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)

sample541.0ms (5.8%)

Results

418.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 232.0ms

ival-acosh: 181.0ms (77.9% of total)

ival->=: 43.0ms (18.5% of total)

const: 6.0ms (2.6% of total)

backward-pass: 2.0ms (0.9% of total)

Bogosity

preprocess393.0ms (4.2%)

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)))

explain83.0ms (0.9%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
128	-	-	`(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))`
3	-	-	`(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

40.0ms

512×

valid

Compiler

Compiled 80 to 23 computations (71.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-log: 6.0ms (29% of total)

ival-mult: 4.0ms (19.3% of total)

ival-sqrt: 4.0ms (19.3% of total)

ival-sub: 3.0ms (14.5% of total)

ival-add: 3.0ms (14.5% of total)

const: 1.0ms (4.8% 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
▶	53.2%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify153.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

2004×	`fmsub-define`
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)

localize30.0ms (0.3%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f32 (*.f32 x x) #s(literal 1 binary32))
✓	accuracy	99.8%	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
✓	accuracy	98.9%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	accuracy	57.3%	(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))

Results

21.0ms

256×

valid

Compiler

Compiled 35 to 8 computations (77.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-log: 4.0ms (36.2% of total)

ival-mult: 2.0ms (18.1% of total)

ival-sqrt: 2.0ms (18.1% of total)

ival-sub: 1.0ms (9% of total)

ival-add: 1.0ms (9% of total)

const: 0.0ms (0% of total)

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

series4.0ms (0%)

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite287.0ms (3.1%)

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)))

simplify250.0ms (2.7%)

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))

eval32.0ms (0.3%)

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

prune50.0ms (0.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	310	9	319
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	310	10	320

Accuracy

100.0%

Counts

320 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.0%	(-.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)))))
	95.4%	(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
▶	53.1%	(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))))))
	98.1%	(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)))
	97.4%	(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x))))
▶	98.5%	(log.f32 (+.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))))
▶	98.1%	(log.f32 (+.f32 x (-.f32 x (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x))))
▶	98.4%	(log.f32 (+.f32 x (+.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))))
✓	53.2%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
▶	95.1%	(log.f32 (+.f32 x x))

Compiler

Compiled 298 to 203 computations (31.9% saved)

simplify152.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
✓	cost-diff	32	(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)))))
✓	cost-diff	96	(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))))))
✓	cost-diff	128	(.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x))))))
✓	cost-diff	192	(+.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))
✓	cost-diff	192	(+.f32 x (+.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))))
✓	cost-diff	192	(log.f32 (+.f32 x (+.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))))
✓	cost-diff	0	(/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)
✓	cost-diff	0	(-.f32 x (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x))
✓	cost-diff	0	(+.f32 x (-.f32 x (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)))
✓	cost-diff	0	(log.f32 (+.f32 x (-.f32 x (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x))))
✓	cost-diff	0	(+.f32 x x)
✓	cost-diff	0	(log.f32 (+.f32 x x))
✓	cost-diff	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

1694×	`fnmadd-define`
1466×	`-lowering-.f32`
1466×	`-lowering-.f64`
1138×	`+-lowering-+.f64`
1138×	`+-lowering-+.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	39	389
1	101	354
2	218	353
3	566	342
4	1321	342
5	3038	331
0	8361	331

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

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

localize237.0ms (2.6%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)))))
✓	accuracy	99.8%	(+.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)))
✓	accuracy	99.2%	(/.f32 #s(literal 1 binary32) (+.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))
✓	accuracy	57.3%	(pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))
✓	accuracy	99.7%	(.f32 x (.f32 x x))
✓	accuracy	98.9%	(log.f32 (+.f32 x (+.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))))
✓	accuracy	98.4%	(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
✓	accuracy	98.4%	(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))
✓	accuracy	99.9%	(+.f32 x (-.f32 x (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)))
✓	accuracy	99.8%	(/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)
✓	accuracy	98.9%	(log.f32 (+.f32 x (-.f32 x (/.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 x x)
✓	accuracy	98.9%	(log.f32 (+.f32 x x))
✓	accuracy	99.7%	(.f32 x (.f32 x x))
✓	accuracy	98.9%	(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	98.4%	(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
✓	accuracy	98.4%	(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))

Results

137.0ms

256×

valid

Compiler

Compiled 453 to 40 computations (91.2% saved)

Precisions

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

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

ival-log: 17.0ms (22.6% of total)

ival-add: 12.0ms (16% of total)

ival-div: 11.0ms (14.6% of total)

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

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

const: 1.0ms (1.3% of total)

ival-neg: 1.0ms (1.3% of total)

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

series133.0ms (1.4%)

Counts

23 → 276

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

Outputs
#<alt (+ (log -1/16) (* -5 (log x)))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))>
#<alt (/ -1/2 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 -1/8) (* -3 (log x)))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* 4 (pow x 2))))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* -24 (pow x 2))))))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 256/3 (pow x 2)) 24))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* (pow x 2) (- (pow x 2) 1/2)) 1/8) (pow x 3))>
#<alt (/ (- (* (pow x 2) (- (pow x 2) 1/2)) 1/8) (pow x 3))>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 1)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 1)))>
#<alt (/ 1/8 (pow x 3))>
#<alt (/ (+ 1/8 (* 1/2 (pow x 2))) (pow x 3))>
#<alt (/ (+ 1/8 (* 1/2 (pow x 2))) (pow x 3))>
#<alt (/ (+ 1/8 (* 1/2 (pow x 2))) (pow x 3))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (+ (log -1/16) (* -5 (log x)))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (pow x 2) 1/2)) 1/8)) 1/16) (pow x 5))>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 1)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 1)))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (pow x 4) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (pow x 4) 1/8)) 1/16) (pow x 5))>
#<alt x>
#<alt (* x (- 1 (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 1)))>
#<alt (* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 1)))>
#<alt (* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 1)))>
#<alt (* -1 (log (/ 1 (sqrt -1))))>
#<alt (- (/ x (sqrt -1)) (log (/ 1 (sqrt -1))))>
#<alt (- (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))) (log (/ 1 (sqrt -1))))>
#<alt (- (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))) (log (/ 1 (sqrt -1))))>
#<alt (* -1 (+ (log 1/2) (log (/ 1 x))))>
#<alt (* -1 (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (- (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))) (+ (log 1/2) (log (/ 1 x))))>
#<alt (- (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))) (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1 (+ (log -2) (* -1 (log (/ -1 x)))))>
#<alt (- (* 1/4 (/ 1 (pow x 2))) (+ (log -2) (* -1 (log (/ -1 x)))))>
#<alt (- (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))) (+ (log -2) (* -1 (log (/ -1 x)))))>
#<alt (- (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) (+ (log -2) (* -1 (log (/ -1 x)))))>
#<alt (log (/ 1 (sqrt -1)))>
#<alt (+ (log (/ 1 (sqrt -1))) (* -1 (/ x (sqrt -1))))>
#<alt (+ (log (/ 1 (sqrt -1))) (* x (- (* 1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))>
#<alt (+ (log (/ 1 (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 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 (+ (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 (sqrt -1))>
#<alt (+ (* -1 (/ x (pow (sqrt -1) 2))) (/ 1 (sqrt -1)))>
#<alt (+ (* x (- (* 1/2 (/ x (pow (sqrt -1) 3))) (/ 1 (pow (sqrt -1) 2)))) (/ 1 (sqrt -1)))>
#<alt (+ (* x (- (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (pow (sqrt -1) 2)))) (/ 1 (sqrt -1)))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)>
#<alt (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x)>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))>
#<alt (sqrt -1)>
#<alt (+ x (sqrt -1))>
#<alt (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))>
#<alt (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))>
#<alt (/ -1/16 (pow x 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 (/ -1/16 (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 (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))>
#<alt (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))>
#<alt (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))>

Calls

69 calls:

Time	Variable		Point	Expression
88.0ms	x	@	0	(log (+ x x))
20.0ms	x	@	-inf	(log (+ x x))
7.0ms	x	@	inf	(log (+ x x))
1.0ms	x	@	0	(neg (log (/ 1 (+ x (pow (+ (* x x) -1) 1/2)))))
1.0ms	x	@	-inf	(log (+ (* 1 (/ -1/2 x)) (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x (* x x))))))))

rewrite455.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2618×	`-lowering-.f32`
2618×	`-lowering-.f64`
2262×	`/-lowering-/.f32`
2262×	`/-lowering-/.f64`
2100×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	263
1	284	230
2	2899	219
0	8264	219

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 642

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

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

simplify343.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

4478×	`+-lowering-+.f64`
4478×	`+-lowering-+.f32`
3250×	`-lowering-.f32`
3250×	`-lowering-.f64`
1218×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	352	2926
1	1055	2733
2	3467	2707
0	8440	2707

