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)

sample767.0ms (11%)

Results

617.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 214.0ms

ival-acosh: 154.0ms (72% of total)

ival->=: 48.0ms (22.4% of total)

const: 9.0ms (4.2% of total)

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

Bogosity

preprocess148.0ms (2.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	11	9
2	15	9
3	18	9
4	30	9
5	37	9
6	46	9
7	52	9
0	7	8
1	19	8
2	23	8
3	38	8
4	79	8
5	263	8
6	514	8
7	1117	8
8	3858	8
0	8013	8

Stop Event

1×	iter limit
1×	node limit
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain82.0ms (1.2%)

FPErrors

Click to see full error table

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

Results

42.0ms

512×

valid

Compiler

Compiled 80 to 23 computations (71.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-log: 6.0ms (27.1% of total)

ival-mult: 5.0ms (22.6% of total)

ival-sqrt: 4.0ms (18.1% of total)

ival-sub: 3.0ms (13.6% of total)

ival-add: 3.0ms (13.6% of total)

const: 1.0ms (4.5% of total)

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

eval0.0ms (0%)

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

prune2.0ms (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)

simplify166.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize42.0ms (0.6%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f32 (*.f32 x x) #s(literal 1 binary32))
✓	accuracy	99.9%	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
✓	accuracy	99.6%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	accuracy	56.0%	(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))

Results

33.0ms

256×

valid

Compiler

Compiled 35 to 8 computations (77.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-log: 7.0ms (48.2% of total)

ival-sub: 2.0ms (13.8% of total)

ival-mult: 2.0ms (13.8% of total)

ival-sqrt: 2.0ms (13.8% of total)

ival-add: 1.0ms (6.9% of total)

const: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite313.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 268

Calls

Call 1

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

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

simplify216.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval83.0ms (1.2%)

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

prune70.0ms (1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	311	5	316
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	312	5	317

Accuracy

100.0%

Counts

317 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.6%	(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
▶	99.6%	(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) x)))
▶	99.5%	(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x))))
▶	99.6%	(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))))))))
▶	99.2%	(log.f32 (+.f32 x x))

Compiler

Compiled 128 to 92 computations (28.1% saved)

simplify170.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize148.0ms (2.1%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f32 x)
✓	accuracy	100.0%	(log.f32 #s(literal 2 binary32))
✓	accuracy	99.1%	(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
✓	accuracy	100.0%	(*.f32 x #s(literal 2 binary32))
✓	accuracy	99.9%	(/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)
✓	accuracy	99.6%	(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) x)))
✓	accuracy	97.3%	(/.f32 #s(literal -1/8 binary32) (*.f32 x x))
✓	accuracy	100.0%	(+.f32 (.f32 x #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x)))
✓	accuracy	100.0%	(*.f32 x #s(literal 2 binary32))
✓	accuracy	100.0%	(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x))
✓	accuracy	99.6%	(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x))))
✓	accuracy	100.0%	(+.f32 x x)
✓	accuracy	99.6%	(log.f32 (+.f32 x x))
✓	accuracy	99.8%	(.f32 x (.f32 x x))
✓	accuracy	99.6%	(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))))))))
✓	accuracy	97.9%	(/.f32 (-.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))
✓	accuracy	97.6%	(/.f32 #s(literal 1/16 binary32) (*.f32 x x))

Results

102.0ms

256×

valid

Compiler

Compiled 256 to 32 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-mult: 28.0ms (42.4% of total)

ival-log: 15.0ms (22.7% of total)

ival-div: 10.0ms (15.1% of total)

ival-add: 10.0ms (15.1% of total)

ival-sub: 1.0ms (1.5% of total)

const: 1.0ms (1.5% of total)

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

series129.0ms (1.9%)

Counts

19 → 216

Calls

Call 1

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

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

Calls

54 calls:

Time	Variable		Point	Expression
28.0ms	x	@	0	(+ (log 2) (log x))
28.0ms	x	@	0	(log (+ x x))
27.0ms	x	@	-inf	(+ (log 2) (log x))
19.0ms	x	@	-inf	(log (+ x x))
8.0ms	x	@	inf	(+ (log 2) (log x))

rewrite446.0ms (6.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 1602

Calls

Call 1

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

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

simplify336.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

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

eval376.0ms (5.4%)

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

prune246.0ms (3.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	2146	2	2148
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	2148	5	2153

Accuracy

100.0%

Counts

2153 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.6%	(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
▶	99.6%	(log.f32 (-.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))) (/.f32 #s(literal 1/2 binary32) x)))
▶	99.5%	(log.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x) x))
✓	99.6%	(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) x)))
✓	99.2%	(log.f32 (+.f32 x x))

