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)

sample511.0ms (3.5%)

Results

401.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 178.0ms

ival-acosh: 127.0ms (71.4% of total)

ival->=: 42.0ms (23.6% of total)

const: 7.0ms (3.9% of total)

backward-pass: 3.0ms (1.7% of total)

Bogosity

preprocess794.0ms (5.5%)

Algorithm

2×	egg-herbie

Rules

29894×	`accelerator-lowering-fma.f32`
29894×	`accelerator-lowering-fma.f64`
4210×	`-lowering-.f32`
4210×	`-lowering-.f64`
2884×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	11	9
2	15	9
3	18	9
4	22	9
5	29	9
6	36	9
0	7	9
1	16	9
2	20	9
3	35	9
4	66	9
5	127	9
6	287	9
7	567	9
8	2049	9
9	3153	9
10	4418	9
11	5102	9
12	5404	9
13	5589	9
14	5691	9
15	6010	9
16	6556	9
17	7667	9
0	8087	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)))

explain101.0ms (0.7%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
122	-	0	-	`(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))`
1	-	0	-	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
1	-	1	(1.0151821374893188)	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`
0	-	0	-	`x`
0	-	0	-	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`
0	-	0	-	`#s(literal 1 binary32)`
0	-	0	-	`(*.f32 x x)`

Results

64.0ms

512×

valid

Compiler

Compiled 80 to 23 computations (71.3% saved)

Precisions

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

ival-sqrt: 8.0ms (33% of total)

ival-log: 6.0ms (24.7% of total)

ival-mult: 4.0ms (16.5% of total)

ival-sub: 3.0ms (12.4% of total)

ival-add: 3.0ms (12.4% of total)

const: 1.0ms (4.1% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.3%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify966.0ms (6.7%)

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

29894×	`accelerator-lowering-fma.f32`
29894×	`accelerator-lowering-fma.f64`
4210×	`-lowering-.f32`
4210×	`-lowering-.f64`
2884×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	33
1	16	33
2	20	33
3	35	33
4	66	33
5	127	33
6	287	33
7	567	33
8	2049	33
9	3153	33
10	4418	33
11	5102	33
12	5404	33
13	5589	33
14	5691	33
15	6010	33
16	6556	33
17	7667	33
0	8087	29

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize33.0ms (0.2%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
✓	accuracy	99.9%	(-.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	59.2%	(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))

Results

21.0ms

256×

valid

Compiler

Compiled 35 to 8 computations (77.1% saved)

Precisions

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

ival-mult: 4.0ms (33.4% of total)

ival-log: 3.0ms (25% of total)

ival-sqrt: 2.0ms (16.7% of total)

ival-sub: 1.0ms (8.3% of total)

ival-add: 1.0ms (8.3% of total)

const: 0.0ms (0% of total)

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

series9.0ms (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)

rewrite404.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4994×	`accelerator-lowering-fma.f32`
4994×	`accelerator-lowering-fma.f64`
3230×	`-lowering-.f32`
3230×	`-lowering-.f64`
2612×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	28
1	44	28
2	317	28
3	3621	28
0	8641	24

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 320

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 (.f32 x x) #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) #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 (.f32 x x) #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) #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 (.f32 x x) #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 #s(literal 1 binary32) (-.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 (.f32 x x) #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 (.f32 x x) #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 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 x (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))) (log.f32 (+.f32 (.f32 x x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(+.f32 (log.f32 (/.f32 (+.f32 (.f32 x x) (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 (.f32 x x) (-.f32 #s(literal 1 binary32) (.f32 x x))))) (log.f32 (+.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)))))
(+.f32 (log.f32 (/.f32 (+.f32 (.f32 x (.f32 x x)) (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 3/2 binary32))) (+.f32 (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))) (pow.f32 (+.f32 #s(literal -1 binary32) (.f32 x (-.f32 x (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))) #s(literal 3 binary32))))) (log.f32 (+.f32 (.f32 x (.f32 x (.f32 x x))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 x (-.f32 x (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))) (-.f32 (+.f32 #s(literal -1 binary32) (.f32 x (-.f32 x (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))) (*.f32 x x))))))
(+.f32 (log.f32 (/.f32 (+.f32 (.f32 x (.f32 x x)) (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 3/2 binary32))) (-.f32 (.f32 x (.f32 x (.f32 x x))) (pow.f32 (+.f32 #s(literal -1 binary32) (.f32 x (-.f32 x (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (log.f32 (-.f32 (.f32 x x) (+.f32 #s(literal -1 binary32) (.f32 x (-.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))))))
(+.f32 (log.f32 (/.f32 (+.f32 (.f32 x x) (-.f32 #s(literal 1 binary32) (.f32 x x))) (-.f32 (.f32 x (.f32 x x)) (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 3/2 binary32))))) (log.f32 (+.f32 (+.f32 (.f32 x x) (+.f32 (.f32 x x) #s(literal -1 binary32))) (.f32 x (pow.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32))))))
(fma.f32 #s(literal -1 binary32) (log.f32 (+.f32 (+.f32 (.f32 x x) #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)))))
(fma.f32 #s(literal -1 binary32) (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)))))
(fma.f32 #s(literal -1 binary32) (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 (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)))))))
(fma.f32 #s(literal -1 binary32) (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 (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) (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 (.f32 x x) #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)))))
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(.f32 (neg.f32 (+.f32 (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 (.f32 x x) #s(literal 1 binary32))))))
(.f32 (neg.f32 (+.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 (.f32 x x) #s(literal 1 binary32)))) (+.f32 (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (.f32 x x) #s(literal 1 binary32))) (+.f32 (.f32 x (.f32 x (*.f32 x x))) #s(literal -1 binary32)))
(.f32 (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 3/4 binary32)) (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 3/4 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 (pow.f32 (.f32 (+.f32 (*.f32 x x) #s(literal -1 binary32)) (+.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 (.f32 x (.f32 x (.f32 x x))) #s(literal -1 binary32)) (+.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal -1 binary32))) (+.f32 (.f32 x x) #s(literal -1 binary32)))
(.f32 (/.f32 (+.f32 (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))) #s(literal -1 binary32)) (+.f32 (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))))) (.f32 (+.f32 (.f32 x x) #s(literal 1 binary32)) (.f32 (+.f32 (.f32 x x) #s(literal 1 binary32)) (+.f32 (.f32 x x) #s(literal 1 binary32)))))) (+.f32 (.f32 x (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x (.f32 x x))))) (.f32 (+.f32 (.f32 x x) #s(literal 1 binary32)) (-.f32 (+.f32 (.f32 x x) #s(literal 1 binary32)) (.f32 x (.f32 x (*.f32 x x)))))))
(.f32 (/.f32 (+.f32 (.f32 (.f32 x x) (.f32 x (.f32 x (.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 (.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 (.f32 x (.f32 x (.f32 x x))) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 (.f32 x x) #s(literal -1 binary32)))))
(.f32 (/.f32 (+.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 x x))))) (-.f32 #s(literal 1 binary32) (.f32 x x)))
(*.f32 (exp.f32 (log1p.f32 x)) (exp.f32 (log.f32 (+.f32 x #s(literal -1 binary32)))))
(*.f32 (exp.f32 (log.f32 (+.f32 x #s(literal -1 binary32)))) (exp.f32 (log1p.f32 x)))
(.f32 (exp.f32 (log.f32 (+.f32 (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))) #s(literal -1 binary32)))) (exp.f32 (neg.f32 (log1p.f32 (+.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x))))))))
(.f32 (exp.f32 (log.f32 (+.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal -1 binary32)))) (exp.f32 (neg.f32 (log1p.f32 (*.f32 x x)))))
(expm1.f32 (*.f32 #s(literal 2 binary32) (log.f32 x)))
(expm1.f32 (.f32 (.f32 #s(literal 2 binary32) (log.f32 x)) #s(literal 1 binary32)))

