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)

sample525.0ms (6.5%)

Results

380.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 199.0ms

ival-acosh: 144.0ms (72.5% of total)

ival->=: 44.0ms (22.1% of total)

const: 8.0ms (4% of total)

backward-pass: 3.0ms (1.5% of total)

Bogosity

preprocess161.0ms (2%)

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)))

explain106.0ms (1.3%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
137	-	-	`(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

42.0ms

512×

valid

Compiler

Compiled 80 to 23 computations (71.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-log: 8.0ms (33.7% of total)

ival-mult: 4.0ms (16.8% of total)

ival-sqrt: 4.0ms (16.8% of total)

ival-sub: 3.0ms (12.6% of total)

ival-add: 3.0ms (12.6% of total)

const: 1.0ms (4.2% of total)

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

eval0.0ms (0%)

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

prune14.0ms (0.2%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.9%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify194.0ms (2.4%)

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)

localize55.0ms (0.7%)

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	53.7%	(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))

Results

46.0ms

256×

valid

Compiler

Compiled 35 to 8 computations (77.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-log: 3.0ms (29.1% of total)

ival-mult: 2.0ms (19.4% of total)

ival-sqrt: 2.0ms (19.4% of total)

ival-sub: 1.0ms (9.7% of total)

ival-add: 1.0ms (9.7% of total)

const: 0.0ms (0% of total)

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

series5.0ms (0.1%)

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	@	0	(sqrt (- (* x x) 1))
0.0ms	x	@	inf	(- (* x x) 1)

rewrite282.0ms (3.5%)

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)))

simplify247.0ms (3%)

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))

eval31.0ms (0.4%)

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

prune80.0ms (1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	304	12	316
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	304	13	317

Accuracy

100.0%

Counts

317 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.1%	(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
	95.9%	(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
	49.9%	(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))))
	33.2%	(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 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))))))))
	49.9%	(log.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))))
	98.0%	(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)))
▶	98.4%	(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))))))))
▶	98.0%	(log.f32 (+.f32 x (-.f32 x (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x))))
▶	98.4%	(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)))))))))
	97.4%	(log.f32 (+.f32 x (+.f32 x (*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)))))
✓	49.9%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
▶	49.9%	(log.f32 (+.f32 x (sqrt.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))))
▶	96.0%	(log.f32 (+.f32 x x))

Compiler

Compiled 402 to 267 computations (33.6% saved)

simplify196.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

1848×	`-lowering-.f32`
1848×	`-lowering-.f64`
1690×	`fnmsub-define`
1462×	`--lowering--.f32`
1462×	`--lowering--.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	39	368
1	104	327
2	272	326
3	754	318
4	2070	306
5	6640	306
0	8177	306

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize225.0ms (2.8%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32)))
✓	accuracy	99.9%	(+.f32 x (sqrt.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32)))))
✓	accuracy	99.2%	(log.f32 (+.f32 x (sqrt.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))))
✓	accuracy	53.7%	(sqrt.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))
✓	accuracy	99.8%	(.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	98.7%	(/.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	100.0%	(+.f32 x (-.f32 x (/.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 x (-.f32 x (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x))))
✓	accuracy	97.3%	(/.f32 #s(literal -1/8 binary32) (*.f32 x x))
✓	accuracy	100.0%	(+.f32 x x)
✓	accuracy	99.3%	(log.f32 (+.f32 x x))
✓	accuracy	99.8%	(.f32 x (.f32 x x))
✓	accuracy	99.2%	(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)))))))))
✓	accuracy	98.7%	(/.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

145.0ms

256×

valid

Compiler

Compiled 434 to 40 computations (90.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-div: 14.0ms (23.5% of total)

ival-log: 14.0ms (23.5% of total)

ival-add: 12.0ms (20.1% of total)

ival-mult: 12.0ms (20.1% of total)

ival-sub: 4.0ms (6.7% of total)

ival-sqrt: 2.0ms (3.4% of total)

const: 1.0ms (1.7% of total)

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

series86.0ms (1.1%)

Counts

22 → 264

Calls

Call 1

Inputs
#<alt (log (+ x (+ (* 1 (/ -1/2 x)) (* x (+ 1 (/ (- -1/8 (/ 1/16 (* x x))) (* x (* x (* x x)))))))))>
#<alt (+ x (+ (* 1 (/ -1/2 x)) (* x (+ 1 (/ (- -1/8 (/ 1/16 (* x x))) (* x (* x (* x x))))))))>
#<alt (+ (* 1 (/ -1/2 x)) (* x (+ 1 (/ (- -1/8 (/ 1/16 (* x x))) (* x (* x (* x x)))))))>
#<alt (* x (+ 1 (/ (- -1/8 (/ 1/16 (* x x))) (* x (* x (* x x))))))>
#<alt (log (+ x x))>
#<alt (+ x x)>
#<alt (log (+ x (- x (/ (- 1/2 (/ -1/8 (* x x))) x))))>
#<alt (+ x (- x (/ (- 1/2 (/ -1/8 (* x x))) x)))>
#<alt (- x (/ (- 1/2 (/ -1/8 (* x x))) x))>
#<alt (/ (- 1/2 (/ -1/8 (* x x))) x)>
#<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 (sqrt (* (+ x 1) (+ x -1)))))>
#<alt (+ x (sqrt (* (+ x 1) (+ x -1))))>
#<alt (sqrt (* (+ x 1) (+ x -1)))>
#<alt (* (+ x 1) (+ x -1))>
#<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 (/ -1/16 (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) (- (pow x 2) 1/2)) 1/8)) 1/16) (pow x 5))>
#<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 x>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 1)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 1)))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (pow x 4) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (pow x 4) 1/8)) 1/16) (pow x 5))>
#<alt x>
#<alt (* x (- 1 (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 1)))>
#<alt (* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 1)))>
#<alt (* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 1)))>
#<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 -1/8) (* -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 (/ (- (* (pow x 2) (- (pow x 2) 1/2)) 1/8) (pow x 3))>
#<alt (/ (- (* (pow x 2) (- (pow x 2) 1/2)) 1/8) (pow x 3))>
#<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 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 1)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 1)))>
#<alt (/ 1/8 (pow x 3))>
#<alt (/ (+ 1/8 (* 1/2 (pow x 2))) (pow x 3))>
#<alt (/ (+ 1/8 (* 1/2 (pow x 2))) (pow x 3))>
#<alt (/ (+ 1/8 (* 1/2 (pow x 2))) (pow x 3))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<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 (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 (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x))))>
#<alt (+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))>
#<alt (+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))>
#<alt (+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))))>
#<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 (* x (- (pow (sqrt -1) 2) 1)))>
#<alt (* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1)))>
#<alt (* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))))>
#<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 (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))))>
#<alt (* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 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))))>
#<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

66 calls:

Time	Variable		Point	Expression
33.0ms	x	@	0	(log (+ x x))
23.0ms	x	@	-inf	(log (+ x x))
11.0ms	x	@	inf	(log (+ x x))
2.0ms	x	@	-inf	(log (+ x (sqrt (* (+ x 1) (+ x -1)))))
1.0ms	x	@	-inf	(log (+ x (+ (* 1 (/ -1/2 x)) (* x (+ 1 (/ (- -1/8 (/ 1/16 (* x x))) (* x (* x (* x x)))))))))

rewrite331.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2636×	`-lowering-.f32`
2636×	`-lowering-.f64`
2308×	`/-lowering-/.f32`
2308×	`/-lowering-/.f64`
2140×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	254
1	277	211
2	3056	204
0	8166	204

