Metrics for Rust f32::acosh

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

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 5 computations (16.7% saved)

sample473.0ms (5%)

Memory

30.7MiB live, 724.2MiB allocated

Samples

320.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 191.0ms

ival-acosh: 151.0ms (79.1% of total)

ival->=: 31.0ms (16.2% of total)

exact: 5.0ms (2.6% of total)

ival-assert: 3.0ms (1.6% of total)

Bogosity

preprocess713.0ms (7.5%)

Memory

10.5MiB live, 932.8MiB allocated

Algorithm

2×	egg-herbie

Rules

29 894×	`accelerator-lowering-fma.f32`
29 894×	`accelerator-lowering-fma.f64`
4 210×	`-lowering-.f32`
4 210×	`-lowering-.f64`
2 884×	`+-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 (fma.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 (1.1%)

Memory

-14.7MiB live, 232.6MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f32`	`(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))`	oflow-rescue	124	0
↳	`(*.f32 x x)`	overflow	124
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	124
`log.f32`	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`	oflow-rescue	1	0
↳	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`	overflow	1
↳	`(*.f32 x x)`	overflow	124
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	124

Confusion

	Predicted +	Predicted -
+	124	0
-	0	132

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	124	0	0
-	0	0	132

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	132
1	123
2	1

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

33.0ms

512×

valid

Compiler

Compiled 90 to 32 computations (64.4% saved)

Precisions

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

ival-log: 6.0ms (28.5% of total)

ival-sqrt: 5.0ms (23.7% of total)

ival-mult: 4.0ms (19% of total)

ival-sub: 3.0ms (14.2% of total)

ival-add: 2.0ms (9.5% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.7%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify1.1s (11.5%)

Memory

-26.2MiB live, 989.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

29 894×	`accelerator-lowering-fma.f32`
29 894×	`accelerator-lowering-fma.f64`
4 210×	`-lowering-.f32`
4 210×	`-lowering-.f64`
2 884×	`+-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 (fma.f32 x x #s(literal -1 binary32)))))
(+ x (sqrt (- (* x x) 1)))
(+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
x
(sqrt (- (* x x) 1))
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(- (* x x) 1)
(fma.f32 x x #s(literal -1 binary32))
(* x x)
(*.f32 x x)
1
#s(literal 1 binary32)

localize23.0ms (0.2%)

Memory

8.6MiB live, 47.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f32 (*.f32 x x) #s(literal 1 binary32))
✓	accuracy	99.9%	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
✓	accuracy	99.6%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	accuracy	58.3%	(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))

Samples

14.0ms

256×

valid

Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions

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

ival-sub: 2.0ms (22.4% of total)

ival-log: 2.0ms (22.4% of total)

ival-mult: 2.0ms (22.4% of total)

ival-sqrt: 2.0ms (22.4% of total)

ival-add: 1.0ms (11.2% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series5.0ms (0%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

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	@	inf	(- (* x x) 1)
0.0ms	x	@	0	(- (* x x) 1)

rewrite333.0ms (3.5%)

Memory

11.0MiB live, 480.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 994×	`accelerator-lowering-fma.f32`
4 994×	`accelerator-lowering-fma.f64`
3 230×	`-lowering-.f32`
3 230×	`-lowering-.f64`
2 612×	`/-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
(- (* x x) 1)
(log (+ x (sqrt (- (* x x) 1))))
(+ x (sqrt (- (* x x) 1)))
(sqrt (- (* x x) 1))

