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)

sample780.0ms (9%)

Results

636.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 212.0ms

ival-acosh: 150.0ms (70.7% of total)

ival->=: 51.0ms (24% of total)

const: 8.0ms (3.8% of total)

backward-pass: 3.0ms (1.4% of total)

Bogosity

preprocess20.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

16×	`sum3-define`
12×	`sub-neg`
8×	`+-lowering-+.f64`
8×	`+-lowering-+.f32`
8×	`fma-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	16	8
2	17	8
0	17	8

Stop Event

1×	iter limit
1×	saturated
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)))

explain134.0ms (1.5%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
131	-	-	`(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))`
5	-	-	`(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

96.0ms

512×

valid

Compiler

Compiled 80 to 23 computations (71.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-add: 42.0ms (69.2% of total)

ival-log: 6.0ms (9.9% of total)

ival-sqrt: 5.0ms (8.2% of total)

ival-mult: 4.0ms (6.6% of total)

ival-sub: 3.0ms (4.9% of total)

const: 1.0ms (1.6% 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
▶	52.1%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify5.0ms (0.1%)

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

8×	`+-lowering-+.f64`
8×	`+-lowering-+.f32`
4×	`+-commutative`
2×	`sqrt-lowering-sqrt.f64`
2×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	28
1	16	28
2	17	28
0	17	28

Stop Event

1×	iter limit
1×	saturated

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)

localize39.0ms (0.5%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f32 (*.f32 x x) #s(literal 1 binary32))
✓	accuracy	99.9%	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
✓	accuracy	98.1%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	accuracy	56.3%	(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))

Results

29.0ms

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: 3.0ms (26.5% of total)

ival-sub: 2.0ms (17.7% of total)

ival-mult: 2.0ms (17.7% of total)

ival-sqrt: 2.0ms (17.7% of total)

ival-add: 1.0ms (8.8% of total)

const: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite33.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

12×	`exp-lowering-exp.f32`
12×	`exp-prod`
12×	`exp-lowering-exp.f64`
12×	`pow-to-exp`
10×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
1	20	24
2	27	24
3	35	24
4	51	24
5	61	24
6	69	24
0	69	24

Stop Event

1×	iter limit
1×	saturated

Counts

4 → 13

Calls

Call 1

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

Outputs
(log.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 (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)) x)
(exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)))))
(pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32))))
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)))
(exp.f32 (log.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32))))
(+.f32 (*.f32 x x) #s(literal -1 binary32))
(+.f32 #s(literal -1 binary32) (*.f32 x x))
(fma.f32 x x #s(literal -1 binary32))
(-.f32 (*.f32 x x) #s(literal 1 binary32))
(expm1.f32 (*.f32 #s(literal 2 binary32) (log.f32 x)))

simplify255.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

3162×	`-lowering-.f32`
3162×	`-lowering-.f64`
1842×	`+-lowering-+.f64`
1842×	`+-lowering-+.f32`
1282×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	150	548
1	432	457
2	1370	445
3	4204	434
0	8278	434

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval5.0ms (0.1%)

Compiler: Compiled 767 to 220 computations (71.3% saved)

prune12.0ms (0.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	53	8	61
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	9	62

Accuracy

100.0%

Counts

62 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.3%	(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
	96.7%	(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
	97.6%	(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))))))))
▶	97.6%	(log.f32 (+.f32 x (+.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))))
▶	97.5%	(log.f32 (+.f32 x (+.f32 x (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x))))
	97.2%	(log.f32 (+.f32 x (+.f32 x (*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)))))
✓	52.1%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
▶	51.9%	(log.f32 (+.f32 x (sqrt.f32 (expm1.f32 (*.f32 #s(literal 2 binary32) (log.f32 x))))))
▶	95.6%	(log.f32 (+.f32 x x))

Compiler

Compiled 240 to 165 computations (31.3% saved)

simplify174.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f32 (expm1.f32 (*.f32 #s(literal 2 binary32) (log.f32 x))))
✓	cost-diff	0	(+.f32 x (sqrt.f32 (expm1.f32 (*.f32 #s(literal 2 binary32) (log.f32 x)))))
✓	cost-diff	0	(log.f32 (+.f32 x (sqrt.f32 (expm1.f32 (*.f32 #s(literal 2 binary32) (log.f32 x))))))
✓	cost-diff	6336	(expm1.f32 (*.f32 #s(literal 2 binary32) (log.f32 x)))
✓	cost-diff	0	(+.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	(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	64	(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x))
✓	cost-diff	128	(.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x))))))
✓	cost-diff	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	0	(log.f32 x)
✓	cost-diff	0	(+.f32 (log.f32 x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
✓	cost-diff	0	(log.f32 #s(literal 2 binary32))
✓	cost-diff	0	(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))

Rules

1990×	`+-lowering-+.f64`
1990×	`+-lowering-+.f32`
1766×	`-lowering-.f32`
1766×	`-lowering-.f64`
1218×	`distribute-rgt-in`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	39	270
1	90	248
2	169	243
3	374	236
4	830	236
5	1244	236
6	2781	234
7	7860	234
0	8003	234