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 606

Calls

Call 1

Inputs
(log (+ x (+ (* 1 (/ -1/2 x)) (* x (+ 1 (/ (- -1/8 (/ 1/16 (* x x))) (* x (* x (* x x)))))))))
(+ x (+ (* 1 (/ -1/2 x)) (* x (+ 1 (/ (- -1/8 (/ 1/16 (* x x))) (* x (* x (* x x))))))))
(+ (* 1 (/ -1/2 x)) (* x (+ 1 (/ (- -1/8 (/ 1/16 (* x x))) (* x (* x (* x x)))))))
(* x (+ 1 (/ (- -1/8 (/ 1/16 (* x x))) (* x (* x (* x x))))))
(log (+ x x))
(+ x x)
(log (+ x (- x (/ (- 1/2 (/ -1/8 (* x x))) x))))
(+ x (- x (/ (- 1/2 (/ -1/8 (* x x))) x)))
(- x (/ (- 1/2 (/ -1/8 (* x x))) x))
(/ (- 1/2 (/ -1/8 (* x x))) x)
(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 (sqrt (* (+ x 1) (+ x -1)))))
(+ x (sqrt (* (+ x 1) (+ x -1))))
(sqrt (* (+ x 1) (+ x -1)))
(* (+ x 1) (+ x -1))
(/ 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 x x) (.f32 (+.f32 (/.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))))))) (-.f32 (+.f32 (/.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))))))) x))) (+.f32 (.f32 x (.f32 x x)) (.f32 (+.f32 (/.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))))))) (.f32 (+.f32 (/.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))))))) (+.f32 (/.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)))))))))))))
(neg.f32 (log.f32 (/.f32 (-.f32 x (+.f32 (/.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)))))))) (.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.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)))) #s(literal 2 binary32)))) (-.f32 x (+.f32 (/.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))))))))))))
(neg.f32 (log.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (.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)))) #s(literal 2 binary32))) (-.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)))) #s(literal 2 binary32))) (/.f32 #s(literal -1/2 binary32) x)))) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x))) (.f32 (.f32 x (.f32 x x)) (.f32 (+.f32 (/.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 2 binary32)) (.f32 (+.f32 (/.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 2 binary32)) (+.f32 (/.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 2 binary32)))))))))
(neg.f32 (log.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.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)))) #s(literal 2 binary32)))) (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (.f32 (.f32 x x) (.f32 (+.f32 (/.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 2 binary32)) (+.f32 (/.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 2 binary32))))))))
(+.f32 (log.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x))) (.f32 (.f32 x (.f32 x x)) (.f32 (+.f32 (/.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 2 binary32)) (.f32 (+.f32 (/.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 2 binary32)) (+.f32 (/.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 2 binary32))))))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (.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)))) #s(literal 2 binary32))) (-.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)))) #s(literal 2 binary32))) (/.f32 #s(literal -1/2 binary32) x)))))))
(+.f32 (log.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (.f32 (.f32 x x) (.f32 (+.f32 (/.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 2 binary32)) (+.f32 (/.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 2 binary32)))))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.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)))) #s(literal 2 binary32)))))))
(+.f32 (log.f32 (+.f32 (.f32 x (.f32 x x)) (.f32 (+.f32 (/.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))))))) (.f32 (+.f32 (/.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))))))) (+.f32 (/.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 #s(literal 1 binary32) (+.f32 (.f32 x x) (.f32 (+.f32 (/.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))))))) (-.f32 (+.f32 (/.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))))))) x))))))
(+.f32 (log.f32 (.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.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)))) #s(literal 2 binary32)))) (-.f32 x (+.f32 (/.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 #s(literal 1 binary32) (-.f32 x (+.f32 (/.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)))))))))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (+.f32 (.f32 x x) (.f32 (+.f32 (/.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))))))) (-.f32 (+.f32 (/.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))))))) x))) (+.f32 (.f32 x (.f32 x x)) (.f32 (+.f32 (/.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))))))) (.f32 (+.f32 (/.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))))))) (+.f32 (/.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)))))))))))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 x (+.f32 (/.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)))))))) (.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.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)))) #s(literal 2 binary32)))) (-.f32 x (+.f32 (/.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))))))))))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (.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)))) #s(literal 2 binary32))) (-.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)))) #s(literal 2 binary32))) (/.f32 #s(literal -1/2 binary32) x)))) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x))) (.f32 (.f32 x (.f32 x x)) (.f32 (+.f32 (/.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 2 binary32)) (.f32 (+.f32 (/.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 2 binary32)) (+.f32 (/.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 2 binary32)))))))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.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)))) #s(literal 2 binary32)))) (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (.f32 (.f32 x x) (.f32 (+.f32 (/.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 2 binary32)) (+.f32 (/.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 2 binary32))))))))
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(.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) (-.f32 #s(literal 0 binary32) (.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))

simplify262.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

4096×	`+-lowering-+.f64`
4096×	`+-lowering-+.f32`
2940×	`-lowering-.f32`
2940×	`-lowering-.f64`
1216×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	353	2802
1	1030	2302
2	3636	2285
0	8365	2285

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

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) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (pow x 2) 1/2)) 1/8)) 1/16) (pow x 5))
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)))))
x
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 1)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 1)))
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (pow x 4) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (pow x 4) 1/8)) 1/16) (pow x 5))
x
(* x (- 1 (* 1/8 (/ 1 (pow x 4)))))
(* x (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(* x (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
x
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 1)))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 1)))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 1)))
(+ (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 -1/8) (* -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))
(/ (- (* (pow x 2) (- (pow x 2) 1/2)) 1/8) (pow x 3))
(/ (- (* (pow x 2) (- (pow x 2) 1/2)) 1/8) (pow x 3))
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 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
x
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 1)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 1)))
(/ 1/8 (pow x 3))
(/ (+ 1/8 (* 1/2 (pow x 2))) (pow x 3))
(/ (+ 1/8 (* 1/2 (pow x 2))) (pow x 3))
(/ (+ 1/8 (* 1/2 (pow x 2))) (pow x 3))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(+ (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 (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 (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))))
(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 (* x (- (pow (sqrt -1) 2) 1)))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1)))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))))
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))))
(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 (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 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))))
(/ 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 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 #s(literal 2 binary32)) (log.f32 x))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (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 (+.f32 (log.f32 #s(literal 2 binary32)) (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 (+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (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 (.f32 x 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 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (log.f32 (/.f32 #s(literal -1 binary32) 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)) (-.f32 (/.f32 #s(literal -1/4 binary32) (.f32 x x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))) (/.f32 (+.f32 #s(literal 3/32 binary32) (/.f32 #s(literal 5/96 binary32) (.f32 x x))) (.f32 (.f32 x x) (*.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 (.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)))))
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(/.f32 (+.f32 #s(literal -1/8 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x)))) (.f32 (.f32 x 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 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x)))) (.f32 (.f32 x 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 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x)))) (.f32 (.f32 x x) (*.f32 x x)))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(/ -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))

eval143.0ms (1.8%)

Compiler: Compiled 35302 to 2998 computations (91.5% saved)

prune212.0ms (2.6%)

Pruning

22 alts after pruning (18 fresh and 4 done)

	Pruned	Kept	Total
New	997	14	1011
Fresh	3	4	7
Picked	2	3	5
Done	0	1	1
Total	1002	22	1024

Accuracy

100.0%

Counts

1024 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.1%	(+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
▶	95.9%	(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
	49.9%	(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))))
▶	48.3%	(log.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (.f32 (.f32 x x) (.f32 (+.f32 (/.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 2 binary32)) (+.f32 (/.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 2 binary32))))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.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)))) #s(literal 2 binary32))))))
	6.6%	(log.f32 (/.f32 (-.f32 (.f32 (+.f32 (/.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))))))) (+.f32 (/.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)))))))) (.f32 x x)) (-.f32 (+.f32 (/.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))))))) x)))
	33.2%	(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 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))))))))
	49.9%	(log.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))))
	6.5%	(log.f32 (-.f32 (/.f32 (.f32 x x) (-.f32 x (+.f32 (/.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))))))))) (/.f32 (.f32 (+.f32 (/.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))))))) (+.f32 (/.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)))))))) (-.f32 x (+.f32 (/.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)))))))))))
	98.4%	(log.f32 (-.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)))) #s(literal 2 binary32))) (/.f32 #s(literal 1/2 binary32) x)))
	98.4%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (+.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)))))) x)))
▶	98.4%	(log.f32 (+.f32 (+.f32 (/.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))))))) x))
	98.0%	(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)))
	48.0%	(log.f32 (+.f32 (.f32 #s(literal 1 binary32) (/.f32 (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)) x)) (/.f32 #s(literal -1/8 binary32) (.f32 x (*.f32 x x)))))
	44.0%	(log.f32 (+.f32 x (/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x)))))
✓	98.0%	(log.f32 (+.f32 x (-.f32 x (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x))))
▶	97.4%	(log.f32 (+.f32 x (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))
✓	49.9%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	49.9%	(log.f32 (+.f32 x (sqrt.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))))
✓	96.0%	(log.f32 (+.f32 x x))
	8.1%	(log.f32 (.f32 (.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.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)))) #s(literal 2 binary32)))) (-.f32 x (+.f32 (/.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))))))))) (/.f32 #s(literal 1 binary32) (-.f32 x (+.f32 (/.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 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) (*.f32 x x)))))
	97.4%	(log.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x)))))

Compiler

Compiled 1200 to 525 computations (56.3% saved)

simplify185.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f32 #s(literal 2 binary32))
✓	cost-diff	0	(log.f32 x)
✓	cost-diff	0	(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
✓	cost-diff	128	(.f32 (.f32 x x) (.f32 (+.f32 (/.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 2 binary32)) (+.f32 (/.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 2 binary32))))
✓	cost-diff	128	(-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (.f32 (.f32 x x) (.f32 (+.f32 (/.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 2 binary32)) (+.f32 (/.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 2 binary32)))))
✓	cost-diff	192	(/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (.f32 (.f32 x x) (.f32 (+.f32 (/.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 2 binary32)) (+.f32 (/.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 2 binary32))))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.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)))) #s(literal 2 binary32)))))
✓	cost-diff	192	(log.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (.f32 (.f32 x x) (.f32 (+.f32 (/.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 2 binary32)) (+.f32 (/.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 2 binary32))))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.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)))) #s(literal 2 binary32))))))
✓	cost-diff	0	(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) (.f32 x x))
✓	cost-diff	0	(-.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) (.f32 x x)))
✓	cost-diff	0	(.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))))
✓	cost-diff	0	(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)))))
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) x)
✓	cost-diff	0	(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
✓	cost-diff	0	(+.f32 x (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))
✓	cost-diff	0	(log.f32 (+.f32 x (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))
✓	cost-diff	128	(.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))))))
✓	cost-diff	128	(+.f32 (/.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)))))))
✓	cost-diff	128	(+.f32 (+.f32 (/.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))))))) x)
✓	cost-diff	128	(log.f32 (+.f32 (+.f32 (/.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))))))) x))

Rules

2896×	`-lowering-.f32`
2896×	`-lowering-.f64`
2000×	`+-lowering-+.f64`
2000×	`+-lowering-+.f32`
1476×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	472
1	117	427
2	393	419
3	1770	409
0	8420	409