Outputs
(neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(exp.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))))
(exp.f32 (*.f32 (neg.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32)))
(+.f32 (*.f32 x x) #s(literal -1 binary32))
(+.f32 #s(literal -1 binary32) (*.f32 x x))
(+.f32 (+.f32 x #s(literal -1 binary32)) (*.f32 x (+.f32 x #s(literal -1 binary32))))
(+.f32 (/.f32 (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))) (fma.f32 x x (fma.f32 x (.f32 x (.f32 x x)) #s(literal 1 binary32)))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x (fma.f32 x (.f32 x (*.f32 x x)) #s(literal 1 binary32))))))
(+.f32 (.f32 (.f32 x (*.f32 x x)) (/.f32 x (fma.f32 x x #s(literal 1 binary32)))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))))
(+.f32 (.f32 (+.f32 x #s(literal 1 binary32)) x) (.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -1 binary32)))
(+.f32 (.f32 (+.f32 x #s(literal -1 binary32)) x) (.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1 binary32)))
(+.f32 (.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 (+.f32 x #s(literal -1 binary32)) x))
(+.f32 (.f32 x (+.f32 x #s(literal 1 binary32))) (.f32 #s(literal -1 binary32) (+.f32 x #s(literal 1 binary32))))
(+.f32 (*.f32 x (+.f32 x #s(literal -1 binary32))) (+.f32 x #s(literal -1 binary32)))
(fabs.f32 (fma.f32 x x #s(literal -1 binary32)))
(pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32))
(pow.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))) #s(literal 1/2 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 4 binary32))
(pow.f32 (.f32 (.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/4 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 x (.f32 x (.f32 x x)) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal -1 binary32))))) (fma.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)) #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 (fma.f32 x x #s(literal -1 binary32)))))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 x x #s(literal -1 binary32)))))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (log.f32 (fma.f32 x x #s(literal -1 binary32))))
(fma.f32 x x #s(literal -1 binary32))
(fma.f32 x (+.f32 x #s(literal 1 binary32)) (*.f32 #s(literal -1 binary32) (+.f32 x #s(literal 1 binary32))))
(fma.f32 x (+.f32 x #s(literal -1 binary32)) (+.f32 x #s(literal -1 binary32)))
(fma.f32 x (/.f32 (.f32 x (.f32 x x)) (fma.f32 x x #s(literal 1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))))
(fma.f32 (*.f32 x x) #s(literal 1 binary32) #s(literal -1 binary32))
(fma.f32 (.f32 x x) (/.f32 (.f32 x x) (fma.f32 x x #s(literal 1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))))
(fma.f32 (.f32 x x) (/.f32 (.f32 x (.f32 x (.f32 x x))) (fma.f32 x x (fma.f32 x (.f32 x (.f32 x x)) #s(literal 1 binary32)))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x (fma.f32 x (.f32 x (.f32 x x)) #s(literal 1 binary32))))))
(fma.f32 #s(literal 1 binary32) (*.f32 x x) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (+.f32 x #s(literal -1 binary32)) (*.f32 x (+.f32 x #s(literal -1 binary32))))
(fma.f32 (fma.f32 x x #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32))) (*.f32 x (+.f32 x #s(literal -1 binary32))))
(fma.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (/.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (+.f32 x #s(literal 1 binary32))) (*.f32 x (+.f32 x #s(literal -1 binary32))))
(fma.f32 (.f32 x (.f32 x x)) (/.f32 x (fma.f32 x x #s(literal 1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))))
(fma.f32 (.f32 x (.f32 x x)) (/.f32 (.f32 x (.f32 x x)) (fma.f32 x x (fma.f32 x (.f32 x (.f32 x x)) #s(literal 1 binary32)))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x (fma.f32 x (.f32 x (.f32 x x)) #s(literal 1 binary32))))))
(fma.f32 (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))) (/.f32 #s(literal 1 binary32) (fma.f32 x x (fma.f32 x (.f32 x (.f32 x x)) #s(literal 1 binary32)))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x (fma.f32 x (.f32 x (*.f32 x x)) #s(literal 1 binary32))))))
(fma.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x (fma.f32 x (.f32 x (.f32 x x)) #s(literal 1 binary32)))) (+.f32 x #s(literal 1 binary32))) (*.f32 x (+.f32 x #s(literal -1 binary32))))
(fma.f32 (.f32 x (.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))))
(fma.f32 (.f32 x (.f32 x (.f32 x x))) (/.f32 (.f32 x x) (fma.f32 x x (fma.f32 x (.f32 x (.f32 x x)) #s(literal 1 binary32)))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x (fma.f32 x (.f32 x (.f32 x x)) #s(literal 1 binary32))))))
(fma.f32 (fma.f32 (.f32 x x) (.f32 x x) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) (+.f32 x #s(literal 1 binary32))) (*.f32 x (+.f32 x #s(literal -1 binary32))))
(fma.f32 (+.f32 x #s(literal 1 binary32)) x (*.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -1 binary32)))
(fma.f32 (+.f32 x #s(literal 1 binary32)) (/.f32 (+.f32 x #s(literal -1 binary32)) (+.f32 x #s(literal 1 binary32))) (*.f32 x (+.f32 x #s(literal -1 binary32))))
(fma.f32 (+.f32 x #s(literal -1 binary32)) x (*.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1 binary32)))
(fma.f32 (+.f32 x #s(literal -1 binary32)) #s(literal 1 binary32) (*.f32 (+.f32 x #s(literal -1 binary32)) x))
(fma.f32 (+.f32 x #s(literal -1 binary32)) (/.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32))) (*.f32 x (+.f32 x #s(literal -1 binary32))))
(fma.f32 (sqrt.f32 (+.f32 x #s(literal -1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) (*.f32 x (+.f32 x #s(literal -1 binary32))))
(fma.f32 (fma.f32 x (.f32 x x) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 x x #s(literal 1 binary32)) x)) (.f32 x (+.f32 x #s(literal -1 binary32))))
(fma.f32 (/.f32 x (fma.f32 x x #s(literal 1 binary32))) (/.f32 (.f32 x (.f32 x x)) #s(literal 1 binary32)) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))))
(fma.f32 (/.f32 (.f32 x x) (fma.f32 x x #s(literal 1 binary32))) (/.f32 (.f32 x x) #s(literal 1 binary32)) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))))
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(/.f32 (.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (fma.f32 x x (-.f32 #s(literal 1 binary32) (.f32 x x)))) (*.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (-.f32 (.f32 (.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))) (.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(/.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))) (.f32 (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (.f32 (fma.f32 x x #s(literal -1 binary32)) (.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32)))))) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (-.f32 (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (.f32 x (.f32 x x))) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x))))) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (.f32 (-.f32 (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))) (.f32 (fma.f32 x x #s(literal -1 binary32)) (.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))))) #s(literal 1 binary32)) (.f32 (-.f32 (.f32 x (.f32 x x)) (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (.f32 (-.f32 (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))) (.f32 (fma.f32 x x #s(literal -1 binary32)) (.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))))) #s(literal 1 binary32)) (.f32 (fma.f32 x (.f32 x (.f32 x x)) (.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))))) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(/.f32 (.f32 (.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (fma.f32 x x (-.f32 #s(literal 1 binary32) (.f32 x x)))) #s(literal 1 binary32)) (.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 x (.f32 x x) (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) (neg.f32 (neg.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x))))) (neg.f32 (neg.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(/.f32 (neg.f32 (fma.f32 x x (-.f32 #s(literal -1 binary32) (*.f32 x x)))) (neg.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)))
(/.f32 (-.f32 (.f32 (.f32 (/.f32 (.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (/.f32 (.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (/.f32 (.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (.f32 (.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) (fma.f32 (/.f32 (.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (/.f32 (.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (fma.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (.f32 (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (/.f32 (.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))) (fma.f32 x (/.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(/.f32 (.f32 (fma.f32 x (.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 1 binary32)) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))) (.f32 (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (.f32 (fma.f32 x x #s(literal -1 binary32)) (.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32)))))) (/.f32 #s(literal 1 binary32) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))))) (fma.f32 (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (-.f32 (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (.f32 x (.f32 x x))) (.f32 (.f32 x x) (.f32 x (.f32 x (*.f32 x x))))))
(/.f32 (.f32 (-.f32 (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))) (.f32 (fma.f32 x x #s(literal -1 binary32)) (.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))))) (-.f32 (.f32 x (.f32 x x)) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(/.f32 (.f32 (-.f32 (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))) (.f32 (fma.f32 x x #s(literal -1 binary32)) (.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (fma.f32 x (.f32 x (.f32 x x)) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))))))
(/.f32 (.f32 (.f32 (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (fma.f32 x x (fma.f32 x x #s(literal -1 binary32))))
(*.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(*.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (/.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(.f32 (fma.f32 x (.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))))
(.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))) (.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))))))
(*.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))) (/.f32 (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))))
(.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (.f32 x x))) (/.f32 #s(literal 1 binary32) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(.f32 (neg.f32 (fma.f32 x (.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))))))
(.f32 (neg.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (.f32 x x)))) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x (.f32 x x) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(.f32 (/.f32 #s(literal 1 binary32) (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (fma.f32 x x (-.f32 #s(literal 1 binary32) (.f32 x x))))
(.f32 (fma.f32 x x (-.f32 #s(literal -1 binary32) (.f32 x x))) (/.f32 #s(literal 1 binary32) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)))
(.f32 (/.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (.f32 x x))) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(.f32 (/.f32 (fma.f32 x (.f32 x x) (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (fma.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x)))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (.f32 (fma.f32 x x #s(literal -1 binary32)) (.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)))))) (fma.f32 (+.f32 #s(literal -1 binary32) (.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (-.f32 (+.f32 #s(literal -1 binary32) (.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (.f32 x x)) (.f32 x (.f32 x (*.f32 x x)))))
(.f32 (/.f32 (fma.f32 x (.f32 x x) (.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) (.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (fma.f32 x x #s(literal -1 binary32))) (-.f32 (.f32 x x) (+.f32 #s(literal -1 binary32) (.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))) (-.f32 (.f32 x x) (+.f32 #s(literal -1 binary32) (.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))))
(.f32 (/.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) (.f32 x x))) (-.f32 (.f32 x (.f32 x x)) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))) (fma.f32 x x (fma.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (fma.f32 x x #s(literal -1 binary32)))))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 x x #s(literal -1 binary32)))))
(exp.f32 (.f32 (.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1 binary32)))
(exp.f32 (.f32 (.f32 #s(literal 2 binary32) (log.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/4 binary32)))
(exp.f32 (.f32 (.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
(exp.f32 (-.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) (*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 x x #s(literal -1 binary32))))))
(fabs.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/2 binary32))
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 1 binary32))
(pow.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))) #s(literal 1/4 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) #s(literal -1/2 binary32))
(pow.f32 (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) #s(literal 2 binary32))
(pow.f32 (.f32 (.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32)))) #s(literal 1/8 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (sqrt.f32 (fma.f32 x x (fma.f32 x (.f32 x (.f32 x x)) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)) #s(literal -1 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (.f32 x x) (.f32 x x) #s(literal -1 binary32)))) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (fma.f32 x x #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 x x (fma.f32 x (.f32 x (.f32 x x)) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)) #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (.f32 x x) (.f32 x x) #s(literal -1 binary32)))))
(/.f32 (fma.f32 x x #s(literal -1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (sqrt.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)) #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x (fma.f32 x (.f32 x (.f32 x x)) #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)) #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x (.f32 x (.f32 x x)) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal -1 binary32)))))))
(/.f32 (sqrt.f32 (fma.f32 (.f32 x x) (.f32 x x) #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (neg.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)) #s(literal -1 binary32)))) (sqrt.f32 (neg.f32 (fma.f32 x x (fma.f32 x (.f32 x (.f32 x x)) #s(literal 1 binary32))))))
(/.f32 (sqrt.f32 (neg.f32 (fma.f32 (.f32 x x) (.f32 x x) #s(literal -1 binary32)))) (sqrt.f32 (neg.f32 (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (neg.f32 (sqrt.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)) #s(literal -1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x x (fma.f32 x (.f32 x (.f32 x x)) #s(literal 1 binary32))))))
(/.f32 (neg.f32 (sqrt.f32 (fma.f32 (.f32 x x) (.f32 x x) #s(literal -1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)) #s(literal -1 binary32))))) (exp.f32 (.f32 #s(literal 1/2 binary32) (log1p.f32 (fma.f32 x x (.f32 x (.f32 x (*.f32 x x))))))))
(/.f32 (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 (.f32 x x) (.f32 x x) #s(literal -1 binary32))))) (exp.f32 (.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x x)))))
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(*.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (+.f32 x #s(literal -1 binary32))) (sqrt.f32 (+.f32 x #s(literal 1 binary32))))
(.f32 (sqrt.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x (fma.f32 x (.f32 x (*.f32 x x)) #s(literal 1 binary32))))))
(.f32 (sqrt.f32 (fma.f32 (.f32 x x) (*.f32 x x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))