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (log 2) (+ (log x) (/ -1/4 (* x x))))
(log 2)
2
(+ (log x) (/ -1/4 (* x x)))
(log x)
x
(/ -1/4 (* x x))
-1/4
(* 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))
(log (+ x (sqrt (- (exp (* 2 (log x))) 1))))
(+ x (sqrt (- (exp (* 2 (log x))) 1)))
x
(sqrt (- (exp (* 2 (log x))) 1))
(- (exp (* 2 (log x))) 1)
(* 2 (log x))
2
(log x)

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

localize213.0ms (2.5%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(+.f32 x (sqrt.f32 (expm1.f32 (*.f32 #s(literal 2 binary32) (log.f32 x)))))
✓	accuracy	98.1%	(log.f32 (+.f32 x (sqrt.f32 (expm1.f32 (*.f32 #s(literal 2 binary32) (log.f32 x))))))
✓	accuracy	95.4%	(expm1.f32 (*.f32 #s(literal 2 binary32) (log.f32 x)))
✓	accuracy	56.3%	(sqrt.f32 (expm1.f32 (*.f32 #s(literal 2 binary32) (log.f32 x))))
✓	accuracy	99.8%	(.f32 x (.f32 x x))
✓	accuracy	99.1%	(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))
✓	accuracy	98.3%	(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
✓	accuracy	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 (+.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	99.9%	(/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)
✓	accuracy	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))))
✓	accuracy	98.1%	(/.f32 #s(literal -1/8 binary32) (*.f32 x x))
✓	accuracy	100.0%	(+.f32 x x)
✓	accuracy	98.2%	(log.f32 (+.f32 x x))
✓	accuracy	100.0%	(log.f32 #s(literal 2 binary32))
✓	accuracy	99.9%	(+.f32 (log.f32 x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
✓	accuracy	99.3%	(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
✓	accuracy	97.9%	(/.f32 #s(literal -1/4 binary32) (*.f32 x x))

Results

147.0ms

256×

valid

Compiler

Compiled 316 to 39 computations (87.7% saved)

Precisions

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

ival-log: 19.0ms (25.4% of total)

ival-add: 18.0ms (24.1% of total)

ival-div: 14.0ms (18.7% of total)

ival-mult: 11.0ms (14.7% of total)

compiled-spec: 5.0ms (6.7% of total)

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

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

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

const: 1.0ms (1.3% of total)

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

series133.0ms (1.5%)

Counts

23 → 264

Calls

Call 1

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

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

Calls

66 calls:

Time	Variable		Point	Expression
36.0ms	x	@	-inf	(log (+ x x))
26.0ms	x	@	0	(log x)
13.0ms	x	@	0	(log (+ x x))
9.0ms	x	@	inf	(log x)
9.0ms	x	@	0	(+ (log 2) (+ (log x) (/ -1/4 (* x x))))

rewrite337.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2538×	`-lowering-.f32`
2538×	`-lowering-.f64`
2080×	`/-lowering-/.f32`
2080×	`/-lowering-/.f64`
1008×	`--lowering--.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	190
1	132	171
2	457	170
3	2254	164
0	8339	164

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 615

Calls

Call 1

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

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

simplify378.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

4470×	`-lowering-.f32`
4470×	`-lowering-.f64`
2746×	`+-lowering-+.f64`
2746×	`+-lowering-+.f32`
1354×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	299	2446
1	869	2066
2	2833	2011
0	8324	2011

