alt (* -1 (/ (+ 1/2 (+ (/ 1/64 (pow x 6)) (* 1/32 (/ 1 (pow x 4))))) x))>
#<alt (* -1 (/ (+ 1/2 (+ (/ 1/64 (pow x 6)) (+ (* 1/32 (/ 1 (pow x 4))) (* 1/512 (/ 1 (pow x 8)))))) x))>

Calls

84 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(log (/ (+ (neg x) (* (/ -1 (* 1 (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) -1/2)) (* (/ -1 (* 1 (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) x)))
0.0ms	x	@	inf	(log (/ (+ (neg x) (* (/ -1 (* 1 (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) -1/2)) (* (/ -1 (* 1 (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) x)))
0.0ms	x	@	inf	(/ (- -1/2 (/ 1/8 (* x x))) x)
0.0ms	x	@	-inf	(log (/ (+ (neg x) (* (/ -1 (* 1 (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) -1/2)) (* (/ -1 (* 1 (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) x)))
0.0ms	x	@	0	(log (* x (+ 2 (/ (/ (- -1/2 (/ 1/8 (* x x))) x) x))))

rewrite481.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3712×	`/-lowering-/.f32`
3712×	`/-lowering-/.f64`
2766×	`-lowering-.f32`
2766×	`-lowering-.f64`
1886×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	336
1	296	308
2	2940	297
0	9632	297

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 953

Calls

Call 1

Inputs
(log (- (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (/ 1/2 x)))
(- (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (/ 1/2 x))
(* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))
(+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))
(log (+ (+ (/ -1/2 x) x) x))
(+ (+ (/ -1/2 x) x) x)
(+ (/ -1/2 x) x)
(/ -1/2 x)
(log (* (/ 1 x) (+ -1/2 (* x (* x 2)))))
(* (/ 1 x) (+ -1/2 (* x (* x 2))))
(/ 1 x)
(+ -1/2 (* x (* x 2)))
(log (* x (+ 2 (/ (/ (- -1/2 (/ 1/8 (* x x))) x) x))))
(* x (+ 2 (/ (/ (- -1/2 (/ 1/8 (* x x))) x) x)))
(+ 2 (/ (/ (- -1/2 (/ 1/8 (* x x))) x) x))
(/ (/ (- -1/2 (/ 1/8 (* x x))) x) x)
(log (/ (+ (neg x) (* (/ -1 (* 1 (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) -1/2)) (* (/ -1 (* 1 (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) x)))
(/ (+ (neg x) (* (/ -1 (* 1 (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) -1/2)) (* (/ -1 (* 1 (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) x))
(+ (neg x) (* (/ -1 (* 1 (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) -1/2))
(* (/ -1 (* 1 (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))) -1/2)
(/ -1/16 (* x x))
(/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))
(* x (* x x))
(* x 2)
(* x (* x 2))
(/ 1/8 (* x x))
(/ (- -1/2 (/ 1/8 (* x x))) x)
(/ -1 (* 1 (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))))