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

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

Outputs
(+ (log -1/16) (* -5 (log x)))
(+.f32 (log.f32 #s(literal -1/16 binary32)) (*.f32 #s(literal -5 binary32) (log.f32 x)))
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))
(+.f32 (log.f32 #s(literal -1/16 binary32)) (+.f32 (.f32 #s(literal -5 binary32) (log.f32 x)) (.f32 #s(literal 2 binary32) (*.f32 x x))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))
(+.f32 (.f32 #s(literal -5 binary32) (log.f32 x)) (+.f32 (.f32 x (.f32 x (+.f32 #s(literal 2 binary32) (.f32 (*.f32 x x) #s(literal 6 binary32))))) (log.f32 #s(literal -1/16 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 #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 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) (/.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 #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 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 3/32 binary32) (.f32 x x))) (.f32 x x)))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (-.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (+.f32 #s(literal 3/32 binary32) (/.f32 #s(literal 5/96 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x)))) (/.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 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x (+.f32 (.f32 #s(literal 2 binary32) (.f32 x x)) #s(literal -1/2 binary32))))))) (pow.f32 x #s(literal 5 binary32)))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) (*.f32 x x))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(.f32 x (-.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x)))))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(.f32 x (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (.f32 x x))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(.f32 x (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (.f32 x x))) (.f32 #s(literal -1 binary32) (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))))))
(/ -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 (.f32 x 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 (.f32 x x) (.f32 x x)))))) (pow.f32 x #s(literal 5 binary32)))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (- 2 (* 1/8 (/ 1 (pow x 4)))))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (.f32 x x)))))
(* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(.f32 x (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (*.f32 x x)))))
(* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(.f32 x (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (*.f32 x x)))))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (.f32 x x)))))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))
(.f32 x (+.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (.f32 x x))))))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))
(.f32 x (+.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (.f32 x x))))))
(+ (log 2) (log x))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (log x))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (log x))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (log x))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (* -1 (log (/ 1 x))))
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eval171.0ms (1.8%)

Compiler: Compiled 36066 to 3277 computations (90.9% saved)

prune158.0ms (1.7%)

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	1046	12	1058
Fresh	2	2	4
Picked	3	2	5
Done	0	1	1
Total	1051	17	1068

Accuracy

100.0%

Counts

1068 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.0%	(neg.f32 (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))))))
	53.1%	(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)))))))
	98.1%	(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) (*.f32 x x)))))))
▶	97.4%	(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x)))))))
▶	96.2%	(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
	52.0%	(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 (.f32 x x) (.f32 x x))))) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x 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 (.f32 x x) (*.f32 x x))))))))
	10.3%	(log.f32 (/.f32 (-.f32 (.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x)))))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x))))))) (.f32 x x)) (-.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (*.f32 x x)))))) x)))
▶	10.3%	(log.f32 (/.f32 (-.f32 (.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) x)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x))) (.f32 x (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x)))) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x)))))))) (-.f32 (+.f32 x (/.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 (.f32 x x) (*.f32 x x))))))))
	98.5%	(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 (.f32 x x) (*.f32 x x))))) (/.f32 #s(literal 1/2 binary32) x)))
▶	98.5%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (+.f32 (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (*.f32 x x))))) x)))
	98.1%	(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)))
	97.4%	(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x))))
✓	98.1%	(log.f32 (+.f32 x (-.f32 x (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x))))
	97.4%	(log.f32 (+.f32 x (-.f32 x (/.f32 #s(literal 1/2 binary32) x))))
▶	98.1%	(log.f32 (+.f32 x (+.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (*.f32 x x))))))))
✓	53.2%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	95.1%	(log.f32 (+.f32 x x))

Compiler

Compiled 858 to 384 computations (55.2% saved)

simplify237.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	256	(.f32 x (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x)))) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (*.f32 x x)))))))
✓	cost-diff	384	(-.f32 (.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) x)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x))) (.f32 x (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x)))) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x))))))))
✓	cost-diff	1792	(/.f32 (-.f32 (.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) x)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x))) (.f32 x (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x)))) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x)))))))) (-.f32 (+.f32 x (/.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 (.f32 x x) (*.f32 x x)))))))
✓	cost-diff	1792	(log.f32 (/.f32 (-.f32 (.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) x)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x))) (.f32 x (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x)))) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x)))))))) (-.f32 (+.f32 x (/.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 (.f32 x x) (*.f32 x x))))))))
✓	cost-diff	128	(.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (.f32 x x)))))
✓	cost-diff	192	(+.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (*.f32 x x))))))
✓	cost-diff	192	(+.f32 x (+.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (*.f32 x x)))))))
✓	cost-diff	192	(log.f32 (+.f32 x (+.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (*.f32 x x))))))))
✓	cost-diff	64	(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))
✓	cost-diff	64	(/.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x)))))
✓	cost-diff	96	(log.f32 (/.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))))
✓	cost-diff	160	(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x)))))))
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) x)
✓	cost-diff	0	(log.f32 (/.f32 #s(literal 1/2 binary32) x))
✓	cost-diff	0	(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
✓	cost-diff	128	(.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (*.f32 x x)))))
✓	cost-diff	128	(+.f32 (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (*.f32 x x))))) x)
✓	cost-diff	128	(+.f32 (/.f32 #s(literal -1/2 binary32) x) (+.f32 (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (*.f32 x x))))) x))
✓	cost-diff	128	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (+.f32 (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (*.f32 x x))))) x)))

Rules

2750×	`fma-lowering-fma.f32`
2750×	`fma-lowering-fma.f64`
2106×	`-lowering-.f32`
2106×	`-lowering-.f64`
1704×	`fmm-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	631
1	128	570
2	423	497
3	1665	456
4	7201	456
0	8174	456

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize441.0ms (4.8%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.4%	(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
✓	accuracy	98.4%	(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x)))
✓	accuracy	20.2%	(-.f32 (+.f32 x (/.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 (.f32 x x) (*.f32 x x))))))
✓	accuracy	14.1%	(-.f32 (.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) x)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x))) (.f32 x (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x)))) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x))))))))
✓	accuracy	99.9%	(+.f32 x (+.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (*.f32 x x)))))))
✓	accuracy	99.7%	(.f32 (.f32 x x) (*.f32 x x))
✓	accuracy	98.9%	(log.f32 (+.f32 x (+.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (*.f32 x x))))))))
✓	accuracy	98.5%	(/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (*.f32 x x)))
✓	accuracy	100.0%	(log.f32 (/.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))))
✓	accuracy	99.9%	(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))
✓	accuracy	99.2%	(/.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x)))))
✓	accuracy	98.0%	(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
✓	accuracy	100.0%	(/.f32 #s(literal 1/2 binary32) x)
✓	accuracy	100.0%	(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
✓	accuracy	99.9%	(log.f32 (/.f32 #s(literal 1/2 binary32) x))
✓	accuracy	99.7%	(.f32 (.f32 x x) (*.f32 x x))
✓	accuracy	98.9%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (+.f32 (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (*.f32 x x))))) x)))
✓	accuracy	98.4%	(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
✓	accuracy	98.4%	(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x)))

Results

253.0ms	194×	1	valid
27.0ms	62×	0	valid

Compiler

Compiled 754 to 43 computations (94.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 155.0ms

ival-log: 38.0ms (24.5% of total)

ival-div: 35.0ms (22.6% of total)

ival-mult: 28.0ms (18.1% of total)

backward-pass: 24.0ms (15.5% of total)

ival-add: 20.0ms (12.9% of total)

ival-sub: 4.0ms (2.6% of total)

ival-neg: 4.0ms (2.6% of total)

const: 2.0ms (1.3% of total)

series69.0ms (0.7%)