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(log (+ (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x))
(+ (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x)
(+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))
(/ -1/2 x)
-1/2
x
(* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))
(+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))
1
(/ (+ -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 (/ 1/2 x))))
(+ x (- x (/ 1/2 x)))
x
(- x (/ 1/2 x))
(/ 1/2 x)
1/2
(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)))
1/2
(/ 1/8 (* x x))
1/8
(* x x)
(log (/ (- (/ 1/4 (* x x)) (* (* x x) (* (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) 2) (+ (/ (+ -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)))))
(/ (- (/ 1/4 (* x x)) (* (* x x) (* (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) 2) (+ (/ (+ -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))))
(- (/ 1/4 (* x x)) (* (* x x) (* (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) 2) (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) 2))))
(/ 1/4 (* x x))
1/4
(* x x)
x
(* (* x x) (* (+ (/ (+ -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)))) 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))
2
(- (/ -1/2 x) (* x (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) 2)))
(/ -1/2 x)
-1/2
(* x (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) 2))
(+ (log x) (log 2))
(log x)
x
(log 2)
2

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

localize258.0ms (3.2%)

Localize:

Found 19 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 x) (log.f32 #s(literal 2 binary32)))
✓	accuracy	98.7%	(/.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 1/4 binary32) (*.f32 x x))
✓	accuracy	53.0%	(/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (.f32 (.f32 x x) (.f32 (+.f32 (/.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 2 binary32)) (+.f32 (/.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 2 binary32))))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.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)))) #s(literal 2 binary32)))))
✓	accuracy	100.0%	(.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))))
✓	accuracy	99.2%	(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)))))
✓	accuracy	97.3%	(/.f32 #s(literal 1/8 binary32) (*.f32 x x))
✓	accuracy	96.7%	(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) (.f32 x x))
✓	accuracy	100.0%	(/.f32 #s(literal 1/2 binary32) x)
✓	accuracy	100.0%	(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
✓	accuracy	100.0%	(+.f32 x (-.f32 x (/.f32 #s(literal 1/2 binary32) x)))
✓	accuracy	99.2%	(log.f32 (+.f32 x (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))
✓	accuracy	99.8%	(.f32 x (.f32 x x))
✓	accuracy	99.2%	(log.f32 (+.f32 (+.f32 (/.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))))))) x))
✓	accuracy	98.7%	(/.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

158.0ms

256×

valid

Compiler

Compiled 645 to 44 computations (93.2% saved)

Precisions

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

ival-log: 45.0ms (42.9% of total)

ival-div: 24.0ms (22.9% of total)

ival-mult: 19.0ms (18.1% of total)

ival-add: 10.0ms (9.5% of total)

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

const: 1.0ms (1% of total)

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

series68.0ms (0.8%)

Counts

24 → 276

Calls

Call 1

Inputs
#<alt (log (+ (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x))>
#<alt (+ (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x)>
#<alt (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))>
#<alt (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))>
#<alt (log (+ x (- x (/ 1/2 x))))>
#<alt (+ x (- x (/ 1/2 x)))>
#<alt (- x (/ 1/2 x))>
#<alt (/ 1/2 x)>
#<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 (/ (- (/ 1/4 (* x x)) (* (* x x) (* (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) 2) (+ (/ (+ -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)))))>
#<alt (/ (- (/ 1/4 (* x x)) (* (* x x) (* (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) 2) (+ (/ (+ -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))))>
#<alt (- (/ 1/4 (* x x)) (* (* x x) (* (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) 2) (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) 2))))>
#<alt (* (* x x) (* (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) 2) (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) 2)))>
#<alt (+ (log x) (log 2))>
#<alt (log x)>
#<alt (log 2)>
#<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))>
#<alt (/ 1/4 (* 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) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (pow x 2) 1/2)) 1/8)) 1/16) (pow x 5))>
#<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 x>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 1)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 1)))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (pow x 4) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (pow x 4) 1/8)) 1/16) (pow x 5))>
#<alt x>
#<alt (* x (- 1 (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 1)))>
#<alt (* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 1)))>
#<alt (* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 1)))>
#<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 -1/8) (* -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 (/ (+ 1/8 (* 1/2 (pow x 2))) (pow x 4))>
#<alt (/ (+ 1/8 (* 1/2 (pow x 2))) (pow x 4))>
#<alt (/ (+ 1/8 (* 1/2 (pow x 2))) (pow x 4))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 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 (/ -1/256 (pow x 10))>
#<alt (/ (- (* -1/64 (pow x 2)) 1/256) (pow x 10))>
#<alt (/ (- (* (pow x 2) (- (* -1/64 (pow x 2)) 1/64)) 1/256) (pow x 10))>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 1/4 (pow x 2)) 1/64)) 1/64)) 1/256) (pow x 10))>
#<alt (* -4 (pow x 2))>
#<alt (* (pow x 2) (- (* 3/4 (/ 1 (pow x 4))) 4))>
#<alt (* (pow x 2) (- (+ (/ 1/4 (pow x 6)) (* 3/4 (/ 1 (pow x 4)))) 4))>
#<alt (* (pow x 2) (- (+ (/ 1/4 (pow x 6)) (* 3/4 (/ 1 (pow x 4)))) (+ 4 (* 1/64 (/ 1 (pow x 8))))))>
#<alt (* -4 (pow x 2))>
#<alt (* (pow x 2) (- (* 3/4 (/ 1 (pow x 4))) 4))>
#<alt (* (pow x 2) (- (+ (/ 1/4 (pow x 6)) (* 3/4 (/ 1 (pow x 4)))) 4))>
#<alt (* (pow x 2) (- (+ (/ 1/4 (pow x 6)) (* 3/4 (/ 1 (pow x 4)))) (+ 4 (* 1/64 (/ 1 (pow x 8))))))>
#<alt (/ 1/256 (pow x 10))>
#<alt (/ (+ 1/256 (* 1/64 (pow x 2))) (pow x 10))>
#<alt (/ (+ 1/256 (* (pow x 2) (+ 1/64 (* 1/64 (pow x 2))))) (pow x 10))>
#<alt (/ (+ 1/256 (* (pow x 2) (+ 1/64 (* (pow x 2) (+ 1/64 (* -1/4 (pow x 2))))))) (pow x 10))>
#<alt (* 4 (pow x 2))>
#<alt (* (pow x 2) (- 4 (* 1/2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 2) (+ 4 (* -1 (/ (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt (* (pow x 2) (- (+ 4 (* 1/64 (/ 1 (pow x 8)))) (+ (/ 1/4 (pow x 6)) (* 1/2 (/ 1 (pow x 4))))))>
#<alt (* 4 (pow x 2))>
#<alt (* (pow x 2) (- 4 (* 1/2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 2) (+ 4 (* -1 (/ (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt (* (pow x 2) (- (+ 4 (* 1/64 (/ 1 (pow x 8)))) (+ (/ 1/4 (pow x 6)) (* 1/2 (/ 1 (pow x 4))))))>
#<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))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>

Calls

69 calls:

Time	Variable		Point	Expression
28.0ms	x	@	-inf	(+ (log x) (log 2))
19.0ms	x	@	0	(+ (log x) (log 2))
8.0ms	x	@	inf	(+ (log x) (log 2))
1.0ms	x	@	inf	(log (/ (- (/ 1/4 (* x x)) (* (* x x) (* (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) 2) (+ (/ (+ -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)))))
0.0ms	x	@	0	(log (/ (- (/ 1/4 (* x x)) (* (* x x) (* (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) 2) (+ (/ (+ -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)))))

rewrite395.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3022×	`-lowering-.f32`
3022×	`-lowering-.f64`
2534×	`fma-lowering-fma.f32`
2534×	`fma-lowering-fma.f64`
1704×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	314
1	310	243
2	3459	233
0	8127	233

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 584

Calls

Call 1

Inputs
(log (+ (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x))
(+ (+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))) x)
(+ (/ -1/2 x) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))))
(* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))
(log (+ x (- x (/ 1/2 x))))
(+ x (- x (/ 1/2 x)))
(- x (/ 1/2 x))
(/ 1/2 x)
(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 (/ (- (/ 1/4 (* x x)) (* (* x x) (* (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) 2) (+ (/ (+ -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)))))
(/ (- (/ 1/4 (* x x)) (* (* x x) (* (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) 2) (+ (/ (+ -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))))
(- (/ 1/4 (* x x)) (* (* x x) (* (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) 2) (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) 2))))
(* (* x x) (* (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) 2) (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) 2)))
(+ (log x) (log 2))
(log x)
(log 2)
(/ -1/16 (* x x))
(/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))
(* x (* x x))
(/ 1/8 (* x x))
(/ 1/4 (* x x))

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

simplify253.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

4148×	`-lowering-.f32`
4148×	`-lowering-.f64`
3032×	`+-lowering-+.f64`
3032×	`+-lowering-+.f32`
1564×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	323	2743
1	901	2345
2	2858	2236
0	8332	2236