simplify321.0ms (3.4%)

Memory

9.1MiB live, 559.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10 204×	`accelerator-lowering-fma.f32`
10 204×	`accelerator-lowering-fma.f64`
3 650×	`-lowering-.f32`
3 650×	`-lowering-.f64`
2 854×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	559
1	411	533
2	1143	526
3	3327	488
4	7966	488
0	8526	459

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval41.0ms (0.4%)

Memory: -6.3MiB live, 107.8MiB allocated
Compiler: Compiled 10 598 to 1 538 computations (85.5% saved)

prune76.0ms (0.8%)

Memory

29.4MiB live, 141.6MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	363	5	368
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	364	5	369

Accuracy

100.0%

Counts

369 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.0%	(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
▶	54.7%	(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 1 binary32))))
▶	98.8%	(log.f32 (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)))
▶	54.7%	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
▶	97.6%	(log.f32 (+.f32 x x))

Compiler

Compiled 84 to 60 computations (28.6% saved)

simplify567.0ms (6%)

Memory

-21.0MiB live, 871.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f32 x)
✓	cost-diff	0	(log.f32 #s(literal 2 binary32))
✓	cost-diff	0	(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
✓	cost-diff	128	(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 1 binary32))))
✓	cost-diff	288	(log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 1 binary32)))
✓	cost-diff	352	(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 1 binary32))
✓	cost-diff	0	(fma.f32 x x #s(literal -1 binary32))
✓	cost-diff	0	(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
✓	cost-diff	0	(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
✓	cost-diff	0	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) 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	0	(fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x))
✓	cost-diff	0	(log.f32 (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)))

Rules

26 458×	`accelerator-lowering-fma.f32`
26 458×	`accelerator-lowering-fma.f64`
4 076×	`-lowering-.f32`
4 076×	`-lowering-.f64`
2 882×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	132
1	40	131
2	64	131
3	88	131
4	145	131
5	214	131
6	357	131
7	635	131
8	2180	131
9	3361	131
10	4724	131
11	5480	131
12	5886	131
13	6050	131
14	6144	131
15	6485	131
16	7588	131
0	8002	118

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize119.0ms (1.2%)

Memory

-2.6MiB live, 151.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f32 x)
✓	accuracy	100.0%	(log.f32 #s(literal 2 binary32))
✓	accuracy	99.0%	(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
✓	accuracy	99.9%	(log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 1 binary32)))
✓	accuracy	99.9%	(+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
✓	accuracy	99.7%	(/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
✓	accuracy	58.3%	(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
✓	accuracy	100.0%	(fma.f32 x x #s(literal -1 binary32))
✓	accuracy	99.9%	(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
✓	accuracy	99.6%	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
✓	accuracy	58.3%	(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
✓	accuracy	100.0%	(+.f32 x x)
✓	accuracy	99.6%	(log.f32 (+.f32 x x))
✓	accuracy	100.0%	(fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x))
✓	accuracy	100.0%	(/.f32 #s(literal -1/2 binary32) x)
✓	accuracy	99.6%	(log.f32 (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)))

Samples

44.0ms

256×

valid

Compiler

Compiled 130 to 26 computations (80% saved)

