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)

sample517.0ms (7.2%)

Results

390.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 194.0ms

ival-acosh: 138.0ms (71.2% of total)

ival->=: 45.0ms (23.2% of total)

const: 7.0ms (3.6% of total)

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

Bogosity

preprocess156.0ms (2.2%)

Algorithm

2×	egg-herbie

Rules

2004×	`fmsub-define`
1734×	`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	18	8
2	22	8
3	37	8
4	76	8
5	260	8
6	511	8
7	1114	8
8	3803	8
9	7956	8
0	8001	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 (1.5%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
125	-	-	`(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

37.0ms

512×

valid

Compiler

Compiled 80 to 23 computations (71.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-log: 5.0ms (24.6% of total)

ival-mult: 4.0ms (19.7% of total)

ival-sqrt: 4.0ms (19.7% of total)

ival-sub: 3.0ms (14.8% of total)

ival-add: 3.0ms (14.8% of total)

const: 1.0ms (4.9% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.3%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify142.0ms (2%)

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`
1734×	`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	29
1	18	29
2	22	29
3	37	29
4	76	29
5	260	29
6	511	29
7	1114	29
8	3803	29
9	7956	29
0	8001	29

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)

localize29.0ms (0.4%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f32 (*.f32 x x) #s(literal 1 binary32))
✓	accuracy	100.0%	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
✓	accuracy	99.3%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	accuracy	58.0%	(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))

Results

20.0ms

256×

valid

Compiler

Compiled 35 to 8 computations (77.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-log: 4.0ms (34.2% of total)

ival-mult: 2.0ms (17.1% of total)

ival-sqrt: 2.0ms (17.1% of total)

ival-sub: 1.0ms (8.6% of total)

ival-add: 1.0ms (8.6% of total)

const: 0.0ms (0% of total)

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

series4.0ms (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)

rewrite320.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2512×	`-lowering-.f32`
2512×	`-lowering-.f64`
1724×	`/-lowering-/.f32`
1724×	`/-lowering-/.f64`
1636×	`log-lowering-log.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
1	46	24
2	339	24
3	4183	24
0	8166	24

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 271

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

simplify206.0ms (2.9%)

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	497
2	1371	485
3	4235	468
0	8340	468

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

eval61.0ms (0.9%)

Compiler: Compiled 10102 to 1348 computations (86.7% saved)

prune49.0ms (0.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	314	5	319
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	314	6	320

Accuracy

100.0%

Counts

320 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.2%	(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
▶	98.9%	(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)))
▶	98.7%	(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x))))
▶	99.0%	(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))))))))
✓	54.3%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
▶	97.3%	(log.f32 (+.f32 x x))

Compiler

Compiled 138 to 99 computations (28.3% saved)

simplify146.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

2086×	`fma-define`
1892×	`sum3-define`
1402×	`+-lowering-+.f64`
1402×	`+-lowering-+.f32`
1392×	`-lowering-.f32`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	31	224
1	66	210
2	124	210
3	225	210
4	355	207
5	461	204
6	1097	202
7	3525	202
8	7128	202
0	8088	202

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize189.0ms (2.6%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f32 x)
✓	accuracy	100.0%	(log.f32 #s(literal 2 binary32))
✓	accuracy	99.1%	(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
✓	accuracy	100.0%	(*.f32 x #s(literal 2 binary32))
✓	accuracy	99.9%	(/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)
✓	accuracy	99.3%	(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) x)))
✓	accuracy	98.3%	(/.f32 #s(literal -1/8 binary32) (*.f32 x x))
✓	accuracy	100.0%	(+.f32 (.f32 x #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)))
✓	accuracy	100.0%	(*.f32 x #s(literal 2 binary32))
✓	accuracy	100.0%	(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x))
✓	accuracy	99.2%	(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x))))
✓	accuracy	100.0%	(+.f32 x x)
✓	accuracy	99.3%	(log.f32 (+.f32 x x))
✓	accuracy	99.7%	(.f32 x (.f32 x x))
✓	accuracy	99.3%	(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	98.8%	(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))
✓	accuracy	98.5%	(/.f32 #s(literal -1/16 binary32) (*.f32 x x))

Results

89.0ms

256×

valid

Compiler

Compiled 256 to 32 computations (87.5% saved)

Precisions

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

ival-add: 20.0ms (36.5% of total)

ival-log: 15.0ms (27.4% of total)

ival-div: 10.0ms (18.3% of total)

ival-mult: 10.0ms (18.3% of total)

const: 1.0ms (1.8% of total)

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

series198.0ms (2.8%)

Counts

19 → 216

Calls

Call 1

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

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

Calls

54 calls:

Time	Variable		Point	Expression
59.0ms	x	@	inf	(+ (log 2) (log x))
39.0ms	x	@	0	(log (+ x x))
30.0ms	x	@	-inf	(+ (log 2) (log x))
19.0ms	x	@	-inf	(log (+ x x))
18.0ms	x	@	0	(+ (log 2) (log x))

rewrite451.0ms (6.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3182×	`/-lowering-/.f32`
3182×	`/-lowering-/.f64`
2364×	`fma-lowering-fma.f32`
2364×	`fma-lowering-fma.f64`
2022×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	152
1	193	125
2	2209	122
0	8569	122

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 1644

Calls

Call 1

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

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

simplify311.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	233	1806
1	663	1686
2	2097	1648
3	6073	1648
0	8019	1648

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

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

eval216.0ms (3%)

Compiler: Compiled 53655 to 4347 computations (91.9% saved)

prune242.0ms (3.4%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	2199	4	2203
Fresh	0	0	0
Picked	2	3	5
Done	0	1	1
Total	2201	8	2209

Accuracy

100.0%

Counts

2209 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.0%	(-.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (/.f32 x #s(literal 2 binary32)))) (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (/.f32 x #s(literal 2 binary32)))))
✓	97.2%	(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
▶	99.0%	(log.f32 (-.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))) (/.f32 #s(literal 1/2 binary32) x)))
▶	98.7%	(log.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x) x))
✓	98.9%	(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)))
✓	54.3%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	97.3%	(log.f32 (+.f32 x x))
▶	99.0%	(log.f32 (.f32 x (+.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))))

Compiler

Compiled 117 to 75 computations (35.9% saved)

simplify170.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

2102×	`fma-lowering-fma.f32`
2102×	`fma-lowering-fma.f64`
1844×	`fmsub-define`
1808×	`sum3-define`
1794×	`fnmadd-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	35	325
1	76	298
2	168	298
3	378	298
4	776	285
5	2178	280
6	5494	280
0	8054	280

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize232.0ms (3.2%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(-.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (/.f32 x #s(literal 2 binary32)))) (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (/.f32 x #s(literal 2 binary32)))))
✓	accuracy	99.2%	(/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (/.f32 x #s(literal 2 binary32))))
✓	accuracy	98.9%	(/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (/.f32 x #s(literal 2 binary32))))
✓	accuracy	98.4%	(pow.f32 (log.f32 x) #s(literal 2 binary32))
✓	accuracy	99.7%	(.f32 x (.f32 x x))
✓	accuracy	99.3%	(log.f32 (-.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))) (/.f32 #s(literal 1/2 binary32) x)))
✓	accuracy	98.8%	(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))
✓	accuracy	98.5%	(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
✓	accuracy	100.0%	(/.f32 #s(literal -1/2 binary32) x)
✓	accuracy	100.0%	(+.f32 (/.f32 #s(literal -1/2 binary32) x) x)
✓	accuracy	99.9%	(+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x) x)
✓	accuracy	99.2%	(log.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x) x))
✓	accuracy	99.3%	(log.f32 (.f32 x (+.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))))
✓	accuracy	98.8%	(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))
✓	accuracy	98.5%	(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
✓	accuracy	97.9%	(/.f32 #s(literal -1/2 binary32) (*.f32 x x))