Outputs
(neg.f32 (log.f32 (/.f32 (+.f32 (.f32 (.f32 x x) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) (.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (/.f32 #s(literal 1/2 binary32) x)))) (+.f32 (.f32 (.f32 x (.f32 x x)) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))) (/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x)))))))
(neg.f32 (log.f32 (/.f32 (+.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (/.f32 #s(literal 1/2 binary32) x)) (-.f32 (.f32 (.f32 x x) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))))
(+.f32 (log.f32 (+.f32 (.f32 (.f32 x (.f32 x x)) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))) (/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x))))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (.f32 (.f32 x x) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) (.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (/.f32 #s(literal 1/2 binary32) x)))))))
(+.f32 (log.f32 (-.f32 (.f32 (.f32 x x) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))) (/.f32 #s(literal 1/2 binary32) x)))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (+.f32 (.f32 (.f32 x x) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) (.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (/.f32 #s(literal 1/2 binary32) x)))) (+.f32 (.f32 (.f32 x (.f32 x x)) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))) (/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x)))))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (+.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (/.f32 #s(literal 1/2 binary32) x)) (-.f32 (.f32 (.f32 x x) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))))
(-.f32 (log.f32 (+.f32 (.f32 (.f32 x (.f32 x x)) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))) (/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x))))) (log.f32 (+.f32 (.f32 (.f32 x x) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) (.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (/.f32 #s(literal 1/2 binary32) x))))))
(-.f32 (log.f32 (+.f32 (.f32 (.f32 x (.f32 x x)) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))) (/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x))))) (log.f32 (+.f32 (.f32 (.f32 x x) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))) (/.f32 #s(literal -1/2 binary32) x))))))
(-.f32 (log.f32 (-.f32 (.f32 (.f32 x x) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))) (log.f32 (+.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))) (/.f32 #s(literal 1/2 binary32) x))))
(-.f32 (log.f32 (neg.f32 (+.f32 (.f32 (.f32 x (.f32 x x)) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))) (/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x)))))) (log.f32 (neg.f32 (+.f32 (.f32 (.f32 x x) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) (.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (/.f32 #s(literal 1/2 binary32) x)))))))
(-.f32 (log.f32 (neg.f32 (-.f32 (.f32 (.f32 x x) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))) (log.f32 (neg.f32 (+.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))) (/.f32 #s(literal 1/2 binary32) x)))))
(log.f32 (+.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))) (/.f32 #s(literal -1/2 binary32) x)))
(+.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))) (/.f32 #s(literal -1/2 binary32) x))
(+.f32 (+.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (/.f32 #s(literal -1/2 binary32) x)) (+.f32 (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) x)))
(+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))))
(+.f32 (/.f32 x #s(literal 1/2 binary32)) (+.f32 (/.f32 (.f32 x (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x)))) (.f32 x (.f32 x (*.f32 x x)))) (/.f32 #s(literal -1/2 binary32) x)))
(pow.f32 (/.f32 (+.f32 (.f32 (.f32 x x) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) (.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (/.f32 #s(literal 1/2 binary32) x)))) (+.f32 (.f32 (.f32 x (.f32 x x)) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))) (/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (/.f32 #s(literal 1/2 binary32) x)) (-.f32 (.f32 (.f32 x x) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) #s(literal -1 binary32))
(fma.f32 x #s(literal 2 binary32) (+.f32 (/.f32 (.f32 x (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x)))) (.f32 x (.f32 x (*.f32 x x)))) (/.f32 #s(literal -1/2 binary32) x)))
(fma.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) (/.f32 #s(literal -1/2 binary32) x))
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(/.f32 (neg.f32 (.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 (/.f32 #s(literal -1/512 binary32) (.f32 x (.f32 x x))) (.f32 x (.f32 x x)))) (/.f32 #s(literal 1 binary32) x))) (neg.f32 (+.f32 #s(literal 1/4 binary32) (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x x)) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x)))))))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/64 binary32) (.f32 x (.f32 x (.f32 x x))))) (/.f32 #s(literal 1 binary32) x))) (neg.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x)))))
(/.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) #s(literal -1 binary32))) (neg.f32 x))
(.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x))
(.f32 (/.f32 #s(literal 1 binary32) x) (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))))
(.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x)))) #s(literal -1 binary32)))
(.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) (/.f32 #s(literal 1 binary32) x))
(.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) (/.f32 #s(literal -1 binary32) x))
(.f32 (.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) x))
(.f32 (pow.f32 (/.f32 x (+.f32 #s(literal -1/8 binary32) (/.f32 (/.f32 #s(literal -1/512 binary32) (.f32 x (.f32 x x))) (.f32 x (.f32 x x))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/4 binary32) (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x x)) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x)))))))
(.f32 (pow.f32 (/.f32 x (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/64 binary32) (.f32 x (.f32 x (.f32 x x)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x)))))
(neg.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))
(exp.f32 (.f32 (log.f32 (neg.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))) #s(literal -1 binary32)))
(pow.f32 (neg.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x))))))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (neg.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x))))))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (neg.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x))))))))))
(/.f32 (/.f32 #s(literal 1 binary32) x) (neg.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))
(/.f32 #s(literal -1 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))))))
(/.f32 (/.f32 #s(literal -1 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x))))))) #s(literal 1 binary32))
(/.f32 (neg.f32 (/.f32 #s(literal -1 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))))) #s(literal -1 binary32))
(/.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) x)
(/.f32 (/.f32 #s(literal -1 binary32) x) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))
(/.f32 (neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) (neg.f32 x))
(.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))))
(.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (neg.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x))))) #s(literal -1 binary32)) #s(literal -1 binary32)))
(.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))))
(.f32 (/.f32 #s(literal -1 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) #s(literal 1 binary32))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))) #s(literal -1 binary32))
(.f32 (/.f32 #s(literal -1 binary32) x) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))) (/.f32 #s(literal -1 binary32) x))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))) (pow.f32 (/.f32 x #s(literal -1 binary32)) #s(literal -1 binary32)))
(.f32 (pow.f32 (neg.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))