Precisions

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

ival-log: 15.0ms (45% of total)

ival-add: 6.0ms (18% of total)

ival-div: 5.0ms (15% of total)

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

ival-sqrt: 2.0ms (6% of total)

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

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series354.0ms (3.7%)

Memory

21.1MiB live, 214.8MiB allocated

Counts

17 → 192

Calls

Call 1

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

Outputs
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (/ -1/2 x)>
#<alt (/ -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 (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))))>
#<alt (/ 1 (sqrt -1))>
#<alt (+ (* -1 (/ x (pow (sqrt -1) 2))) (/ 1 (sqrt -1)))>
#<alt (+ (* x (- (* 1/2 (/ x (pow (sqrt -1) 3))) (/ 1 (pow (sqrt -1) 2)))) (/ 1 (sqrt -1)))>
#<alt (+ (* x (- (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (pow (sqrt -1) 2)))) (/ 1 (sqrt -1)))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)>
#<alt (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x)>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))>
#<alt (log (/ 1 (sqrt -1)))>
#<alt (+ (log (/ 1 (sqrt -1))) (* -1 (/ x (sqrt -1))))>
#<alt (+ (log (/ 1 (sqrt -1))) (* x (- (* 1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))>
#<alt (+ (log (/ 1 (sqrt -1))) (* x (- (* (pow x 2) (+ (* -3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))>
#<alt (+ (log 1/2) (log (/ 1 x)))>
#<alt (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (+ (log 1/2) (+ (log (/ 1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (+ (log 1/2) (+ (log (/ 1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (* -1 (log (/ 1 (sqrt -1))))>
#<alt (- (/ x (sqrt -1)) (log (/ 1 (sqrt -1))))>
#<alt (- (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))) (log (/ 1 (sqrt -1))))>
#<alt (- (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))) (log (/ 1 (sqrt -1))))>
#<alt (* -1 (+ (log 1/2) (log (/ 1 x))))>
#<alt (* -1 (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (- (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))) (+ (log 1/2) (log (/ 1 x))))>
#<alt (- (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))) (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1 (+ (log -2) (* -1 (log (/ -1 x)))))>
#<alt (- (* 1/4 (/ 1 (pow x 2))) (+ (log -2) (* -1 (log (/ -1 x)))))>
#<alt (- (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))) (+ (log -2) (* -1 (log (/ -1 x)))))>
#<alt (- (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) (+ (log -2) (* -1 (log (/ -1 x)))))>
#<alt (/ 1 (sqrt -1))>
#<alt (+ (* -1 (/ x (pow (sqrt -1) 2))) (/ 1 (sqrt -1)))>
#<alt (+ (* x (- (* 1/2 (/ x (pow (sqrt -1) 3))) (/ 1 (pow (sqrt -1) 2)))) (/ 1 (sqrt -1)))>
#<alt (+ (* x (- (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (pow (sqrt -1) 2)))) (/ 1 (sqrt -1)))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)>
#<alt (/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x)>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))>
#<alt (+ (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 (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))>

Calls

48 calls:

Time	Variable		Point	Expression
88.0ms	x	@	-inf	(+ (log 2) (log x))
78.0ms	x	@	-inf	(log (+ x x))
68.0ms	x	@	0	(log (+ x x))
62.0ms	x	@	inf	(+ (log 2) (log x))
41.0ms	x	@	0	(+ (log 2) (log x))

rewrite319.0ms (3.4%)

Memory

-27.0MiB live, 185.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

906×	`accelerator-lowering-fma.f32`
906×	`accelerator-lowering-fma.f64`
504×	`-lowering-.f32`
504×	`-lowering-.f64`
488×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	121
1	132	100
0	1206	91

Stop Event

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

Counts

17 → 436

Calls

Call 1

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

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

simplify571.0ms (6%)

Memory

24.8MiB live, 338.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6 306×	`accelerator-lowering-fma.f32`
6 306×	`accelerator-lowering-fma.f64`
3 328×	`-lowering-.f32`
3 328×	`-lowering-.f64`
3 134×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	285	2068
1	794	1904
2	2283	1882
3	7999	1882
0	8003	1825

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/2 x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(/ -1/2 x)
(/ -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 (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))))
(/ 1 (sqrt -1))
(+ (* -1 (/ x (pow (sqrt -1) 2))) (/ 1 (sqrt -1)))
(+ (* x (- (* 1/2 (/ x (pow (sqrt -1) 3))) (/ 1 (pow (sqrt -1) 2)))) (/ 1 (sqrt -1)))
(+ (* x (- (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (pow (sqrt -1) 2)))) (/ 1 (sqrt -1)))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x)
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(log (/ 1 (sqrt -1)))
(+ (log (/ 1 (sqrt -1))) (* -1 (/ x (sqrt -1))))
(+ (log (/ 1 (sqrt -1))) (* x (- (* 1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (/ 1 (sqrt -1))) (* x (- (* (pow x 2) (+ (* -3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(+ (log 1/2) (log (/ 1 x)))
(+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log 1/2) (+ (log (/ 1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log 1/2) (+ (log (/ 1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(* -1 (log (/ 1 (sqrt -1))))
(- (/ x (sqrt -1)) (log (/ 1 (sqrt -1))))
(- (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))) (log (/ 1 (sqrt -1))))
(- (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))) (log (/ 1 (sqrt -1))))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(* -1 (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))
(- (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))) (+ (log 1/2) (log (/ 1 x))))
(- (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))) (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))
(* -1 (+ (log -2) (* -1 (log (/ -1 x)))))
(- (* 1/4 (/ 1 (pow x 2))) (+ (log -2) (* -1 (log (/ -1 x)))))
(- (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))) (+ (log -2) (* -1 (log (/ -1 x)))))
(- (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) (+ (log -2) (* -1 (log (/ -1 x)))))
(/ 1 (sqrt -1))
(+ (* -1 (/ x (pow (sqrt -1) 2))) (/ 1 (sqrt -1)))
(+ (* x (- (* 1/2 (/ x (pow (sqrt -1) 3))) (/ 1 (pow (sqrt -1) 2)))) (/ 1 (sqrt -1)))
(+ (* x (- (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (pow (sqrt -1) 2)))) (/ 1 (sqrt -1)))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x)
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(+ (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))))
(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))