Counts

25 → 300

Calls

Call 1

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

Outputs
#<alt (+ (log -1/16) (* -5 (log x)))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (pow x 4) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (pow x 4) 1/8)) 1/16) (pow x 5))>
#<alt x>
#<alt (* x (- 1 (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 1)))>
#<alt (* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 1)))>
#<alt (* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 1)))>
#<alt (* -1 (+ (log 1/2) (* -1 (log x))))>
#<alt (* -1 (+ (log 1/2) (* -1 (log x))))>
#<alt (* -1 (+ (log 1/2) (* -1 (log x))))>
#<alt (* -1 (+ (log 1/2) (* -1 (log x))))>
#<alt (* -1 (+ (log 1/2) (log (/ 1 x))))>
#<alt (* -1 (+ (log 1/2) (log (/ 1 x))))>
#<alt (* -1 (+ (log 1/2) (log (/ 1 x))))>
#<alt (* -1 (+ (log 1/2) (log (/ 1 x))))>
#<alt (* -1 (+ (log -1/2) (log (/ -1 x))))>
#<alt (* -1 (+ (log -1/2) (log (/ -1 x))))>
#<alt (* -1 (+ (log -1/2) (log (/ -1 x))))>
#<alt (* -1 (+ (log -1/2) (log (/ -1 x))))>
#<alt (+ (log 1/2) (* -1 (log x)))>
#<alt (+ (log 1/2) (* -1 (log x)))>
#<alt (+ (log 1/2) (* -1 (log x)))>
#<alt (+ (log 1/2) (* -1 (log x)))>
#<alt (+ (log 1/2) (log (/ 1 x)))>
#<alt (+ (log 1/2) (log (/ 1 x)))>
#<alt (+ (log 1/2) (log (/ 1 x)))>
#<alt (+ (log 1/2) (log (/ 1 x)))>
#<alt (+ (log -1/2) (log (/ -1 x)))>
#<alt (+ (log -1/2) (log (/ -1 x)))>
#<alt (+ (log -1/2) (log (/ -1 x)))>
#<alt (+ (log -1/2) (log (/ -1 x)))>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (* -1 (+ (log -2) (log x)))>
#<alt (- (* -4 (pow x 2)) (+ (log -2) (log x)))>
#<alt (- (* (pow x 2) (- (* -8 (pow x 2)) 4)) (+ (log -2) (log x)))>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4)) (+ (log -2) (log x)))>
#<alt (* -1 (+ (log 1/2) (log (/ 1 x))))>
#<alt (* -1 (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (- (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2))) (+ (log 1/2) (log (/ 1 x))))>
#<alt (- (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))) (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1 (+ (log -1/2) (log (/ -1 x))))>
#<alt (* -1 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (- (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2))) (+ (log -1/2) (log (/ -1 x))))>
#<alt (- (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))) (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (+ (log -2) (log x))>
#<alt (+ (log -2) (+ (log x) (* 4 (pow x 2))))>
#<alt (+ (log -2) (+ (log x) (* (pow x 2) (+ 4 (* 8 (pow x 2))))))>
#<alt (+ (log -2) (+ (log x) (* (pow x 2) (+ 4 (* (pow x 2) (+ 8 (* 64/3 (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)) (+ (/ 1/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (+ (log 1/2) (+ (log (/ 1 x)) (+ (/ 1/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))))>
#<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)) (+ (/ 1/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 1/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))))>
#<alt (* -2 x)>
#<alt (* x (- (* -8 (pow x 2)) 2))>
#<alt (* x (- (* (pow x 2) (- (* -32 (pow x 2)) 8)) 2))>
#<alt (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -128 (pow x 2)) 32)) 8)) 2))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (+ (/ 1/32 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)>
#<alt (/ (+ 1/2 (+ (/ 1/32 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 1/128 (/ 1 (pow x 6)))))) x)>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/32 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/32 (* 1/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (+ (log -1/8) (* -3 (log x)))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* 4 (pow x 2))))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* -24 (pow x 2))))))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 256/3 (pow x 2)) 24))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* (pow x 2) (- (pow x 2) 1/2)) 1/8) (pow x 3))>
#<alt (/ (- (* (pow x 2) (- (pow x 2) 1/2)) 1/8) (pow x 3))>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 1)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 1)))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ (- (pow x 4) 1/8) (pow x 3))>
#<alt (/ (- (pow x 4) 1/8) (pow x 3))>
#<alt (/ (- (pow x 4) 1/8) (pow x 3))>
#<alt x>
#<alt (* x (- 1 (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* x (- 1 (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* x (- 1 (* 1/8 (/ 1 (pow x 4)))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 1)))>
#<alt (* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 1)))>
#<alt (* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 1)))>
#<alt (+ (log -1/16) (* -5 (log x)))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))>
#<alt (/ -1/256 (pow x 10))>
#<alt (/ (- (* -1/64 (pow x 2)) 1/256) (pow x 10))>
#<alt (/ (- (* (pow x 2) (- (* -1/64 (pow x 2)) 1/64)) 1/256) (pow x 10))>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 1/8 (pow x 2)) 1/64)) 1/64)) 1/256) (pow x 10))>
#<alt -1>
#<alt (- (* 1/2 (/ 1 (pow x 2))) 1)>
#<alt (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 1)>
#<alt (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) (+ 1 (* 1/64 (/ 1 (pow x 6)))))>
#<alt -1>
#<alt (- (* 1/2 (/ 1 (pow x 2))) 1)>
#<alt (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 1)>
#<alt (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) (+ 1 (* 1/64 (/ 1 (pow x 6)))))>
#<alt (/ 1/256 (pow x 10))>
#<alt (/ (+ 1/256 (* 1/64 (pow x 2))) (pow x 10))>
#<alt (/ (+ 1/256 (* (pow x 2) (+ 1/64 (* 1/64 (pow x 2))))) (pow x 10))>
#<alt (/ (+ 1/256 (* (pow x 2) (+ 1/64 (* (pow x 2) (+ 1/64 (* -1/8 (pow x 2))))))) (pow x 10))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 1/4 (/ 1 (pow x 4)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ 1/4 (* 1/8 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt (* (pow x 2) (- (+ 1 (* 1/64 (/ 1 (pow x 8)))) (+ (/ 1/8 (pow x 6)) (* 1/4 (/ 1 (pow x 4))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 1/4 (/ 1 (pow x 4)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ 1/4 (* 1/8 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt (* (pow x 2) (- (+ 1 (* 1/64 (/ 1 (pow x 8)))) (+ (/ 1/8 (pow x 6)) (* 1/4 (/ 1 (pow x 4))))))>
#<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 (/ -1/16 (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 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<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 (/ -1/8 (pow x 4))>
#<alt (/ -1/8 (pow x 4))>
#<alt (/ -1/8 (pow x 4))>
#<alt (/ -1/8 (pow x 4))>
#<alt (/ -1/8 (pow x 4))>
#<alt (/ -1/8 (pow x 4))>
#<alt (/ -1/8 (pow x 4))>
#<alt (/ -1/8 (pow x 4))>
#<alt (/ -1/8 (pow x 4))>
#<alt (/ -1/8 (pow x 4))>
#<alt (/ -1/8 (pow x 4))>
#<alt (/ -1/8 (pow x 4))>
#<alt (/ 1/16 (pow x 5))>
#<alt (/ (+ 1/16 (* 1/8 (pow x 2))) (pow x 5))>
#<alt (/ (+ 1/16 (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2))))) (pow x 5))>
#<alt (/ (+ 1/16 (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2))))) (pow x 5))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)>
#<alt (/ (- (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))) 1/2) x)>
#<alt (/ (- (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))) 1/2) x)>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2)))) x))>

Calls

75 calls:

Time	Variable		Point	Expression
28.0ms	x	@	-inf	(neg (log (/ 1/2 x)))
15.0ms	x	@	0	(neg (log (/ 1/2 x)))
9.0ms	x	@	inf	(neg (log (/ 1/2 x)))
3.0ms	x	@	inf	(- (* (+ x (/ -1/2 x)) (+ x (/ -1/2 x))) (* x (* (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))))))
1.0ms	x	@	inf	(log (/ (- (* (+ x (/ -1/2 x)) (+ x (/ -1/2 x))) (* x (* (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))))))) (- (+ x (/ -1/2 x)) (* x (+ 1 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))))))

rewrite550.0ms (5.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2928×	`-lowering-.f32`
2928×	`-lowering-.f64`
2578×	`fma-lowering-fma.f32`
2578×	`fma-lowering-fma.f64`
1716×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	376
1	330	286
2	3486	278
0	8321	278

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 809

Calls

Call 1

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

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

simplify289.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

5294×	`+-lowering-+.f64`
5294×	`+-lowering-+.f32`
2654×	`-lowering-.f32`
2654×	`-lowering-.f64`
1822×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	405	3058
1	1174	2902
2	3681	2872
0	8296	2872