simplify497.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

10204×	`accelerator-lowering-fma.f32`
10204×	`accelerator-lowering-fma.f64`
3650×	`-lowering-.f32`
3650×	`-lowering-.f64`
2854×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	559
1	411	533
2	1147	526
3	3325	488
4	7968	488
0	8520	459

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

eval36.0ms (0.3%)

Compiler: Compiled 11369 to 1568 computations (86.2% saved)

prune87.0ms (0.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	360	8	368
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	360	9	369

Accuracy

100.0%

Counts

369 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(+.f32 (log.f32 x) (+.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
▶	96.7%	(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
▶	99.2%	(log.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))))))))
▶	99.1%	(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x)))
	98.6%	(log.f32 (+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x)))
	99.2%	(log.f32 (+.f32 x (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))))))
✓	55.3%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
	55.4%	(log.f32 (+.f32 x (sqrt.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))))
▶	97.3%	(log.f32 (+.f32 x x))

Compiler

Compiled 232 to 161 computations (30.6% saved)

simplify319.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

6404×	`accelerator-lowering-fma.f32`
6404×	`accelerator-lowering-fma.f64`
2170×	`-lowering-.f32`
2170×	`-lowering-.f64`
1354×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	230
1	65	218
2	129	218
3	258	218
4	399	218
5	625	218
6	1371	218
7	4602	218
0	8083	208

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize201.0ms (1.4%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f32 #s(literal 2 binary32))
✓	accuracy	100.0%	(+.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
✓	accuracy	99.0%	(+.f32 (log.f32 x) (+.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
✓	accuracy	97.2%	(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
✓	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	97.4%	(/.f32 #s(literal 1/8 binary32) (*.f32 x x))
✓	accuracy	100.0%	(+.f32 x x)
✓	accuracy	99.6%	(log.f32 (+.f32 x x))
✓	accuracy	99.7%	(.f32 x (.f32 x x))
✓	accuracy	99.6%	(log.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))))))))
✓	accuracy	98.9%	(/.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

107.0ms

256×

valid

Compiler

Compiled 246 to 33 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-div: 14.0ms (28.7% of total)

ival-log: 14.0ms (28.7% of total)

ival-add: 10.0ms (20.5% of total)

ival-mult: 8.0ms (16.4% of total)

ival-sub: 1.0ms (2.1% of total)

const: 1.0ms (2.1% of total)

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

series162.0ms (1.1%)

Counts

20 → 228

Calls

Call 1

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

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

Calls

57 calls:

Time	Variable		Point	Expression
46.0ms	x	@	-inf	(+ (log 2) (log x))
28.0ms	x	@	0	(log (+ x x))
26.0ms	x	@	0	(+ (log 2) (log x))
22.0ms	x	@	-inf	(log (+ x x))
6.0ms	x	@	inf	(log (+ x x))

rewrite759.0ms (5.2%)

Algorithm

1×	batch-egg-rewrite

Rules

8992×	`accelerator-lowering-fma.f32`
8992×	`accelerator-lowering-fma.f64`
4872×	`/-lowering-/.f32`
4872×	`/-lowering-/.f64`
3870×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	166
1	209	158
2	2271	158
0	8855	142

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 954

Calls

Call 1

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

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

simplify918.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

14368×	`accelerator-lowering-fma.f32`
14368×	`accelerator-lowering-fma.f64`
3526×	`-lowering-.f32`
3526×	`-lowering-.f64`
3474×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	200	1891
1	518	1791
2	1397	1742
3	3617	1695
0	8362	1647

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

eval144.0ms (1%)

Compiler: Compiled 30818 to 3354 computations (89.1% saved)

prune154.0ms (1.1%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	1192	4	1196
Fresh	2	1	3
Picked	1	4	5
Done	0	1	1
Total	1195	10	1205

Accuracy

100.0%

Counts

1205 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.3%	(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
▶	44.1%	(+.f32 (log.f32 x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
✓	98.0%	(+.f32 (log.f32 x) (+.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
✓	96.7%	(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
▶	99.2%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (+.f32 (.f32 x #s(literal 2 binary32)) (.f32 (/.f32 #s(literal -1 binary32) x) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 x x))))))
▶	98.6%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 x #s(literal 2 binary32))))
✓	99.1%	(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x)))
✓	55.3%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
▶	55.4%	(log.f32 (+.f32 x (sqrt.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))))
✓	97.3%	(log.f32 (+.f32 x x))