Outputs
(+ (log -1/2) (* -1 (log x)))
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 x))
(+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))
(fma.f32 x (*.f32 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))))
(fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal -8 binary32) #s(literal -4 binary32))) (-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 x)))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))
(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal -64/3 binary32)) #s(literal -8 binary32)) #s(literal -4 binary32)) (-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 x)))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 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 (log.f32 #s(literal 2 binary32)) (+.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 #s(literal -1/4 binary32) (*.f32 x x)))))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -2 binary32)) (neg.f32 (log.f32 (neg.f32 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (neg.f32 (log.f32 (neg.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 (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1/32 binary32) (.f32 x x))) (.f32 x x)) (-.f32 (log.f32 #s(literal -2 binary32)) (neg.f32 (log.f32 (neg.f32 x)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (/.f32 (+.f32 #s(literal -1/32 binary32) (/.f32 #s(literal -1/192 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x))) (+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (neg.f32 (log.f32 (neg.f32 x)))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/.f32 (fma.f32 x (*.f32 x #s(literal 2 binary32)) #s(literal -1/2 binary32)) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/.f32 (fma.f32 x (*.f32 x #s(literal 2 binary32)) #s(literal -1/2 binary32)) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/.f32 (fma.f32 x (*.f32 x #s(literal 2 binary32)) #s(literal -1/2 binary32)) x)
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
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(-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))
(* -1 (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))
(+.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))))
(- (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))) (+ (log 1/2) (log (/ 1 x))))
(+.f32 (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -3/32 binary32) (.f32 x x))) (.f32 x x)) (-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))))
(- (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))) (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))
(+.f32 (/.f32 (+.f32 #s(literal -3/32 binary32) (/.f32 #s(literal -5/96 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x))) (+.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))))
(* -1 (+ (log -2) (* -1 (log (/ -1 x)))))
(-.f32 (neg.f32 (log.f32 (neg.f32 x))) (log.f32 #s(literal -2 binary32)))
(- (* 1/4 (/ 1 (pow x 2))) (+ (log -2) (* -1 (log (/ -1 x)))))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (-.f32 (neg.f32 (log.f32 (neg.f32 x))) (log.f32 #s(literal -2 binary32))))
(- (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))) (+ (log -2) (* -1 (log (/ -1 x)))))
(+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 (.f32 x x) (.f32 x x))) (-.f32 (neg.f32 (log.f32 (neg.f32 x))) (log.f32 #s(literal -2 binary32)))))
(- (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) (+ (log -2) (* -1 (log (/ -1 x)))))
(+.f32 (neg.f32 (log.f32 (neg.f32 x))) (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 (.f32 x x) (.f32 x x))) (-.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32)))) (log.f32 #s(literal -2 binary32)))))
(/ 1 (sqrt -1))
(/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))
(+ (* -1 (/ x (pow (sqrt -1) 2))) (/ 1 (sqrt -1)))
(+.f32 x (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))
(+ (* x (- (* 1/2 (/ x (pow (sqrt -1) 3))) (/ 1 (pow (sqrt -1) 2)))) (/ 1 (sqrt -1)))
(fma.f32 x (fma.f32 #s(literal -1/2 binary32) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))
(+ (* x (- (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (pow (sqrt -1) 2)))) (/ 1 (sqrt -1)))
(fma.f32 x (fma.f32 x (fma.f32 (*.f32 x x) (/.f32 #s(literal -1/8 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) x)
(/.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) (/.f32 #s(literal 1/16 binary32) (.f32 (.f32 x x) (.f32 x x)))) x)
(/ (+ 1/2 (+ (/ 1/16 (pow x 4)) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))))) x)
(/.f32 (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 (.f32 x x) (.f32 x x))) (/.f32 #s(literal 5/128 binary32) (pow.f32 x #s(literal 6 binary32)))))) 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 (neg.f32 (+.f32 #s(literal -2 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 x x) (*.f32 x x)))))))
(* -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 1/8 binary32) (.f32 (.f32 x x) (.f32 x x))) (+.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))))) (neg.f32 x))
(+ (log 2) (log x))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (log x))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (log x))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (log x))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 #s(literal -1 binary32))) (neg.f32 (log.f32 (neg.f32 x))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 #s(literal -1 binary32))) (neg.f32 (log.f32 (neg.f32 x))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 #s(literal -1 binary32))) (neg.f32 (log.f32 (neg.f32 x))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 #s(literal -1 binary32))) (neg.f32 (log.f32 (neg.f32 x))))
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 x))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ x (sqrt -1))
(+.f32 x (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(fma.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) #s(literal 1 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))))))))
(fma.f32 x (fma.f32 x (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/8 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 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 #s(literal 2 binary32) (+.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (.f32 x x) (.f32 x x))) (/.f32 #s(literal -1/2 binary32) (.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 (.f32 x x) (*.f32 x x)))) x)

eval105.0ms (1.1%)

Memory: -22.4MiB live, 93.7MiB allocated
Compiler: Compiled 10 649 to 1 556 computations (85.4% saved)

prune122.0ms (1.3%)

Memory

2.9MiB live, 128.1MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	680	2	682
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	682	5	687

Accuracy

100.0%

Counts

687 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.0%	(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)))
▶	97.9%	(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
✓	98.8%	(log.f32 (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)))
✓	54.7%	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
✓	97.6%	(log.f32 (+.f32 x x))

Compiler

Compiled 40 to 29 computations (27.5% saved)

simplify5.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Rules

20×	`+-lowering-+.f64`
20×	`+-lowering-+.f32`
12×	`--lowering--.f32`
12×	`sub-neg`
12×	`--lowering--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	62
1	21	62
2	25	62
3	28	62
4	32	62
5	39	62
6	46	62
0	46	62

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize101.0ms (1.1%)

Memory

-16.1MiB live, 59.1MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)))
✓	accuracy	99.9%	(log.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x))
✓	accuracy	99.9%	(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)
✓	accuracy	98.0%	(/.f32 #s(literal 1/8 binary32) (*.f32 x x))
✓	accuracy	100.0%	(/.f32 #s(literal 1/2 binary32) x)
✓	accuracy	100.0%	(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
✓	accuracy	99.9%	(log.f32 (/.f32 #s(literal 1/2 binary32) x))

Samples

87.0ms

256×

valid

Compiler

Compiled 64 to 14 computations (78.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-neg: 66.0ms (83.6% of total)

ival-div: 5.0ms (6.3% of total)

ival-log: 5.0ms (6.3% of total)

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

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

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series54.0ms (0.6%)

Memory

5.3MiB live, 46.4MiB allocated

Counts

8 → 96

Calls

Call 1

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

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

Calls

24 calls:

Time	Variable		Point	Expression
32.0ms	x	@	-inf	(neg (log (/ 1/2 x)))
13.0ms	x	@	0	(neg (log (/ 1/2 x)))
6.0ms	x	@	inf	(neg (log (/ 1/2 x)))
1.0ms	x	@	0	(neg (log (/ (+ 1/2 (/ 1/8 (* x x))) x)))
0.0ms	x	@	inf	(neg (log (/ (+ 1/2 (/ 1/8 (* x x))) x)))

rewrite307.0ms (3.2%)