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

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

Outputs
(/ -1/4 (pow x 2))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2))
(+.f32 (/.f32 #s(literal -1/4 binary32) (.f32 x x)) (.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))))
(/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2))
(+.f32 (/.f32 #s(literal -1/4 binary32) (.f32 x x)) (.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))))
(/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2))
(+.f32 (/.f32 #s(literal -1/4 binary32) (.f32 x x)) (.f32 #s(literal 1 binary32) (+.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)))) (* 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)))) (* 1/4 (/ 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)))) (* 1/4 (/ 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 -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+.f32 (log.f32 #s(literal 2 binary32)) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
(- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
(- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
(/ -1/4 (pow x 2))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/ (- (* (pow x 2) (log x)) 1/4) (pow x 2))
(+.f32 (log.f32 x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(/ (- (* (pow x 2) (log x)) 1/4) (pow x 2))
(+.f32 (log.f32 x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(/ (- (* (pow x 2) (log x)) 1/4) (pow x 2))
(+.f32 (log.f32 x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(* -1 (log (/ 1 x)))
(log.f32 x)
(- (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (log.f32 x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(- (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (log.f32 x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(- (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (log.f32 x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(- (+ (log -1) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(- (+ (log -1) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(- (+ (log -1) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (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))))
(+.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 (/.f32 #s(literal -1 binary32) 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))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(+ (log -1/8) (* -3 (log x)))
(+.f32 (log.f32 #s(literal -1/8 binary32)) (*.f32 (log.f32 x) #s(literal -3 binary32)))
(+ (log -1/8) (+ (* -3 (log x)) (* 4 (pow x 2))))
(+.f32 (log.f32 #s(literal -1/8 binary32)) (+.f32 (.f32 (log.f32 x) #s(literal -3 binary32)) (.f32 (*.f32 x x) #s(literal 4 binary32))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* -24 (pow x 2))))))
(+.f32 (+.f32 (log.f32 #s(literal -1/8 binary32)) (.f32 (log.f32 x) #s(literal -3 binary32))) (.f32 (.f32 x x) (+.f32 #s(literal 4 binary32) (.f32 x (*.f32 x #s(literal -24 binary32))))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 256/3 (pow x 2)) 24))))))
(+.f32 (+.f32 (log.f32 #s(literal -1/8 binary32)) (.f32 (log.f32 x) #s(literal -3 binary32))) (.f32 (.f32 x x) (+.f32 #s(literal 4 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -24 binary32) (.f32 (*.f32 x x) #s(literal 256/3 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 #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 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (+.f32 (log.f32 x) (/.f32 #s(literal -1/4 binary32) (.f32 x x))) (/.f32 (+.f32 #s(literal -3/32 binary32) (/.f32 #s(literal -1/48 binary32) (.f32 x x))) (pow.f32 x #s(literal 4 binary32)))))
(+ (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 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (+.f32 (/.f32 (+.f32 #s(literal -3/32 binary32) (/.f32 #s(literal -1/48 binary32) (.f32 x x))) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal -1/4 binary32) (.f32 x x))))
(/ -1/8 (pow x 3))
(/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x)))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
(/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))
(/.f32 (-.f32 (.f32 (+.f32 #s(literal -1/2 binary32) (.f32 #s(literal 2 binary32) (.f32 x x))) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x)
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))
(/.f32 (-.f32 (.f32 (+.f32 #s(literal -1/2 binary32) (.f32 #s(literal 2 binary32) (.f32 x x))) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x)
(* 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 (/ (+ 1/2 (* 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)))
(* 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) (pow.f32 x #s(literal 4 binary32))) (+.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) (pow.f32 x #s(literal 4 binary32))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x)))))
(/ -1/8 (pow x 3))
(/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x)))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
(/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)
(/ (- (* (pow x 2) (- (pow x 2) 1/2)) 1/8) (pow x 3))
(/.f32 (-.f32 (.f32 (+.f32 (.f32 x x) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)
(/ (- (* (pow x 2) (- (pow x 2) 1/2)) 1/8) (pow x 3))
(/.f32 (-.f32 (.f32 (+.f32 (.f32 x x) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) x) x)))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) x) x)))
x
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 1)))
(.f32 x (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 1)))
(.f32 x (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))))
(/ -1/8 (pow x 3))
(/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x)))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
(/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
(/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
(/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
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(/.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))
(/ -1/8 (pow x 2))
(/.f32 #s(literal -1/8 binary32) (*.f32 x x))
(/ -1/8 (pow x 2))
(/.f32 #s(literal -1/8 binary32) (*.f32 x x))
(/ -1/8 (pow x 2))
(/.f32 #s(literal -1/8 binary32) (*.f32 x x))
(/ -1/8 (pow x 2))
(/.f32 #s(literal -1/8 binary32) (*.f32 x x))
(/ -1/8 (pow x 2))
(/.f32 #s(literal -1/8 binary32) (*.f32 x x))
(/ -1/8 (pow x 2))
(/.f32 #s(literal -1/8 binary32) (*.f32 x x))
(/ -1/8 (pow x 2))
(/.f32 #s(literal -1/8 binary32) (*.f32 x x))
(/ -1/8 (pow x 2))
(/.f32 #s(literal -1/8 binary32) (*.f32 x x))
(/ -1/8 (pow x 2))
(/.f32 #s(literal -1/8 binary32) (*.f32 x x))
(/ -1/8 (pow x 2))
(/.f32 #s(literal -1/8 binary32) (*.f32 x x))
(/ -1/8 (pow x 2))
(/.f32 #s(literal -1/8 binary32) (*.f32 x x))
(/ -1/8 (pow x 2))
(/.f32 #s(literal -1/8 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 6))
(/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32))) (pow.f32 x #s(literal 6 binary32)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32))) (pow.f32 x #s(literal 6 binary32)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 (.f32 x x) #s(literal -1/8 binary32))) (pow.f32 x #s(literal 6 binary32)))
(/ -1/8 (pow x 4))
(/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))
(* -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))) (pow.f32 x #s(literal 4 binary32)))
(* -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))) (pow.f32 x #s(literal 4 binary32)))
(* -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))) (pow.f32 x #s(literal 4 binary32)))
(/ -1/8 (pow x 4))
(/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))
(* -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))) (pow.f32 x #s(literal 4 binary32)))
(* -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))) (pow.f32 x #s(literal 4 binary32)))
(* -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))) (pow.f32 x #s(literal 4 binary32)))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))

eval176.0ms (2%)

Compiler: Compiled 17046 to 2967 computations (82.6% saved)

prune202.0ms (2.3%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	892	7	899
Fresh	3	0	3
Picked	3	2	5
Done	0	1	1
Total	898	10	908

Accuracy

100.0%

Counts

908 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.4%	(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
▶	97.1%	(-.f32 (log.f32 (/.f32 x #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
▶	97.4%	(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
	97.5%	(log.f32 (+.f32 (/.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 x x)) x) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (/.f32 x #s(literal 1/2 binary32)))))
▶	97.6%	(log.f32 (+.f32 (+.f32 x (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) x) x) #s(literal 1/2 binary32)) x)) x))
✓	97.5%	(log.f32 (+.f32 x (+.f32 x (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x))))
▶	97.2%	(log.f32 (+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))
✓	52.1%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
	52.1%	(log.f32 (+.f32 x (sqrt.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 x x)))))))
✓	95.6%	(log.f32 (+.f32 x x))