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

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) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (pow x 2) 1/2)) 1/8)) 1/16) (pow x 5))
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)))))
x
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 1)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 1)))
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (pow x 4) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (pow x 4) 1/8)) 1/16) (pow x 5))
x
(* x (- 1 (* 1/8 (/ 1 (pow x 4)))))
(* x (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(* x (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
x
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 1)))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 1)))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 1)))
(+ (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 -1/8) (* -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))
(/ (+ 1/8 (* 1/2 (pow x 2))) (pow x 4))
(/ (+ 1/8 (* 1/2 (pow x 2))) (pow x 4))
(/ (+ 1/8 (* 1/2 (pow x 2))) (pow x 4))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))
(/ 1/2 (pow x 2))
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 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)))
(/ -1/256 (pow x 10))
(/ (- (* -1/64 (pow x 2)) 1/256) (pow x 10))
(/ (- (* (pow x 2) (- (* -1/64 (pow x 2)) 1/64)) 1/256) (pow x 10))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 1/4 (pow x 2)) 1/64)) 1/64)) 1/256) (pow x 10))
(* -4 (pow x 2))
(* (pow x 2) (- (* 3/4 (/ 1 (pow x 4))) 4))
(* (pow x 2) (- (+ (/ 1/4 (pow x 6)) (* 3/4 (/ 1 (pow x 4)))) 4))
(* (pow x 2) (- (+ (/ 1/4 (pow x 6)) (* 3/4 (/ 1 (pow x 4)))) (+ 4 (* 1/64 (/ 1 (pow x 8))))))
(* -4 (pow x 2))
(* (pow x 2) (- (* 3/4 (/ 1 (pow x 4))) 4))
(* (pow x 2) (- (+ (/ 1/4 (pow x 6)) (* 3/4 (/ 1 (pow x 4)))) 4))
(* (pow x 2) (- (+ (/ 1/4 (pow x 6)) (* 3/4 (/ 1 (pow x 4)))) (+ 4 (* 1/64 (/ 1 (pow x 8))))))
(/ 1/256 (pow x 10))
(/ (+ 1/256 (* 1/64 (pow x 2))) (pow x 10))
(/ (+ 1/256 (* (pow x 2) (+ 1/64 (* 1/64 (pow x 2))))) (pow x 10))
(/ (+ 1/256 (* (pow x 2) (+ 1/64 (* (pow x 2) (+ 1/64 (* -1/4 (pow x 2))))))) (pow x 10))
(* 4 (pow x 2))
(* (pow x 2) (- 4 (* 1/2 (/ 1 (pow x 4)))))
(* (pow x 2) (+ 4 (* -1 (/ (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (pow x 4)))))
(* (pow x 2) (- (+ 4 (* 1/64 (/ 1 (pow x 8)))) (+ (/ 1/4 (pow x 6)) (* 1/2 (/ 1 (pow x 4))))))
(* 4 (pow x 2))
(* (pow x 2) (- 4 (* 1/2 (/ 1 (pow x 4)))))
(* (pow x 2) (+ 4 (* -1 (/ (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (pow x 4)))))
(* (pow x 2) (- (+ 4 (* 1/64 (/ 1 (pow x 8)))) (+ (/ 1/4 (pow x 6)) (* 1/2 (/ 1 (pow x 4))))))
(+ (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))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (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 (.f32 x 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 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 (+.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 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 (.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 (.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 x (.f32 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 (*.f32 x #s(literal 2 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))) (/.f32 #s(literal 1 binary32) 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 -1/2 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)))))))
(* 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 -1/2 binary32) x))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 (neg.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 #s(literal -2 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x (.f32 x x)))) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.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) (- (* -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 (.f32 x x) #s(literal -1/2 binary32)))))) (pow.f32 x #s(literal 5 binary32)))
(/ (- (* (pow x 2) (- (* (pow x 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 x (.f32 x (+.f32 (*.f32 x x) #s(literal -1/2 binary32))))))) (pow.f32 x #s(literal 5 binary32)))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(+.f32 x (/.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))) (/.f32 #s(literal 1 binary32) x)))
(* 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 -1/2 binary32) x))
x
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 1)))
(+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 1 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))))) 1)))
(+.f32 x (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 (+.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) (- (pow x 4) 1/8)) 1/16) (pow x 5))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 (.f32 x x) (+.f32 (.f32 x (.f32 x (*.f32 x x))) #s(literal -1/8 binary32)))) (pow.f32 x #s(literal 5 binary32)))
(/ (- (* (pow x 2) (- (pow x 4) 1/8)) 1/16) (pow x 5))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 (.f32 x x) (+.f32 (.f32 x (.f32 x (*.f32 x x))) #s(literal -1/8 binary32)))) (pow.f32 x #s(literal 5 binary32)))
x
(* x (- 1 (* 1/8 (/ 1 (pow x 4)))))
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(/.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 (.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 x (.f32 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 (*.f32 x #s(literal 2 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))) (/.f32 #s(literal 1 binary32) 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 -1/2 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)))))))
(* 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 -1/2 binary32) x))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 (neg.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 #s(literal -2 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x (.f32 x x)))) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))))) (neg.f32 x))
(/ -1/256 (pow x 10))
(/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 10 binary32)))
(/ (- (* -1/64 (pow x 2)) 1/256) (pow x 10))
(/.f32 (+.f32 #s(literal -1/256 binary32) (.f32 x (.f32 x #s(literal -1/64 binary32)))) (pow.f32 x #s(literal 10 binary32)))
(/ (- (* (pow x 2) (- (* -1/64 (pow x 2)) 1/64)) 1/256) (pow x 10))
(/.f32 (+.f32 #s(literal -1/256 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/64 binary32) (.f32 x (.f32 x #s(literal -1/64 binary32)))))) (pow.f32 x #s(literal 10 binary32)))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 1/4 (pow x 2)) 1/64)) 1/64)) 1/256) (pow x 10))
(/.f32 (+.f32 #s(literal -1/256 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/64 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/64 binary32) (.f32 x (.f32 x #s(literal 1/4 binary32)))))))) (pow.f32 x #s(literal 10 binary32)))
(* -4 (pow x 2))
(.f32 (.f32 x x) #s(literal -4 binary32))
(* (pow x 2) (- (* 3/4 (/ 1 (pow x 4))) 4))
(.f32 (.f32 x x) (+.f32 #s(literal -4 binary32) (/.f32 #s(literal 3/4 binary32) (.f32 x (.f32 x (*.f32 x x))))))
(* (pow x 2) (- (+ (/ 1/4 (pow x 6)) (* 3/4 (/ 1 (pow x 4)))) 4))
(.f32 (.f32 x x) (+.f32 #s(literal -4 binary32) (+.f32 (/.f32 #s(literal 3/4 binary32) (.f32 x (.f32 x (*.f32 x x)))) (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 6 binary32))))))
(* (pow x 2) (- (+ (/ 1/4 (pow x 6)) (* 3/4 (/ 1 (pow x 4)))) (+ 4 (* 1/64 (/ 1 (pow x 8))))))
(.f32 (.f32 x x) (+.f32 #s(literal -4 binary32) (+.f32 (/.f32 #s(literal 3/4 binary32) (.f32 x (.f32 x (*.f32 x x)))) (-.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/64 binary32) (pow.f32 x #s(literal 8 binary32)))))))
(* -4 (pow x 2))
(.f32 (.f32 x x) #s(literal -4 binary32))
(* (pow x 2) (- (* 3/4 (/ 1 (pow x 4))) 4))
(.f32 (.f32 x x) (+.f32 #s(literal -4 binary32) (/.f32 #s(literal 3/4 binary32) (.f32 x (.f32 x (*.f32 x x))))))
(* (pow x 2) (- (+ (/ 1/4 (pow x 6)) (* 3/4 (/ 1 (pow x 4)))) 4))
(.f32 (.f32 x x) (+.f32 #s(literal -4 binary32) (+.f32 (/.f32 #s(literal 3/4 binary32) (.f32 x (.f32 x (*.f32 x x)))) (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 6 binary32))))))
(* (pow x 2) (- (+ (/ 1/4 (pow x 6)) (* 3/4 (/ 1 (pow x 4)))) (+ 4 (* 1/64 (/ 1 (pow x 8))))))
(.f32 (.f32 x x) (+.f32 #s(literal -4 binary32) (+.f32 (/.f32 #s(literal 3/4 binary32) (.f32 x (.f32 x (*.f32 x x)))) (-.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/64 binary32) (pow.f32 x #s(literal 8 binary32)))))))
(/ 1/256 (pow x 10))
(/.f32 #s(literal 1/256 binary32) (pow.f32 x #s(literal 10 binary32)))
(/ (+ 1/256 (* 1/64 (pow x 2))) (pow x 10))
(/.f32 (+.f32 #s(literal 1/256 binary32) (.f32 (.f32 x x) #s(literal 1/64 binary32))) (pow.f32 x #s(literal 10 binary32)))
(/ (+ 1/256 (* (pow x 2) (+ 1/64 (* 1/64 (pow x 2))))) (pow x 10))
(/.f32 (+.f32 #s(literal 1/256 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/64 binary32) (.f32 (.f32 x x) #s(literal 1/64 binary32)))))) (pow.f32 x #s(literal 10 binary32)))
(/ (+ 1/256 (* (pow x 2) (+ 1/64 (* (pow x 2) (+ 1/64 (* -1/4 (pow x 2))))))) (pow x 10))
(/.f32 (+.f32 #s(literal 1/256 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/64 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/64 binary32) (.f32 (.f32 x x) #s(literal -1/4 binary32))))))))) (pow.f32 x #s(literal 10 binary32)))
(* 4 (pow x 2))
(.f32 (.f32 x x) #s(literal 4 binary32))
(* (pow x 2) (- 4 (* 1/2 (/ 1 (pow x 4)))))
(.f32 (.f32 x x) (+.f32 #s(literal 4 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x (.f32 x (*.f32 x x))))))
(* (pow x 2) (+ 4 (* -1 (/ (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (pow x 4)))))
(.f32 x (.f32 x (+.f32 #s(literal 4 binary32) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))
(* (pow x 2) (- (+ 4 (* 1/64 (/ 1 (pow x 8)))) (+ (/ 1/4 (pow x 6)) (* 1/2 (/ 1 (pow x 4))))))
(.f32 (.f32 x x) (-.f32 (+.f32 (/.f32 #s(literal 1/64 binary32) (pow.f32 x #s(literal 8 binary32))) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 6 binary32)))) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x (*.f32 x x)))) #s(literal 4 binary32))))
(* 4 (pow x 2))
(.f32 (.f32 x x) #s(literal 4 binary32))
(* (pow x 2) (- 4 (* 1/2 (/ 1 (pow x 4)))))
(.f32 (.f32 x x) (+.f32 #s(literal 4 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x (.f32 x (*.f32 x x))))))
(* (pow x 2) (+ 4 (* -1 (/ (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (pow x 4)))))
(.f32 x (.f32 x (+.f32 #s(literal 4 binary32) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))
(* (pow x 2) (- (+ 4 (* 1/64 (/ 1 (pow x 8)))) (+ (/ 1/4 (pow x 6)) (* 1/2 (/ 1 (pow x 4))))))
(.f32 (.f32 x x) (-.f32 (+.f32 (/.f32 #s(literal 1/64 binary32) (pow.f32 x #s(literal 8 binary32))) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 6 binary32)))) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x (.f32 x (*.f32 x x)))) #s(literal 4 binary32))))
(+ (log 2) (log x))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(+ (log 2) (log x))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(+ (log 2) (log x))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(+ (log 2) (log x))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+.f32 (log.f32 #s(literal 2 binary32)) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+.f32 (log.f32 #s(literal 2 binary32)) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+.f32 (log.f32 #s(literal 2 binary32)) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+.f32 (log.f32 #s(literal 2 binary32)) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 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)))
(+ (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))
(/ 1/4 (pow x 2))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
(/ 1/4 (pow x 2))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
(/ 1/4 (pow x 2))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
(/ 1/4 (pow x 2))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
(/ 1/4 (pow x 2))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
(/ 1/4 (pow x 2))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
(/ 1/4 (pow x 2))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
(/ 1/4 (pow x 2))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
(/ 1/4 (pow x 2))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
(/ 1/4 (pow x 2))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
(/ 1/4 (pow x 2))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
(/ 1/4 (pow x 2))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))