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

Inputs
(+ (log -1/16) (* -5 (log x)))
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))
(* 2 x)
(* x (- 2 (* 1/8 (/ 1 (pow x 4)))))
(* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(* 2 x)
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (pow x 4) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (pow x 4) 1/8)) 1/16) (pow x 5))
x
(* x (- 1 (* 1/8 (/ 1 (pow x 4)))))
(* x (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(* x (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
x
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 1)))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 1)))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 1)))
(* -1 (+ (log 1/2) (* -1 (log x))))
(* -1 (+ (log 1/2) (* -1 (log x))))
(* -1 (+ (log 1/2) (* -1 (log x))))
(* -1 (+ (log 1/2) (* -1 (log x))))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(* -1 (+ (log -1/2) (log (/ -1 x))))
(* -1 (+ (log -1/2) (log (/ -1 x))))
(* -1 (+ (log -1/2) (log (/ -1 x))))
(* -1 (+ (log -1/2) (log (/ -1 x))))
(+ (log 1/2) (* -1 (log x)))
(+ (log 1/2) (* -1 (log x)))
(+ (log 1/2) (* -1 (log x)))
(+ (log 1/2) (* -1 (log x)))
(+ (log 1/2) (log (/ 1 x)))
(+ (log 1/2) (log (/ 1 x)))
(+ (log 1/2) (log (/ 1 x)))
(+ (log 1/2) (log (/ 1 x)))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (log (/ -1 x)))
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(* -1 (+ (log -2) (log x)))
(- (* -4 (pow x 2)) (+ (log -2) (log x)))
(- (* (pow x 2) (- (* -8 (pow x 2)) 4)) (+ (log -2) (log x)))
(- (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4)) (+ (log -2) (log x)))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(* -1 (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))
(- (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2))) (+ (log 1/2) (log (/ 1 x))))
(- (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))) (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))
(* -1 (+ (log -1/2) (log (/ -1 x))))
(* -1 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))))
(- (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2))) (+ (log -1/2) (log (/ -1 x))))
(- (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))) (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -2) (log x))
(+ (log -2) (+ (log x) (* 4 (pow x 2))))
(+ (log -2) (+ (log x) (* (pow x 2) (+ 4 (* 8 (pow x 2))))))
(+ (log -2) (+ (log x) (* (pow x 2) (+ 4 (* (pow x 2) (+ 8 (* 64/3 (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)) (+ (/ 1/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log 1/2) (+ (log (/ 1 x)) (+ (/ 1/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 1/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 1/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))))
(* -2 x)
(* x (- (* -8 (pow x 2)) 2))
(* x (- (* (pow x 2) (- (* -32 (pow x 2)) 8)) 2))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -128 (pow x 2)) 32)) 8)) 2))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1/32 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1/32 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 1/128 (/ 1 (pow x 6)))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/32 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1/32 (* 1/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(/ -1/2 x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(+ (log -1/8) (* -3 (log x)))
(+ (log -1/8) (+ (* -3 (log x)) (* 4 (pow x 2))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* -24 (pow x 2))))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 256/3 (pow x 2)) 24))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/8 (pow x 3))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(/ -1/8 (pow x 3))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* (pow x 2) (- (pow x 2) 1/2)) 1/8) (pow x 3))
(/ (- (* (pow x 2) (- (pow x 2) 1/2)) 1/8) (pow x 3))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
x
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 1)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 1)))
(/ -1/8 (pow x 3))
(/ (- (pow x 4) 1/8) (pow x 3))
(/ (- (pow x 4) 1/8) (pow x 3))
(/ (- (pow x 4) 1/8) (pow x 3))
x
(* x (- 1 (* 1/8 (/ 1 (pow x 4)))))
(* x (- 1 (* 1/8 (/ 1 (pow x 4)))))
(* x (- 1 (* 1/8 (/ 1 (pow x 4)))))
x
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 1)))
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 1)))
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 1)))
(+ (log -1/16) (* -5 (log x)))
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(/ -1/256 (pow x 10))
(/ (- (* -1/64 (pow x 2)) 1/256) (pow x 10))
(/ (- (* (pow x 2) (- (* -1/64 (pow x 2)) 1/64)) 1/256) (pow x 10))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 1/8 (pow x 2)) 1/64)) 1/64)) 1/256) (pow x 10))
-1
(- (* 1/2 (/ 1 (pow x 2))) 1)
(- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 1)
(- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) (+ 1 (* 1/64 (/ 1 (pow x 6)))))
-1
(- (* 1/2 (/ 1 (pow x 2))) 1)
(- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 1)
(- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) (+ 1 (* 1/64 (/ 1 (pow x 6)))))
(/ 1/256 (pow x 10))
(/ (+ 1/256 (* 1/64 (pow x 2))) (pow x 10))
(/ (+ 1/256 (* (pow x 2) (+ 1/64 (* 1/64 (pow x 2))))) (pow x 10))
(/ (+ 1/256 (* (pow x 2) (+ 1/64 (* (pow x 2) (+ 1/64 (* -1/8 (pow x 2))))))) (pow x 10))
(pow x 2)
(* (pow x 2) (- 1 (* 1/4 (/ 1 (pow x 4)))))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1/4 (* 1/8 (/ 1 (pow x 2)))) (pow x 4)))))
(* (pow x 2) (- (+ 1 (* 1/64 (/ 1 (pow x 8)))) (+ (/ 1/8 (pow x 6)) (* 1/4 (/ 1 (pow x 4))))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/4 (/ 1 (pow x 4)))))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1/4 (* 1/8 (/ 1 (pow x 2)))) (pow x 4)))))
(* (pow x 2) (- (+ 1 (* 1/64 (/ 1 (pow x 8)))) (+ (/ 1/8 (pow x 6)) (* 1/4 (/ 1 (pow x 4))))))
(/ -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)))
(/ -1/16 (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 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(/ -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))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ 1/16 (pow x 5))
(/ (+ 1/16 (* 1/8 (pow x 2))) (pow x 5))
(/ (+ 1/16 (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2))))) (pow x 5))
(/ (+ 1/16 (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2))))) (pow x 5))
(/ -1/2 x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ (- (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))) 1/2) x)
(/ (- (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))) 1/2) x)
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2)))) 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 #s(literal 2 binary32) (*.f32 x x))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))
(+.f32 (+.f32 (log.f32 #s(literal -1/16 binary32)) (.f32 #s(literal -5 binary32) (log.f32 x))) (.f32 x (.f32 x (+.f32 #s(literal 2 binary32) (.f32 (*.f32 x x) #s(literal 6 binary32))))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))
(+.f32 (+.f32 (log.f32 #s(literal -1/16 binary32)) (.f32 #s(literal -5 binary32) (log.f32 x))) (.f32 (.f32 x x) (+.f32 #s(literal 2 binary32) (.f32 x (.f32 x (+.f32 #s(literal 6 binary32) (.f32 (*.f32 x x) #s(literal -136/3 binary32))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (+.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) (/.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 #s(literal 2 binary32)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (log.f32 #s(literal -2 binary32)) (-.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(-.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 3/32 binary32) (.f32 x x))) (.f32 x x)))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (.f32 x x)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (-.f32 (log.f32 #s(literal -2 binary32)) (/.f32 (+.f32 #s(literal 3/32 binary32) (/.f32 #s(literal 5/96 binary32) (.f32 x x))) (.f32 (.f32 x x) (*.f32 x x)))))
(/ -1/16 (pow x 5))
(/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 5 binary32)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32))) (pow.f32 x #s(literal 5 binary32)))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) #s(literal -1/2 binary32)))))) (pow.f32 x #s(literal 5 binary32)))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x (+.f32 (.f32 #s(literal 2 binary32) (.f32 x x)) #s(literal -1/2 binary32))))))) (pow.f32 x #s(literal 5 binary32)))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) x) x)))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(.f32 x (-.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x)))))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(.f32 x (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (.f32 x x))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(.f32 (+.f32 (+.f32 #s(literal -2 binary32) (/.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))))) (neg.f32 x))
(/ -1/16 (pow x 5))
(/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 5 binary32)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32))) (pow.f32 x #s(literal 5 binary32)))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 #s(literal 2 binary32) (.f32 (.f32 x 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 (.f32 x x) (.f32 x x)))))) (pow.f32 x #s(literal 5 binary32)))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (- 2 (* 1/8 (/ 1 (pow x 4)))))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (.f32 x x)))))
(* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(.f32 x (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (*.f32 x x)))))
(* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(.f32 x (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (*.f32 x x)))))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (.f32 x x)))))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))
(.f32 x (+.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (.f32 x x))))))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))
(.f32 x (+.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (.f32 x x))))))
(/ -1/16 (pow x 5))
(/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 5 binary32)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32))) (pow.f32 x #s(literal 5 binary32)))
(/ (- (* (pow x 2) (- (pow x 4) 1/8)) 1/16) (pow x 5))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 x x) (*.f32 x x)) #s(literal -1/8 binary32)))) (pow.f32 x #s(literal 5 binary32)))
(/ (- (* (pow x 2) (- (pow x 4) 1/8)) 1/16) (pow x 5))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 x x) (*.f32 x x)) #s(literal -1/8 binary32)))) (pow.f32 x #s(literal 5 binary32)))
x
(* x (- 1 (* 1/8 (/ 1 (pow x 4)))))
(.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (.f32 x x)))))
(* x (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(.f32 x (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (*.f32 x x)))))
(* x (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(.f32 x (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (*.f32 x x)))))
x
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 1)))
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(/.f32 #s(literal -1/8 binary32) (.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)))
(/ -1/8 (pow x 4))
(/.f32 #s(literal -1/8 binary32) (.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)))
(/ -1/8 (pow x 4))
(/.f32 #s(literal -1/8 binary32) (.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)))
(/ -1/8 (pow x 4))
(/.f32 #s(literal -1/8 binary32) (.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)))
(/ 1/16 (pow x 5))
(/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 5 binary32)))
(/ (+ 1/16 (* 1/8 (pow x 2))) (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)))
(/ (+ 1/16 (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2))))) (pow x 5))
(/.f32 (+.f32 #s(literal 1/16 binary32) (.f32 x (.f32 x (+.f32 (.f32 (.f32 x x) #s(literal -1/2 binary32)) #s(literal 1/8 binary32))))) (pow.f32 x #s(literal 5 binary32)))
(/ (+ 1/16 (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2))))) (pow x 5))
(/.f32 (+.f32 #s(literal 1/16 binary32) (.f32 x (.f32 x (+.f32 (.f32 (.f32 x x) #s(literal -1/2 binary32)) #s(literal 1/8 binary32))))) (pow.f32 x #s(literal 5 binary32)))
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)
(/ (- (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))) 1/2) x)
(/.f32 (+.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) (/.f32 #s(literal 1/16 binary32) (.f32 (.f32 x x) (.f32 x x)))) x)
(/ (- (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))) 1/2) x)
(/.f32 (+.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) (/.f32 #s(literal 1/16 binary32) (.f32 (.f32 x x) (.f32 x x)))) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(-.f32 #s(literal 0 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x))
(* -1 (/ (+ 1/2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 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))) (neg.f32 x))
(* -1 (/ (+ 1/2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 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))) (neg.f32 x))

eval179.0ms (1.9%)