Memory

9.0MiB live, 482.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 270×	`-lowering-.f32`
3 270×	`-lowering-.f64`
2 426×	`accelerator-lowering-fma.f32`
2 426×	`accelerator-lowering-fma.f64`
2 320×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	54
1	68	52
2	478	52
3	4977	52
0	8153	48

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 575

Calls

Call 1

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

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

simplify509.0ms (5.4%)

Memory

-17.0MiB live, 714.2MiB allocated

Algorithm

1×	egg-herbie

Rules

13 250×	`accelerator-lowering-fma.f32`
13 250×	`accelerator-lowering-fma.f64`
2 864×	`-lowering-.f32`
2 864×	`-lowering-.f64`
2 200×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	821
1	255	797
2	655	785
3	1853	785
4	4220	785
5	5174	785
6	6548	764
0	8024	742

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval62.0ms (0.6%)

Memory: 20.7MiB live, 172.8MiB allocated
Compiler: Compiled 13 862 to 1 986 computations (85.7% saved)

prune87.0ms (0.9%)

Memory

-1.3MiB live, 277.9MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	670	1	671
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	670	6	676

Accuracy

100.0%

Counts

676 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(neg.f32 (log.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/512 binary32) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))))) x) (+.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1/64 binary32) (.f32 x x)) #s(literal 1/16 binary32)) (*.f32 x x))))))
✓	99.0%	(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)))
✓	97.9%	(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
✓	98.8%	(log.f32 (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)))
✓	54.7%	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
✓	97.6%	(log.f32 (+.f32 x x))

Compiler

Compiled 74 to 49 computations (33.8% saved)

simplify271.0ms (2.8%)

Memory

19.7MiB live, 419.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/512 binary32) (.f32 (.f32 x x) (.f32 x (.f32 x (*.f32 x x)))))) x)
✓	cost-diff	0	(log.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/512 binary32) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))))) x) (+.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1/64 binary32) (.f32 x x)) #s(literal 1/16 binary32)) (*.f32 x x)))))
✓	cost-diff	0	(neg.f32 (log.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/512 binary32) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))))) x) (+.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1/64 binary32) (.f32 x x)) #s(literal 1/16 binary32)) (*.f32 x x))))))
✓	cost-diff	416	(/.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/512 binary32) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))))) x) (+.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1/64 binary32) (.f32 x x)) #s(literal 1/16 binary32)) (*.f32 x x))))

Rules

6 088×	`accelerator-lowering-fma.f32`
6 088×	`accelerator-lowering-fma.f64`
2 180×	`-lowering-.f32`
2 180×	`-lowering-.f64`
1 504×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	177
1	49	147
2	94	147
3	141	147
4	202	147
5	338	147
6	557	141
7	990	141
8	1832	141
9	3969	141
10	5581	141
11	6482	141
12	7225	141
13	7770	141
14	7883	141
15	7887	141
16	7887	141
0	8245	136

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(neg (log (/ (/ (+ 1/8 (/ 1/512 (* (* x x) (* x (* x (* x x)))))) x) (+ 1/4 (/ (- (/ 1/64 (* x x)) 1/16) (* x x))))))
(log (/ (/ (+ 1/8 (/ 1/512 (* (* x x) (* x (* x (* x x)))))) x) (+ 1/4 (/ (- (/ 1/64 (* x x)) 1/16) (* x x)))))
(/ (/ (+ 1/8 (/ 1/512 (* (* x x) (* x (* x (* x x)))))) x) (+ 1/4 (/ (- (/ 1/64 (* x x)) 1/16) (* x x))))
(/ (+ 1/8 (/ 1/512 (* (* x x) (* x (* x (* x x)))))) x)
(+ 1/8 (/ 1/512 (* (* x x) (* x (* x (* x x))))))
1/8
(/ 1/512 (* (* x x) (* x (* x (* x x)))))
1/512
(* (* x x) (* x (* x (* x x))))
(* x x)
x
(* x (* x (* x x)))
(* x (* x x))
(+ 1/4 (/ (- (/ 1/64 (* x x)) 1/16) (* x x)))
1/4
(/ (- (/ 1/64 (* x x)) 1/16) (* x x))
(- (/ 1/64 (* x x)) 1/16)
(/ 1/64 (* x x))
1/64
1/16

Outputs
(neg (log (/ (/ (+ 1/8 (/ 1/512 (* (* x x) (* x (* x (* x x)))))) x) (+ 1/4 (/ (- (/ 1/64 (* x x)) 1/16) (* x x))))))
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/512 binary32) (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x))))))) (fma.f32 x #s(literal -1/4 binary32) (/.f32 (-.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1/64 binary32) (.f32 x x))) x)))))
(log (/ (/ (+ 1/8 (/ 1/512 (* (* x x) (* x (* x (* x x)))))) x) (+ 1/4 (/ (- (/ 1/64 (* x x)) 1/16) (* x x)))))
(log.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/512 binary32) (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x))))))) (fma.f32 x #s(literal -1/4 binary32) (/.f32 (-.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1/64 binary32) (.f32 x x))) x))))
(/ (/ (+ 1/8 (/ 1/512 (* (* x x) (* x (* x (* x x)))))) x) (+ 1/4 (/ (- (/ 1/64 (* x x)) 1/16) (* x x))))
(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/512 binary32) (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x))))))) (fma.f32 x #s(literal -1/4 binary32) (/.f32 (-.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1/64 binary32) (.f32 x x))) x)))
(/ (+ 1/8 (/ 1/512 (* (* x x) (* x (* x (* x x)))))) x)
(/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/512 binary32) (.f32 x (.f32 x (.f32 x (.f32 x (*.f32 x x))))))) x)
(+ 1/8 (/ 1/512 (* (* x x) (* x (* x (* x x))))))
(+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/512 binary32) (.f32 x (.f32 x (.f32 x (.f32 x (*.f32 x x)))))))
1/8
#s(literal 1/8 binary32)
(/ 1/512 (* (* x x) (* x (* x (* x x)))))
(/.f32 #s(literal 1/512 binary32) (.f32 x (.f32 x (.f32 x (.f32 x (*.f32 x x))))))
1/512
#s(literal 1/512 binary32)
(* (* x x) (* x (* x (* x x))))
(.f32 x (.f32 x (.f32 x (.f32 x (*.f32 x x)))))
(* x x)
(*.f32 x x)
x
(* x (* x (* x x)))
(.f32 x (.f32 x (*.f32 x x)))
(* x (* x x))
(.f32 x (.f32 x x))
(+ 1/4 (/ (- (/ 1/64 (* x x)) 1/16) (* x x)))
(+.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/64 binary32) (.f32 x x)) #s(literal -1/16 binary32)) (.f32 x x)))
1/4
#s(literal 1/4 binary32)
(/ (- (/ 1/64 (* x x)) 1/16) (* x x))
(/.f32 (+.f32 (/.f32 #s(literal 1/64 binary32) (.f32 x x)) #s(literal -1/16 binary32)) (.f32 x x))
(- (/ 1/64 (* x x)) 1/16)
(+.f32 (/.f32 #s(literal 1/64 binary32) (*.f32 x x)) #s(literal -1/16 binary32))
(/ 1/64 (* x x))
(/.f32 #s(literal 1/64 binary32) (*.f32 x x))
1/64
#s(literal 1/64 binary32)
1/16
#s(literal 1/16 binary32)