Compiler

Compiled 170 to 121 computations (28.8% saved)

simplify482.0ms (3.3%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

14356×	`accelerator-lowering-fma.f32`
14356×	`accelerator-lowering-fma.f64`
2790×	`+-lowering-+.f64`
2790×	`+-lowering-+.f32`
2656×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	221
1	60	217
2	121	217
3	206	205
4	403	197
5	666	197
6	1735	197
7	3353	197
8	5520	197
9	6856	197
10	7570	197
11	7814	197
12	7887	197
13	7902	197
0	8128	188

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize135.0ms (0.9%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32)))
✓	accuracy	99.9%	(+.f32 x (sqrt.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32)))))
✓	accuracy	99.6%	(log.f32 (+.f32 x (sqrt.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))))
✓	accuracy	59.2%	(sqrt.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))
✓	accuracy	100.0%	(*.f32 x x)
✓	accuracy	100.0%	(log.f32 x)
✓	accuracy	100.0%	(+.f32 (log.f32 x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
✓	accuracy	97.2%	(/.f32 #s(literal -1/4 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) (*.f32 x #s(literal 2 binary32)))
✓	accuracy	100.0%	(*.f32 x #s(literal 2 binary32))
✓	accuracy	99.6%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 x #s(literal 2 binary32))))
✓	accuracy	100.0%	(*.f32 x x)
✓	accuracy	97.2%	(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
✓	accuracy	99.7%	(.f32 (/.f32 #s(literal -1 binary32) x) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (*.f32 x x)))
✓	accuracy	99.6%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (+.f32 (.f32 x #s(literal 2 binary32)) (.f32 (/.f32 #s(literal -1 binary32) x) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 x x))))))
✓	accuracy	97.6%	(/.f32 #s(literal 1/16 binary32) (*.f32 x x))
✓	accuracy	97.4%	(/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 x x))

Results

77.0ms

256×

valid

Compiler

Compiled 223 to 31 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-add: 11.0ms (25.8% of total)

ival-log: 11.0ms (25.8% of total)

ival-div: 10.0ms (23.5% of total)

ival-mult: 7.0ms (16.4% of total)

ival-sqrt: 3.0ms (7% of total)

const: 1.0ms (2.3% of total)

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

series80.0ms (0.6%)

Counts

18 → 216

Calls

Call 1

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

Outputs
#<alt (+ (log -1/16) (* -5 (log x)))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ -1/8 (pow x 3))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (/ -1/8 (pow x 3))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ (- (* (pow x 2) (log x)) 1/4) (pow x 2))>
#<alt (/ (- (* (pow x 2) (log x)) 1/4) (pow x 2))>
#<alt (/ (- (* (pow x 2) (log x)) 1/4) (pow x 2))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (- (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -1) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log -1) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log -1) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (log (sqrt -1))>
#<alt (+ (log (sqrt -1)) (/ x (sqrt -1)))>
#<alt (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))>
#<alt (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x))))>
#<alt (+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))>
#<alt (+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))>
#<alt (+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))))>
#<alt (sqrt -1)>
#<alt (+ x (sqrt -1))>
#<alt (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))>
#<alt (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* x (- (pow (sqrt -1) 2) 1)))>
#<alt (* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1)))>
#<alt (* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))>
#<alt (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))>
#<alt (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* x (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))))>
#<alt (* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))))>
#<alt -1>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (/ 1/16 (pow x 4))>
#<alt (/ (+ 1/16 (* 1/8 (pow x 2))) (pow x 4))>
#<alt (/ (+ 1/16 (* 1/8 (pow x 2))) (pow x 4))>
#<alt (/ (+ 1/16 (* 1/8 (pow x 2))) (pow x 4))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ 1/16 (pow x 2))>
#<alt (/ 1/16 (pow x 2))>
#<alt (/ 1/16 (pow x 2))>
#<alt (/ 1/16 (pow x 2))>
#<alt (/ 1/16 (pow x 2))>
#<alt (/ 1/16 (pow x 2))>
#<alt (/ 1/16 (pow x 2))>
#<alt (/ 1/16 (pow x 2))>
#<alt (/ 1/16 (pow x 2))>
#<alt (/ 1/16 (pow x 2))>
#<alt (/ 1/16 (pow x 2))>
#<alt (/ 1/16 (pow x 2))>

Calls

54 calls:

Time	Variable		Point	Expression
46.0ms	x	@	-inf	(log (+ x (sqrt (* (+ x 1) (+ x -1)))))
1.0ms	x	@	inf	(log (+ (/ -1/2 x) (* x 2)))
0.0ms	x	@	0	(log (+ (/ -1/2 x) (* x 2)))
0.0ms	x	@	inf	(log (+ x (sqrt (* (+ x 1) (+ x -1)))))
0.0ms	x	@	0	(log (+ (/ -1/2 x) (+ (* x 2) (* (/ -1 x) (/ (+ 1/8 (/ 1/16 (* x x))) (* x x))))))

rewrite510.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

6732×	`accelerator-lowering-fma.f32`
6732×	`accelerator-lowering-fma.f64`
4280×	`/-lowering-/.f32`
4280×	`/-lowering-/.f64`
3684×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	172
1	189	152
2	2008	152
0	8588	135

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 753

Calls

Call 1

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

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

simplify447.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

8660×	`accelerator-lowering-fma.f32`
8660×	`accelerator-lowering-fma.f64`
4036×	`+-lowering-+.f64`
4036×	`+-lowering-+.f32`
3098×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	338	2181
1	907	1953
2	2748	1919
3	7541	1918
0	8435	1854