eval279.0ms (3.4%)

Compiler: Compiled 64925 to 3895 computations (94% saved)

prune169.0ms (2.1%)

Pruning

20 alts after pruning (13 fresh and 7 done)

	Pruned	Kept	Total
New	1170	5	1175
Fresh	5	8	13
Picked	2	3	5
Done	0	4	4
Total	1177	20	1197

Accuracy

100.0%

Counts

1197 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.9%	(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))))
▶	96.7%	(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
	48.1%	(log.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (.f32 (.f32 x x) (.f32 (+.f32 (/.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 2 binary32)) (+.f32 (/.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 2 binary32))))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x (.f32 x x)))) #s(literal 2 binary32))))))
▶	48.3%	(log.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (.f32 x (.f32 x (+.f32 #s(literal 4 binary32) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.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)))) #s(literal 2 binary32))))))
	6.6%	(log.f32 (/.f32 (-.f32 (.f32 (+.f32 (/.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))))))) (+.f32 (/.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)))))))) (.f32 x x)) (-.f32 (+.f32 (/.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))))))) x)))
	33.2%	(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 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))))))))
	97.3%	(log.f32 (/.f32 (.f32 (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) (.f32 x x)) (/.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 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)))))
▶	49.9%	(log.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))))
	98.4%	(log.f32 (-.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)))) #s(literal 2 binary32))) (/.f32 #s(literal 1/2 binary32) x)))
▶	98.4%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (+.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)))))) x)))
✓	98.4%	(log.f32 (+.f32 (+.f32 (/.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))))))) x))
	98.0%	(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)))
▶	48.0%	(log.f32 (+.f32 (.f32 #s(literal 1 binary32) (/.f32 (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)) x)) (/.f32 #s(literal -1/8 binary32) (.f32 x (*.f32 x x)))))
✓	98.0%	(log.f32 (+.f32 x (-.f32 x (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x))))
✓	97.4%	(log.f32 (+.f32 x (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))
✓	49.9%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	49.9%	(log.f32 (+.f32 x (sqrt.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))))
✓	96.0%	(log.f32 (+.f32 x x))
✓	98.0%	(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)))))
	97.4%	(log.f32 (.f32 x (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))))

Compiler

Compiled 913 to 457 computations (49.9% saved)

simplify200.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
✓	cost-diff	128	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)))))
✓	cost-diff	128	(log.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))))
✓	cost-diff	128	(.f32 x (.f32 x (+.f32 #s(literal 4 binary32) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))
✓	cost-diff	128	(-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (.f32 x (.f32 x (+.f32 #s(literal 4 binary32) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x))))))))
✓	cost-diff	192	(/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (.f32 x (.f32 x (+.f32 #s(literal 4 binary32) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.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)))) #s(literal 2 binary32)))))
✓	cost-diff	192	(log.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (.f32 x (.f32 x (+.f32 #s(literal 4 binary32) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.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)))) #s(literal 2 binary32))))))
✓	cost-diff	0	(/.f32 (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)) x)
✓	cost-diff	64	(.f32 #s(literal 1 binary32) (/.f32 (+.f32 (.f32 x (*.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)) x))
✓	cost-diff	64	(+.f32 (.f32 #s(literal 1 binary32) (/.f32 (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)) x)) (/.f32 #s(literal -1/8 binary32) (.f32 x (*.f32 x x))))
✓	cost-diff	64	(log.f32 (+.f32 (.f32 #s(literal 1 binary32) (/.f32 (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)) x)) (/.f32 #s(literal -1/8 binary32) (.f32 x (*.f32 x x)))))
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) x)
✓	cost-diff	0	(log.f32 (/.f32 #s(literal 1/2 binary32) x))
✓	cost-diff	0	(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
✓	cost-diff	128	(.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))))))
✓	cost-diff	128	(+.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)))))) x)
✓	cost-diff	128	(+.f32 (/.f32 #s(literal -1/2 binary32) x) (+.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)))))) x))
✓	cost-diff	128	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (+.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)))))) x)))

Rules

2226×	`-lowering-.f32`
2226×	`-lowering-.f64`
1402×	`/-lowering-/.f32`
1402×	`/-lowering-/.f64`
1016×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	533
1	142	486
2	377	473
3	1230	462
4	4080	462
0	8368	462

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(log (+ (/ -1/2 x) (+ (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) x)))
(+ (/ -1/2 x) (+ (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) x))
(/ -1/2 x)
-1/2
x
(+ (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) x)
(* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))
(+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))
1
(/ (+ -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))
(neg (log (/ 1/2 x)))
(log (/ 1/2 x))
(/ 1/2 x)
1/2
x
(log (+ (* 1 (/ (+ (* x (* x 2)) -1/2) x)) (/ -1/8 (* x (* x x)))))
(+ (* 1 (/ (+ (* x (* x 2)) -1/2) x)) (/ -1/8 (* x (* x x))))
(* 1 (/ (+ (* x (* x 2)) -1/2) x))
1
(/ (+ (* x (* x 2)) -1/2) x)
(+ (* x (* x 2)) -1/2)
(* x (* x 2))
x
(* x 2)
2
-1/2
(/ -1/8 (* x (* x x)))
-1/8
(* x (* x x))
(* x x)
(log (/ (- (/ 1/4 (* x x)) (* x (* x (+ 4 (/ (- -1/2 (/ 1/4 (* x x))) (* x (* x (* x x)))))))) (- (/ -1/2 x) (* x (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) 2)))))
(/ (- (/ 1/4 (* x x)) (* x (* x (+ 4 (/ (- -1/2 (/ 1/4 (* x x))) (* x (* x (* x x)))))))) (- (/ -1/2 x) (* x (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) 2))))
(- (/ 1/4 (* x x)) (* x (* x (+ 4 (/ (- -1/2 (/ 1/4 (* x x))) (* x (* x (* x x))))))))
(/ 1/4 (* x x))
1/4
(* x x)
x
(* x (* x (+ 4 (/ (- -1/2 (/ 1/4 (* x x))) (* x (* x (* x x)))))))
(* x (+ 4 (/ (- -1/2 (/ 1/4 (* x x))) (* x (* x (* x x))))))
(+ 4 (/ (- -1/2 (/ 1/4 (* x x))) (* x (* x (* x x)))))
4
(/ (- -1/2 (/ 1/4 (* x x))) (* x (* x (* x x))))
(- -1/2 (/ 1/4 (* x x)))
-1/2
(* x (* x (* x x)))
(* x (* x x))
(- (/ -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))
(+ (/ (+ -1/8 (/ -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
2
(log (/ 1 (/ 1 (+ x (pow (+ (* x x) -1) 1/2)))))
(/ 1 (/ 1 (+ x (pow (+ (* x x) -1) 1/2))))
1
(/ 1 (+ x (pow (+ (* x x) -1) 1/2)))
(+ x (pow (+ (* x x) -1) 1/2))
x
(pow (+ (* x x) -1) 1/2)
(+ (* x x) -1)
(* x x)
-1
1/2