Compiler

Compiled 60 to 41 computations (31.7% saved)

simplify130.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

1540×	`fnmadd-define`
1498×	`sum4-define`
1248×	`-lowering-.f32`
1248×	`-lowering-.f64`
1114×	`sum3-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	21	132
1	49	120
2	106	120
3	216	120
4	431	117
5	1255	117
6	3990	117
0	8238	117

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize118.0ms (1.7%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f32 x (.f32 x x))
✓	accuracy	99.6%	(log.f32 (-.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))) (/.f32 #s(literal 1/2 binary32) x)))
✓	accuracy	97.9%	(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))
✓	accuracy	97.6%	(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
✓	accuracy	100.0%	(/.f32 #s(literal -1/2 binary32) x)
✓	accuracy	100.0%	(+.f32 (/.f32 #s(literal -1/2 binary32) x) x)
✓	accuracy	99.9%	(+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x) x)
✓	accuracy	99.6%	(log.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x) x))

Results

92.0ms

256×

valid

Compiler

Compiled 160 to 22 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-div: 28.0ms (39.4% of total)

ival-add: 27.0ms (38% of total)

ival-mult: 8.0ms (11.3% of total)

ival-log: 6.0ms (8.4% of total)

ival-sub: 1.0ms (1.4% of total)

const: 1.0ms (1.4% of total)

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

series6.0ms (0.1%)

Counts

11 → 132

Calls

Call 1

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

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

33 calls:

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

rewrite359.0ms (5.2%)

Algorithm

1×	batch-egg-rewrite

Rules

4524×	`-lowering-.f32`
4524×	`-lowering-.f64`
3172×	`/-lowering-/.f32`
3172×	`/-lowering-/.f64`
2668×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	109
1	138	99
2	1400	95
0	8281	95

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 499

Calls

Call 1

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

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

simplify324.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

2334×	`-lowering-.f32`
2334×	`-lowering-.f64`
2000×	`fma-lowering-fma.f32`
2000×	`fma-lowering-fma.f64`
1794×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	197	1205
1	565	1053
2	1741	1027
3	4870	1016
0	8336	1016

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

eval68.0ms (1%)

Compiler: Compiled 29248 to 2642 computations (91% saved)

prune121.0ms (1.7%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	630	1	631
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	630	6	636

Accuracy

100.0%

Counts

636 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.6%	(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
✓	99.6%	(log.f32 (-.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))) (/.f32 #s(literal 1/2 binary32) x)))
▶	44.6%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x))
✓	99.5%	(log.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x) x))
✓	99.6%	(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) x)))
✓	99.2%	(log.f32 (+.f32 x x))

Compiler

Compiled 67 to 46 computations (31.3% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

4×	`+-lowering-+.f64`
4×	`+-lowering-+.f32`
2×	`log-lowering-log.f64`
2×	`/-lowering-/.f32`
2×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	16
1	6	16
0	6	16

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(log (+ (/ -1/2 x) x))
(+ (/ -1/2 x) x)
(/ -1/2 x)
-1/2
x

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

localize24.0ms (0.3%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f32 #s(literal -1/2 binary32) x)
✓	accuracy	100.0%	(+.f32 (/.f32 #s(literal -1/2 binary32) x) x)
✓	accuracy	100.0%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x))

Results

17.0ms

256×

valid

Compiler

Compiled 18 to 6 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-log: 4.0ms (45.1% of total)

ival-div: 2.0ms (22.5% of total)

ival-add: 1.0ms (11.3% of total)

const: 0.0ms (0% of total)

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

series2.0ms (0%)

Counts

3 → 36

Calls

Call 1

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

Outputs
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (+ (* -2 (pow x 2)) (* -1 (log x))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -2 (pow x 2)) 2))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -8/3 (pow x 2)) 2)) 2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (- (* -1 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))>
#<alt (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))>
#<alt (- (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/8 (* 1/24 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -1) (* -1 (log (/ -1 x)))) (* 1/2 (/ 1 (pow x 2))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/8 (* 1/24 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))>
#<alt (/ -1/2 x)>
#<alt (/ (- (pow x 2) 1/2) x)>
#<alt (/ (- (pow x 2) 1/2) x)>
#<alt (/ (- (pow x 2) 1/2) x)>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>

Calls

9 calls:

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

rewrite243.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2710×	`-lowering-.f32`
2710×	`-lowering-.f64`
1352×	`/-lowering-/.f32`
1352×	`/-lowering-/.f64`
1092×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	14
1	28	14
2	256	14
3	3971	14
0	8326	14