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)))
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))
(* 2 x)
(* x (- 2 (* 1/8 (/ 1 (pow x 4)))))
(* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(* 2 x)
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ -1/8 (pow x 3))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(/ -1/8 (pow x 3))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/2 x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(/ -1/4 (pow x 2))
(/ (- (* (pow x 2) (log x)) 1/4) (pow x 2))
(/ (- (* (pow x 2) (log x)) 1/4) (pow x 2))
(/ (- (* (pow x 2) (log x)) 1/4) (pow x 2))
(* -1 (log (/ 1 x)))
(- (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -1) (* -1 (log (/ -1 x))))
(- (+ (log -1) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log -1) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log -1) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(log x)
(log x)
(log x)
(log x)
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* -1 (* x (- (pow (sqrt -1) 2) 1)))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1)))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))))
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2)))))))
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(/ 1/16 (pow x 4))
(/ (+ 1/16 (* 1/8 (pow x 2))) (pow x 4))
(/ (+ 1/16 (* 1/8 (pow x 2))) (pow x 4))
(/ (+ 1/16 (* 1/8 (pow x 2))) (pow x 4))
(/ 1/8 (pow x 2))
(/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))
(/ 1/8 (pow x 2))
(/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))
(/ 1/16 (pow x 2))
(/ 1/16 (pow x 2))
(/ 1/16 (pow x 2))
(/ 1/16 (pow x 2))
(/ 1/16 (pow x 2))
(/ 1/16 (pow x 2))
(/ 1/16 (pow x 2))
(/ 1/16 (pow x 2))
(/ 1/16 (pow x 2))
(/ 1/16 (pow x 2))
(/ 1/16 (pow x 2))
(/ 1/16 (pow x 2))

Outputs
(+ (log -1/16) (* -5 (log x)))
(+.f32 (log.f32 #s(literal -1/16 binary32)) (*.f32 #s(literal -5 binary32) (log.f32 x)))
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))
(+.f32 (log.f32 #s(literal -1/16 binary32)) (+.f32 (.f32 #s(literal -5 binary32) (log.f32 x)) (.f32 x (*.f32 x #s(literal 2 binary32)))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))
(+.f32 (log.f32 #s(literal -1/16 binary32)) (+.f32 (.f32 #s(literal -5 binary32) (log.f32 x)) (.f32 (.f32 x x) (+.f32 #s(literal 2 binary32) (.f32 (*.f32 x x) #s(literal 6 binary32))))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))
(+.f32 (+.f32 (log.f32 #s(literal -1/16 binary32)) (.f32 #s(literal -5 binary32) (log.f32 x))) (.f32 (.f32 x x) (+.f32 #s(literal 2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 6 binary32) (.f32 x (*.f32 x #s(literal -136/3 binary32))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -3/32 binary32) (.f32 x x))) (.f32 x x)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 #s(literal -1/4 binary32) (.f32 x x))) (/.f32 (+.f32 #s(literal -3/32 binary32) (/.f32 #s(literal -5/96 binary32) (.f32 x x))) (.f32 (.f32 x x) (*.f32 x x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (log.f32 #s(literal -2 binary32)) (-.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f32 (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -3/32 binary32) (.f32 x x))) (.f32 x x)) (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (/.f32 (+.f32 #s(literal -3/32 binary32) (/.f32 #s(literal -5/96 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x))) (+.f32 (log.f32 #s(literal -2 binary32)) (-.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))))
(/ -1/16 (pow x 5))
(/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 5 binary32)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 x (.f32 x #s(literal -1/8 binary32)))) (pow.f32 x #s(literal 5 binary32)))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x #s(literal -1/2 binary32)))))) (pow.f32 x #s(literal 5 binary32)))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32))))))) (pow.f32 x #s(literal 5 binary32)))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) (*.f32 x x))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(.f32 x (+.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x)))))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(.f32 x (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (.f32 x x))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(.f32 x (neg.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 x x) (.f32 x x))) (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal -2 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 #s(literal 2 binary32) (.f32 (.f32 x x) (.f32 x x)))))) (pow.f32 x #s(literal 5 binary32)))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (.f32 #s(literal 2 binary32) (.f32 (.f32 x x) (.f32 x x)))))) (pow.f32 x #s(literal 5 binary32)))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (- 2 (* 1/8 (/ 1 (pow x 4)))))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (.f32 x x)))))
(* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (*.f32 x x)))))
(* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (*.f32 x x)))))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 x x) (.f32 x x)))))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))
(.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 x x) (.f32 x x))) (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal -2 binary32))) (neg.f32 x))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))
(.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 x x) (.f32 x x))) (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal -2 binary32))) (neg.f32 x))
(/ -1/16 (pow x 5))
(/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 5 binary32)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 x (.f32 x #s(literal -1/8 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)))
(/ (- (* -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)))
(/ -1/8 (pow x 3))
(/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (*.f32 x x)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (*.f32 x x)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (*.f32 x x)))
(/ -1/8 (pow x 3))
(/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (*.f32 x x)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (*.f32 x x)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (*.f32 x x)))
(/ -1/4 (pow x 2))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/ -1/4 (pow x 2))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/ -1/4 (pow x 2))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/ -1/4 (pow x 2))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/ -1/4 (pow x 2))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/ -1/4 (pow x 2))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/ -1/4 (pow x 2))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/ -1/4 (pow x 2))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/ -1/4 (pow x 2))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/ -1/4 (pow x 2))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/ -1/4 (pow x 2))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/ -1/4 (pow x 2))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(+ (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 (log.f32 #s(literal -1/2 binary32)) (log.f32 x)) (.f32 (.f32 x x) #s(literal -4 binary32)))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))
(+.f32 (-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 x)) (.f32 x (.f32 x (+.f32 (.f32 x (.f32 x #s(literal -8 binary32))) #s(literal -4 binary32)))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))
(+.f32 (-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 x)) (.f32 (.f32 x x) (+.f32 (.f32 x (.f32 x (+.f32 #s(literal -8 binary32) (.f32 x (.f32 x #s(literal -64/3 binary32)))))) #s(literal -4 binary32))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 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 -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 (.f32 x x) (.f32 x x))) (+.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (log.f32 #s(literal -2 binary32)) (-.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
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(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
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eval111.0ms (0.8%)