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

localize253.0ms (3.1%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(/.f32 #s(literal 1 binary32) (+.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
✓	accuracy	99.4%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)))))
✓	accuracy	99.2%	(log.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))))
✓	accuracy	53.7%	(pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))
✓	accuracy	98.4%	(/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/4 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 1/4 binary32) (*.f32 x x))
✓	accuracy	53.0%	(/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (.f32 x (.f32 x (+.f32 #s(literal 4 binary32) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.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)))) #s(literal 2 binary32)))))
✓	accuracy	99.8%	(.f32 x (.f32 x x))
✓	accuracy	99.2%	(log.f32 (+.f32 (.f32 #s(literal 1 binary32) (/.f32 (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)) x)) (/.f32 #s(literal -1/8 binary32) (.f32 x (*.f32 x x)))))
✓	accuracy	97.8%	(/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x)))
✓	accuracy	53.6%	(/.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%	(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
✓	accuracy	100.0%	(log.f32 (/.f32 #s(literal 1/2 binary32) x))
✓	accuracy	99.8%	(.f32 x (.f32 x x))
✓	accuracy	99.2%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (+.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)))))) x)))
✓	accuracy	98.7%	(/.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

151.0ms

256×

valid

Compiler

Compiled 659 to 52 computations (92.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-div: 22.0ms (27.4% of total)

ival-mult: 17.0ms (21.2% of total)

ival-log: 14.0ms (17.5% of total)

ival-add: 13.0ms (16.2% of total)

ival-pow: 8.0ms (10% of total)

ival-sub: 4.0ms (5% of total)

const: 2.0ms (2.5% of total)

ival-neg: 1.0ms (1.2% of total)

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

series62.0ms (0.8%)

Counts

26 → 312

Calls

Call 1

Inputs
#<alt (log (+ (/ -1/2 x) (+ (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) x)))>
#<alt (+ (/ -1/2 x) (+ (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) x))>
#<alt (+ (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) x)>
#<alt (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))>
#<alt (neg (log (/ 1/2 x)))>
#<alt (log (/ 1/2 x))>
#<alt (/ 1/2 x)>
#<alt (log (+ (* 1 (/ (+ (* x (* x 2)) -1/2) x)) (/ -1/8 (* x (* x x)))))>
#<alt (+ (* 1 (/ (+ (* x (* x 2)) -1/2) x)) (/ -1/8 (* x (* x x))))>
#<alt (* 1 (/ (+ (* x (* x 2)) -1/2) x))>
#<alt (/ (+ (* x (* x 2)) -1/2) x)>
#<alt (log (/ (- (/ 1/4 (* x x)) (* x (* x (+ 4 (/ (- -1/2 (/ 1/4 (* x x))) (* x (* x (* x x)))))))) (- (/ -1/2 x) (* x (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) 2)))))>
#<alt (/ (- (/ 1/4 (* x x)) (* x (* x (+ 4 (/ (- -1/2 (/ 1/4 (* x x))) (* x (* x (* x x)))))))) (- (/ -1/2 x) (* x (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) 2))))>
#<alt (- (/ 1/4 (* x x)) (* x (* x (+ 4 (/ (- -1/2 (/ 1/4 (* x x))) (* x (* x (* x x))))))))>
#<alt (* x (* x (+ 4 (/ (- -1/2 (/ 1/4 (* x x))) (* x (* x (* x x)))))))>
#<alt (log (/ 1 (/ 1 (+ x (pow (+ (* x x) -1) 1/2)))))>
#<alt (/ 1 (/ 1 (+ x (pow (+ (* x x) -1) 1/2))))>
#<alt (/ 1 (+ x (pow (+ (* x x) -1) 1/2)))>
#<alt (+ x (pow (+ (* x x) -1) 1/2))>
#<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 x)))>
#<alt (/ 1/4 (* x x))>
#<alt (/ (- -1/2 (/ 1/4 (* x x))) (* x (* x (* x x))))>
#<alt (pow (+ (* x x) -1) 1/2)>

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 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (pow x 4) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (pow x 4) 1/8)) 1/16) (pow x 5))>
#<alt x>
#<alt (* x (- 1 (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 1)))>
#<alt (* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 1)))>
#<alt (* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 1)))>
#<alt (* -1 (+ (log 1/2) (* -1 (log x))))>
#<alt (* -1 (+ (log 1/2) (* -1 (log x))))>
#<alt (* -1 (+ (log 1/2) (* -1 (log x))))>
#<alt (* -1 (+ (log 1/2) (* -1 (log x))))>
#<alt (* -1 (+ (log 1/2) (log (/ 1 x))))>
#<alt (* -1 (+ (log 1/2) (log (/ 1 x))))>
#<alt (* -1 (+ (log 1/2) (log (/ 1 x))))>
#<alt (* -1 (+ (log 1/2) (log (/ 1 x))))>
#<alt (* -1 (+ (log -1/2) (log (/ -1 x))))>
#<alt (* -1 (+ (log -1/2) (log (/ -1 x))))>
#<alt (* -1 (+ (log -1/2) (log (/ -1 x))))>
#<alt (* -1 (+ (log -1/2) (log (/ -1 x))))>
#<alt (+ (log 1/2) (* -1 (log x)))>
#<alt (+ (log 1/2) (* -1 (log x)))>
#<alt (+ (log 1/2) (* -1 (log x)))>
#<alt (+ (log 1/2) (* -1 (log x)))>
#<alt (+ (log 1/2) (log (/ 1 x)))>
#<alt (+ (log 1/2) (log (/ 1 x)))>
#<alt (+ (log 1/2) (log (/ 1 x)))>
#<alt (+ (log 1/2) (log (/ 1 x)))>
#<alt (+ (log -1/2) (log (/ -1 x)))>
#<alt (+ (log -1/2) (log (/ -1 x)))>
#<alt (+ (log -1/2) (log (/ -1 x)))>
#<alt (+ (log -1/2) (log (/ -1 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 -1/8) (* -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 (/ -1/2 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 (/ (- (* 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 (+ (log 4) (log x))>
#<alt (+ (log 4) (+ (log x) (pow x 2)))>
#<alt (+ (log 4) (+ (log x) (* (pow x 2) (+ 1 (* 11/2 (pow x 2))))))>
#<alt (+ (log 4) (+ (log x) (* (pow x 2) (+ 1 (* (pow x 2) (+ 11/2 (* 19/3 (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 (* 4 x)>
#<alt (* x (+ 4 (* 4 (pow x 2))))>
#<alt (* x (+ 4 (* (pow x 2) (+ 4 (* 24 (pow x 2))))))>
#<alt (* x (+ 4 (* (pow x 2) (+ 4 (* (pow x 2) (+ 24 (* 48 (pow x 2))))))))>
#<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 (/ 1/4 (pow x 4))>
#<alt (/ (+ 1/4 (* 3/4 (pow x 2))) (pow x 4))>
#<alt (/ (+ 1/4 (* (pow x 2) (+ 3/4 (* -4 (pow x 4))))) (pow x 4))>
#<alt (/ (+ 1/4 (* (pow x 2) (+ 3/4 (* -4 (pow x 4))))) (pow x 4))>
#<alt (* -4 (pow x 2))>
#<alt (* (pow x 2) (- (* 3/4 (/ 1 (pow x 4))) 4))>
#<alt (* (pow x 2) (- (+ (/ 1/4 (pow x 6)) (* 3/4 (/ 1 (pow x 4)))) 4))>
#<alt (* (pow x 2) (- (+ (/ 1/4 (pow x 6)) (* 3/4 (/ 1 (pow x 4)))) 4))>
#<alt (* -4 (pow x 2))>
#<alt (* (pow x 2) (- (* 3/4 (/ 1 (pow x 4))) 4))>
#<alt (* (pow x 2) (- (+ (/ 1/4 (pow x 6)) (* 3/4 (/ 1 (pow x 4)))) 4))>
#<alt (* (pow x 2) (- (+ (/ 1/4 (pow x 6)) (* 3/4 (/ 1 (pow x 4)))) 4))>
#<alt (/ -1/4 (pow x 4))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/4) (pow x 4))>
#<alt (/ (- (* (pow x 2) (- (* 4 (pow x 4)) 1/2)) 1/4) (pow x 4))>
#<alt (/ (- (* (pow x 2) (- (* 4 (pow x 4)) 1/2)) 1/4) (pow x 4))>
#<alt (* 4 (pow x 2))>
#<alt (* (pow x 2) (- 4 (* 1/2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 2) (+ 4 (* -1 (/ (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt (* (pow x 2) (+ 4 (* -1 (/ (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt (* 4 (pow x 2))>
#<alt (* (pow x 2) (- 4 (* 1/2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 2) (+ 4 (* -1 (/ (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt (* (pow x 2) (+ 4 (* -1 (/ (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (pow x 4)))))>
#<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 (/ 1 (sqrt -1))>
#<alt (+ (* -1 (/ x (pow (sqrt -1) 2))) (/ 1 (sqrt -1)))>
#<alt (+ (* x (- (* 1/2 (/ x (pow (sqrt -1) 3))) (/ 1 (pow (sqrt -1) 2)))) (/ 1 (sqrt -1)))>
#<alt (+ (* x (- (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (pow (sqrt -1) 2)))) (/ 1 (sqrt -1)))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)>
#<alt (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x)>
#<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 (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 (/ -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 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 6))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/4) (pow x 6))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/4) (pow x 6))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/4) (pow x 6))>
#<alt (/ -1/2 (pow x 4))>
#<alt (* -1 (/ (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (/ -1/2 (pow x 4))>
#<alt (* -1 (/ (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (pow x 4)))>
#<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))))))>