localize62.0ms (0.7%)

Memory

-10.6MiB live, 146.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(.f32 x (.f32 x x))
✓	accuracy	99.6%	(/.f32 #s(literal 1/512 binary32) (.f32 (.f32 x x) (.f32 x (.f32 x (*.f32 x x)))))
✓	accuracy	98.6%	(/.f32 #s(literal 1/64 binary32) (*.f32 x x))
✓	accuracy	98.2%	(/.f32 (-.f32 (/.f32 #s(literal 1/64 binary32) (.f32 x x)) #s(literal 1/16 binary32)) (.f32 x x))

Samples

32.0ms

256×

valid

Compiler

Compiled 211 to 22 computations (89.6% saved)

Precisions

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

ival-div: 8.0ms (36.5% of total)

ival-mult: 6.0ms (27.4% of total)

ival-log: 3.0ms (13.7% of total)

ival-add: 2.0ms (9.1% of total)

ival-sub: 2.0ms (9.1% of total)

ival-neg: 1.0ms (4.6% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory

-21.5MiB live, 20.4MiB allocated

Counts

8 → 96

Calls

Call 1

Inputs
#<alt (/ (/ (+ 1/8 (/ 1/512 (* (* x x) (* x (* x (* x x)))))) x) (+ 1/4 (/ (- (/ 1/64 (* x x)) 1/16) (* x x))))>
#<alt (neg (log (/ (/ (+ 1/8 (/ 1/512 (* (* x x) (* x (* x (* x x)))))) x) (+ 1/4 (/ (- (/ 1/64 (* x x)) 1/16) (* x x))))))>
#<alt (log (/ (/ (+ 1/8 (/ 1/512 (* (* x x) (* x (* x (* x x)))))) x) (+ 1/4 (/ (- (/ 1/64 (* x x)) 1/16) (* x x)))))>
#<alt (/ (+ 1/8 (/ 1/512 (* (* x x) (* x (* x (* x x)))))) x)>
#<alt (/ (- (/ 1/64 (* x x)) 1/16) (* x x))>
#<alt (/ 1/64 (* x x))>
#<alt (/ 1/512 (* (* x x) (* x (* x (* x x)))))>
#<alt (* x (* x x))>

Outputs
#<alt (/ 1/8 (pow x 3))>
#<alt (/ (+ 1/8 (* 1/2 (pow x 2))) (pow x 3))>
#<alt (/ (+ 1/8 (* 1/2 (pow x 2))) (pow x 3))>
#<alt (/ (+ 1/8 (* 1/2 (pow x 2))) (pow x 3))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (* -1 (+ (log 1/8) (* -3 (log x))))>
#<alt (- (* -4 (pow x 2)) (+ (log 1/8) (* -3 (log x))))>
#<alt (- (* (pow x 2) (- (* 8 (pow x 2)) 4)) (+ (log 1/8) (* -3 (log x))))>
#<alt (- (* (pow x 2) (- (* (pow x 2) (+ 8 (* -64/3 (pow x 2)))) 4)) (+ (log 1/8) (* -3 (log x))))>
#<alt (* -1 (+ (log 1/2) (log (/ 1 x))))>
#<alt (* -1 (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (- (/ 1/32 (pow x 4)) (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (- (/ 1/32 (pow x 4)) (+ (log 1/2) (+ (log (/ 1 x)) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))))>
#<alt (* -1 (+ (log -1/2) (log (/ -1 x))))>
#<alt (* -1 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (- (/ 1/32 (pow x 4)) (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (- (/ 1/32 (pow x 4)) (+ (log -1/2) (+ (log (/ -1 x)) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))))>
#<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 (* -8 (pow x 2))))))>
#<alt (+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 64/3 (pow x 2)) 8))))))>
#<alt (+ (log 1/2) (log (/ 1 x)))>
#<alt (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4)))>
#<alt (- (+ (log 1/2) (+ (log (/ 1 x)) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4)))>
#<alt (+ (log -1/2) (log (/ -1 x)))>
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4)))>
#<alt (- (+ (log -1/2) (+ (log (/ -1 x)) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4)))>
#<alt (/ 1/512 (pow x 7))>
#<alt (/ (+ 1/512 (* 1/8 (pow x 6))) (pow x 7))>
#<alt (/ (+ 1/512 (* 1/8 (pow x 6))) (pow x 7))>
#<alt (/ (+ 1/512 (* 1/8 (pow x 6))) (pow x 7))>
#<alt (/ 1/8 x)>
#<alt (/ (+ 1/8 (* 1/512 (/ 1 (pow x 6)))) x)>
#<alt (/ (+ 1/8 (* 1/512 (/ 1 (pow x 6)))) x)>
#<alt (/ (+ 1/8 (* 1/512 (/ 1 (pow x 6)))) x)>
#<alt (/ 1/8 x)>
#<alt (/ (+ 1/8 (* 1/512 (/ 1 (pow x 6)))) x)>
#<alt (/ (+ 1/8 (* 1/512 (/ 1 (pow x 6)))) x)>
#<alt (/ (+ 1/8 (* 1/512 (/ 1 (pow x 6)))) x)>
#<alt (/ 1/64 (pow x 4))>
#<alt (/ (+ 1/64 (* -1/16 (pow x 2))) (pow x 4))>
#<alt (/ (+ 1/64 (* -1/16 (pow x 2))) (pow x 4))>
#<alt (/ (+ 1/64 (* -1/16 (pow x 2))) (pow x 4))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ (- (* 1/64 (/ 1 (pow x 2))) 1/16) (pow x 2))>
#<alt (/ (- (* 1/64 (/ 1 (pow x 2))) 1/16) (pow x 2))>
#<alt (/ (- (* 1/64 (/ 1 (pow x 2))) 1/16) (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ (- (* 1/64 (/ 1 (pow x 2))) 1/16) (pow x 2))>
#<alt (/ (- (* 1/64 (/ 1 (pow x 2))) 1/16) (pow x 2))>
#<alt (/ (- (* 1/64 (/ 1 (pow x 2))) 1/16) (pow x 2))>
#<alt (/ 1/64 (pow x 2))>
#<alt (/ 1/64 (pow x 2))>
#<alt (/ 1/64 (pow x 2))>
#<alt (/ 1/64 (pow x 2))>
#<alt (/ 1/64 (pow x 2))>
#<alt (/ 1/64 (pow x 2))>
#<alt (/ 1/64 (pow x 2))>
#<alt (/ 1/64 (pow x 2))>
#<alt (/ 1/64 (pow x 2))>
#<alt (/ 1/64 (pow x 2))>
#<alt (/ 1/64 (pow x 2))>
#<alt (/ 1/64 (pow x 2))>
#<alt (/ 1/512 (pow x 6))>
#<alt (/ 1/512 (pow x 6))>
#<alt (/ 1/512 (pow x 6))>
#<alt (/ 1/512 (pow x 6))>
#<alt (/ 1/512 (pow x 6))>
#<alt (/ 1/512 (pow x 6))>
#<alt (/ 1/512 (pow x 6))>
#<alt (/ 1/512 (pow x 6))>
#<alt (/ 1/512 (pow x 6))>
#<alt (/ 1/512 (pow x 6))>
#<alt (/ 1/512 (pow x 6))>
#<alt (/ 1/512 (pow x 6))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(/ 1/64 (* x x))
1.0ms	x	@	0	(/ (/ (+ 1/8 (/ 1/512 (* (* x x) (* x (* x (* x x)))))) x) (+ 1/4 (/ (- (/ 1/64 (* x x)) 1/16) (* x x))))
1.0ms	x	@	inf	(/ (/ (+ 1/8 (/ 1/512 (* (* x x) (* x (* x (* x x)))))) x) (+ 1/4 (/ (- (/ 1/64 (* x x)) 1/16) (* x x))))
1.0ms	x	@	0	(/ (+ 1/8 (/ 1/512 (* (* x x) (* x (* x (* x x)))))) x)
0.0ms	x	@	0	(* x (* x x))