Compiler: Compiled 34741 to 3593 computations (89.7% saved)

prune190.0ms (1.3%)

Pruning

18 alts after pruning (11 fresh and 7 done)

	Pruned	Kept	Total
New	1105	11	1116
Fresh	0	0	0
Picked	2	3	5
Done	1	4	5
Total	1108	18	1126

Accuracy

100.0%

Counts

1126 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.3%	(/.f32 (/.f32 #s(literal -1/4 binary32) x) x)
▶	5.3%	(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal -1/4 binary32) x)))
✓	5.3%	(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
✓	96.7%	(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
	5.3%	(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))
	53.9%	(neg.f32 (log.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 x x))) (neg.f32 x)) (.f32 x #s(literal 2 binary32))) (.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/8 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x)))) (.f32 x (.f32 x x))))) (-.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 x x))) (neg.f32 x)) (.f32 x #s(literal 2 binary32)))))))
	15.5%	(log.f32 (/.f32 (+.f32 (.f32 (+.f32 (.f32 (.f32 x (.f32 x x)) #s(literal 8 binary32)) (/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x)))) (.f32 x (.f32 x x))) (.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (.f32 (.f32 x #s(literal 2 binary32)) (-.f32 (.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x)))) (+.f32 #s(literal -1/8 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x)))))) (.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (.f32 (.f32 x #s(literal 2 binary32)) (-.f32 (.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x)))) (.f32 x (.f32 x x)))))
	31.9%	(log.f32 (/.f32 (+.f32 (.f32 (.f32 x (.f32 x x)) #s(literal 8 binary32)) (/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x)))) (+.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (/.f32 (-.f32 (.f32 (/.f32 #s(literal -1/2 binary32) x) #s(literal -1/2 binary32)) (.f32 #s(literal -1/2 binary32) (.f32 x #s(literal 2 binary32)))) x))))
▶	53.7%	(log.f32 (/.f32 (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)) x))
	53.9%	(log.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (-.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 x x))) (neg.f32 x)) (.f32 x #s(literal 2 binary32)))) (/.f32 (.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/8 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x)))) (.f32 x (.f32 x x)))) (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/8 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x)))) (.f32 x (.f32 x x))))) (-.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 x x))) (neg.f32 x)) (.f32 x #s(literal 2 binary32))))))
▶	53.9%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/8 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x)))) (.f32 x (.f32 x x)))) (-.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (/.f32 (.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x)))) (.f32 (.f32 x (.f32 x x)) (.f32 x (*.f32 x x)))))))))
▶	99.2%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x))))))
✓	98.6%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 x #s(literal 2 binary32))))
✓	99.1%	(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x)))
✓	55.3%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	55.4%	(log.f32 (+.f32 x (sqrt.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))))
✓	97.3%	(log.f32 (+.f32 x x))
	44.2%	(log.f32 x)

Compiler

Compiled 841 to 394 computations (53.2% saved)

simplify485.0ms (3.3%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

6804×	`accelerator-lowering-fma.f32`
6804×	`accelerator-lowering-fma.f64`
4450×	`-lowering-.f32`
4450×	`-lowering-.f64`
3638×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	502
1	109	474
2	267	468
3	765	468
4	2783	468
0	8234	445