Compiler

Compiled 202 to 138 computations (31.7% saved)

simplify280.0ms (3.2%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Program
✓	cost-diff	(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
✓	cost-diff	(/.f32 x #s(literal 1/2 binary32))
✓	cost-diff	(log.f32 (/.f32 x #s(literal 1/2 binary32)))
✓	cost-diff	(-.f32 (log.f32 (/.f32 x #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
✓	cost-diff	(/.f32 #s(literal -1/2 binary32) x)
✓	cost-diff	(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
✓	cost-diff	(+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))
✓	cost-diff	(log.f32 (+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))
✓	cost-diff	(/.f32 #s(literal 1/2 binary32) x)
✓	cost-diff	(log.f32 (/.f32 #s(literal 1/2 binary32) x))
✓	cost-diff	(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
✓	cost-diff	(*.f32 x x)
✓	cost-diff	(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
✓	cost-diff	(/.f32 (-.f32 (/.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) x) x) #s(literal 1/2 binary32)) x)
✓	cost-diff	(+.f32 x (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) x) x) #s(literal 1/2 binary32)) x))
✓	cost-diff	(+.f32 (+.f32 x (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) x) x) #s(literal 1/2 binary32)) x)) x)
✓	cost-diff	(log.f32 (+.f32 (+.f32 x (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) x) x) #s(literal 1/2 binary32)) x)) x))

Rules

2324×	`sum5-define`
1774×	`sum3-define`
1504×	`sum4-define`
1396×	`fnmadd-define`
1158×	`fmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	177
1	56	175
2	87	175
3	148	175
4	253	175
5	475	175
6	1637	175
7	3569	175
8	5297	175
9	7508	175
0	8021	175

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize305.0ms (3.5%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f32 x x)
✓	accuracy	99.9%	(-.f32 (log.f32 (/.f32 x #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
✓	accuracy	98.2%	(log.f32 (/.f32 x #s(literal 1/2 binary32)))
✓	accuracy	97.9%	(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
✓	accuracy	100.0%	(/.f32 #s(literal -1/2 binary32) x)
✓	accuracy	100.0%	(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
✓	accuracy	99.9%	(+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))
✓	accuracy	98.1%	(log.f32 (+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))
✓	accuracy	100.0%	(/.f32 #s(literal 1/2 binary32) x)
✓	accuracy	100.0%	(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
✓	accuracy	100.0%	(log.f32 (/.f32 #s(literal 1/2 binary32) x))
✓	accuracy	100.0%	(*.f32 x x)
✓	accuracy	97.9%	(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
✓	accuracy	99.9%	(/.f32 (-.f32 (/.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) x) x) #s(literal 1/2 binary32)) x)
✓	accuracy	99.6%	(/.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) x) x)
✓	accuracy	98.3%	(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
✓	accuracy	98.1%	(log.f32 (+.f32 (+.f32 x (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) x) x) #s(literal 1/2 binary32)) x)) x))

Results

235.0ms

256×

valid

Compiler

Compiled 202 to 30 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-div: 17.0ms (29.8% of total)

ival-add: 17.0ms (29.8% of total)

ival-log: 16.0ms (28% of total)

ival-sub: 3.0ms (5.3% of total)

ival-mult: 2.0ms (3.5% of total)

const: 1.0ms (1.8% of total)

ival-neg: 1.0ms (1.8% of total)

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

series85.0ms (1%)