Compiler: Compiled 99467 to 4473 computations (95.5% saved)

prune204.0ms (2.2%)

Pruning

24 alts after pruning (19 fresh and 5 done)

	Pruned	Kept	Total
New	1495	13	1508
Fresh	3	6	9
Picked	3	2	5
Done	0	3	3
Total	1501	24	1525

Accuracy

100.0%

Counts

1525 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.5%	(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))) x)))
	98.5%	(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))))))
	10.0%	(neg.f32 (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))))))
	51.0%	(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (.f32 #s(literal 2 binary32) (.f32 x x)) #s(literal -1/2 binary32)) x))))
	53.1%	(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)))))))
	98.1%	(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (.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)))))))
✓	96.2%	(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
▶	52.0%	(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 (.f32 x x) (.f32 x x))))) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x 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 (.f32 x x) (*.f32 x x))))))))
	10.1%	(log.f32 (/.f32 (-.f32 (.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) x)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x))) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) (.f32 x (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))))) (-.f32 (+.f32 x (/.f32 #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 (.f32 x x) (*.f32 x x))))))))
	10.0%	(log.f32 (/.f32 (-.f32 (.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) x)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x))) (.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 x x)) #s(literal -1/4 binary32)) (.f32 (.f32 x x) (.f32 x x)))))) (-.f32 (+.f32 x (/.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 (.f32 x x) (.f32 x x))))))))
	10.3%	(log.f32 (/.f32 (-.f32 (.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) x)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x))) (.f32 x (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x)))) (+.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))))) x)))) (-.f32 (+.f32 x (/.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 (.f32 x x) (.f32 x x))))))))
▶	9.7%	(log.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 x x) (.f32 x x))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))) (-.f32 (+.f32 x (/.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 (.f32 x x) (*.f32 x x))))))))
	98.5%	(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 (.f32 x x) (*.f32 x x))))) (/.f32 #s(literal 1/2 binary32) x)))
	4.1%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (/.f32 (-.f32 (.f32 x x) (.f32 x (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))))) (-.f32 x (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x))))))))))
	5.1%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (/.f32 (.f32 x (-.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) x)) (-.f32 (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) x))))
	4.1%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (-.f32 (/.f32 (.f32 x (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))) (-.f32 (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) x)) (/.f32 (.f32 x x) (-.f32 (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) x)))))
✓	98.5%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (+.f32 (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (*.f32 x x))))) x)))
▶	97.4%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (+.f32 x x)))
▶	98.1%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (.f32 x x)))))))
	98.1%	(log.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1/8 binary32) (.f32 x (*.f32 x x))) x)))) x))
	98.1%	(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)))
✓	98.1%	(log.f32 (+.f32 x (-.f32 x (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x))))
✓	53.2%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	95.1%	(log.f32 (+.f32 x x))

Compiler

Compiled 1571 to 663 computations (57.8% saved)

simplify212.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(.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 (.f32 x x) (.f32 x x))))) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (*.f32 x x))))))
✓	cost-diff	128	(-.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 (.f32 x x) (.f32 x x))))) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x)))))))
✓	cost-diff	192	(/.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 (.f32 x x) (.f32 x x))))) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x 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 (.f32 x x) (*.f32 x x)))))))
✓	cost-diff	192	(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 (.f32 x x) (.f32 x x))))) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x 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 (.f32 x x) (*.f32 x x))))))))
✓	cost-diff	128	(.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (*.f32 x x)))))
✓	cost-diff	256	(-.f32 (+.f32 x (/.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 (.f32 x x) (*.f32 x x))))))
✓	cost-diff	256	(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 x x) (.f32 x x))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))) (-.f32 (+.f32 x (/.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 (.f32 x x) (*.f32 x x)))))))
✓	cost-diff	256	(log.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 x x) (.f32 x x))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))) (-.f32 (+.f32 x (/.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 (.f32 x x) (*.f32 x x))))))))
✓	cost-diff	0	(/.f32 #s(literal -1/2 binary32) x)
✓	cost-diff	64	(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (.f32 x x)))))
✓	cost-diff	64	(+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (.f32 x x))))))
✓	cost-diff	64	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (.f32 x x)))))))
✓	cost-diff	0	(+.f32 x x)
✓	cost-diff	0	(/.f32 #s(literal -1/2 binary32) x)
✓	cost-diff	0	(+.f32 (/.f32 #s(literal -1/2 binary32) x) (+.f32 x x))
✓	cost-diff	0	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (+.f32 x x)))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))))
✓	cost-diff	0	(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))) x)
✓	cost-diff	32	(log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))) x))
✓	cost-diff	96	(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))) x)))

Rules

2622×	`fma-lowering-fma.f32`
2622×	`fma-lowering-fma.f64`
2526×	`-lowering-.f32`
2526×	`-lowering-.f64`
1856×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	740
1	128	669
2	409	593
3	1625	559
4	7914	559
0	8773	559

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize376.0ms (4.1%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.4%	(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
✓	accuracy	98.4%	(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x)))
✓	accuracy	98.2%	(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
✓	accuracy	56.8%	(/.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 (.f32 x x) (.f32 x x))))) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x 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 (.f32 x x) (*.f32 x x)))))))
✓	accuracy	98.4%	(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
✓	accuracy	98.4%	(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x)))
✓	accuracy	98.0%	(/.f32 #s(literal 1/2 binary32) (*.f32 x x))
✓	accuracy	20.2%	(-.f32 (+.f32 x (/.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 (.f32 x x) (*.f32 x x))))))
✓	accuracy	100.0%	(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (.f32 x x)))))
✓	accuracy	99.7%	(.f32 (.f32 x x) (*.f32 x x))
✓	accuracy	98.9%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (.f32 x x)))))))
✓	accuracy	98.5%	(/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (*.f32 x x)))
✓	accuracy	100.0%	(/.f32 #s(literal -1/2 binary32) x)
✓	accuracy	100.0%	(+.f32 (/.f32 #s(literal -1/2 binary32) x) (+.f32 x x))
✓	accuracy	100.0%	(+.f32 x x)
✓	accuracy	98.9%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (+.f32 x x)))
✓	accuracy	100.0%	(log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))) x))
✓	accuracy	99.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))))
✓	accuracy	99.8%	(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))) x)
✓	accuracy	98.0%	(/.f32 #s(literal -1/2 binary32) (*.f32 x x))

Results

236.0ms	196×	1	valid
28.0ms	60×	0	valid

Compiler

Compiled 746 to 49 computations (93.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 144.0ms

ival-div: 37.0ms (25.8% of total)

ival-log: 27.0ms (18.8% of total)

ival-add: 26.0ms (18.1% of total)

ival-mult: 22.0ms (15.3% of total)

backward-pass: 21.0ms (14.6% of total)

ival-sub: 7.0ms (4.9% of total)

const: 2.0ms (1.4% of total)

ival-neg: 2.0ms (1.4% of total)

series13.0ms (0.1%)