simplify402.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

4846×	`-lowering-.f32`
4846×	`-lowering-.f64`
3988×	`+-lowering-+.f64`
3988×	`+-lowering-+.f32`
1810×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	370	3218
1	1064	2781
2	3272	2749
0	8536	2749

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

Calls

Call 1

Inputs
(+ (log -1/16) (* -5 (log x)))
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))
(* 2 x)
(* x (- 2 (* 1/8 (/ 1 (pow x 4)))))
(* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(* 2 x)
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))
(/ -1/16 (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 6))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 6))
2
(- 2 (* 1/8 (/ 1 (pow x 4))))
(+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))
(+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))
2
(- 2 (* 1/8 (/ 1 (pow x 4))))
(+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))
(+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/2 x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(/ -1/2 x)
(/ (- (pow x 2) 1/2) x)
(/ (- (pow x 2) 1/2) x)
(/ (- (pow x 2) 1/2) x)
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
x
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/2 x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
-1/2
(- (* 2 (pow x 2)) 1/2)
(- (* 2 (pow x 2)) 1/2)
(- (* 2 (pow x 2)) 1/2)
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(+ (log -1/8) (* -3 (log x)))
(+ (log -1/8) (+ (* -3 (log x)) (* 4 (pow x 2))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* -24 (pow x 2))))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 256/3 (pow x 2)) 24))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/8 (pow x 3))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(/ -1/8 (pow x 4))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 4))
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 4))
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 4))
2
(- 2 (* 1/2 (/ 1 (pow x 2))))
(+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))
(+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))
2
(- 2 (* 1/2 (/ 1 (pow x 2))))
(+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))
(+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))
(/ -1/8 (pow x 4))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 4))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 4))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 4))
(/ -1/2 (pow x 2))
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))
(/ -1/2 (pow x 2))
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))
(+ (log -1/16) (* -5 (log x)))
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(* -1 x)
(* x (- (* -8 (pow x 4)) 1))
(* x (- (* (pow x 4) (- (* 16 (pow x 2)) 8)) 1))
(* x (- (* (pow x 4) (- (* (pow x 2) (+ 16 (* -32 (pow x 2)))) 8)) 1))
(* -1 x)
(* x (- (* 1/4 (/ 1 (pow x 2))) 1))
(* x (- (+ (/ 1/64 (pow x 6)) (* 1/4 (/ 1 (pow x 2)))) 1))
(* x (- (+ (/ 1/64 (pow x 6)) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/128 (/ 1 (pow x 8))))) 1))
(* -1 x)
(* -1 (* x (- 1 (* 1/4 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/4 (* 1/64 (/ 1 (pow x 4)))) (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/64 (* 1/128 (/ 1 (pow x 2)))) (pow x 6)))) (* 1/4 (/ 1 (pow x 2))))))
(* -8 (pow x 5))
(* (pow x 5) (- (* 16 (pow x 2)) 8))
(* (pow x 5) (- (* (pow x 2) (+ 16 (* -32 (pow x 2)))) 8))
(* (pow x 5) (- (* (pow x 2) (+ 16 (* (pow x 2) (- (* -192 (pow x 2)) 32)))) 8))
(/ 1/4 x)
(/ (+ 1/4 (* 1/64 (/ 1 (pow x 4)))) x)
(/ (+ 1/4 (+ (/ 1/128 (pow x 6)) (* 1/64 (/ 1 (pow x 4))))) x)
(/ (+ 1/4 (+ (/ 1/128 (pow x 6)) (+ (* 1/64 (/ 1 (pow x 4))) (* 1/1024 (/ 1 (pow x 8)))))) x)
(/ 1/4 x)
(/ (+ 1/4 (* 1/64 (/ 1 (pow x 4)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/64 (* 1/128 (/ 1 (pow x 2)))) (pow x 4))) 1/4) x))
(* -1 (/ (- (* -1 (/ (+ 1/128 (* 1/1024 (/ 1 (pow x 2)))) (pow x 6))) (+ 1/4 (* 1/64 (/ 1 (pow x 4))))) x))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ -1/8 (pow x 4))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/ -1/8 (pow x 4))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ -1/8 (pow x 3))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* 16 (pow x 5))
(* (pow x 5) (+ 16 (* -32 (pow x 2))))
(* (pow x 5) (+ 16 (* (pow x 2) (- (* 64 (pow x 2)) 32))))
(* (pow x 5) (+ 16 (* (pow x 2) (- (* (pow x 2) (+ 64 (* 384 (pow x 2)))) 32))))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* 1/32 (/ 1 (pow x 4)))) x))
(/ (- (* -1 (/ (+ 1/32 (* 1/64 (/ 1 (pow x 2)))) (pow x 4))) 1/2) x)
(/ (- (* -1 (/ (+ 1/64 (* 1/512 (/ 1 (pow x 2)))) (pow x 6))) (+ 1/2 (* 1/32 (/ 1 (pow x 4))))) x)
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* 1/32 (/ 1 (pow x 4)))) x))
(* -1 (/ (+ 1/2 (+ (/ 1/64 (pow x 6)) (* 1/32 (/ 1 (pow x 4))))) x))
(* -1 (/ (+ 1/2 (+ (/ 1/64 (pow x 6)) (+ (* 1/32 (/ 1 (pow x 4))) (* 1/512 (/ 1 (pow x 8)))))) x))