Counts

19 → 228

Calls

Call 1

Inputs
#<alt (log (+ (+ x (/ (- (/ (/ (+ -1/8 (/ -1/16 (* x x))) x) x) 1/2) x)) x))>
#<alt (+ (+ x (/ (- (/ (/ (+ -1/8 (/ -1/16 (* x x))) x) x) 1/2) x)) x)>
#<alt (+ x (/ (- (/ (/ (+ -1/8 (/ -1/16 (* x x))) x) x) 1/2) x))>
#<alt (/ (- (/ (/ (+ -1/8 (/ -1/16 (* x x))) x) x) 1/2) x)>
#<alt (/ -1/4 (* x x))>
#<alt (* x x)>
#<alt (neg (log (/ 1/2 x)))>
#<alt (log (/ 1/2 x))>
#<alt (/ 1/2 x)>
#<alt (log (+ x (+ x (/ -1/2 x))))>
#<alt (+ x (+ x (/ -1/2 x)))>
#<alt (+ x (/ -1/2 x))>
#<alt (/ -1/2 x)>
#<alt (- (log (/ x 1/2)) (/ 1/4 (* x x)))>
#<alt (log (/ x 1/2))>
#<alt (/ x 1/2)>
#<alt (/ 1/4 (* x x))>
#<alt (/ -1/16 (* x x))>
#<alt (/ (/ (+ -1/8 (/ -1/16 (* 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) (- (* -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) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)>
#<alt (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (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 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x))>
#<alt (* -1 (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -1 (+ (log 1/2) (* -1 (log x))))>
#<alt (* -1 (+ (log 1/2) (* -1 (log x))))>
#<alt (* -1 (+ (log 1/2) (* -1 (log x))))>
#<alt (* -1 (+ (log 1/2) (* -1 (log x))))>
#<alt (* -1 (+ (log 1/2) (log (/ 1 x))))>
#<alt (* -1 (+ (log 1/2) (log (/ 1 x))))>
#<alt (* -1 (+ (log 1/2) (log (/ 1 x))))>
#<alt (* -1 (+ (log 1/2) (log (/ 1 x))))>
#<alt (* -1 (+ (log -1/2) (log (/ -1 x))))>
#<alt (* -1 (+ (log -1/2) (log (/ -1 x))))>
#<alt (* -1 (+ (log -1/2) (log (/ -1 x))))>
#<alt (* -1 (+ (log -1/2) (log (/ -1 x))))>
#<alt (+ (log 1/2) (* -1 (log x)))>
#<alt (+ (log 1/2) (* -1 (log x)))>
#<alt (+ (log 1/2) (* -1 (log x)))>
#<alt (+ (log 1/2) (* -1 (log x)))>
#<alt (+ (log 1/2) (log (/ 1 x)))>
#<alt (+ (log 1/2) (log (/ 1 x)))>
#<alt (+ (log 1/2) (log (/ 1 x)))>
#<alt (+ (log 1/2) (log (/ 1 x)))>
#<alt (+ (log -1/2) (log (/ -1 x)))>
#<alt (+ (log -1/2) (log (/ -1 x)))>
#<alt (+ (log -1/2) (log (/ -1 x)))>
#<alt (+ (log -1/2) (log (/ -1 x)))>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (/ -1/2 x)>
#<alt (/ (- (pow x 2) 1/2) x)>
#<alt (/ (- (pow x 2) 1/2) x)>
#<alt (/ (- (pow x 2) 1/2) x)>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2))>
#<alt (/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2))>
#<alt (/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (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)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 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)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 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 (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 4))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 4))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 4))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 4))>
#<alt (/ -1/8 (pow x 2))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ -1/8 (pow x 2))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2)))>

Calls

57 calls:

Time	Variable		Point	Expression
23.0ms	x	@	inf	(neg (log (/ 1/2 x)))
21.0ms	x	@	inf	(log (/ x 1/2))
13.0ms	x	@	0	(neg (log (/ 1/2 x)))
12.0ms	x	@	-inf	(neg (log (/ 1/2 x)))
5.0ms	x	@	-inf	(log (/ x 1/2))

rewrite592.0ms (6.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1690×	`-lowering-.f32`
1690×	`-lowering-.f64`
1674×	`fma-lowering-fma.f32`
1674×	`fma-lowering-fma.f64`
1354×	`sum5-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	134
1	111	132
2	462	132
3	3759	132
0	8132	132

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 930

Calls

Call 1

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

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

simplify291.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

2424×	`-lowering-.f32`
2424×	`-lowering-.f64`
2270×	`fma-lowering-fma.f32`
2270×	`fma-lowering-fma.f64`
2120×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	218	1822
1	621	1549
2	1913	1505
3	5983	1503
0	8179	1503

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

eval129.0ms (1.5%)

Compiler: Compiled 22041 to 3636 computations (83.5% saved)

prune226.0ms (2.6%)

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	1223	5	1228
Fresh	0	2	2
Picked	0	5	5
Done	0	3	3
Total	1223	15	1238

Accuracy

100.0%

Counts

1238 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.4%	(/.f32 (/.f32 #s(literal -1/4 binary32) x) x)
▶	5.4%	(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal -1/4 binary32) x)))
▶	5.5%	(/.f32 #s(literal -1/4 binary32) (.f32 (.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) x)))
✓	5.4%	(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
✓	97.1%	(-.f32 (log.f32 (/.f32 x #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
▶	5.4%	(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))
✓	97.4%	(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
▶	97.6%	(log.f32 (-.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (*.f32 x x))) (-.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)))
	97.5%	(log.f32 (+.f32 (/.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 x x)) x) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (/.f32 x #s(literal 1/2 binary32)))))
✓	97.6%	(log.f32 (+.f32 (+.f32 x (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) x) x) #s(literal 1/2 binary32)) x)) x))
✓	97.5%	(log.f32 (+.f32 x (+.f32 x (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x))))
✓	97.2%	(log.f32 (+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))
✓	52.1%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
	52.1%	(log.f32 (+.f32 x (sqrt.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 x x)))))))
✓	95.6%	(log.f32 (+.f32 x x))

Compiler

Compiled 263 to 177 computations (32.7% saved)

simplify144.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f32 x x)
✓	cost-diff	0	(.f32 x (.f32 x x))
✓	cost-diff	0	(/.f32 #s(literal -1/4 binary32) (.f32 (.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) x)))
✓	cost-diff	192	(.f32 (.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) x))
✓	cost-diff	0	(/.f32 #s(literal -1/4 binary32) x)
✓	cost-diff	0	(/.f32 x (/.f32 #s(literal -1/4 binary32) x))
✓	cost-diff	64	(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal -1/4 binary32) x)))
✓	cost-diff	0	(/.f32 #s(literal -1/4 binary32) x)
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) x)
✓	cost-diff	64	(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))
✓	cost-diff	0	(/.f32 #s(literal -1/4 binary32) x)
✓	cost-diff	0	(/.f32 (/.f32 #s(literal -1/4 binary32) x) x)
✓	cost-diff	0	(+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x)))
✓	cost-diff	0	(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (*.f32 x x)))
✓	cost-diff	0	(-.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (*.f32 x x))) (-.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) x))
✓	cost-diff	0	(log.f32 (-.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (*.f32 x x))) (-.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)))