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(log (+ (/ -1/2 x) (+ (* x 2) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x x))))))
(log.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x #s(literal 2 binary32)))))
(+ (/ -1/2 x) (+ (* x 2) (/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x x)))))
(+.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x #s(literal 2 binary32))))
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
-1/2
#s(literal -1/2 binary32)
x
(+ (* x 2) (/ (+ -1/8 (/ -1/16 (* 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)
(*.f32 x #s(literal 2 binary32))
2
#s(literal 2 binary32)
(/ (+ -1/8 (/ -1/16 (* x x))) (* x (* x x)))
(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (*.f32 x x)))
(+ -1/8 (/ -1/16 (* x x)))
(+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x)))
-1/8
#s(literal -1/8 binary32)
(/ -1/16 (* x x))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
-1/16
#s(literal -1/16 binary32)
(* x x)
(*.f32 x x)
(* x (* x x))
(.f32 x (.f32 x x))
(/ (/ -1/4 x) x)
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
(/ -1/4 x)
(/.f32 #s(literal -1/4 binary32) x)
-1/4
#s(literal -1/4 binary32)
x
(/ 1 (/ x (/ -1/4 x)))
(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
1
#s(literal 1 binary32)
(/ x (/ -1/4 x))
(/.f32 x (/.f32 #s(literal -1/4 binary32) x))
x
(/ -1/4 x)
(/.f32 #s(literal -1/4 binary32) x)
-1/4
#s(literal -1/4 binary32)
(log (/ (+ (* x (* x 2)) -1/2) x))
(log.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (.f32 x (.f32 x #s(literal 2 binary32)))) x))
(/ (+ (* x (* x 2)) -1/2) x)
(/.f32 (+.f32 #s(literal -1/2 binary32) (.f32 x (.f32 x #s(literal 2 binary32)))) x)
(+ (* x (* x 2)) -1/2)
(+.f32 #s(literal -1/2 binary32) (.f32 x (.f32 x #s(literal 2 binary32))))
(* x (* x 2))
(.f32 x (.f32 x #s(literal 2 binary32)))
x
(* x 2)
(*.f32 x #s(literal 2 binary32))
2
#s(literal 2 binary32)
-1/2
#s(literal -1/2 binary32)
(log (+ (/ -1/2 x) (/ 1 (/ (- (* x 2) (/ (+ -1/8 (* -1 (/ 1/16 (* x x)))) (* x (* x x)))) (- (* (* x x) 4) (/ (* (+ 1/8 (/ 1/16 (* x x))) (+ 1/8 (/ 1/16 (* x x)))) (* (* x (* x x)) (* x (* x x)))))))))
(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (/.f32 (+.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x)))))))) (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (.f32 x (.f32 x x)))))))
(+ (/ -1/2 x) (/ 1 (/ (- (* x 2) (/ (+ -1/8 (* -1 (/ 1/16 (* x x)))) (* x (* x x)))) (- (* (* x x) 4) (/ (* (+ 1/8 (/ 1/16 (* x x))) (+ 1/8 (/ 1/16 (* x x)))) (* (* x (* x x)) (* x (* x x))))))))
(+.f32 (/.f32 #s(literal -1/2 binary32) x) (/.f32 (+.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x)))))))) (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (.f32 x (.f32 x x))))))
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
-1/2
#s(literal -1/2 binary32)
x
(/ 1 (/ (- (* x 2) (/ (+ -1/8 (* -1 (/ 1/16 (* x x)))) (* x (* x x)))) (- (* (* x x) 4) (/ (* (+ 1/8 (/ 1/16 (* x x))) (+ 1/8 (/ 1/16 (* x x)))) (* (* x (* x x)) (* x (* x x)))))))
(/.f32 (+.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x)))))))) (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (.f32 x (.f32 x x)))))
1
#s(literal 1 binary32)
(/ (- (* x 2) (/ (+ -1/8 (* -1 (/ 1/16 (* x x)))) (* x (* x x)))) (- (* (* x x) 4) (/ (* (+ 1/8 (/ 1/16 (* x x))) (+ 1/8 (/ 1/16 (* x x)))) (* (* x (* x x)) (* x (* x x))))))
(/.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (.f32 x (.f32 x x)))) (+.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x)))))))))
(- (* x 2) (/ (+ -1/8 (* -1 (/ 1/16 (* x x)))) (* x (* x x))))
(+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (.f32 x (.f32 x x))))
(* x 2)
(*.f32 x #s(literal 2 binary32))
2
#s(literal 2 binary32)
(/ (+ -1/8 (* -1 (/ 1/16 (* x x)))) (* x (* x x)))
(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (*.f32 x x)))
(+ -1/8 (* -1 (/ 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 (/ 1/16 (* x x)))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
-1
#s(literal -1 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))
(.f32 x (.f32 x x))
(- (* (* x x) 4) (/ (* (+ 1/8 (/ 1/16 (* x x))) (+ 1/8 (/ 1/16 (* x x)))) (* (* x (* x x)) (* x (* x x)))))
(+.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x))))))))
(* (* x x) 4)
(.f32 (.f32 x x) #s(literal 4 binary32))
4
#s(literal 4 binary32)
(/ (* (+ 1/8 (/ 1/16 (* x x))) (+ 1/8 (/ 1/16 (* x x)))) (* (* x (* x x)) (* x (* x x))))
(/.f32 (.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (.f32 x (.f32 x x)))) (.f32 x (*.f32 x x)))
(* (+ 1/8 (/ 1/16 (* x x))) (+ 1/8 (/ 1/16 (* x x))))
(+.f32 #s(literal 1/64 binary32) (.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/4 binary32))))
(+ 1/8 (/ 1/16 (* x x)))
(+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32))
1/8
#s(literal 1/8 binary32)
(* (* x (* x x)) (* x (* x x)))
(.f32 x (.f32 x (.f32 x (.f32 x (*.f32 x x)))))

localize222.0ms (1.5%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.8%	(/.f32 (.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x)))) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))))
✓	accuracy	97.8%	(/.f32 (+.f32 #s(literal -1/8 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x)))) (.f32 x (.f32 x x)))
✓	accuracy	97.6%	(/.f32 #s(literal 1/16 binary32) (*.f32 x x))
✓	accuracy	58.1%	(/.f32 (-.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/8 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x)))) (.f32 x (.f32 x x)))) (-.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (/.f32 (.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x)))) (.f32 (.f32 x (.f32 x x)) (.f32 x (*.f32 x x))))))
✓	accuracy	100.0%	(*.f32 x #s(literal 2 binary32))
✓	accuracy	100.0%	(+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32))
✓	accuracy	99.6%	(log.f32 (/.f32 (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)) x))
✓	accuracy	58.8%	(/.f32 (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)) x)
✓	accuracy	100.0%	(/.f32 #s(literal -1/4 binary32) x)
✓	accuracy	99.6%	(/.f32 x (/.f32 #s(literal -1/4 binary32) x))
✓	accuracy	96.5%	(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal -1/4 binary32) x)))
✓	accuracy	100.0%	(/.f32 #s(literal -1/4 binary32) x)
✓	accuracy	99.7%	(/.f32 (/.f32 #s(literal -1/4 binary32) x) x)
✓	accuracy	99.7%	(.f32 x (.f32 x x))
✓	accuracy	99.6%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x))))))
✓	accuracy	97.8%	(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (*.f32 x x)))
✓	accuracy	97.6%	(/.f32 #s(literal -1/16 binary32) (*.f32 x x))

Results

115.0ms

256×

valid

Compiler

Compiled 574 to 45 computations (92.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-div: 30.0ms (44.6% of total)

ival-mult: 13.0ms (19.3% of total)

ival-add: 11.0ms (16.4% of total)

ival-log: 8.0ms (11.9% of total)

ival-sub: 2.0ms (3% of total)

const: 2.0ms (3% of total)

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

series36.0ms (0.2%)