Counts

26 → 312

Calls

Call 1

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

Outputs
#<alt (* -1 (+ (log -2) (log x)))>
#<alt (- (* -4 (pow x 2)) (+ (log -2) (log x)))>
#<alt (- (* (pow x 2) (- (* -8 (pow x 2)) 4)) (+ (log -2) (log x)))>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4)) (+ (log -2) (log x)))>
#<alt (* -1 (+ (log 1/2) (log (/ 1 x))))>
#<alt (* -1 (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (- (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2))) (+ (log 1/2) (log (/ 1 x))))>
#<alt (- (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))) (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1 (+ (log -1/2) (log (/ -1 x))))>
#<alt (* -1 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (- (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2))) (+ (log -1/2) (log (/ -1 x))))>
#<alt (- (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))) (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (+ (log -2) (log x))>
#<alt (+ (log -2) (+ (log x) (* 4 (pow x 2))))>
#<alt (+ (log -2) (+ (log x) (* (pow x 2) (+ 4 (* 8 (pow x 2))))))>
#<alt (+ (log -2) (+ (log x) (* (pow x 2) (+ 4 (* (pow x 2) (+ 8 (* 64/3 (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)) (+ (/ 1/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (+ (log 1/2) (+ (log (/ 1 x)) (+ (/ 1/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))))>
#<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)) (+ (/ 1/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 1/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))))>
#<alt (* -2 x)>
#<alt (* x (- (* -8 (pow x 2)) 2))>
#<alt (* x (- (* (pow x 2) (- (* -32 (pow x 2)) 8)) 2))>
#<alt (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -128 (pow x 2)) 32)) 8)) 2))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (+ (/ 1/32 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)>
#<alt (/ (+ 1/2 (+ (/ 1/32 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 1/128 (/ 1 (pow x 6)))))) x)>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/32 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/32 (* 1/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))>
#<alt (* -2 (pow x 2))>
#<alt (* (pow x 2) (- (* -8 (pow x 2)) 2))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -32 (pow x 2)) 8)) 2))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -128 (pow x 2)) 32)) 8)) 2))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/8 (/ 1 (pow x 2))))>
#<alt (+ 1/2 (+ (/ 1/32 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (+ 1/2 (+ (/ 1/32 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 1/128 (/ 1 (pow x 6))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/8 (/ 1 (pow x 2))))>
#<alt (+ 1/2 (+ (/ 1/32 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (+ 1/2 (+ (/ 1/32 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 1/128 (/ 1 (pow x 6))))))>
#<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 (/ -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 (* 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 (/ (- (* 2 (pow x 4)) 1/8) (pow x 3))>
#<alt (/ (- (* 2 (pow x 4)) 1/8) (pow x 3))>
#<alt (/ (- (* 2 (pow x 4)) 1/8) (pow x 3))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* x (- 2 (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* x (- 2 (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))>
#<alt (* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))>
#<alt (* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (+ (log x) (* 2 (pow x 2))))>
#<alt (+ (log 2) (+ (log x) (* (pow x 2) (+ 2 (* -6 (pow x 2))))))>
#<alt (+ (log 2) (+ (log x) (* (pow x 2) (+ 2 (* (pow x 2) (- (* 104/3 (pow x 2)) 6))))))>
#<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 (* 13/192 (/ 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 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 13/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 4 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 4 (* -8 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 4 (* (pow x 2) (- (* 48 (pow x 2)) 8))))))>
#<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 (* 3/32 (/ 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))) (* 3/32 (/ 1 (pow x 6))))) 2)))>
#<alt (/ 1/16 (pow x 5))>
#<alt (/ (+ 1/16 (* 1/8 (pow x 2))) (pow x 5))>
#<alt (/ (+ 1/16 (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2))))) (pow x 5))>
#<alt (/ (+ 1/16 (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2))))) (pow x 5))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)>
#<alt (/ (- (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))) 1/2) x)>
#<alt (/ (- (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))) 1/2) x)>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2)))) x))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (pow x 4) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (pow x 4) 1/8)) 1/16) (pow x 5))>
#<alt x>
#<alt (* x (- 1 (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 1)))>
#<alt (* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 1)))>
#<alt (* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 1)))>
#<alt (+ (log -1/16) (* -5 (log x)))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))>
#<alt (/ -1/256 (pow x 10))>
#<alt (/ (- (* -1/64 (pow x 2)) 1/256) (pow x 10))>
#<alt (/ (- (* (pow x 2) (- (* -1/64 (pow x 2)) 1/64)) 1/256) (pow x 10))>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 1/4 (pow x 2)) 1/64)) 1/64)) 1/256) (pow x 10))>
#<alt (* -4 (pow x 2))>
#<alt (* (pow x 2) (- (* 3/4 (/ 1 (pow x 4))) 4))>
#<alt (* (pow x 2) (- (+ (/ 1/4 (pow x 6)) (* 3/4 (/ 1 (pow x 4)))) 4))>
#<alt (* (pow x 2) (- (+ (/ 1/4 (pow x 6)) (* 3/4 (/ 1 (pow x 4)))) (+ 4 (* 1/64 (/ 1 (pow x 8))))))>
#<alt (* -4 (pow x 2))>
#<alt (* (pow x 2) (- (* 3/4 (/ 1 (pow x 4))) 4))>
#<alt (* (pow x 2) (- (+ (/ 1/4 (pow x 6)) (* 3/4 (/ 1 (pow x 4)))) 4))>
#<alt (* (pow x 2) (- (+ (/ 1/4 (pow x 6)) (* 3/4 (/ 1 (pow x 4)))) (+ 4 (* 1/64 (/ 1 (pow x 8))))))>
#<alt (/ 1/256 (pow x 10))>
#<alt (/ (+ 1/256 (* 1/64 (pow x 2))) (pow x 10))>
#<alt (/ (+ 1/256 (* (pow x 2) (+ 1/64 (* 1/64 (pow x 2))))) (pow x 10))>
#<alt (/ (+ 1/256 (* (pow x 2) (+ 1/64 (* (pow x 2) (+ 1/64 (* -1/4 (pow x 2))))))) (pow x 10))>
#<alt (* 4 (pow x 2))>
#<alt (* (pow x 2) (- 4 (* 1/2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 2) (+ 4 (* -1 (/ (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt (* (pow x 2) (- (+ 4 (* 1/64 (/ 1 (pow x 8)))) (+ (/ 1/4 (pow x 6)) (* 1/2 (/ 1 (pow x 4))))))>
#<alt (* 4 (pow x 2))>
#<alt (* (pow x 2) (- 4 (* 1/2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 2) (+ 4 (* -1 (/ (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt (* (pow x 2) (- (+ 4 (* 1/64 (/ 1 (pow x 8)))) (+ (/ 1/4 (pow x 6)) (* 1/2 (/ 1 (pow x 4))))))>
#<alt (/ -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 (/ -1/8 (pow x 4))>
#<alt (/ -1/8 (pow x 4))>
#<alt (/ -1/8 (pow x 4))>
#<alt (/ -1/8 (pow x 4))>
#<alt (/ -1/8 (pow x 4))>
#<alt (/ -1/8 (pow x 4))>
#<alt (/ -1/8 (pow x 4))>
#<alt (/ -1/8 (pow x 4))>
#<alt (/ -1/8 (pow x 4))>
#<alt (/ -1/8 (pow x 4))>
#<alt (/ -1/8 (pow x 4))>
#<alt (/ -1/8 (pow x 4))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<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 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 (/ -1/16 (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 (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>

Calls

78 calls:

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

rewrite354.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2252×	`-lowering-.f32`
2252×	`-lowering-.f64`
2110×	`/-lowering-/.f32`
2110×	`/-lowering-/.f64`
1446×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	415
1	368	281
2	4460	278
0	8230	278

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 807

Calls

Call 1

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

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

simplify302.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

4232×	`+-lowering-+.f64`
4232×	`+-lowering-+.f32`
3074×	`-lowering-.f32`
3074×	`-lowering-.f64`
1976×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	468	3148
1	1380	2982
2	4483	2962
0	8145	2962