Rules

2000×	`/-lowering-/.f32`
2000×	`/-lowering-/.f64`
1964×	`-lowering-.f32`
1964×	`-lowering-.f64`
1916×	`sum4-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	133
1	61	132
2	128	130
3	317	127
4	1572	127
5	7423	127
0	8156	127

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize171.0ms (2%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f32 x x)
✓	accuracy	99.8%	(.f32 x (.f32 x x))
✓	accuracy	97.9%	(/.f32 #s(literal -1/4 binary32) (.f32 (.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) x)))
✓	accuracy	82.8%	(.f32 (.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) x))
✓	accuracy	100.0%	(/.f32 #s(literal -1/4 binary32) x)
✓	accuracy	99.6%	(/.f32 x (/.f32 #s(literal -1/4 binary32) x))
✓	accuracy	97.2%	(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal -1/4 binary32) x)))
✓	accuracy	100.0%	(/.f32 #s(literal 1 binary32) x)
✓	accuracy	100.0%	(/.f32 #s(literal -1/4 binary32) x)
✓	accuracy	99.0%	(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))
✓	accuracy	100.0%	(/.f32 #s(literal -1/4 binary32) x)
✓	accuracy	99.5%	(/.f32 (/.f32 #s(literal -1/4 binary32) x) x)
✓	accuracy	99.8%	(.f32 x (.f32 x x))
✓	accuracy	98.3%	(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
✓	accuracy	98.1%	(log.f32 (-.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (*.f32 x x))) (-.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)))
✓	accuracy	97.9%	(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (*.f32 x x)))

Results

132.0ms

256×

valid

Compiler

Compiled 175 to 25 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-div: 17.0ms (50.8% of total)

ival-mult: 7.0ms (20.9% of total)

ival-sub: 4.0ms (11.9% of total)

ival-log: 3.0ms (9% of total)

ival-add: 1.0ms (3% of total)

const: 1.0ms (3% of total)

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

series5.0ms (0.1%)

Counts

15 → 180

Calls

Call 1

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

Calls

45 calls:

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

rewrite261.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

1950×	`-lowering-.f32`
1950×	`-lowering-.f64`
1888×	`/-lowering-/.f32`
1888×	`/-lowering-/.f64`
1042×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	96
1	116	87
2	564	85
3	3304	85
0	8212	85

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 1068

Calls

Call 1

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

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

simplify252.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

2138×	`+-lowering-+.f64`
2138×	`+-lowering-+.f32`
1936×	`-lowering-.f32`
1936×	`-lowering-.f64`
1594×	`fnmadd-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	134	1089
1	363	902
2	1100	877
3	3125	869
4	7603	868
0	8416	868

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

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))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ -1/8 (pow x 3))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(/ -1/8 (pow x 3))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(/ -1/16 (pow x 2))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 2))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 2))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 2))
-1/8
(* -1 (+ 1/8 (* 1/16 (/ 1 (pow x 2)))))
(* -1 (+ 1/8 (* 1/16 (/ 1 (pow x 2)))))
(* -1 (+ 1/8 (* 1/16 (/ 1 (pow x 2)))))
-1/8
(* -1 (+ 1/8 (* 1/16 (/ 1 (pow x 2)))))
(* -1 (+ 1/8 (* 1/16 (/ 1 (pow x 2)))))
(* -1 (+ 1/8 (* 1/16 (/ 1 (pow x 2)))))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 x)
(/ -1/4 x)
(/ -1/4 x)
(/ -1/4 x)
(/ -1/4 x)
(/ -1/4 x)
(/ -1/4 x)
(/ -1/4 x)
(/ -1/4 x)
(/ -1/4 x)
(/ -1/4 x)
(/ -1/4 x)
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ -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))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ -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))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ -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))

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

eval137.0ms (1.6%)

Compiler: Compiled 25846 to 3263 computations (87.4% saved)

prune179.0ms (2.1%)

Pruning

27 alts after pruning (14 fresh and 13 done)

	Pruned	Kept	Total
New	1593	13	1606
Fresh	1	1	2
Picked	0	5	5
Done	0	8	8
Total	1594	27	1621