Counts

23 → 276

Calls

Call 1

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

Outputs
#<alt (+ (log -1/16) (* -5 (log x)))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))>
#<alt (/ -1/2 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 (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 x)>
#<alt (/ -1/4 x)>
#<alt (/ -1/4 x)>
#<alt (/ -1/4 x)>
#<alt (/ -1/4 x)>
#<alt (/ -1/4 x)>
#<alt (/ -1/4 x)>
#<alt (/ -1/4 x)>
#<alt (/ -1/4 x)>
#<alt (/ -1/4 x)>
#<alt (/ -1/4 x)>
#<alt (/ -1/4 x)>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (* -4 (pow x 2))>
#<alt (* -4 (pow x 2))>
#<alt (* -4 (pow x 2))>
#<alt (* -4 (pow x 2))>
#<alt (* -4 (pow x 2))>
#<alt (* -4 (pow x 2))>
#<alt (* -4 (pow x 2))>
#<alt (* -4 (pow x 2))>
#<alt (* -4 (pow x 2))>
#<alt (* -4 (pow x 2))>
#<alt (* -4 (pow x 2))>
#<alt (* -4 (pow x 2))>
#<alt (+ (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>
#<alt (- (* 2 (pow x 2)) 1/2)>
#<alt (- (* 2 (pow x 2)) 1/2)>
#<alt (- (* 2 (pow x 2)) 1/2)>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (+ (log -1/16) (* -5 (log x)))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))>
#<alt (/ -1/16 (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 (* -16 (pow x 5))>
#<alt (* (pow x 5) (- (* 32 (pow x 2)) 16))>
#<alt (* (pow x 5) (- (* (pow x 2) (+ 32 (* -64 (pow x 2)))) 16))>
#<alt (* (pow x 5) (- (* (pow x 2) (+ 32 (* (pow x 2) (- (* -384 (pow x 2)) 64)))) 16))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 1/32 (/ 1 (pow x 4)))) x)>
#<alt (/ (+ 1/2 (+ (/ 1/64 (pow x 6)) (* 1/32 (/ 1 (pow x 4))))) x)>
#<alt (/ (+ 1/2 (+ (/ 1/64 (pow x 6)) (+ (* 1/32 (/ 1 (pow x 4))) (* 1/512 (/ 1 (pow x 8)))))) x)>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 1/32 (/ 1 (pow x 4)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/32 (* 1/64 (/ 1 (pow x 2)))) (pow x 4))) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/64 (* 1/512 (/ 1 (pow x 2)))) (pow x 6))) (+ 1/2 (* 1/32 (/ 1 (pow x 4))))) 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 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ -1/8 (pow x 3))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (/ -1/8 (pow x 3))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (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 (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (/ 1/16 (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 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ -1/8 (pow x 3))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (/ -1/8 (pow x 3))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (/ 1/256 (pow x 10))>
#<alt (/ (+ 1/256 (* 1/64 (pow x 2))) (pow x 10))>
#<alt (/ (+ 1/256 (* (pow x 2) (+ 1/64 (* 1/64 (pow x 2))))) (pow x 10))>
#<alt (/ (+ 1/256 (* (pow x 2) (+ 1/64 (* 1/64 (pow x 2))))) (pow x 10))>
#<alt (/ 1/64 (pow x 6))>
#<alt (/ (+ 1/64 (* 1/64 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (+ 1/64 (+ (/ 1/256 (pow x 4)) (* 1/64 (/ 1 (pow x 2))))) (pow x 6))>
#<alt (/ (+ 1/64 (+ (/ 1/256 (pow x 4)) (* 1/64 (/ 1 (pow x 2))))) (pow x 6))>
#<alt (/ 1/64 (pow x 6))>
#<alt (/ (+ 1/64 (* 1/64 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (+ 1/64 (+ (/ 1/256 (pow x 4)) (* 1/64 (/ 1 (pow x 2))))) (pow x 6))>
#<alt (/ (+ 1/64 (+ (/ 1/256 (pow x 4)) (* 1/64 (/ 1 (pow x 2))))) (pow x 6))>

Calls

69 calls:

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

rewrite642.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

4706×	`/-lowering-/.f32`
4706×	`/-lowering-/.f64`
3200×	`-lowering-.f32`
3200×	`-lowering-.f64`
2332×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	250
1	308	228
2	3062	228
0	8642	204

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 1120

Calls

Call 1

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

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

simplify630.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

13028×	`accelerator-lowering-fma.f32`
13028×	`accelerator-lowering-fma.f64`
4358×	`+-lowering-+.f64`
4358×	`+-lowering-+.f32`
3326×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	264	2398
1	657	2338
2	1684	2317
3	4274	2278
0	8174	2183

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

Inputs
(+ (log -1/16) (* -5 (log x)))
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))
(* 2 x)
(* x (- 2 (* 1/8 (/ 1 (pow x 4)))))
(* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(* 2 x)
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 x)
(/ -1/4 x)
(/ -1/4 x)
(/ -1/4 x)
(/ -1/4 x)
(/ -1/4 x)
(/ -1/4 x)
(/ -1/4 x)
(/ -1/4 x)
(/ -1/4 x)
(/ -1/4 x)
(/ -1/4 x)
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(+ (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
(- (* 2 (pow x 2)) 1/2)
(- (* 2 (pow x 2)) 1/2)
(- (* 2 (pow x 2)) 1/2)
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(+ (log -1/16) (* -5 (log x)))
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(/ -1/16 (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)))
(* -16 (pow x 5))
(* (pow x 5) (- (* 32 (pow x 2)) 16))
(* (pow x 5) (- (* (pow x 2) (+ 32 (* -64 (pow x 2)))) 16))
(* (pow x 5) (- (* (pow x 2) (+ 32 (* (pow x 2) (- (* -384 (pow x 2)) 64)))) 16))
(/ 1/2 x)
(/ (+ 1/2 (* 1/32 (/ 1 (pow x 4)))) x)
(/ (+ 1/2 (+ (/ 1/64 (pow x 6)) (* 1/32 (/ 1 (pow x 4))))) x)
(/ (+ 1/2 (+ (/ 1/64 (pow x 6)) (+ (* 1/32 (/ 1 (pow x 4))) (* 1/512 (/ 1 (pow x 8)))))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 1/32 (/ 1 (pow x 4)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/32 (* 1/64 (/ 1 (pow x 2)))) (pow x 4))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1/64 (* 1/512 (/ 1 (pow x 2)))) (pow x 6))) (+ 1/2 (* 1/32 (/ 1 (pow x 4))))) 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 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ -1/8 (pow x 3))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(/ -1/8 (pow x 3))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(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)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(/ 1/16 (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 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ -1/8 (pow x 3))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(/ -1/8 (pow x 3))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(/ 1/256 (pow x 10))
(/ (+ 1/256 (* 1/64 (pow x 2))) (pow x 10))
(/ (+ 1/256 (* (pow x 2) (+ 1/64 (* 1/64 (pow x 2))))) (pow x 10))
(/ (+ 1/256 (* (pow x 2) (+ 1/64 (* 1/64 (pow x 2))))) (pow x 10))
(/ 1/64 (pow x 6))
(/ (+ 1/64 (* 1/64 (/ 1 (pow x 2)))) (pow x 6))
(/ (+ 1/64 (+ (/ 1/256 (pow x 4)) (* 1/64 (/ 1 (pow x 2))))) (pow x 6))
(/ (+ 1/64 (+ (/ 1/256 (pow x 4)) (* 1/64 (/ 1 (pow x 2))))) (pow x 6))
(/ 1/64 (pow x 6))
(/ (+ 1/64 (* 1/64 (/ 1 (pow x 2)))) (pow x 6))
(/ (+ 1/64 (+ (/ 1/256 (pow x 4)) (* 1/64 (/ 1 (pow x 2))))) (pow x 6))
(/ (+ 1/64 (+ (/ 1/256 (pow x 4)) (* 1/64 (/ 1 (pow x 2))))) (pow x 6))