Calls

78 calls:

Time	Variable		Point	Expression
31.0ms	x	@	-inf	(neg (log (/ 1/2 x)))
12.0ms	x	@	0	(neg (log (/ 1/2 x)))
6.0ms	x	@	inf	(neg (log (/ 1/2 x)))
1.0ms	x	@	0	(log (/ (- (/ 1/4 (* x x)) (* x (* x (+ 4 (/ (- -1/2 (/ 1/4 (* x x))) (* x (* x (* x x)))))))) (- (/ -1/2 x) (* x (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) 2)))))
0.0ms	x	@	0	(/ 1 (+ x (pow (+ (* x x) -1) 1/2)))

rewrite370.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3570×	`-lowering-.f32`
3570×	`-lowering-.f64`
2016×	`/-lowering-/.f32`
2016×	`/-lowering-/.f64`
1512×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	334
1	380	303
2	4086	288
0	8716	288

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 738

Calls

Call 1

Inputs
(log (+ (/ -1/2 x) (+ (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) x)))
(+ (/ -1/2 x) (+ (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) x))
(+ (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) x)
(* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))
(neg (log (/ 1/2 x)))
(log (/ 1/2 x))
(/ 1/2 x)
(log (+ (* 1 (/ (+ (* x (* x 2)) -1/2) x)) (/ -1/8 (* x (* x x)))))
(+ (* 1 (/ (+ (* x (* x 2)) -1/2) x)) (/ -1/8 (* x (* x x))))
(* 1 (/ (+ (* x (* x 2)) -1/2) x))
(/ (+ (* x (* x 2)) -1/2) x)
(log (/ (- (/ 1/4 (* x x)) (* x (* x (+ 4 (/ (- -1/2 (/ 1/4 (* x x))) (* x (* x (* x x)))))))) (- (/ -1/2 x) (* x (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) 2)))))
(/ (- (/ 1/4 (* x x)) (* x (* x (+ 4 (/ (- -1/2 (/ 1/4 (* x x))) (* x (* x (* x x)))))))) (- (/ -1/2 x) (* x (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) 2))))
(- (/ 1/4 (* x x)) (* x (* x (+ 4 (/ (- -1/2 (/ 1/4 (* x x))) (* x (* x (* x x))))))))
(* x (* x (+ 4 (/ (- -1/2 (/ 1/4 (* x x))) (* x (* x (* x x)))))))
(log (/ 1 (/ 1 (+ x (pow (+ (* x x) -1) 1/2)))))
(/ 1 (/ 1 (+ x (pow (+ (* x x) -1) 1/2))))
(/ 1 (+ x (pow (+ (* x x) -1) 1/2)))
(+ x (pow (+ (* x x) -1) 1/2))
(/ -1/16 (* x x))
(/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))
(* x (* x x))
(/ -1/8 (* x (* x x)))
(/ 1/4 (* x x))
(/ (- -1/2 (/ 1/4 (* x x))) (* x (* x (* x x))))
(pow (+ (* x x) -1) 1/2)

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

simplify316.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

4420×	`+-lowering-+.f64`
4420×	`+-lowering-+.f32`
3790×	`-lowering-.f32`
3790×	`-lowering-.f64`
1206×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	390	3191
1	1130	2750
2	3638	2722
0	8320	2722

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

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 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (pow x 4) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (pow x 4) 1/8)) 1/16) (pow x 5))
x
(* x (- 1 (* 1/8 (/ 1 (pow x 4)))))
(* x (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(* x (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
x
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 1)))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 1)))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 1)))
(* -1 (+ (log 1/2) (* -1 (log x))))
(* -1 (+ (log 1/2) (* -1 (log x))))
(* -1 (+ (log 1/2) (* -1 (log x))))
(* -1 (+ (log 1/2) (* -1 (log x))))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(* -1 (+ (log -1/2) (log (/ -1 x))))
(* -1 (+ (log -1/2) (log (/ -1 x))))
(* -1 (+ (log -1/2) (log (/ -1 x))))
(* -1 (+ (log -1/2) (log (/ -1 x))))
(+ (log 1/2) (* -1 (log x)))
(+ (log 1/2) (* -1 (log x)))
(+ (log 1/2) (* -1 (log x)))
(+ (log 1/2) (* -1 (log x)))
(+ (log 1/2) (log (/ 1 x)))
(+ (log 1/2) (log (/ 1 x)))
(+ (log 1/2) (log (/ 1 x)))
(+ (log 1/2) (log (/ 1 x)))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (log (/ -1 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 -1/8) (* -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)))
(/ -1/2 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)
(/ (- (* 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)))
(+ (log 4) (log x))
(+ (log 4) (+ (log x) (pow x 2)))
(+ (log 4) (+ (log x) (* (pow x 2) (+ 1 (* 11/2 (pow x 2))))))
(+ (log 4) (+ (log x) (* (pow x 2) (+ 1 (* (pow x 2) (+ 11/2 (* 19/3 (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))))
(* 4 x)
(* x (+ 4 (* 4 (pow x 2))))
(* x (+ 4 (* (pow x 2) (+ 4 (* 24 (pow x 2))))))
(* x (+ 4 (* (pow x 2) (+ 4 (* (pow x 2) (+ 24 (* 48 (pow x 2))))))))
(* 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)))
(/ 1/4 (pow x 4))
(/ (+ 1/4 (* 3/4 (pow x 2))) (pow x 4))
(/ (+ 1/4 (* (pow x 2) (+ 3/4 (* -4 (pow x 4))))) (pow x 4))
(/ (+ 1/4 (* (pow x 2) (+ 3/4 (* -4 (pow x 4))))) (pow x 4))
(* -4 (pow x 2))
(* (pow x 2) (- (* 3/4 (/ 1 (pow x 4))) 4))
(* (pow x 2) (- (+ (/ 1/4 (pow x 6)) (* 3/4 (/ 1 (pow x 4)))) 4))
(* (pow x 2) (- (+ (/ 1/4 (pow x 6)) (* 3/4 (/ 1 (pow x 4)))) 4))
(* -4 (pow x 2))
(* (pow x 2) (- (* 3/4 (/ 1 (pow x 4))) 4))
(* (pow x 2) (- (+ (/ 1/4 (pow x 6)) (* 3/4 (/ 1 (pow x 4)))) 4))
(* (pow x 2) (- (+ (/ 1/4 (pow x 6)) (* 3/4 (/ 1 (pow x 4)))) 4))
(/ -1/4 (pow x 4))
(/ (- (* -1/2 (pow x 2)) 1/4) (pow x 4))
(/ (- (* (pow x 2) (- (* 4 (pow x 4)) 1/2)) 1/4) (pow x 4))
(/ (- (* (pow x 2) (- (* 4 (pow x 4)) 1/2)) 1/4) (pow x 4))
(* 4 (pow x 2))
(* (pow x 2) (- 4 (* 1/2 (/ 1 (pow x 4)))))
(* (pow x 2) (+ 4 (* -1 (/ (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (pow x 4)))))
(* (pow x 2) (+ 4 (* -1 (/ (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (pow x 4)))))
(* 4 (pow x 2))
(* (pow x 2) (- 4 (* 1/2 (/ 1 (pow x 4)))))
(* (pow x 2) (+ 4 (* -1 (/ (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (pow x 4)))))
(* (pow x 2) (+ 4 (* -1 (/ (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (pow x 4)))))
(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))
(/ 1 (sqrt -1))
(+ (* -1 (/ x (pow (sqrt -1) 2))) (/ 1 (sqrt -1)))
(+ (* x (- (* 1/2 (/ x (pow (sqrt -1) 3))) (/ 1 (pow (sqrt -1) 2)))) (/ 1 (sqrt -1)))
(+ (* x (- (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (pow (sqrt -1) 2)))) (/ 1 (sqrt -1)))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x)
(* 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)))
(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))
(/ -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 3))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ -1/4 (pow x 6))
(/ (- (* -1/2 (pow x 2)) 1/4) (pow x 6))
(/ (- (* -1/2 (pow x 2)) 1/4) (pow x 6))
(/ (- (* -1/2 (pow x 2)) 1/4) (pow x 6))
(/ -1/2 (pow x 4))
(* -1 (/ (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (pow x 4)))
(/ -1/2 (pow x 4))
(* -1 (/ (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (pow x 4)))
(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))))))

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

eval236.0ms (2.9%)

Compiler: Compiled 53190 to 4522 computations (91.5% saved)

prune282.0ms (3.5%)

Pruning

24 alts after pruning (15 fresh and 9 done)

	Pruned	Kept	Total
New	1247	9	1256
Fresh	2	6	8
Picked	3	2	5
Done	0	7	7
Total	1252	24	1276