Outputs
(+ (log -1/16) (* -5 (log x)))
(+.f32 (log.f32 #s(literal -1/16 binary32)) (*.f32 #s(literal -5 binary32) (log.f32 x)))
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))
(+.f32 (log.f32 #s(literal -1/16 binary32)) (+.f32 (.f32 #s(literal -5 binary32) (log.f32 x)) (.f32 x (*.f32 x #s(literal 2 binary32)))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))
(+.f32 (+.f32 (log.f32 #s(literal -1/16 binary32)) (.f32 #s(literal -5 binary32) (log.f32 x))) (.f32 (.f32 x x) (+.f32 #s(literal 2 binary32) (.f32 (*.f32 x x) #s(literal 6 binary32)))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))
(+.f32 (+.f32 (log.f32 #s(literal -1/16 binary32)) (.f32 #s(literal -5 binary32) (log.f32 x))) (.f32 (.f32 x x) (+.f32 #s(literal 2 binary32) (.f32 x (.f32 x (+.f32 #s(literal 6 binary32) (.f32 (*.f32 x x) #s(literal -136/3 binary32))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f32 (log.f32 x) (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 3/32 binary32) (.f32 x x))) (.f32 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 x) (/.f32 #s(literal -1/4 binary32) (.f32 x x)))) (/.f32 (+.f32 #s(literal 3/32 binary32) (/.f32 #s(literal 5/96 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(-.f32 (log.f32 #s(literal -2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(-.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 3/32 binary32) (.f32 x x))) (.f32 x x)))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(-.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (+.f32 (/.f32 (+.f32 #s(literal 3/32 binary32) (/.f32 #s(literal 5/96 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
(/ -1/16 (pow x 5))
(/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 5 binary32)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32))) (pow.f32 x #s(literal 5 binary32)))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 (.f32 (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal -1/2 binary32))) x) x)) (pow.f32 x #s(literal 5 binary32)))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)) x) x)))) (pow.f32 x #s(literal 5 binary32)))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(+.f32 (.f32 x #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f32 (.f32 x #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(+.f32 (.f32 x (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(+.f32 (.f32 x #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(+.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)) (.f32 x (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x (*.f32 x x)))))))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(.f32 (+.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x (*.f32 x x)))) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))))) (neg.f32 x))
(/ -1/16 (pow x 5))
(/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 5 binary32)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32))) (pow.f32 x #s(literal 5 binary32)))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 #s(literal 2 binary32) (.f32 x (.f32 x (.f32 x x))))))) (pow.f32 x #s(literal 5 binary32)))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 #s(literal 2 binary32) (.f32 x (.f32 x (.f32 x x))))))) (pow.f32 x #s(literal 5 binary32)))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (- 2 (* 1/8 (/ 1 (pow x 4)))))
(.f32 x (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x (.f32 x x))))))
(* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(.f32 x (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x))))))
(* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(.f32 x (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x))))))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))
(.f32 x (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x (.f32 x x))))))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))
(.f32 x (+.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x (.f32 x x)))))))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))
(.f32 x (+.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x (.f32 x x)))))))
(/ -1/16 (pow x 6))