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

Inputs
(* -1 (+ (log -2) (log x)))
(- (* -4 (pow x 2)) (+ (log -2) (log x)))
(- (* (pow x 2) (- (* -8 (pow x 2)) 4)) (+ (log -2) (log x)))
(- (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4)) (+ (log -2) (log x)))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(* -1 (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))
(- (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2))) (+ (log 1/2) (log (/ 1 x))))
(- (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))) (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))
(* -1 (+ (log -1/2) (log (/ -1 x))))
(* -1 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))))
(- (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2))) (+ (log -1/2) (log (/ -1 x))))
(- (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))) (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -2) (log x))
(+ (log -2) (+ (log x) (* 4 (pow x 2))))
(+ (log -2) (+ (log x) (* (pow x 2) (+ 4 (* 8 (pow x 2))))))
(+ (log -2) (+ (log x) (* (pow x 2) (+ 4 (* (pow x 2) (+ 8 (* 64/3 (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)) (+ (/ 1/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log 1/2) (+ (log (/ 1 x)) (+ (/ 1/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 1/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 1/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))))
(* -2 x)
(* x (- (* -8 (pow x 2)) 2))
(* x (- (* (pow x 2) (- (* -32 (pow x 2)) 8)) 2))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -128 (pow x 2)) 32)) 8)) 2))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1/32 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1/32 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 1/128 (/ 1 (pow x 6)))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/32 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1/32 (* 1/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(* -2 (pow x 2))
(* (pow x 2) (- (* -8 (pow x 2)) 2))
(* (pow x 2) (- (* (pow x 2) (- (* -32 (pow x 2)) 8)) 2))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -128 (pow x 2)) 32)) 8)) 2))
1/2
(+ 1/2 (* 1/8 (/ 1 (pow x 2))))
(+ 1/2 (+ (/ 1/32 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))
(+ 1/2 (+ (/ 1/32 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 1/128 (/ 1 (pow x 6))))))
1/2
(+ 1/2 (* 1/8 (/ 1 (pow x 2))))
(+ 1/2 (+ (/ 1/32 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))
(+ 1/2 (+ (/ 1/32 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 1/128 (/ 1 (pow x 6))))))
(+ (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)
(/ -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)
(* 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))
(/ (- (* 2 (pow x 4)) 1/8) (pow x 3))
(/ (- (* 2 (pow x 4)) 1/8) (pow x 3))
(/ (- (* 2 (pow x 4)) 1/8) (pow x 3))
(* 2 x)
(* x (- 2 (* 1/8 (/ 1 (pow x 4)))))
(* x (- 2 (* 1/8 (/ 1 (pow x 4)))))
(* x (- 2 (* 1/8 (/ 1 (pow x 4)))))
(* 2 x)
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))
(+ (log 2) (log x))
(+ (log 2) (+ (log x) (* 2 (pow x 2))))
(+ (log 2) (+ (log x) (* (pow x 2) (+ 2 (* -6 (pow x 2))))))
(+ (log 2) (+ (log x) (* (pow x 2) (+ 2 (* (pow x 2) (- (* 104/3 (pow x 2)) 6))))))
(+ (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 (* 13/192 (/ 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 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 13/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(* 2 x)
(* x (+ 2 (* 4 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 4 (* -8 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 4 (* (pow x 2) (- (* 48 (pow x 2)) 8))))))
(* 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 (* 3/32 (/ 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))) (* 3/32 (/ 1 (pow x 6))))) 2)))
(/ 1/16 (pow x 5))
(/ (+ 1/16 (* 1/8 (pow x 2))) (pow x 5))
(/ (+ 1/16 (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2))))) (pow x 5))
(/ (+ 1/16 (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2))))) (pow x 5))
(/ -1/2 x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ (- (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))) 1/2) x)
(/ (- (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))) 1/2) x)
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2)))) x))
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (pow x 4) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (pow x 4) 1/8)) 1/16) (pow x 5))
x
(* x (- 1 (* 1/8 (/ 1 (pow x 4)))))
(* x (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(* x (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
x
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 1)))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 1)))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 1)))
(+ (log -1/16) (* -5 (log x)))
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(/ -1/256 (pow x 10))
(/ (- (* -1/64 (pow x 2)) 1/256) (pow x 10))
(/ (- (* (pow x 2) (- (* -1/64 (pow x 2)) 1/64)) 1/256) (pow x 10))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 1/4 (pow x 2)) 1/64)) 1/64)) 1/256) (pow x 10))
(* -4 (pow x 2))
(* (pow x 2) (- (* 3/4 (/ 1 (pow x 4))) 4))
(* (pow x 2) (- (+ (/ 1/4 (pow x 6)) (* 3/4 (/ 1 (pow x 4)))) 4))
(* (pow x 2) (- (+ (/ 1/4 (pow x 6)) (* 3/4 (/ 1 (pow x 4)))) (+ 4 (* 1/64 (/ 1 (pow x 8))))))
(* -4 (pow x 2))
(* (pow x 2) (- (* 3/4 (/ 1 (pow x 4))) 4))
(* (pow x 2) (- (+ (/ 1/4 (pow x 6)) (* 3/4 (/ 1 (pow x 4)))) 4))
(* (pow x 2) (- (+ (/ 1/4 (pow x 6)) (* 3/4 (/ 1 (pow x 4)))) (+ 4 (* 1/64 (/ 1 (pow x 8))))))
(/ 1/256 (pow x 10))
(/ (+ 1/256 (* 1/64 (pow x 2))) (pow x 10))
(/ (+ 1/256 (* (pow x 2) (+ 1/64 (* 1/64 (pow x 2))))) (pow x 10))
(/ (+ 1/256 (* (pow x 2) (+ 1/64 (* (pow x 2) (+ 1/64 (* -1/4 (pow x 2))))))) (pow x 10))
(* 4 (pow x 2))
(* (pow x 2) (- 4 (* 1/2 (/ 1 (pow x 4)))))
(* (pow x 2) (+ 4 (* -1 (/ (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (pow x 4)))))
(* (pow x 2) (- (+ 4 (* 1/64 (/ 1 (pow x 8)))) (+ (/ 1/4 (pow x 6)) (* 1/2 (/ 1 (pow x 4))))))
(* 4 (pow x 2))
(* (pow x 2) (- 4 (* 1/2 (/ 1 (pow x 4)))))
(* (pow x 2) (+ 4 (* -1 (/ (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (pow x 4)))))
(* (pow x 2) (- (+ 4 (* 1/64 (/ 1 (pow x 8)))) (+ (/ 1/4 (pow x 6)) (* 1/2 (/ 1 (pow x 4))))))
(/ -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))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(/ 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 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)))
(/ -1/16 (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))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))
(/ 1/4 (pow x 2))