Results

172.0ms

256×

valid

Compiler

Compiled 351 to 36 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-log: 21.0ms (27.9% of total)

ival-pow: 18.0ms (23.9% of total)

ival-div: 15.0ms (19.9% of total)

ival-mult: 9.0ms (12% of total)

ival-add: 8.0ms (10.6% of total)

ival-sub: 2.0ms (2.7% of total)

const: 1.0ms (1.3% of total)

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

series46.0ms (0.6%)

Counts

20 → 240

Calls

Call 1

Inputs
#<alt (log (* x (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) (+ 2 (/ -1/2 (* x x))))))>
#<alt (* x (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) (+ 2 (/ -1/2 (* x x)))))>
#<alt (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) (+ 2 (/ -1/2 (* x x))))>
#<alt (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))>
#<alt (log (+ (+ (/ -1/2 x) x) x))>
#<alt (+ (+ (/ -1/2 x) x) x)>
#<alt (+ (/ -1/2 x) x)>
#<alt (/ -1/2 x)>
#<alt (log (- (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (/ 1/2 x)))>
#<alt (- (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (/ 1/2 x))>
#<alt (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))>
#<alt (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))>
#<alt (- (/ (pow (log x) 2) (log (/ x 2))) (/ (pow (log 2) 2) (log (/ x 2))))>
#<alt (/ (pow (log x) 2) (log (/ x 2)))>
#<alt (pow (log x) 2)>
#<alt (log x)>
#<alt (/ -1/2 (* x x))>
#<alt (/ -1/16 (* x x))>
#<alt (* x (* x x))>
#<alt (/ (pow (log 2) 2) (log (/ x 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 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 6))>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 6))>
#<alt 2>
#<alt (- 2 (* 1/2 (/ 1 (pow x 2))))>
#<alt (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))>
#<alt (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))>
#<alt 2>
#<alt (- 2 (* 1/2 (/ 1 (pow x 2))))>
#<alt (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))>
#<alt (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))>
#<alt (/ -1/16 (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 (+ (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 -1/16) (* -5 (log x)))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))>
#<alt (/ -1/16 (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 6))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 6))>
#<alt 2>
#<alt (- 2 (* 1/8 (/ 1 (pow x 4))))>
#<alt (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))>
#<alt (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))>
#<alt 2>
#<alt (- 2 (* 1/8 (/ 1 (pow x 4))))>
#<alt (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))>
#<alt (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))>
#<alt (- (/ (pow (log x) 2) (+ (log 1/2) (log x))) (/ (pow (log 2) 2) (+ (log 1/2) (log x))))>
#<alt (- (/ (pow (log x) 2) (+ (log 1/2) (log x))) (/ (pow (log 2) 2) (+ (log 1/2) (log x))))>
#<alt (- (/ (pow (log x) 2) (+ (log 1/2) (log x))) (/ (pow (log 2) 2) (+ (log 1/2) (log x))))>
#<alt (- (/ (pow (log x) 2) (+ (log 1/2) (log x))) (/ (pow (log 2) 2) (+ (log 1/2) (log x))))>
#<alt (- (/ (pow (log (/ 1 x)) 2) (+ (log 1/2) (* -1 (log (/ 1 x))))) (/ (pow (log 2) 2) (+ (log 1/2) (* -1 (log (/ 1 x))))))>
#<alt (- (/ (pow (log (/ 1 x)) 2) (+ (log 1/2) (* -1 (log (/ 1 x))))) (/ (pow (log 2) 2) (+ (log 1/2) (* -1 (log (/ 1 x))))))>
#<alt (- (/ (pow (log (/ 1 x)) 2) (+ (log 1/2) (* -1 (log (/ 1 x))))) (/ (pow (log 2) 2) (+ (log 1/2) (* -1 (log (/ 1 x))))))>
#<alt (- (/ (pow (log (/ 1 x)) 2) (+ (log 1/2) (* -1 (log (/ 1 x))))) (/ (pow (log 2) 2) (+ (log 1/2) (* -1 (log (/ 1 x))))))>
#<alt (- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log -1/2) (* -1 (log (/ -1 x))))) (/ (pow (log 2) 2) (+ (log -1/2) (* -1 (log (/ -1 x))))))>
#<alt (- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log -1/2) (* -1 (log (/ -1 x))))) (/ (pow (log 2) 2) (+ (log -1/2) (* -1 (log (/ -1 x))))))>
#<alt (- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log -1/2) (* -1 (log (/ -1 x))))) (/ (pow (log 2) 2) (+ (log -1/2) (* -1 (log (/ -1 x))))))>
#<alt (- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log -1/2) (* -1 (log (/ -1 x))))) (/ (pow (log 2) 2) (+ (log -1/2) (* -1 (log (/ -1 x))))))>
#<alt (/ (pow (log x) 2) (+ (log 1/2) (log x)))>
#<alt (/ (pow (log x) 2) (+ (log 1/2) (log x)))>
#<alt (/ (pow (log x) 2) (+ (log 1/2) (log x)))>
#<alt (/ (pow (log x) 2) (+ (log 1/2) (log x)))>
#<alt (/ (pow (log (/ 1 x)) 2) (+ (log 1/2) (* -1 (log (/ 1 x)))))>
#<alt (/ (pow (log (/ 1 x)) 2) (+ (log 1/2) (* -1 (log (/ 1 x)))))>
#<alt (/ (pow (log (/ 1 x)) 2) (+ (log 1/2) (* -1 (log (/ 1 x)))))>
#<alt (/ (pow (log (/ 1 x)) 2) (+ (log 1/2) (* -1 (log (/ 1 x)))))>
#<alt (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log -1/2) (* -1 (log (/ -1 x)))))>
#<alt (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log -1/2) (* -1 (log (/ -1 x)))))>
#<alt (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log -1/2) (* -1 (log (/ -1 x)))))>
#<alt (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log -1/2) (* -1 (log (/ -1 x)))))>
#<alt (pow (log x) 2)>
#<alt (pow (log x) 2)>
#<alt (pow (log x) 2)>
#<alt (pow (log x) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<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 (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (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 (/ (pow (log 2) 2) (+ (log 1/2) (log x)))>
#<alt (/ (pow (log 2) 2) (+ (log 1/2) (log x)))>
#<alt (/ (pow (log 2) 2) (+ (log 1/2) (log x)))>
#<alt (/ (pow (log 2) 2) (+ (log 1/2) (log x)))>
#<alt (/ (pow (log 2) 2) (+ (log 1/2) (* -1 (log (/ 1 x)))))>
#<alt (/ (pow (log 2) 2) (+ (log 1/2) (* -1 (log (/ 1 x)))))>
#<alt (/ (pow (log 2) 2) (+ (log 1/2) (* -1 (log (/ 1 x)))))>
#<alt (/ (pow (log 2) 2) (+ (log 1/2) (* -1 (log (/ 1 x)))))>
#<alt (/ (pow (log 2) 2) (+ (log -1/2) (* -1 (log (/ -1 x)))))>
#<alt (/ (pow (log 2) 2) (+ (log -1/2) (* -1 (log (/ -1 x)))))>
#<alt (/ (pow (log 2) 2) (+ (log -1/2) (* -1 (log (/ -1 x)))))>
#<alt (/ (pow (log 2) 2) (+ (log -1/2) (* -1 (log (/ -1 x)))))>