(/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32))) (pow.f32 x #s(literal 6 binary32)))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 6))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 #s(literal 2 binary32) (.f32 x (.f32 x (.f32 x x))))))) (pow.f32 x #s(literal 6 binary32)))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 6))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 #s(literal 2 binary32) (.f32 x (.f32 x (.f32 x x))))))) (pow.f32 x #s(literal 6 binary32)))
2
#s(literal 2 binary32)
(- 2 (* 1/8 (/ 1 (pow x 4))))
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x (*.f32 x x)))))
(+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))
(-.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))
(+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))
(-.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))
2
#s(literal 2 binary32)
(- 2 (* 1/8 (/ 1 (pow x 4))))
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x (*.f32 x x)))))
(+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))
(-.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))
(+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))
(-.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))
(+ (log -1/2) (* -1 (log x)))
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 x))
(+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (-.f32 (.f32 (.f32 x x) #s(literal -4 binary32)) (log.f32 x)))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (-.f32 (.f32 x (.f32 x (+.f32 #s(literal -4 binary32) (.f32 x (.f32 x #s(literal -8 binary32)))))) (log.f32 x)))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))
(+.f32 (.f32 (.f32 x x) (+.f32 #s(literal -4 binary32) (.f32 x (.f32 x (+.f32 #s(literal -8 binary32) (.f32 (.f32 x x) #s(literal -64/3 binary32))))))) (-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 x)))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f32 (log.f32 x) (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/32 binary32) (.f32 x x))) (.f32 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (log.f32 x) (+.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal 1/32 binary32) (/.f32 #s(literal 1/192 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(-.f32 (log.f32 #s(literal -2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(-.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/32 binary32) (.f32 x x))) (.f32 x x)))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (-.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (+.f32 #s(literal 1/32 binary32) (/.f32 #s(literal 1/192 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x))
(/ (- (* 2 (pow x 2)) 1/2) x)
(+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x))
(/ (- (* 2 (pow x 2)) 1/2) x)
(+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x))
(* 2 x)
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(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
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(/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1/32 binary32) (/.f32 #s(literal 1/64 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) x)
(/ (- (* -1 (/ (+ 1/64 (* 1/512 (/ 1 (pow x 2)))) (pow x 6))) (+ 1/2 (* 1/32 (/ 1 (pow x 4))))) x)
(/.f32 (-.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/32 binary32) (.f32 x (.f32 x (.f32 x x))))) (/.f32 (+.f32 #s(literal 1/64 binary32) (/.f32 #s(literal 1/512 binary32) (.f32 x x))) (pow.f32 x #s(literal 6 binary32)))) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(* -1 (/ (+ 1/2 (* 1/32 (/ 1 (pow x 4)))) x))
(/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/32 binary32) (.f32 x (.f32 x (*.f32 x x))))) x)
(* -1 (/ (+ 1/2 (+ (/ 1/64 (pow x 6)) (* 1/32 (/ 1 (pow x 4))))) x))
(/.f32 (+.f32 (/.f32 #s(literal 1/64 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/32 binary32) (.f32 x (.f32 x (*.f32 x x)))))) (neg.f32 x))
(* -1 (/ (+ 1/2 (+ (/ 1/64 (pow x 6)) (+ (* 1/32 (/ 1 (pow x 4))) (* 1/512 (/ 1 (pow x 8)))))) x))
(/.f32 (+.f32 (/.f32 #s(literal 1/64 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/32 binary32) (.f32 x (.f32 x (*.f32 x x))))) (/.f32 #s(literal 1/512 binary32) (pow.f32 x #s(literal 8 binary32))))) (neg.f32 x))