Outputs
(* -1 (+ (log -2) (log x)))
(-.f32 (-.f32 #s(literal 0 binary32) (log.f32 x)) (log.f32 #s(literal -2 binary32)))
(- (* -4 (pow x 2)) (+ (log -2) (log x)))
(-.f32 (.f32 #s(literal -4 binary32) (.f32 x x)) (+.f32 (log.f32 #s(literal -2 binary32)) (log.f32 x)))
(- (* (pow x 2) (- (* -8 (pow x 2)) 4)) (+ (log -2) (log x)))
(-.f32 (.f32 (.f32 x x) (+.f32 #s(literal -4 binary32) (.f32 x (.f32 x #s(literal -8 binary32))))) (+.f32 (log.f32 #s(literal -2 binary32)) (log.f32 x)))
(- (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4)) (+ (log -2) (log x)))
(-.f32 (.f32 (.f32 x x) (+.f32 #s(literal -4 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -8 binary32) (.f32 (.f32 x x) #s(literal -64/3 binary32)))))) (+.f32 (log.f32 #s(literal -2 binary32)) (log.f32 x)))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))
(* -1 (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))
(+.f32 (-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(- (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2))) (+ (log 1/2) (log (/ 1 x))))
(-.f32 (-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/32 binary32) (.f32 x x))) (.f32 x x)))
(- (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))) (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))
(-.f32 (+.f32 (-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))) (/.f32 #s(literal -1/4 binary32) (.f32 x x))) (/.f32 (+.f32 #s(literal 1/32 binary32) (/.f32 #s(literal 1/192 binary32) (.f32 x x))) (.f32 (.f32 x x) (*.f32 x x))))
(* -1 (+ (log -1/2) (log (/ -1 x))))
(-.f32 (-.f32 #s(literal 0 binary32) (log.f32 #s(literal -1/2 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(* -1 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))))
(-.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32)))
(- (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2))) (+ (log -1/2) (log (/ -1 x))))
(-.f32 (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/32 binary32) (.f32 x x))) (-.f32 #s(literal 0 binary32) (.f32 x x))) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(- (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))) (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))))
(-.f32 (-.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (.f32 x x)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32))) (/.f32 (+.f32 #s(literal 1/32 binary32) (/.f32 #s(literal 1/192 binary32) (.f32 x x))) (.f32 (.f32 x x) (*.f32 x x))))
(+ (log -2) (log x))
(+.f32 (log.f32 #s(literal -2 binary32)) (log.f32 x))
(+ (log -2) (+ (log x) (* 4 (pow x 2))))
(+.f32 (log.f32 x) (+.f32 (log.f32 #s(literal -2 binary32)) (.f32 (.f32 x x) #s(literal 4 binary32))))
(+ (log -2) (+ (log x) (* (pow x 2) (+ 4 (* 8 (pow x 2))))))
(+.f32 (log.f32 x) (+.f32 (.f32 (.f32 x x) (+.f32 #s(literal 4 binary32) (.f32 (.f32 x x) #s(literal 8 binary32)))) (log.f32 #s(literal -2 binary32))))
(+ (log -2) (+ (log x) (* (pow x 2) (+ 4 (* (pow x 2) (+ 8 (* 64/3 (pow x 2))))))))
(+.f32 (+.f32 (log.f32 #s(literal -2 binary32)) (log.f32 x)) (.f32 (.f32 x x) (+.f32 #s(literal 4 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 8 binary32) (.f32 (.f32 x x) #s(literal 64/3 binary32)))))))
(+ (log 1/2) (log (/ 1 x)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x))
(+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (log.f32 x)))
(+ (log 1/2) (+ (log (/ 1 x)) (+ (/ 1/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x)) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (/.f32 #s(literal 1/32 binary32) (.f32 (.f32 x x) (.f32 x x)))))
(+ (log 1/2) (+ (log (/ 1 x)) (+ (/ 1/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))))
(+.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x)) (+.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (/.f32 #s(literal 1/32 binary32) (.f32 (.f32 x x) (.f32 x x)))) (/.f32 #s(literal 1/192 binary32) (pow.f32 x #s(literal 6 binary32)))))
(+ (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)) (+ (/ 1/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (/.f32 #s(literal 1/32 binary32) (.f32 (.f32 x x) (.f32 x x)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 1/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (/.f32 #s(literal 1/32 binary32) (.f32 (.f32 x x) (.f32 x x)))) (/.f32 #s(literal 1/192 binary32) (pow.f32 x #s(literal 6 binary32))))))
(* -2 x)
(*.f32 #s(literal -2 binary32) x)
(* x (- (* -8 (pow x 2)) 2))
(.f32 x (+.f32 #s(literal -2 binary32) (.f32 x (*.f32 x #s(literal -8 binary32)))))
(* x (- (* (pow x 2) (- (* -32 (pow x 2)) 8)) 2))
(.f32 x (+.f32 #s(literal -2 binary32) (.f32 x (.f32 x (+.f32 #s(literal -8 binary32) (.f32 (*.f32 x x) #s(literal -32 binary32)))))))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -128 (pow x 2)) 32)) 8)) 2))
(.f32 x (+.f32 #s(literal -2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -8 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -32 binary32) (.f32 (*.f32 x x) #s(literal -128 binary32))))))))
(/ 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)
(/ (+ 1/2 (+ (/ 1/32 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)
(/.f32 (+.f32 (/.f32 #s(literal 1/32 binary32) (.f32 (.f32 x x) (.f32 x x))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x)))) x)
(/ (+ 1/2 (+ (/ 1/32 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 1/128 (/ 1 (pow x 6)))))) x)
(/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/32 binary32) (.f32 (.f32 x x) (.f32 x x))) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) (+.f32 (/.f32 #s(literal 1/128 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1/2 binary32))) 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 (* 1/32 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/32 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (.f32 x x))) (neg.f32 x))
(* -1 (/ (- (* -1 (/ (+ 1/32 (* 1/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/32 binary32) (/.f32 #s(literal 1/128 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x)))) x)
(* -2 (pow x 2))
(.f32 #s(literal -2 binary32) (.f32 x x))
(* (pow x 2) (- (* -8 (pow x 2)) 2))
(.f32 (.f32 x x) (+.f32 #s(literal -2 binary32) (.f32 x (.f32 x #s(literal -8 binary32)))))
(* (pow x 2) (- (* (pow x 2) (- (* -32 (pow x 2)) 8)) 2))
(.f32 (.f32 x x) (+.f32 #s(literal -2 binary32) (.f32 x (.f32 x (+.f32 #s(literal -8 binary32) (.f32 (.f32 x x) #s(literal -32 binary32)))))))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -128 (pow x 2)) 32)) 8)) 2))
(.f32 (.f32 x x) (+.f32 #s(literal -2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -8 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -32 binary32) (.f32 (.f32 x x) #s(literal -128 binary32))))))))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/8 (/ 1 (pow x 2))))
(+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x)))
(+ 1/2 (+ (/ 1/32 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))
(+.f32 (/.f32 #s(literal 1/32 binary32) (.f32 (.f32 x x) (.f32 x x))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))))
(+ 1/2 (+ (/ 1/32 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 1/128 (/ 1 (pow x 6))))))
(+.f32 (+.f32 (/.f32 #s(literal 1/32 binary32) (.f32 (.f32 x x) (.f32 x x))) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) (+.f32 (/.f32 #s(literal 1/128 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1/2 binary32)))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 1/8 (/ 1 (pow x 2))))
(+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x)))
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(* -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))) (neg.f32 (.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))) (neg.f32 (.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))) (neg.f32 (.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))) (neg.f32 (.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))) (neg.f32 (.f32 (.f32 x x) (.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))
(/ 1/4 (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))

eval179.0ms (1.9%)

Compiler: Compiled 70088 to 4308 computations (93.9% saved)

prune224.0ms (2.4%)

Pruning

22 alts after pruning (15 fresh and 7 done)

	Pruned	Kept	Total
New	1497	5	1502
Fresh	4	10	14
Picked	2	3	5
Done	1	4	5
Total	1504	22	1526

Accuracy

100.0%

Counts

1526 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.5%	(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))) x)))
	98.5%	(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))))))
	10.0%	(neg.f32 (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))))))
	53.1%	(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)))))))
	98.1%	(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (.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)))))))
✓	96.2%	(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
	51.7%	(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 (.f32 x x) (.f32 x x))))) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x))))))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (.f32 x x))))))))
	52.0%	(log.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (.f32 (.f32 x x) (+.f32 #s(literal 4 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/4 binary32) (.f32 x x))) (.f32 (.f32 x 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 (.f32 x x) (.f32 x x))))))))
	10.1%	(log.f32 (/.f32 (-.f32 (.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) x)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x))) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) (.f32 x (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))))) (-.f32 (+.f32 x (/.f32 #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 (.f32 x x) (*.f32 x x))))))))
	10.3%	(log.f32 (/.f32 (-.f32 (.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) x)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x))) (.f32 x (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x)))) (+.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))))) x)))) (-.f32 (+.f32 x (/.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 (.f32 x x) (.f32 x x))))))))
	51.0%	(log.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (.f32 #s(literal 2 binary32) (.f32 x x))) x))
	98.5%	(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 (.f32 x x) (*.f32 x x))))) (/.f32 #s(literal 1/2 binary32) x)))
	24.8%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (/.f32 (+.f32 #s(literal -1/8 binary32) (.f32 #s(literal 2 binary32) (.f32 (.f32 x x) (.f32 x x)))) (.f32 x (.f32 x x)))))
	4.1%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (-.f32 (/.f32 (.f32 x (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))) (-.f32 (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) x)) (/.f32 (.f32 x x) (-.f32 (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) x)))))
✓	97.4%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (+.f32 x x)))
✓	98.1%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (.f32 x x)))))))
	98.1%	(log.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1/8 binary32) (.f32 x (*.f32 x x))) x)))) x))
	98.1%	(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)))
✓	98.1%	(log.f32 (+.f32 x (-.f32 x (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x))))
✓	53.2%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	95.1%	(log.f32 (+.f32 x x))
	98.3%	(log.f32 (.f32 x (+.f32 (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 3/32 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x)))) (/.f32 #s(literal -1/2 binary32) (.f32 x x)))))

Compiler

Compiled 1908 to 524 computations (72.5% saved)

regimes33.0ms (0.4%)

Counts

40 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
98.5%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes4.0ms (0%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
97.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
97.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
96.2%	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 (+.f32 x x))

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
95.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	51
1	42	51
2	55	51
3	64	51
4	69	51
5	71	51

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness2.1s (22.5%)

Rules

5294×	`+-lowering-+.f64`
5294×	`+-lowering-+.f32`
4478×	`+-lowering-+.f64`
4478×	`+-lowering-+.f32`
3250×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
1	46	24
2	339	24
3	4183	24
0	8166	24
0	39	263
1	284	230
2	2899	219
0	8264	219
0	42	376
1	330	286
2	3486	278
0	8321	278
0	352	2926
1	1055	2733
2	3467	2707
0	8440	2707
0	150	548
1	432	497
2	1371	485
3	4235	468
0	8340	468
0	405	3058
1	1174	2902
2	3681	2872
0	8296	2872

Stop Event

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

Compiler

Compiled 142 to 96 computations (32.4% saved)

preprocess39.0ms (0.4%)

Compiler: Compiled 150 to 86 computations (42.7% saved)

analyze0.0ms (0%)

sample541.0ms (5.8%)

preprocess393.0ms (4.2%)

explain83.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify153.0ms (1.6%)

localize30.0ms (0.3%)

series4.0ms (0%)

rewrite287.0ms (3.1%)

simplify250.0ms (2.7%)

eval32.0ms (0.3%)

prune50.0ms (0.5%)

simplify152.0ms (1.6%)

localize237.0ms (2.6%)

series133.0ms (1.4%)

rewrite455.0ms (4.9%)

simplify343.0ms (3.7%)

eval171.0ms (1.8%)

prune158.0ms (1.7%)

simplify237.0ms (2.5%)

localize441.0ms (4.8%)

series69.0ms (0.7%)

rewrite550.0ms (5.9%)

simplify289.0ms (3.1%)

eval179.0ms (1.9%)

prune204.0ms (2.2%)

simplify212.0ms (2.3%)

localize376.0ms (4.1%)

series13.0ms (0.1%)

rewrite354.0ms (3.8%)

simplify302.0ms (3.2%)

eval179.0ms (1.9%)

prune224.0ms (2.4%)

regimes33.0ms (0.4%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify9.0ms (0.1%)

soundness2.1s (22.5%)

preprocess39.0ms (0.4%)

end0.0ms (0%)

Profiling