Calls

60 calls:

Time	Variable		Point	Expression
16.0ms	x	@	0	(- (/ (pow (log x) 2) (log (/ x 2))) (/ (pow (log 2) 2) (log (/ x 2))))
15.0ms	x	@	-inf	(- (/ (pow (log x) 2) (log (/ x 2))) (/ (pow (log 2) 2) (log (/ x 2))))
8.0ms	x	@	inf	(- (/ (pow (log x) 2) (log (/ x 2))) (/ (pow (log 2) 2) (log (/ x 2))))
0.0ms	x	@	inf	(log (- (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))))) (/ 1/2 x)))
0.0ms	x	@	inf	(log (* x (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) (+ 2 (/ -1/2 (* x x))))))

rewrite369.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2560×	`-lowering-.f32`
2560×	`-lowering-.f64`
2406×	`fma-lowering-fma.f32`
2406×	`fma-lowering-fma.f64`
2168×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	226
1	241	199
2	2606	192
0	8420	192

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 479

Calls

Call 1

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

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

simplify267.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

2102×	`fma-lowering-fma.f32`
2102×	`fma-lowering-fma.f64`
1826×	`-lowering-.f32`
1826×	`-lowering-.f64`
1822×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	219	2454
1	605	2334
2	1855	2293
3	5173	2283
0	8206	2283

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

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

eval91.0ms (1.3%)

Compiler: Compiled 27345 to 2328 computations (91.5% saved)

prune113.0ms (1.6%)

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	817	3	820
Fresh	0	0	0
Picked	0	4	4
Done	0	4	4
Total	817	11	828

Accuracy

100.0%

Counts

828 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.0%	(-.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 (/.f32 x #s(literal 2 binary32)))) (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (/.f32 x #s(literal 2 binary32)))))
▶	95.9%	(-.f32 (*.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 x #s(literal 2 binary32))))) (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (/.f32 x #s(literal 2 binary32)))))
✓	97.2%	(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
✓	99.0%	(log.f32 (-.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))) (/.f32 #s(literal 1/2 binary32) x)))
▶	44.2%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x))
✓	98.7%	(log.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x) x))
✓	98.9%	(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)))
✓	54.3%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	97.3%	(log.f32 (+.f32 x x))
▶	99.0%	(log.f32 (.f32 x (/.f32 (-.f32 (.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 1/4 binary32) (.f32 x 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 #s(literal -1/2 binary32) (*.f32 x x))))))
✓	99.0%	(log.f32 (.f32 x (+.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))))

Compiler

Compiled 219 to 115 computations (47.5% saved)

simplify192.0ms (2.7%)

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

2588×	`-lowering-.f32`
2588×	`-lowering-.f64`
2206×	`+-lowering-+.f64`
2206×	`+-lowering-+.f32`
1574×	`sum4-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	430
1	86	381
2	209	381
3	701	381
4	2025	378
0	8234	378

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize195.0ms (2.7%)

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (/.f32 x #s(literal 2 binary32))))
✓	accuracy	99.1%	(/.f32 #s(literal 1 binary32) (log.f32 (/.f32 x #s(literal 2 binary32))))
✓	accuracy	98.9%	(*.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 x #s(literal 2 binary32)))))
✓	accuracy	98.4%	(pow.f32 (log.f32 x) #s(literal 2 binary32))
✓	accuracy	100.0%	(/.f32 #s(literal -1/2 binary32) x)
✓	accuracy	100.0%	(+.f32 (/.f32 #s(literal -1/2 binary32) x) x)
✓	accuracy	100.0%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x))
✓	accuracy	98.8%	(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))
✓	accuracy	98.5%	(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
✓	accuracy	98.1%	(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
✓	accuracy	97.9%	(/.f32 #s(literal -1/2 binary32) (*.f32 x x))

Results

128.0ms

256×

valid

Compiler

Compiled 486 to 37 computations (92.4% saved)

Precisions

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

ival-log: 44.0ms (48% of total)

ival-div: 17.0ms (18.5% of total)

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

ival-sub: 6.0ms (6.5% of total)

ival-pow: 6.0ms (6.5% of total)

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

const: 1.0ms (1.1% of total)

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

series9.0ms (0.1%)