eval228.0ms (2.4%)

Compiler: Compiled 73106 to 5785 computations (92.1% saved)

prune239.0ms (2.5%)

Pruning

20 alts after pruning (9 fresh and 11 done)

	Pruned	Kept	Total
New	1768	4	1772
Fresh	2	5	7
Picked	1	4	5
Done	0	7	7
Total	1771	20	1791

Accuracy

100.0%

Counts

1791 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.7%	(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
	54.6%	(log.f32 (/.f32 (-.f32 (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x))
✓	54.1%	(log.f32 (/.f32 (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)) x))
	98.7%	(log.f32 (/.f32 (neg.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) x)) (/.f32 x (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))))
✓	98.7%	(log.f32 (-.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))) (/.f32 #s(literal 1/2 binary32) x)))
	43.9%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x))
	98.4%	(log.f32 (+.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x) x) x))
✓	98.0%	(log.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x) x))
✓	98.5%	(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) x)))
✓	98.0%	(log.f32 (+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x)))
	54.6%	(log.f32 (+.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x (.f32 x x))))))) (.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))))))))
	55.4%	(log.f32 (+.f32 x (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) #s(literal -1 binary32)))))))
✓	55.4%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
	55.4%	(log.f32 (+.f32 x (sqrt.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))))
✓	96.8%	(log.f32 (+.f32 x x))
	98.7%	(log.f32 (.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) x) (neg.f32 x)) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x))))))))
✓	54.1%	(log.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 #s(literal -1/2 binary32) (.f32 x (*.f32 x #s(literal 2 binary32))))))
✓	98.7%	(log.f32 (.f32 x (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))
✓	98.5%	(log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x) x))))
	98.0%	(log.f32 (*.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x))))

Compiler

Compiled 1170 to 380 computations (67.5% saved)

regimes30.0ms (0.3%)

Counts

32 → 1

Calls

Call 1

Inputs
(log.f32 (+.f32 x x))
(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x))
(log.f32 (+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x)))
(log.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x) x))
(log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x)))))
(log.f32 (*.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x))))
(log.f32 (+.f32 x (+.f32 x (*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)))))
(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x))))
(log.f32 (/.f32 (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)) x))
(log.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 #s(literal -1/2 binary32) (.f32 x (*.f32 x #s(literal 2 binary32))))))
(log.f32 (+.f32 x (-.f32 x (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x))))
(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) x)))
(log.f32 (+.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x) x) x))
(log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) (*.f32 x x)))))
(log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x) x))))
(log.f32 (/.f32 (-.f32 (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x))
(log.f32 (/.f32 (-.f32 (.f32 (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x))
(log.f32 (-.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))) (/.f32 #s(literal 1/2 binary32) x)))
(log.f32 (.f32 x (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))
(log.f32 (+.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))))
(log.f32 (+.f32 x (+.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))))
(log.f32 (.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) x) (neg.f32 x)) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x))))))))
(log.f32 (/.f32 (neg.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) x)) (/.f32 x (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))))
(log.f32 (/.f32 (+.f32 (neg.f32 x) (.f32 (/.f32 #s(literal -1 binary32) (.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))) #s(literal -1/2 binary32))) (.f32 (/.f32 #s(literal -1 binary32) (.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))) x)))
(log.f32 (+.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x (.f32 x x))))))) (.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))))))))
(log.f32 (/.f32 (-.f32 (.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (-.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))) (/.f32 #s(literal -1/2 binary32) x))))
(log.f32 (+.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) (.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x))))))))))))
(log.f32 (+.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(log.f32 (+.f32 x (sqrt.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))))
(log.f32 (+.f32 x (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x x) #s(literal -1 binary32)))))))

Outputs

(log.f32 (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x))))))) x) (neg.f32 x)) (*.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x))))))))

Calls

3 calls:

10.0ms	x
9.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
8.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Results

Accuracy	Segments	Branch
98.7%	1	`x`
98.7%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
98.7%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

21 → 1

Calls

Call 1

Inputs
(log.f32 (+.f32 x x))
(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x))
(log.f32 (+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x)))
(log.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x) x))
(log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x)))))
(log.f32 (*.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x))))
(log.f32 (+.f32 x (+.f32 x (*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)))))
(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x))))
(log.f32 (/.f32 (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)) x))
(log.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 #s(literal -1/2 binary32) (.f32 x (*.f32 x #s(literal 2 binary32))))))
(log.f32 (+.f32 x (-.f32 x (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x))))
(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) x)))
(log.f32 (+.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x) x) x))
(log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) (*.f32 x x)))))
(log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x) x))))
(log.f32 (/.f32 (-.f32 (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x))
(log.f32 (/.f32 (-.f32 (.f32 (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x))
(log.f32 (-.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))) (/.f32 #s(literal 1/2 binary32) x)))
(log.f32 (.f32 x (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))
(log.f32 (+.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))))
(log.f32 (+.f32 x (+.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))))