Accuracy

100.0%

Counts

1621 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.4%	(/.f32 (/.f32 (.f32 x #s(literal -1/4 binary32)) (.f32 x x)) x)
	5.5%	(/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x (.f32 x x))) (/.f32 #s(literal -1 binary32) x))
✓	5.4%	(/.f32 (/.f32 #s(literal -1/4 binary32) x) x)
	5.5%	(/.f32 x (/.f32 (.f32 x (.f32 x x)) #s(literal -1/4 binary32)))
✓	5.4%	(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal -1/4 binary32) x)))
	5.4%	(/.f32 #s(literal 1 binary32) (/.f32 x (.f32 x (/.f32 #s(literal -1/4 binary32) (.f32 x x)))))
	5.4%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) (.f32 x x))) x))
	2.4%	(/.f32 #s(literal -1/4 binary32) (/.f32 (.f32 x (.f32 x (.f32 x x))) (.f32 x x)))
	5.5%	(/.f32 #s(literal -1/4 binary32) (/.f32 (.f32 x (.f32 x x)) x))
	5.4%	(/.f32 #s(literal -1/4 binary32) (/.f32 (.f32 x x) (neg.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (neg.f32 x)))))
	5.5%	(/.f32 #s(literal -1/4 binary32) (.f32 (/.f32 (.f32 x x) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1 binary32) x)))
	5.5%	(/.f32 #s(literal -1/4 binary32) (.f32 (.f32 x (.f32 (/.f32 #s(literal 1 binary32) x) (.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) x)))
✓	5.5%	(/.f32 #s(literal -1/4 binary32) (.f32 (.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) x)))
✓	5.4%	(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
✓	97.1%	(-.f32 (log.f32 (/.f32 x #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
✓	5.4%	(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))
	5.5%	(.f32 (/.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal -1 binary32) (.f32 x (*.f32 x x))))
	5.5%	(.f32 (/.f32 #s(literal -1/4 binary32) (.f32 x (*.f32 x x))) x)
✓	97.4%	(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
✓	97.6%	(log.f32 (-.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (*.f32 x x))) (-.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)))
	97.5%	(log.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x))) (-.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)))
✓	97.6%	(log.f32 (+.f32 (+.f32 x (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) x) x) #s(literal 1/2 binary32)) x)) x))
✓	97.5%	(log.f32 (+.f32 x (+.f32 x (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x))))
✓	97.2%	(log.f32 (+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))
✓	52.1%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
	52.1%	(log.f32 (+.f32 x (sqrt.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 x x)))))))
✓	95.6%	(log.f32 (+.f32 x x))

Compiler

Compiled 729 to 345 computations (52.7% saved)

regimes33.0ms (0.4%)

Counts

34 → 1

Calls

Call 1

Inputs
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 (/.f32 #s(literal -1/4 binary32) x) x)
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal -1/4 binary32) x)))
(.f32 (/.f32 #s(literal -1/4 binary32) (.f32 x (*.f32 x x))) x)
(/.f32 #s(literal -1/4 binary32) (/.f32 (.f32 x (.f32 x x)) x))
(/.f32 x (/.f32 (.f32 x (.f32 x x)) #s(literal -1/4 binary32)))
(/.f32 (/.f32 (.f32 x #s(literal -1/4 binary32)) (.f32 x x)) x)
(/.f32 #s(literal -1/4 binary32) (.f32 (.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) x)))
(/.f32 #s(literal 1 binary32) (/.f32 x (.f32 x (/.f32 #s(literal -1/4 binary32) (.f32 x x)))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x (.f32 x x))) (/.f32 #s(literal -1 binary32) x))
(.f32 (/.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal -1 binary32) (.f32 x (*.f32 x x))))
(/.f32 #s(literal -1/4 binary32) (.f32 (/.f32 (.f32 x x) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1 binary32) x)))
(/.f32 #s(literal -1/4 binary32) (/.f32 (.f32 x x) (neg.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (neg.f32 x)))))
(/.f32 #s(literal -1/4 binary32) (/.f32 (.f32 x (.f32 x (.f32 x x))) (.f32 x x)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) (.f32 x x))) x))
(/.f32 #s(literal -1/4 binary32) (.f32 (.f32 x (.f32 (/.f32 #s(literal 1 binary32) x) (.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) x)))
(log.f32 (+.f32 x x))
(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
(log.f32 (+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))
(log.f32 (+.f32 x (+.f32 x (*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)))))
(-.f32 (log.f32 (/.f32 x #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 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 (/.f32 #s(literal -1/8 binary32) (*.f32 x x)) x) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (/.f32 x #s(literal 1/2 binary32)))))
(log.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x))) (-.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)))
(log.f32 (+.f32 (+.f32 x (/.f32 (-.f32 (/.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))) x) x) #s(literal 1/2 binary32)) x)) x))
(log.f32 (-.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (*.f32 x x))) (-.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)))
(log.f32 (+.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)) (.f32 x (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))))
(log.f32 (+.f32 x (+.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
(log.f32 (+.f32 x (sqrt.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 x x)))))))
(log.f32 (+.f32 x (sqrt.f32 (expm1.f32 (*.f32 #s(literal 2 binary32) (log.f32 x))))))

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

Calls

3 calls:

12.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
10.0ms	x
9.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Results

Accuracy	Segments	Branch
98.3%	1	`x`
98.3%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
98.3%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes27.0ms (0.3%)

Counts

31 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.6%	1	`x`
97.6%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
97.6%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes56.0ms (0.6%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

1 calls:

54.0ms

Results

Accuracy	Segments	Branch
97.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts

25 → 1

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
97.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0.1%)

Counts

24 → 1

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
97.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts

23 → 1

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
97.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
97.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
95.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts

17 → 1

Calls

Call 1

Inputs
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 (/.f32 #s(literal -1/4 binary32) x) x)
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal -1/4 binary32) x)))
(.f32 (/.f32 #s(literal -1/4 binary32) (.f32 x (*.f32 x x))) x)
(/.f32 #s(literal -1/4 binary32) (/.f32 (.f32 x (.f32 x x)) x))
(/.f32 x (/.f32 (.f32 x (.f32 x x)) #s(literal -1/4 binary32)))
(/.f32 (/.f32 (.f32 x #s(literal -1/4 binary32)) (.f32 x x)) x)
(/.f32 #s(literal -1/4 binary32) (.f32 (.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) x)))
(/.f32 #s(literal 1 binary32) (/.f32 x (.f32 x (/.f32 #s(literal -1/4 binary32) (.f32 x x)))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x (.f32 x x))) (/.f32 #s(literal -1 binary32) x))
(.f32 (/.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal -1 binary32) (.f32 x (*.f32 x x))))
(/.f32 #s(literal -1/4 binary32) (.f32 (/.f32 (.f32 x x) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1 binary32) x)))
(/.f32 #s(literal -1/4 binary32) (/.f32 (.f32 x x) (neg.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (neg.f32 x)))))
(/.f32 #s(literal -1/4 binary32) (/.f32 (.f32 x (.f32 x (.f32 x x))) (.f32 x x)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) (.f32 x x))) x))
(/.f32 #s(literal -1/4 binary32) (.f32 (.f32 x (.f32 (/.f32 #s(literal 1 binary32) x) (.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) x)))

Outputs
(/.f32 x (/.f32 (.f32 x (.f32 x x)) #s(literal -1/4 binary32)))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
5.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

6 → 1

Calls

Call 1

Inputs
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 (/.f32 #s(literal -1/4 binary32) x) x)
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal -1/4 binary32) x)))
(.f32 (/.f32 #s(literal -1/4 binary32) (.f32 x (*.f32 x x))) x)
(/.f32 #s(literal -1/4 binary32) (/.f32 (.f32 x (.f32 x x)) x))

Outputs
(/.f32 #s(literal -1/4 binary32) (/.f32 (.f32 x (.f32 x x)) x))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
5.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

5 → 1

Calls

Call 1

Inputs
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 (/.f32 #s(literal -1/4 binary32) x) x)
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal -1/4 binary32) x)))
(.f32 (/.f32 #s(literal -1/4 binary32) (.f32 x (*.f32 x x))) x)

Outputs
(.f32 (/.f32 #s(literal -1/4 binary32) (.f32 x (*.f32 x x))) x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
5.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

4 → 1

Calls

Call 1

Inputs
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 (/.f32 #s(literal -1/4 binary32) x) x)
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal -1/4 binary32) x)))

Outputs
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal -1/4 binary32) x)))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
5.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

3 → 1

Calls

Call 1

Inputs
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/.f32 (/.f32 #s(literal -1/4 binary32) x) x)
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))

Outputs
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
5.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify47.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

338×	`unsub-neg_binary32`
334×	`distribute-lft-neg-in_binary32`
310×	`cancel-sign-sub_binary32`
256×	`neg-mul-1_binary32`
226×	`neg-sub0_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	147
1	84	147
2	100	147
3	119	147
4	193	147
5	355	147
6	648	147
7	979	147
8	1225	147
9	1364	147
10	1415	147
11	1422	147

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness2.4s (27.6%)

Rules

4470×	`-lowering-.f32`
4470×	`-lowering-.f64`
3162×	`-lowering-.f32`
3162×	`-lowering-.f64`
2746×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	190
1	132	171
2	457	170
3	2254	164
0	8339	164
0	24	96
1	116	87
2	564	85
3	3304	85
0	8212	85
0	29	134
1	111	132
2	462	132
3	3759	132
0	8132	132
0	150	548
1	432	457
2	1370	445
3	4204	434
0	8278	434
0	134	1089
1	363	902
2	1100	877
3	3125	869
4	7603	868
0	8416	868
0	299	2446
1	869	2066
2	2833	2011
0	8324	2011

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 397 to 228 computations (42.6% saved)

preprocess83.0ms (1%)

Compiler: Compiled 342 to 148 computations (56.7% saved)

analyze0.0ms (0%)

sample780.0ms (9%)

preprocess20.0ms (0.2%)

explain134.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize39.0ms (0.5%)

series5.0ms (0.1%)

rewrite33.0ms (0.4%)

simplify255.0ms (2.9%)

eval5.0ms (0.1%)

prune12.0ms (0.1%)

simplify174.0ms (2%)

localize213.0ms (2.5%)

series133.0ms (1.5%)

rewrite337.0ms (3.9%)

simplify378.0ms (4.4%)

eval176.0ms (2%)

prune202.0ms (2.3%)

simplify280.0ms (3.2%)

localize305.0ms (3.5%)

series85.0ms (1%)

rewrite592.0ms (6.8%)

simplify291.0ms (3.4%)

eval129.0ms (1.5%)

prune226.0ms (2.6%)

simplify144.0ms (1.7%)

localize171.0ms (2%)

series5.0ms (0.1%)

rewrite261.0ms (3%)

simplify252.0ms (2.9%)

eval137.0ms (1.6%)

prune179.0ms (2.1%)

regimes33.0ms (0.4%)

regimes27.0ms (0.3%)

regimes56.0ms (0.6%)

regimes8.0ms (0.1%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

simplify47.0ms (0.5%)

soundness2.4s (27.6%)

preprocess83.0ms (1%)

end0.0ms (0%)

Profiling