Counts

17 → 204

Calls

Call 1

Inputs
#<alt (log (* 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)) (* x x))) (- (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) 2) (/ -1/2 (* x x))))))>
#<alt (* 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)) (* x x))) (- (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) 2) (/ -1/2 (* x x)))))>
#<alt (/ (- (* (+ (/ (+ -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)) (* x x))) (- (+ (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x)))) 2) (/ -1/2 (* x x))))>
#<alt (- (* (+ (/ (+ -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)) (* x x)))>
#<alt (log (+ (/ -1/2 x) x))>
#<alt (+ (/ -1/2 x) x)>
#<alt (/ -1/2 x)>
#<alt (- (* (pow (log x) 2) (/ 1 (log (/ x 2)))) (/ (pow (log 2) 2) (log (/ x 2))))>
#<alt (* (pow (log x) 2) (/ 1 (log (/ x 2))))>
#<alt (pow (log x) 2)>
#<alt (log x)>
#<alt (/ -1/2 (* x x))>
#<alt (/ 1/4 (* x x))>
#<alt (/ -1/16 (* x x))>
#<alt (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))>
#<alt (/ 1 (log (/ x 2)))>
#<alt (/ (pow (log 2) 2) (log (/ x 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 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 6))>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 6))>
#<alt 2>
#<alt (- 2 (* 1/2 (/ 1 (pow x 2))))>
#<alt (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))>
#<alt (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))>
#<alt 2>
#<alt (- 2 (* 1/2 (/ 1 (pow x 2))))>
#<alt (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))>
#<alt (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))>
#<alt (/ 1/256 (pow x 12))>
#<alt (/ (+ 1/256 (* 1/64 (pow x 2))) (pow x 12))>
#<alt (/ (+ 1/256 (* (pow x 2) (+ 1/64 (* 1/64 (pow x 2))))) (pow x 12))>
#<alt (/ (+ 1/256 (* (pow x 2) (+ 1/64 (* (pow x 2) (+ 1/64 (* -1/4 (pow x 2))))))) (pow x 12))>
#<alt 4>
#<alt (- 4 (* 3/4 (/ 1 (pow x 4))))>
#<alt (+ 4 (* -1 (/ (+ 3/4 (* 1/4 (/ 1 (pow x 2)))) (pow x 4))))>
#<alt (- (+ 4 (* 1/64 (/ 1 (pow x 8)))) (+ (/ 1/4 (pow x 6)) (* 3/4 (/ 1 (pow x 4)))))>
#<alt 4>
#<alt (- 4 (* 3/4 (/ 1 (pow x 4))))>
#<alt (+ 4 (* -1 (/ (+ 3/4 (* 1/4 (/ 1 (pow x 2)))) (pow x 4))))>
#<alt (- (+ 4 (* 1/64 (/ 1 (pow x 8)))) (+ (/ 1/4 (pow x 6)) (* 3/4 (/ 1 (pow x 4)))))>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (+ (* -2 (pow x 2)) (* -1 (log x))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -2 (pow x 2)) 2))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -8/3 (pow x 2)) 2)) 2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (- (* -1 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))>
#<alt (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))>
#<alt (- (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/8 (* 1/24 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -1) (* -1 (log (/ -1 x)))) (* 1/2 (/ 1 (pow x 2))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/8 (* 1/24 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/2 (/ 1 (pow x 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 (- (/ (pow (log x) 2) (+ (log 1/2) (log x))) (/ (pow (log 2) 2) (+ (log 1/2) (log x))))>
#<alt (- (/ (pow (log x) 2) (+ (log 1/2) (log x))) (/ (pow (log 2) 2) (+ (log 1/2) (log x))))>
#<alt (- (/ (pow (log x) 2) (+ (log 1/2) (log x))) (/ (pow (log 2) 2) (+ (log 1/2) (log x))))>
#<alt (- (/ (pow (log x) 2) (+ (log 1/2) (log x))) (/ (pow (log 2) 2) (+ (log 1/2) (log x))))>
#<alt (- (/ (pow (log (/ 1 x)) 2) (+ (log 1/2) (* -1 (log (/ 1 x))))) (/ (pow (log 2) 2) (+ (log 1/2) (* -1 (log (/ 1 x))))))>
#<alt (- (/ (pow (log (/ 1 x)) 2) (+ (log 1/2) (* -1 (log (/ 1 x))))) (/ (pow (log 2) 2) (+ (log 1/2) (* -1 (log (/ 1 x))))))>
#<alt (- (/ (pow (log (/ 1 x)) 2) (+ (log 1/2) (* -1 (log (/ 1 x))))) (/ (pow (log 2) 2) (+ (log 1/2) (* -1 (log (/ 1 x))))))>
#<alt (- (/ (pow (log (/ 1 x)) 2) (+ (log 1/2) (* -1 (log (/ 1 x))))) (/ (pow (log 2) 2) (+ (log 1/2) (* -1 (log (/ 1 x))))))>
#<alt (- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log -1/2) (* -1 (log (/ -1 x))))) (/ (pow (log 2) 2) (+ (log -1/2) (* -1 (log (/ -1 x))))))>
#<alt (- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log -1/2) (* -1 (log (/ -1 x))))) (/ (pow (log 2) 2) (+ (log -1/2) (* -1 (log (/ -1 x))))))>
#<alt (- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log -1/2) (* -1 (log (/ -1 x))))) (/ (pow (log 2) 2) (+ (log -1/2) (* -1 (log (/ -1 x))))))>
#<alt (- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log -1/2) (* -1 (log (/ -1 x))))) (/ (pow (log 2) 2) (+ (log -1/2) (* -1 (log (/ -1 x))))))>
#<alt (/ (pow (log x) 2) (+ (log 1/2) (log x)))>
#<alt (/ (pow (log x) 2) (+ (log 1/2) (log x)))>
#<alt (/ (pow (log x) 2) (+ (log 1/2) (log x)))>
#<alt (/ (pow (log x) 2) (+ (log 1/2) (log x)))>
#<alt (/ (pow (log (/ 1 x)) 2) (+ (log 1/2) (* -1 (log (/ 1 x)))))>
#<alt (/ (pow (log (/ 1 x)) 2) (+ (log 1/2) (* -1 (log (/ 1 x)))))>
#<alt (/ (pow (log (/ 1 x)) 2) (+ (log 1/2) (* -1 (log (/ 1 x)))))>
#<alt (/ (pow (log (/ 1 x)) 2) (+ (log 1/2) (* -1 (log (/ 1 x)))))>
#<alt (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log -1/2) (* -1 (log (/ -1 x)))))>
#<alt (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log -1/2) (* -1 (log (/ -1 x)))))>
#<alt (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log -1/2) (* -1 (log (/ -1 x)))))>
#<alt (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log -1/2) (* -1 (log (/ -1 x)))))>
#<alt (pow (log x) 2)>
#<alt (pow (log x) 2)>
#<alt (pow (log x) 2)>
#<alt (pow (log x) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<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 (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ 1/4 (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 (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ -1/8 (pow x 4))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (/ -1/8 (pow x 4))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (/ 1 (+ (log 1/2) (log x)))>
#<alt (/ 1 (+ (log 1/2) (log x)))>
#<alt (/ 1 (+ (log 1/2) (log x)))>
#<alt (/ 1 (+ (log 1/2) (log x)))>
#<alt (/ 1 (+ (log 1/2) (* -1 (log (/ 1 x)))))>
#<alt (/ 1 (+ (log 1/2) (* -1 (log (/ 1 x)))))>
#<alt (/ 1 (+ (log 1/2) (* -1 (log (/ 1 x)))))>
#<alt (/ 1 (+ (log 1/2) (* -1 (log (/ 1 x)))))>
#<alt (/ 1 (+ (log -1/2) (* -1 (log (/ -1 x)))))>
#<alt (/ 1 (+ (log -1/2) (* -1 (log (/ -1 x)))))>
#<alt (/ 1 (+ (log -1/2) (* -1 (log (/ -1 x)))))>
#<alt (/ 1 (+ (log -1/2) (* -1 (log (/ -1 x)))))>
#<alt (/ (pow (log 2) 2) (+ (log 1/2) (log x)))>
#<alt (/ (pow (log 2) 2) (+ (log 1/2) (log x)))>
#<alt (/ (pow (log 2) 2) (+ (log 1/2) (log x)))>
#<alt (/ (pow (log 2) 2) (+ (log 1/2) (log x)))>
#<alt (/ (pow (log 2) 2) (+ (log 1/2) (* -1 (log (/ 1 x)))))>
#<alt (/ (pow (log 2) 2) (+ (log 1/2) (* -1 (log (/ 1 x)))))>
#<alt (/ (pow (log 2) 2) (+ (log 1/2) (* -1 (log (/ 1 x)))))>
#<alt (/ (pow (log 2) 2) (+ (log 1/2) (* -1 (log (/ 1 x)))))>
#<alt (/ (pow (log 2) 2) (+ (log -1/2) (* -1 (log (/ -1 x)))))>
#<alt (/ (pow (log 2) 2) (+ (log -1/2) (* -1 (log (/ -1 x)))))>
#<alt (/ (pow (log 2) 2) (+ (log -1/2) (* -1 (log (/ -1 x)))))>
#<alt (/ (pow (log 2) 2) (+ (log -1/2) (* -1 (log (/ -1 x)))))>

Calls

51 calls:

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

rewrite379.0ms (5.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2718×	`-lowering-.f32`
2718×	`-lowering-.f64`
2486×	`/-lowering-/.f32`
2486×	`/-lowering-/.f64`
2000×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	261
1	241	158
2	2483	153
0	8426	153

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 468

Calls

Call 1

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

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

simplify262.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

2102×	`fma-lowering-fma.f32`
2102×	`fma-lowering-fma.f64`
1890×	`sum3-define`
1834×	`+-lowering-+.f64`
1834×	`+-lowering-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	228	2020
1	616	1908
2	1890	1879
3	5256	1873
0	8003	1873

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(+ (log -1/16) (* -5 (log x)))
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(/ -1/16 (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 6))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 6))
2
(- 2 (* 1/2 (/ 1 (pow x 2))))
(+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))
(- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))
2
(- 2 (* 1/2 (/ 1 (pow x 2))))
(+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))
(- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))
(/ 1/256 (pow x 12))
(/ (+ 1/256 (* 1/64 (pow x 2))) (pow x 12))
(/ (+ 1/256 (* (pow x 2) (+ 1/64 (* 1/64 (pow x 2))))) (pow x 12))
(/ (+ 1/256 (* (pow x 2) (+ 1/64 (* (pow x 2) (+ 1/64 (* -1/4 (pow x 2))))))) (pow x 12))
4
(- 4 (* 3/4 (/ 1 (pow x 4))))
(+ 4 (* -1 (/ (+ 3/4 (* 1/4 (/ 1 (pow x 2)))) (pow x 4))))
(- (+ 4 (* 1/64 (/ 1 (pow x 8)))) (+ (/ 1/4 (pow x 6)) (* 3/4 (/ 1 (pow x 4)))))
4
(- 4 (* 3/4 (/ 1 (pow x 4))))
(+ 4 (* -1 (/ (+ 3/4 (* 1/4 (/ 1 (pow x 2)))) (pow x 4))))
(- (+ 4 (* 1/64 (/ 1 (pow x 8)))) (+ (/ 1/4 (pow x 6)) (* 3/4 (/ 1 (pow x 4)))))
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (+ (* -2 (pow x 2)) (* -1 (log x))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -2 (pow x 2)) 2))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -8/3 (pow x 2)) 2)) 2))))
(* -1 (log (/ 1 x)))
(- (* -1 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))
(+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))
(- (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/8 (* 1/24 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))
(+ (log -1) (* -1 (log (/ -1 x))))
(- (+ (log -1) (* -1 (log (/ -1 x)))) (* 1/2 (/ 1 (pow x 2))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/8 (* 1/24 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/2 (/ 1 (pow x 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)
(- (/ (pow (log x) 2) (+ (log 1/2) (log x))) (/ (pow (log 2) 2) (+ (log 1/2) (log x))))
(- (/ (pow (log x) 2) (+ (log 1/2) (log x))) (/ (pow (log 2) 2) (+ (log 1/2) (log x))))
(- (/ (pow (log x) 2) (+ (log 1/2) (log x))) (/ (pow (log 2) 2) (+ (log 1/2) (log x))))
(- (/ (pow (log x) 2) (+ (log 1/2) (log x))) (/ (pow (log 2) 2) (+ (log 1/2) (log x))))
(- (/ (pow (log (/ 1 x)) 2) (+ (log 1/2) (* -1 (log (/ 1 x))))) (/ (pow (log 2) 2) (+ (log 1/2) (* -1 (log (/ 1 x))))))
(- (/ (pow (log (/ 1 x)) 2) (+ (log 1/2) (* -1 (log (/ 1 x))))) (/ (pow (log 2) 2) (+ (log 1/2) (* -1 (log (/ 1 x))))))
(- (/ (pow (log (/ 1 x)) 2) (+ (log 1/2) (* -1 (log (/ 1 x))))) (/ (pow (log 2) 2) (+ (log 1/2) (* -1 (log (/ 1 x))))))
(- (/ (pow (log (/ 1 x)) 2) (+ (log 1/2) (* -1 (log (/ 1 x))))) (/ (pow (log 2) 2) (+ (log 1/2) (* -1 (log (/ 1 x))))))
(- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log -1/2) (* -1 (log (/ -1 x))))) (/ (pow (log 2) 2) (+ (log -1/2) (* -1 (log (/ -1 x))))))
(- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log -1/2) (* -1 (log (/ -1 x))))) (/ (pow (log 2) 2) (+ (log -1/2) (* -1 (log (/ -1 x))))))
(- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log -1/2) (* -1 (log (/ -1 x))))) (/ (pow (log 2) 2) (+ (log -1/2) (* -1 (log (/ -1 x))))))
(- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log -1/2) (* -1 (log (/ -1 x))))) (/ (pow (log 2) 2) (+ (log -1/2) (* -1 (log (/ -1 x))))))
(/ (pow (log x) 2) (+ (log 1/2) (log x)))
(/ (pow (log x) 2) (+ (log 1/2) (log x)))
(/ (pow (log x) 2) (+ (log 1/2) (log x)))
(/ (pow (log x) 2) (+ (log 1/2) (log x)))
(/ (pow (log (/ 1 x)) 2) (+ (log 1/2) (* -1 (log (/ 1 x)))))
(/ (pow (log (/ 1 x)) 2) (+ (log 1/2) (* -1 (log (/ 1 x)))))
(/ (pow (log (/ 1 x)) 2) (+ (log 1/2) (* -1 (log (/ 1 x)))))
(/ (pow (log (/ 1 x)) 2) (+ (log 1/2) (* -1 (log (/ 1 x)))))
(/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log -1/2) (* -1 (log (/ -1 x)))))
(/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log -1/2) (* -1 (log (/ -1 x)))))
(/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log -1/2) (* -1 (log (/ -1 x)))))
(/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log -1/2) (* -1 (log (/ -1 x)))))
(pow (log x) 2)
(pow (log x) 2)
(pow (log x) 2)
(pow (log x) 2)
(pow (log (/ 1 x)) 2)
(pow (log (/ 1 x)) 2)
(pow (log (/ 1 x)) 2)
(pow (log (/ 1 x)) 2)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(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))))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ 1/4 (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))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ -1/8 (pow x 4))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/ -1/8 (pow x 4))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/ 1 (+ (log 1/2) (log x)))
(/ 1 (+ (log 1/2) (log x)))
(/ 1 (+ (log 1/2) (log x)))
(/ 1 (+ (log 1/2) (log x)))
(/ 1 (+ (log 1/2) (* -1 (log (/ 1 x)))))
(/ 1 (+ (log 1/2) (* -1 (log (/ 1 x)))))
(/ 1 (+ (log 1/2) (* -1 (log (/ 1 x)))))
(/ 1 (+ (log 1/2) (* -1 (log (/ 1 x)))))
(/ 1 (+ (log -1/2) (* -1 (log (/ -1 x)))))
(/ 1 (+ (log -1/2) (* -1 (log (/ -1 x)))))
(/ 1 (+ (log -1/2) (* -1 (log (/ -1 x)))))
(/ 1 (+ (log -1/2) (* -1 (log (/ -1 x)))))
(/ (pow (log 2) 2) (+ (log 1/2) (log x)))
(/ (pow (log 2) 2) (+ (log 1/2) (log x)))
(/ (pow (log 2) 2) (+ (log 1/2) (log x)))
(/ (pow (log 2) 2) (+ (log 1/2) (log x)))
(/ (pow (log 2) 2) (+ (log 1/2) (* -1 (log (/ 1 x)))))
(/ (pow (log 2) 2) (+ (log 1/2) (* -1 (log (/ 1 x)))))
(/ (pow (log 2) 2) (+ (log 1/2) (* -1 (log (/ 1 x)))))
(/ (pow (log 2) 2) (+ (log 1/2) (* -1 (log (/ 1 x)))))
(/ (pow (log 2) 2) (+ (log -1/2) (* -1 (log (/ -1 x)))))
(/ (pow (log 2) 2) (+ (log -1/2) (* -1 (log (/ -1 x)))))
(/ (pow (log 2) 2) (+ (log -1/2) (* -1 (log (/ -1 x)))))
(/ (pow (log 2) 2) (+ (log -1/2) (* -1 (log (/ -1 x)))))