Outputs

(log.f32 (*.f32 x (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x)))))))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
98.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0.1%)

Counts

18 → 1

Calls

Call 1

Inputs
(log.f32 (+.f32 x x))
(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x))
(log.f32 (+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x)))
(log.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x) x))
(log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x)))))
(log.f32 (*.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x))))
(log.f32 (+.f32 x (+.f32 x (*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)))))
(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x))))
(log.f32 (/.f32 (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)) x))
(log.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 #s(literal -1/2 binary32) (.f32 x (*.f32 x #s(literal 2 binary32))))))
(log.f32 (+.f32 x (-.f32 x (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x))))
(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) x)))
(log.f32 (+.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x) x) x))
(log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) (*.f32 x x)))))
(log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x) x))))
(log.f32 (/.f32 (-.f32 (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x))
(log.f32 (/.f32 (-.f32 (.f32 (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x))
(log.f32 (-.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))) (/.f32 #s(literal 1/2 binary32) x)))

Outputs

(log.f32 (-.f32 (*.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x)))))) (/.f32 #s(literal 1/2 binary32) x)))

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
98.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts

17 → 1

Calls

Call 1

Inputs
(log.f32 (+.f32 x x))
(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x))
(log.f32 (+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x)))
(log.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x) x))
(log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x)))))
(log.f32 (*.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x))))
(log.f32 (+.f32 x (+.f32 x (*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)))))
(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x))))
(log.f32 (/.f32 (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)) x))
(log.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 #s(literal -1/2 binary32) (.f32 x (*.f32 x #s(literal 2 binary32))))))
(log.f32 (+.f32 x (-.f32 x (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x))))
(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) x)))
(log.f32 (+.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x) x) x))
(log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) (*.f32 x x)))))
(log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x) x))))
(log.f32 (/.f32 (-.f32 (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x))
(log.f32 (/.f32 (-.f32 (.f32 (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x))

Outputs
(log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x) x))))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
98.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts

14 → 1

Calls

Call 1

Inputs
(log.f32 (+.f32 x x))
(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x))
(log.f32 (+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x)))
(log.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x) x))
(log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x)))))
(log.f32 (*.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x))))
(log.f32 (+.f32 x (+.f32 x (*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)))))
(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x))))
(log.f32 (/.f32 (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)) x))
(log.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 #s(literal -1/2 binary32) (.f32 x (*.f32 x #s(literal 2 binary32))))))
(log.f32 (+.f32 x (-.f32 x (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x))))
(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) x)))
(log.f32 (+.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x) x) x))
(log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) (*.f32 x x)))))

Outputs
(log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) (*.f32 x x)))))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
98.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

13 → 1

Calls

Call 1

Inputs
(log.f32 (+.f32 x x))
(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x))
(log.f32 (+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x)))
(log.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x) x))
(log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x)))))
(log.f32 (*.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x))))
(log.f32 (+.f32 x (+.f32 x (*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)))))
(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x))))
(log.f32 (/.f32 (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)) x))
(log.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 #s(literal -1/2 binary32) (.f32 x (*.f32 x #s(literal 2 binary32))))))
(log.f32 (+.f32 x (-.f32 x (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x))))
(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) x)))
(log.f32 (+.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x) x) x))

Outputs
(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) x)))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

11 → 1

Calls

Call 1

Inputs
(log.f32 (+.f32 x x))
(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x))
(log.f32 (+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x)))
(log.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x) x))
(log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x)))))
(log.f32 (*.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal -1/2 binary32) x) x))))
(log.f32 (+.f32 x (+.f32 x (*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)))))
(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x))))
(log.f32 (/.f32 (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)) x))
(log.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 #s(literal -1/2 binary32) (.f32 x (*.f32 x #s(literal 2 binary32))))))
(log.f32 (+.f32 x (-.f32 x (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x))))