Accuracy

100.0%

Counts

1276 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.9%	(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))))
	48.3%	(neg.f32 (log.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.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)))) #s(literal 2 binary32)))) (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (.f32 (.f32 x x) (+.f32 #s(literal 4 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/4 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))))))
✓	96.7%	(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
	16.4%	(log.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 3/4 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) #s(literal -4 binary32))))) (.f32 (.f32 x x) (.f32 x x))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.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)))) #s(literal 2 binary32))))))
	48.3%	(log.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (/.f32 (.f32 (.f32 x x) (-.f32 #s(literal 16 binary32) (/.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/4 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))) (/.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/4 binary32) (.f32 x x))))))) (-.f32 #s(literal 4 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/4 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.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)))) #s(literal 2 binary32))))))
	48.1%	(log.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (.f32 x (.f32 x (+.f32 #s(literal 4 binary32) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (*.f32 x x))) #s(literal 2 binary32))))))
	6.6%	(log.f32 (/.f32 (-.f32 (.f32 (+.f32 (/.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))))))) (+.f32 (/.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)))))))) (.f32 x x)) (-.f32 (+.f32 (/.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))))))) x)))
	33.2%	(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 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))))))))
	97.2%	(log.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)))
	49.9%	(log.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)))))))
	48.0%	(log.f32 (-.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (.f32 x (/.f32 x #s(literal 1/2 binary32)))) x) (/.f32 #s(literal 1/8 binary32) (.f32 x (*.f32 x x)))))
	98.4%	(log.f32 (-.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)))) #s(literal 2 binary32))) (/.f32 #s(literal 1/2 binary32) x)))
	48.0%	(log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (+.f32 #s(literal -1/2 binary32) (.f32 x (/.f32 x #s(literal 1/2 binary32)))))) (/.f32 #s(literal -1/8 binary32) (.f32 x (*.f32 x x)))))
	3.9%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (/.f32 (-.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (+.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 (+.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 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))))))))))
✓	98.4%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (+.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)))))) x)))
✓	98.4%	(log.f32 (+.f32 (+.f32 (/.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))))))) x))
	98.0%	(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)))
✓	98.0%	(log.f32 (+.f32 x (-.f32 x (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x))))
✓	97.4%	(log.f32 (+.f32 x (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))
✓	49.9%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	49.9%	(log.f32 (+.f32 x (sqrt.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))))
✓	96.0%	(log.f32 (+.f32 x x))
✓	98.0%	(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)))))
	97.4%	(log.f32 (.f32 x (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))))

Compiler

Compiled 1905 to 576 computations (69.8% saved)

regimes37.0ms (0.5%)

Counts

41 → 1

Calls

Call 1

Inputs
(log.f32 (+.f32 x x))
(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
(log.f32 (+.f32 x (-.f32 x (/.f32 #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 x (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))))
(log.f32 (+.f32 x (+.f32 x (*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)))))
(log.f32 (+.f32 x (/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x)))))
(log.f32 (/.f32 #s(literal 1 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 (.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 #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 (+.f32 #s(literal -1/2 binary32) (.f32 x (/.f32 x #s(literal 1/2 binary32)))) x) (/.f32 #s(literal 1/8 binary32) (.f32 x (*.f32 x x)))))
(log.f32 (+.f32 (.f32 #s(literal 1 binary32) (/.f32 (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)) x)) (/.f32 #s(literal -1/8 binary32) (.f32 x (*.f32 x x)))))
(log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (+.f32 #s(literal -1/2 binary32) (.f32 x (/.f32 x #s(literal 1/2 binary32)))))) (/.f32 #s(literal -1/8 binary32) (.f32 x (*.f32 x x)))))
(log.f32 (-.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)))) #s(literal 2 binary32))) (/.f32 #s(literal 1/2 binary32) 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 (+.f32 (/.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))))))) x))
(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (+.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)))))) 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 #s(literal 4 binary32) (/.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) (.f32 x x)) (/.f32 (.f32 x x) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 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)))))
(log.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (.f32 x (.f32 x (+.f32 #s(literal 4 binary32) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (*.f32 x x))) #s(literal 2 binary32))))))
(log.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/4 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 3/4 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) #s(literal -4 binary32))))) (.f32 (.f32 x x) (.f32 x x))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.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)))) #s(literal 2 binary32))))))
(log.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (.f32 x (.f32 x (+.f32 #s(literal 4 binary32) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.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)))) #s(literal 2 binary32))))))
(neg.f32 (log.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.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)))) #s(literal 2 binary32)))) (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (.f32 (.f32 x x) (+.f32 #s(literal 4 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/4 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))))))
(log.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (.f32 (.f32 x x) (.f32 (+.f32 (/.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 2 binary32)) (+.f32 (/.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 2 binary32))))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x (.f32 x x)))) #s(literal 2 binary32))))))
(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (/.f32 (-.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (+.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 (+.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 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 #s(literal 1/4 binary32) (.f32 x x)) (.f32 (.f32 x x) (.f32 (+.f32 (/.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 2 binary32)) (+.f32 (/.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 2 binary32))))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.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)))) #s(literal 2 binary32))))))
(log.f32 (.f32 (.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.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)))) #s(literal 2 binary32)))) (-.f32 x (+.f32 (/.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))))))))) (/.f32 #s(literal 1 binary32) (-.f32 x (+.f32 (/.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 (/.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))))))) (+.f32 (/.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)))))))) (.f32 x x)) (-.f32 (+.f32 (/.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))))))) x)))
(log.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (/.f32 (.f32 (.f32 x x) (-.f32 #s(literal 16 binary32) (/.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/4 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))) (/.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/4 binary32) (.f32 x x))))))) (-.f32 #s(literal 4 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/4 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.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)))) #s(literal 2 binary32))))))
(log.f32 (-.f32 (/.f32 (.f32 x x) (-.f32 x (+.f32 (/.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))))))))) (/.f32 (.f32 (+.f32 (/.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))))))) (+.f32 (/.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)))))))) (-.f32 x (+.f32 (/.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)))))))))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(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))))))
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
(+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(log.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)))))))
(log.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.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))))
(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 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))))))))

Outputs

(log.f32 (+.f32 (+.f32 (/.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))))))) x))

Calls

3 calls:

13.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
11.0ms	x
10.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Results

Accuracy	Segments	Branch
98.4%	1	`x`
98.4%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
98.4%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

16 → 1

Calls

Call 1

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

Outputs

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
98.4%	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))
(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
(log.f32 (+.f32 x (-.f32 x (/.f32 #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 x (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))))
(log.f32 (+.f32 x (+.f32 x (*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)))))
(log.f32 (+.f32 x (/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x)))))
(log.f32 (/.f32 #s(literal 1 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 (.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 #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 (+.f32 #s(literal -1/2 binary32) (.f32 x (/.f32 x #s(literal 1/2 binary32)))) x) (/.f32 #s(literal 1/8 binary32) (.f32 x (*.f32 x x)))))
(log.f32 (+.f32 (.f32 #s(literal 1 binary32) (/.f32 (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)) x)) (/.f32 #s(literal -1/8 binary32) (.f32 x (*.f32 x x)))))
(log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (+.f32 #s(literal -1/2 binary32) (.f32 x (/.f32 x #s(literal 1/2 binary32)))))) (/.f32 #s(literal -1/8 binary32) (.f32 x (*.f32 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
98.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
97.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
97.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
96.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(log.f32 (+.f32 x x))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
96.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify50.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

384×	`unsub-neg_binary32`
272×	`distribute-lft-neg-in_binary32`
240×	`neg-mul-1_binary32`
194×	`cancel-sign-sub_binary32`
176×	`neg-sub0_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	91
1	67	91
2	90	91
3	112	91
4	143	91
5	184	91
6	221	91
7	351	91
8	588	91
9	771	91
10	934	91
11	1091	91
12	1158	91
13	1186	91
14	1189	91

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.5s (18%)

Rules

4096×	`+-lowering-+.f64`
4096×	`+-lowering-+.f32`
3240×	`-lowering-.f32`
3240×	`-lowering-.f64`
3022×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	314
1	310	243
2	3459	233
0	8127	233
0	353	2802
1	1030	2302
2	3636	2285
0	8365	2285
0	39	254
1	277	211
2	3056	204
0	8166	204
0	150	548
1	432	457
2	1373	445
3	4237	434
0	8342	434

Stop Event

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

Compiler

Compiled 131 to 71 computations (45.8% saved)

preprocess54.0ms (0.7%)

Compiler: Compiled 230 to 114 computations (50.4% saved)

analyze0.0ms (0%)

sample525.0ms (6.5%)

preprocess161.0ms (2%)

explain106.0ms (1.3%)

eval0.0ms (0%)

prune14.0ms (0.2%)

simplify194.0ms (2.4%)

localize55.0ms (0.7%)

series5.0ms (0.1%)

rewrite282.0ms (3.5%)

simplify247.0ms (3%)

eval31.0ms (0.4%)

prune80.0ms (1%)

simplify196.0ms (2.4%)

localize225.0ms (2.8%)

series86.0ms (1.1%)

rewrite331.0ms (4.1%)

simplify262.0ms (3.2%)

eval143.0ms (1.8%)

prune212.0ms (2.6%)

simplify185.0ms (2.3%)

localize258.0ms (3.2%)

series68.0ms (0.8%)

rewrite395.0ms (4.9%)

simplify253.0ms (3.1%)

eval279.0ms (3.4%)

prune169.0ms (2.1%)

simplify200.0ms (2.5%)

localize253.0ms (3.1%)

series62.0ms (0.8%)

rewrite370.0ms (4.6%)

simplify316.0ms (3.9%)

eval236.0ms (2.9%)

prune282.0ms (3.5%)

regimes37.0ms (0.5%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

simplify50.0ms (0.6%)

soundness1.5s (18%)

preprocess54.0ms (0.7%)

end0.0ms (0%)

Profiling