Outputs
(+ (log -1/16) (* -5 (log x)))
(+.f32 (log.f32 #s(literal -1/16 binary32)) (*.f32 #s(literal -5 binary32) (log.f32 x)))
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))
(+.f32 (log.f32 #s(literal -1/16 binary32)) (+.f32 (.f32 #s(literal -5 binary32) (log.f32 x)) (.f32 x (*.f32 x #s(literal 2 binary32)))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))
(+.f32 (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 (*.f32 x x) #s(literal 6 binary32)))))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))
(+.f32 (+.f32 (log.f32 #s(literal -1/16 binary32)) (.f32 #s(literal -5 binary32) (log.f32 x))) (.f32 (.f32 x x) (+.f32 #s(literal 2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 6 binary32) (.f32 x (*.f32 x #s(literal -136/3 binary32))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (log.f32 x) (+.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f32 (log.f32 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 (.f32 x x) (.f32 x x))) (+.f32 (log.f32 x) (+.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.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 (log.f32 #s(literal -2 binary32)) (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 (.f32 x x) (.f32 x x))) (+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
(/ -1/16 (pow x 5))
(/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 5 binary32)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 x (.f32 x #s(literal -1/8 binary32)))) (pow.f32 x #s(literal 5 binary32)))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal -1/2 binary32))))) (pow.f32 x #s(literal 5 binary32)))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)))))) (pow.f32 x #s(literal 5 binary32)))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(.f32 x (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f32 (.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 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(.f32 x (+.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (.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 (+.f32 #s(literal -2 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 x x) (*.f32 x x))))) (neg.f32 x))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(neg.f32 (.f32 x (+.f32 #s(literal -2 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 x x) (*.f32 x x))) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))))))))
(/ -1/16 (pow x 6))
(/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 x (.f32 x #s(literal -1/8 binary32)))) (pow.f32 x #s(literal 6 binary32)))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 6))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal -1/2 binary32))))) (pow.f32 x #s(literal 6 binary32)))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 6))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)))))) (pow.f32 x #s(literal 6 binary32)))
2
#s(literal 2 binary32)
(- 2 (* 1/2 (/ 1 (pow x 2))))
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))
(+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))
(-.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) (.f32 x x)))
(- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow 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))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))))
2
#s(literal 2 binary32)
(- 2 (* 1/2 (/ 1 (pow x 2))))
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))
(+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))
(-.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) (.f32 x x)))
(- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow 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))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))))
(/ 1/256 (pow x 12))
(/.f32 #s(literal 1/256 binary32) (pow.f32 x #s(literal 12 binary32)))
(/ (+ 1/256 (* 1/64 (pow x 2))) (pow x 12))
(/.f32 (+.f32 #s(literal 1/256 binary32) (.f32 (.f32 x x) #s(literal 1/64 binary32))) (pow.f32 x #s(literal 12 binary32)))
(/ (+ 1/256 (* (pow x 2) (+ 1/64 (* 1/64 (pow x 2))))) (pow x 12))
(/.f32 (+.f32 #s(literal 1/256 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/64 binary32) (.f32 (.f32 x x) #s(literal 1/64 binary32))))) (pow.f32 x #s(literal 12 binary32)))
(/ (+ 1/256 (* (pow x 2) (+ 1/64 (* (pow x 2) (+ 1/64 (* -1/4 (pow x 2))))))) (pow x 12))
(/.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 (.f32 x x) #s(literal -1/4 binary32))))))) (pow.f32 x #s(literal 12 binary32)))
4
#s(literal 4 binary32)
(- 4 (* 3/4 (/ 1 (pow x 4))))
(+.f32 #s(literal 4 binary32) (/.f32 #s(literal -3/4 binary32) (.f32 (.f32 x x) (*.f32 x x))))
(+ 4 (* -1 (/ (+ 3/4 (* 1/4 (/ 1 (pow x 2)))) (pow x 4))))
(+.f32 #s(literal 4 binary32) (/.f32 (+.f32 (/.f32 #s(literal -1/4 binary32) (.f32 x x)) #s(literal -3/4 binary32)) (.f32 (.f32 x x) (.f32 x x))))
(- (+ 4 (* 1/64 (/ 1 (pow x 8)))) (+ (/ 1/4 (pow x 6)) (* 3/4 (/ 1 (pow x 4)))))
(+.f32 (/.f32 #s(literal -3/4 binary32) (.f32 (.f32 x x) (*.f32 x x))) (+.f32 (/.f32 #s(literal 1/64 binary32) (pow.f32 x #s(literal 8 binary32))) (+.f32 #s(literal 4 binary32) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 6 binary32))))))
4
#s(literal 4 binary32)
(- 4 (* 3/4 (/ 1 (pow x 4))))
(+.f32 #s(literal 4 binary32) (/.f32 #s(literal -3/4 binary32) (.f32 (.f32 x x) (*.f32 x x))))
(+ 4 (* -1 (/ (+ 3/4 (* 1/4 (/ 1 (pow x 2)))) (pow x 4))))
(+.f32 #s(literal 4 binary32) (/.f32 (+.f32 (/.f32 #s(literal -1/4 binary32) (.f32 x x)) #s(literal -3/4 binary32)) (.f32 (.f32 x x) (.f32 x x))))
(- (+ 4 (* 1/64 (/ 1 (pow x 8)))) (+ (/ 1/4 (pow x 6)) (* 3/4 (/ 1 (pow x 4)))))
(+.f32 (/.f32 #s(literal -3/4 binary32) (.f32 (.f32 x x) (*.f32 x x))) (+.f32 (/.f32 #s(literal 1/64 binary32) (pow.f32 x #s(literal 8 binary32))) (+.f32 #s(literal 4 binary32) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 6 binary32))))))
(+ (log -1/2) (* -1 (log x)))
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 x))
(+ (log -1/2) (+ (* -2 (pow x 2)) (* -1 (log x))))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (-.f32 (.f32 (.f32 x x) #s(literal -2 binary32)) (log.f32 x)))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -2 (pow x 2)) 2))))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (-.f32 (.f32 (.f32 x x) (+.f32 #s(literal -2 binary32) (.f32 (.f32 x x) #s(literal -2 binary32)))) (log.f32 x)))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -8/3 (pow x 2)) 2)) 2))))
(+.f32 (.f32 (.f32 x x) (+.f32 #s(literal -2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -2 binary32) (.f32 x (.f32 x #s(literal -8/3 binary32))))))) (-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 x)))
(* -1 (log (/ 1 x)))
(log.f32 x)
(- (* -1 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))
(+.f32 (log.f32 x) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))
(+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))
(+.f32 (log.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) (.f32 x x)))
(- (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/8 (* 1/24 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))
(+.f32 (log.f32 x) (+.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/24 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x))) (/.f32 #s(literal -1/2 binary32) (*.f32 x 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)))) (* 1/2 (/ 1 (pow x 2))))
(-.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(-.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) (.f32 x x))))
(- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/8 (* 1/24 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))
(+.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/24 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x))) (-.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))))
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ (- (pow x 2) 1/2) x)
(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
(/ (- (pow x 2) 1/2) x)
(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
(/ (- (pow x 2) 1/2) x)
(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
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 (* 1/2 (/ 1 (pow x 2)))))
(.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x 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 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(- (/ (pow (log x) 2) (+ (log 1/2) (log x))) (/ (pow (log 2) 2) (+ (log 1/2) (log x))))
(-.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (+.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))) (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (+.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))))
(- (/ (pow (log x) 2) (+ (log 1/2) (log x))) (/ (pow (log 2) 2) (+ (log 1/2) (log x))))
(-.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (+.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))) (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (+.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))))
(- (/ (pow (log x) 2) (+ (log 1/2) (log x))) (/ (pow (log 2) 2) (+ (log 1/2) (log x))))
(-.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (+.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))) (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (+.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))))
(- (/ (pow (log x) 2) (+ (log 1/2) (log x))) (/ (pow (log 2) 2) (+ (log 1/2) (log x))))
(-.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (+.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))) (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (+.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))))
(- (/ (pow (log (/ 1 x)) 2) (+ (log 1/2) (* -1 (log (/ 1 x))))) (/ (pow (log 2) 2) (+ (log 1/2) (* -1 (log (/ 1 x))))))
(-.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (+.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))) (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (+.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))))
(- (/ (pow (log (/ 1 x)) 2) (+ (log 1/2) (* -1 (log (/ 1 x))))) (/ (pow (log 2) 2) (+ (log 1/2) (* -1 (log (/ 1 x))))))
(-.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (+.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))) (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (+.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))))
(- (/ (pow (log (/ 1 x)) 2) (+ (log 1/2) (* -1 (log (/ 1 x))))) (/ (pow (log 2) 2) (+ (log 1/2) (* -1 (log (/ 1 x))))))