Outputs
(log.f32 (+.f32 x (-.f32 x (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x))))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -17.0b remaining (-1654.1%)

Threshold costs -17b (-1654.1%)

Counts

2 → 1

Calls

Call 1

Inputs
(log.f32 (+.f32 x x))
(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x))

Outputs
(log.f32 (+.f32 x x))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
96.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify61.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

414×	`distribute-lft-neg-in_binary32`
388×	`unsub-neg_binary32`
300×	`cancel-sign-sub_binary32`
276×	`neg-mul-1_binary32`
232×	`neg-sub0_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	58	179
1	92	179
2	128	179
3	167	178
4	227	178
5	352	178
6	593	178
7	919	178
8	1201	178
9	1387	178
10	1485	178
11	1510	178
12	1517	178
13	1519	178

Stop Event

1×

saturated

Calls

Call 1

Inputs
(log.f32 (.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) x) (neg.f32 x)) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x))))))))
(log.f32 (.f32 x (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))
(log.f32 (-.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))) (/.f32 #s(literal 1/2 binary32) x)))
(log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x) x))))
(log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) (*.f32 x x)))))
(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) x)))
(log.f32 (+.f32 x (-.f32 x (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x))))
(log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x)))))
(log.f32 (+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x)))
(log.f32 (+.f32 x x))

Outputs
(log.f32 (.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) x) (neg.f32 x)) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x))))))))
(log.f32 (.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (/.f32 (-.f32 x (/.f32 #s(literal 1/2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))))) x)))
(log.f32 (.f32 x (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))
(log.f32 (.f32 x (+.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))))
(log.f32 (-.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))) (/.f32 #s(literal 1/2 binary32) x)))
(log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x) x))))
(log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) (*.f32 x x)))))
(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) x)))
(log.f32 (+.f32 x (-.f32 x (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x))))
(log.f32 (+.f32 x (+.f32 x (/.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x))))
(log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x)))))
(log.f32 (+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x)))
(log.f32 (+.f32 x x))

soundness2.3s (24%)

Rules

3712×	`/-lowering-/.f32`
3712×	`/-lowering-/.f64`
3312×	`-lowering-.f32`
3312×	`-lowering-.f64`
3240×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	288	2768
1	815	2350
2	2556	2297
3	6627	2297
0	8374	2297
0	150	548
1	432	457
2	1373	445
3	4237	434
0	8342	434
0	233	1806
1	662	1555
2	2095	1519
3	6070	1519
0	8016	1519
0	45	336
1	296	308
2	2940	297
0	9632	297
0	40	423
1	290	381
2	3338	232
0	9044	232
0	31	143
1	198	123
2	2294	120
0	8528	120

Stop Event

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

Compiler

Compiled 245 to 108 computations (55.9% saved)

preprocess64.0ms (0.7%)

Compiler: Compiled 404 to 146 computations (63.9% saved)

analyze0.0ms (0%)

sample518.0ms (5.4%)

preprocess162.0ms (1.7%)

explain135.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify150.0ms (1.6%)

localize32.0ms (0.3%)

series5.0ms (0%)

rewrite308.0ms (3.2%)

simplify248.0ms (2.6%)

eval34.0ms (0.4%)

prune89.0ms (0.9%)

simplify222.0ms (2.3%)

localize205.0ms (2.2%)

series164.0ms (1.7%)

rewrite443.0ms (4.7%)

simplify258.0ms (2.7%)

eval233.0ms (2.4%)

prune261.0ms (2.7%)

simplify184.0ms (1.9%)

localize242.0ms (2.5%)

series12.0ms (0.1%)

rewrite461.0ms (4.8%)

simplify381.0ms (4%)

eval202.0ms (2.1%)

prune209.0ms (2.2%)

simplify262.0ms (2.8%)

localize243.0ms (2.6%)

series14.0ms (0.1%)

rewrite481.0ms (5.1%)

simplify402.0ms (4.2%)

eval228.0ms (2.4%)

prune239.0ms (2.5%)

regimes30.0ms (0.3%)

regimes9.0ms (0.1%)

regimes10.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

simplify61.0ms (0.6%)

soundness2.3s (24%)

preprocess64.0ms (0.7%)

end0.0ms (0%)

Profiling