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

eval313.0ms (2.2%)

Compiler: Compiled 82523 to 4880 computations (94.1% saved)

prune198.0ms (1.4%)

Pruning

18 alts after pruning (7 fresh and 11 done)

	Pruned	Kept	Total
New	1627	5	1632
Fresh	4	2	6
Picked	1	4	5
Done	0	7	7
Total	1632	18	1650

Accuracy

100.0%

Counts

1650 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.7%	(pow.f32 (.f32 (/.f32 (.f32 x x) #s(literal -1/4 binary32)) (/.f32 (*.f32 x x) #s(literal -1/4 binary32))) #s(literal -1/2 binary32))
✓	5.3%	(/.f32 (/.f32 #s(literal -1/4 binary32) x) x)
✓	5.3%	(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 #s(literal -1/4 binary32) x)))
	5.3%	(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) x)) (neg.f32 x)))
✓	5.3%	(/.f32 #s(literal -1/4 binary32) (*.f32 x x))
✓	96.7%	(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
	5.3%	(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal -1/4 binary32) x))
	53.7%	(neg.f32 (log.f32 (/.f32 x (+.f32 #s(literal -1/2 binary32) (.f32 x (.f32 x #s(literal 2 binary32)))))))
	99.2%	(log.f32 (/.f32 (/.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) (+.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) (/.f32 #s(literal 1 binary32) (+.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)))))))
✓	53.7%	(log.f32 (/.f32 (+.f32 (.f32 x (.f32 x #s(literal 2 binary32))) #s(literal -1/2 binary32)) x))
	99.2%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.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))))))))
✓	99.2%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x))))))
✓	98.6%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 x #s(literal 2 binary32))))
✓	99.1%	(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x)))
✓	55.3%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	55.4%	(log.f32 (+.f32 x (sqrt.f32 (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))))
✓	97.3%	(log.f32 (+.f32 x x))
	44.2%	(log.f32 x)

Compiler

Compiled 871 to 297 computations (65.9% saved)

regimes28.0ms (0.2%)

Counts

29 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

10.0ms	x
9.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
8.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
99.2%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes7.0ms (0%)

Counts

18 → 1

Calls

Call 1

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

Outputs

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
99.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts

14 → 1

Calls

Call 1

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

5.0ms

Results

Accuracy	Segments	Branch
99.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
98.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
97.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(log.f32 x)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
44.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
5.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
5.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

22×	`+-commutative_binary32`
12×	`*-commutative_binary32`
10×	`sub-neg_binary32`
8×	`neg-sub0_binary32`
8×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	88
1	49	88
2	57	88
3	66	88
4	73	88
5	77	88
6	78	88

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness3.8s (26.2%)

Rules

14368×	`accelerator-lowering-fma.f32`
14368×	`accelerator-lowering-fma.f64`
10204×	`accelerator-lowering-fma.f32`
10204×	`accelerator-lowering-fma.f64`
8660×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	200	1891
1	518	1791
2	1397	1742
3	3617	1695
0	8362	1647
0	30	172
1	189	152
2	2008	152
0	8588	135
0	150	559
1	411	533
2	1147	526
3	3325	488
4	7968	488
0	8520	459
0	44	250
1	308	228
2	3062	228
0	8642	204
0	338	2181
1	907	1953
2	2748	1919
3	7541	1918
0	8435	1854

Stop Event

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

Compiler

Compiled 222 to 130 computations (41.4% saved)

preprocess43.0ms (0.3%)

Compiler: Compiled 224 to 104 computations (53.6% saved)

analyze0.0ms (0%)

sample511.0ms (3.5%)

preprocess794.0ms (5.5%)

explain101.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify966.0ms (6.7%)

localize33.0ms (0.2%)

series9.0ms (0.1%)

rewrite404.0ms (2.8%)

simplify497.0ms (3.4%)

eval36.0ms (0.3%)

prune87.0ms (0.6%)

simplify319.0ms (2.2%)

localize201.0ms (1.4%)

series162.0ms (1.1%)

rewrite759.0ms (5.2%)

simplify918.0ms (6.3%)

eval144.0ms (1%)

prune154.0ms (1.1%)

simplify482.0ms (3.3%)

localize135.0ms (0.9%)

series80.0ms (0.6%)

rewrite510.0ms (3.5%)

simplify447.0ms (3.1%)

eval111.0ms (0.8%)

prune190.0ms (1.3%)

simplify485.0ms (3.3%)

localize222.0ms (1.5%)

series36.0ms (0.2%)

rewrite642.0ms (4.4%)

simplify630.0ms (4.3%)

eval313.0ms (2.2%)

prune198.0ms (1.4%)

regimes28.0ms (0.2%)

regimes7.0ms (0%)

regimes5.0ms (0%)

regimes6.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes4.0ms (0%)

simplify10.0ms (0.1%)

soundness3.8s (26.2%)

preprocess43.0ms (0.3%)

end0.0ms (0%)

Profiling