(-.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (+.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))) (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (+.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))))
(- (/ (pow (log (/ 1 x)) 2) (+ (log 1/2) (* -1 (log (/ 1 x))))) (/ (pow (log 2) 2) (+ (log 1/2) (* -1 (log (/ 1 x))))))
(-.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (+.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))) (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (+.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))))
(- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log -1/2) (* -1 (log (/ -1 x))))) (/ (pow (log 2) 2) (+ (log -1/2) (* -1 (log (/ -1 x))))))
(-.f32 (/.f32 (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) #s(literal 2 binary32)) (-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))) (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))))
(- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log -1/2) (* -1 (log (/ -1 x))))) (/ (pow (log 2) 2) (+ (log -1/2) (* -1 (log (/ -1 x))))))
(-.f32 (/.f32 (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) #s(literal 2 binary32)) (-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))) (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))))
(- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log -1/2) (* -1 (log (/ -1 x))))) (/ (pow (log 2) 2) (+ (log -1/2) (* -1 (log (/ -1 x))))))
(-.f32 (/.f32 (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) #s(literal 2 binary32)) (-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))) (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))))
(- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log -1/2) (* -1 (log (/ -1 x))))) (/ (pow (log 2) 2) (+ (log -1/2) (* -1 (log (/ -1 x))))))
(-.f32 (/.f32 (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) #s(literal 2 binary32)) (-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))) (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))))
(/ (pow (log x) 2) (+ (log 1/2) (log x)))
(/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (+.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))))
(/ (pow (log x) 2) (+ (log 1/2) (log x)))
(/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (+.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))))
(/ (pow (log x) 2) (+ (log 1/2) (log x)))
(/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (+.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))))
(/ (pow (log x) 2) (+ (log 1/2) (log x)))
(/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (+.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))))
(/ (pow (log (/ 1 x)) 2) (+ (log 1/2) (* -1 (log (/ 1 x)))))
(/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (+.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))))
(/ (pow (log (/ 1 x)) 2) (+ (log 1/2) (* -1 (log (/ 1 x)))))
(/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (+.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))))
(/ (pow (log (/ 1 x)) 2) (+ (log 1/2) (* -1 (log (/ 1 x)))))
(/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (+.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))))
(/ (pow (log (/ 1 x)) 2) (+ (log 1/2) (* -1 (log (/ 1 x)))))
(/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (+.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))))
(/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log -1/2) (* -1 (log (/ -1 x)))))
(/.f32 (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) #s(literal 2 binary32)) (-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log -1/2) (* -1 (log (/ -1 x)))))
(/.f32 (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) #s(literal 2 binary32)) (-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log -1/2) (* -1 (log (/ -1 x)))))
(/.f32 (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) #s(literal 2 binary32)) (-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (+ (log -1/2) (* -1 (log (/ -1 x)))))
(/.f32 (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) #s(literal 2 binary32)) (-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(pow (log x) 2)
(pow.f32 (log.f32 x) #s(literal 2 binary32))
(pow (log x) 2)
(pow.f32 (log.f32 x) #s(literal 2 binary32))
(pow (log x) 2)
(pow.f32 (log.f32 x) #s(literal 2 binary32))
(pow (log x) 2)
(pow.f32 (log.f32 x) #s(literal 2 binary32))
(pow (log (/ 1 x)) 2)
(pow.f32 (log.f32 x) #s(literal 2 binary32))
(pow (log (/ 1 x)) 2)
(pow.f32 (log.f32 x) #s(literal 2 binary32))
(pow (log (/ 1 x)) 2)
(pow.f32 (log.f32 x) #s(literal 2 binary32))
(pow (log (/ 1 x)) 2)
(pow.f32 (log.f32 x) #s(literal 2 binary32))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) #s(literal 2 binary32))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) #s(literal 2 binary32))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) #s(literal 2 binary32))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) #s(literal 2 binary32))
(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)))
(/ -1/2 (pow x 2))
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
(/ -1/2 (pow x 2))
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
(/ -1/2 (pow x 2))
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
(/ -1/2 (pow x 2))
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
(/ -1/2 (pow x 2))
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
(/ -1/2 (pow x 2))
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
(/ -1/2 (pow x 2))
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
(/ -1/2 (pow x 2))
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
(/ -1/2 (pow x 2))
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
(/ -1/2 (pow x 2))
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
(/ -1/2 (pow x 2))
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
(/ -1/2 (pow x 2))
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
(/ 1/4 (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))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 6))
(/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 x (.f32 x #s(literal -1/8 binary32)))) (pow.f32 x #s(literal 6 binary32)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 x (.f32 x #s(literal -1/8 binary32)))) (pow.f32 x #s(literal 6 binary32)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 x (.f32 x #s(literal -1/8 binary32)))) (pow.f32 x #s(literal 6 binary32)))
(/ -1/8 (pow x 4))
(/.f32 #s(literal -1/8 binary32) (.f32 (.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 -1/16 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 -1/16 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 -1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x)))
(/ -1/8 (pow x 4))
(/.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)))
(/.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)))
(/.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)))
(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x)))
(/ 1 (+ (log 1/2) (log x)))
(/.f32 #s(literal 1 binary32) (+.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))))
(/ 1 (+ (log 1/2) (log x)))
(/.f32 #s(literal 1 binary32) (+.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))))
(/ 1 (+ (log 1/2) (log x)))
(/.f32 #s(literal 1 binary32) (+.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))))
(/ 1 (+ (log 1/2) (log x)))
(/.f32 #s(literal 1 binary32) (+.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))))
(/ 1 (+ (log 1/2) (* -1 (log (/ 1 x)))))
(/.f32 #s(literal 1 binary32) (+.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))))
(/ 1 (+ (log 1/2) (* -1 (log (/ 1 x)))))
(/.f32 #s(literal 1 binary32) (+.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))))
(/ 1 (+ (log 1/2) (* -1 (log (/ 1 x)))))
(/.f32 #s(literal 1 binary32) (+.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))))
(/ 1 (+ (log 1/2) (* -1 (log (/ 1 x)))))
(/.f32 #s(literal 1 binary32) (+.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))))
(/ 1 (+ (log -1/2) (* -1 (log (/ -1 x)))))
(/.f32 #s(literal 1 binary32) (-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(/ 1 (+ (log -1/2) (* -1 (log (/ -1 x)))))
(/.f32 #s(literal 1 binary32) (-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(/ 1 (+ (log -1/2) (* -1 (log (/ -1 x)))))
(/.f32 #s(literal 1 binary32) (-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(/ 1 (+ (log -1/2) (* -1 (log (/ -1 x)))))
(/.f32 #s(literal 1 binary32) (-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(/ (pow (log 2) 2) (+ (log 1/2) (log x)))
(/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (+.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))))
(/ (pow (log 2) 2) (+ (log 1/2) (log x)))
(/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (+.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))))
(/ (pow (log 2) 2) (+ (log 1/2) (log x)))
(/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (+.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))))
(/ (pow (log 2) 2) (+ (log 1/2) (log x)))
(/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (+.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))))
(/ (pow (log 2) 2) (+ (log 1/2) (* -1 (log (/ 1 x)))))
(/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (+.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))))
(/ (pow (log 2) 2) (+ (log 1/2) (* -1 (log (/ 1 x)))))
(/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (+.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))))
(/ (pow (log 2) 2) (+ (log 1/2) (* -1 (log (/ 1 x)))))
(/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (+.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))))
(/ (pow (log 2) 2) (+ (log 1/2) (* -1 (log (/ 1 x)))))
(/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (+.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))))
(/ (pow (log 2) 2) (+ (log -1/2) (* -1 (log (/ -1 x)))))
(/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(/ (pow (log 2) 2) (+ (log -1/2) (* -1 (log (/ -1 x)))))
(/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(/ (pow (log 2) 2) (+ (log -1/2) (* -1 (log (/ -1 x)))))
(/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(/ (pow (log 2) 2) (+ (log -1/2) (* -1 (log (/ -1 x)))))
(/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))