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 160

Calls

Call 1

Inputs
(log (+ (/ -1/2 x) x))
(+ (/ -1/2 x) x)
(/ -1/2 x)

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

simplify243.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

2116×	`fma-lowering-fma.f32`
2116×	`fma-lowering-fma.f64`
1994×	`fnmadd-define`
1808×	`fmsub-define`
1806×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	67	284
1	190	240
2	547	226
3	1461	226
4	4750	226
0	8089	226

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

Inputs
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (+ (* -2 (pow x 2)) (* -1 (log x))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -2 (pow x 2)) 2))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -8/3 (pow x 2)) 2)) 2))))
(* -1 (log (/ 1 x)))
(- (* -1 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))
(+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))
(- (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/8 (* 1/24 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))
(+ (log -1) (* -1 (log (/ -1 x))))
(- (+ (log -1) (* -1 (log (/ -1 x)))) (* 1/2 (/ 1 (pow x 2))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/8 (* 1/24 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))
(/ -1/2 x)
(/ (- (pow x 2) 1/2) x)
(/ (- (pow x 2) 1/2) x)
(/ (- (pow x 2) 1/2) x)
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
x
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)

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

eval18.0ms (0.3%)

Compiler: Compiled 4671 to 564 computations (87.9% saved)

prune47.0ms (0.7%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	195	1	196
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	196	6	202

Accuracy

100.0%

Counts

202 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.6%	(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
✓	99.6%	(log.f32 (-.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))) (/.f32 #s(literal 1/2 binary32) x)))
✓	99.5%	(log.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x) x))
✓	99.6%	(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) x)))
✓	99.2%	(log.f32 (+.f32 x x))
	44.6%	(log.f32 x)

Compiler

Compiled 172 to 92 computations (46.5% saved)

regimes10.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

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

Calls

3 calls:

3.0ms	x
3.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
3.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
99.6%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes3.0ms (0%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes15.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
99.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes14.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(log.f32 x)

Outputs
(log.f32 x)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
44.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

22×	`+-commutative_binary32`
16×	`*-commutative_binary32`
8×	`sub-neg_binary32`
6×	`neg-sub0_binary32`
6×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	60
1	52	60
2	60	60
3	66	60
4	71	60
5	73	60

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.4s (20%)

Rules

3240×	`-lowering-.f32`
3240×	`-lowering-.f64`
2938×	`/-lowering-/.f32`
2938×	`/-lowering-/.f64`
2366×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	197	1205
1	565	1053
2	1741	1027
3	4870	1016
0	8336	1016
0	67	284
1	190	240
2	547	226
3	1461	226
4	4750	226
0	8089	226
0	150	548
1	432	457
2	1373	445
3	4237	434
0	8342	434
0	31	143
1	198	123
2	2294	120
0	8528	120

Stop Event

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

Compiler

Compiled 118 to 72 computations (39% saved)

preprocess58.0ms (0.8%)

Compiler: Compiled 168 to 96 computations (42.9% saved)

analyze0.0ms (0%)

sample767.0ms (11%)

preprocess148.0ms (2.1%)

explain82.0ms (1.2%)

eval0.0ms (0%)

prune2.0ms (0%)

simplify166.0ms (2.4%)

localize42.0ms (0.6%)

series5.0ms (0.1%)

rewrite313.0ms (4.5%)

simplify216.0ms (3.1%)

eval83.0ms (1.2%)

prune70.0ms (1%)

simplify170.0ms (2.4%)

localize148.0ms (2.1%)

series129.0ms (1.9%)

rewrite446.0ms (6.4%)

simplify336.0ms (4.8%)

eval376.0ms (5.4%)

prune246.0ms (3.5%)

simplify130.0ms (1.9%)

localize118.0ms (1.7%)

series6.0ms (0.1%)

rewrite359.0ms (5.2%)

simplify324.0ms (4.7%)

eval68.0ms (1%)

prune121.0ms (1.7%)

simplify5.0ms (0.1%)

localize24.0ms (0.3%)

series2.0ms (0%)

rewrite243.0ms (3.5%)

simplify243.0ms (3.5%)

eval18.0ms (0.3%)

prune47.0ms (0.7%)

regimes10.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes15.0ms (0.2%)

regimes14.0ms (0.2%)

regimes1.0ms (0%)

simplify10.0ms (0.1%)

soundness1.4s (20%)

preprocess58.0ms (0.8%)

end0.0ms (0%)

Profiling