eval111.0ms (1.5%)

Compiler: Compiled 53385 to 2947 computations (94.5% saved)

prune103.0ms (1.4%)

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	831	3	834
Fresh	0	0	0
Picked	2	1	3
Done	1	7	8
Total	834	11	845

Accuracy

100.0%

Counts

845 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.9%	(-.f32 (*.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 x #s(literal 2 binary32))))) (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (log.f32 (/.f32 x #s(literal 2 binary32)))))
✓	97.2%	(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
	96.0%	(*.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 x #s(literal 2 binary32)))) (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32))))
✓	99.0%	(log.f32 (-.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))) (/.f32 #s(literal 1/2 binary32) x)))
✓	98.7%	(log.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x) x))
✓	98.9%	(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)))
✓	54.3%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	97.3%	(log.f32 (+.f32 x x))
	99.0%	(log.f32 (.f32 x (/.f32 (+.f32 #s(literal 4 binary32) (/.f32 (+.f32 (/.f32 #s(literal -1/4 binary32) (.f32 x x)) #s(literal -3/4 binary32)) (.f32 (.f32 x 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 #s(literal -1/2 binary32) (.f32 x x))))))
✓	99.0%	(log.f32 (.f32 x (+.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))))
	44.2%	(log.f32 x)

Compiler

Compiled 491 to 197 computations (59.9% saved)

regimes35.0ms (0.5%)

Counts

16 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

25.0ms	x
5.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
5.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))

Results

Accuracy	Segments	Branch
99.0%	1	`x`
99.0%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
99.0%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes3.0ms (0%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
97.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(log.f32 x)

Outputs
(log.f32 x)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
44.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify33.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

20×	`+-commutative_binary32`
14×	`*-commutative_binary32`
8×	`sub-neg_binary32`
6×	`neg-sub0_binary32`
6×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	52
1	42	52
2	51	52
3	57	52
4	62	52
5	64	52

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.2s (16.7%)

Rules

3240×	`-lowering-.f32`
3240×	`-lowering-.f64`
3182×	`/-lowering-/.f32`
3182×	`/-lowering-/.f64`
2364×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	152
1	193	125
2	2209	122
0	8569	122
0	219	2454
1	605	2334
2	1855	2293
3	5173	2283
0	8206	2283
0	228	2020
1	616	1908
2	1890	1879
3	5256	1873
0	8003	1873
0	150	548
1	432	497
2	1371	485
3	4235	468
0	8340	468

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 98 to 60 computations (38.8% saved)

preprocess39.0ms (0.5%)

Compiler: Compiled 152 to 92 computations (39.5% saved)

analyze0.0ms (0%)

sample517.0ms (7.2%)

preprocess156.0ms (2.2%)

explain106.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify142.0ms (2%)

localize29.0ms (0.4%)

series4.0ms (0.1%)

rewrite320.0ms (4.4%)

simplify206.0ms (2.9%)

eval61.0ms (0.9%)

prune49.0ms (0.7%)

simplify146.0ms (2%)

localize189.0ms (2.6%)

series198.0ms (2.8%)

rewrite451.0ms (6.3%)

simplify311.0ms (4.3%)

eval216.0ms (3%)

prune242.0ms (3.4%)

simplify170.0ms (2.4%)

localize232.0ms (3.2%)

series46.0ms (0.6%)

rewrite369.0ms (5.1%)

simplify267.0ms (3.7%)

eval91.0ms (1.3%)

prune113.0ms (1.6%)

simplify192.0ms (2.7%)

localize195.0ms (2.7%)

series9.0ms (0.1%)

rewrite379.0ms (5.3%)

simplify262.0ms (3.6%)

eval111.0ms (1.5%)

prune103.0ms (1.4%)

regimes35.0ms (0.5%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify33.0ms (0.5%)

soundness1.2s (16.7%)

preprocess39.0ms (0.5%)

end0.0ms (0%)

Profiling