rewrite376.0ms (4%)

Memory

28.2MiB live, 621.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 286×	`/-lowering-/.f32`
5 286×	`/-lowering-/.f64`
4 682×	`accelerator-lowering-fma.f32`
4 682×	`accelerator-lowering-fma.f64`
3 984×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	125
1	130	104
2	1145	104
0	8489	93

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 406

Calls

Call 1

Inputs
(/ (/ (+ 1/8 (/ 1/512 (* (* x x) (* x (* x (* x x)))))) x) (+ 1/4 (/ (- (/ 1/64 (* x x)) 1/16) (* x x))))
(neg (log (/ (/ (+ 1/8 (/ 1/512 (* (* x x) (* x (* x (* x x)))))) x) (+ 1/4 (/ (- (/ 1/64 (* x x)) 1/16) (* x x))))))
(log (/ (/ (+ 1/8 (/ 1/512 (* (* x x) (* x (* x (* x x)))))) x) (+ 1/4 (/ (- (/ 1/64 (* x x)) 1/16) (* x x)))))
(/ (+ 1/8 (/ 1/512 (* (* x x) (* x (* x (* x x)))))) x)
(/ (- (/ 1/64 (* x x)) 1/16) (* x x))
(/ 1/64 (* x x))
(/ 1/512 (* (* x x) (* x (* x (* x x)))))
(* x (* x x))

Outputs
(neg.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/512 binary32) (.f32 x (.f32 x (.f32 (.f32 x x) (.f32 x x)))))) (.f32 x (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 #s(literal -1/64 binary32) (.f32 x x)) #s(literal 1/16 binary32)) (.f32 x x)))))))
(exp.f32 (.f32 (log.f32 (/.f32 (.f32 x (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 #s(literal -1/64 binary32) (.f32 x x)) #s(literal 1/16 binary32)) (.f32 x x)))) (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/512 binary32) (.f32 x (.f32 x (.f32 (.f32 x x) (*.f32 x x)))))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/512 binary32) (.f32 x (.f32 x (.f32 (.f32 x x) (.f32 x x)))))) (.f32 x (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 #s(literal -1/64 binary32) (.f32 x x)) #s(literal 1/16 binary32)) (.f32 x x))))) #s(literal 1 binary32))
(pow.f32 (/.f32 (.f32 x (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 #s(literal -1/64 binary32) (.f32 x x)) #s(literal 1/16 binary32)) (.f32 x x)))) (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/512 binary32) (.f32 x (.f32 x (.f32 (.f32 x x) (.f32 x x))))))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (neg.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/512 binary32) (.f32 x (.f32 x (.f32 (.f32 x x) (.f32 x x)))))) (.f32 x (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 #s(literal -1/64 binary32) (.f32 x x)) #s(literal 1/16 binary32)) (.f32 x x)))))))
(-.f32 (/.f32 (/.f32 #s(literal 1/64 binary32) (-.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/512 binary32) (.f32 x (.f32 x (.f32 (.f32 x x) (.f32 x x))))))) (.f32 x (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 #s(literal -1/64 binary32) (.f32 x x)) #s(literal 1/16 binary32)) (.f32 x x))))) (/.f32 (/.f32 (/.f32 #s(literal 1/262144 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (.f32 x x) (.f32 x x))))) (-.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/512 binary32) (.f32 x (.f32 x (.f32 (.f32 x x) (.f32 x x))))))) (.f32 x (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 #s(literal -1/64 binary32) (.f32 x x)) #s(literal 1/16 binary32)) (*.f32 x x))))))
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(/.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4096 binary32) (.f32 (.f32 x x) (.f32 x x))) #s(literal -1/256 binary32)) (.f32 x x))) (neg.f32 (-.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/64 binary32) (*.f32 x x)))))
(/.f32 (+.f32 (/.f32 #s(literal 1/262144 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (.f32 x x) (.f32 x x))))) (pow.f32 (neg.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x))) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1/64 binary32) (.f32 (.f32 x x) (.f32 x x))) (/.f32 #s(literal 1/64 binary32) (.f32 (.f32 x x) (.f32 x x))) (-.f32 (.f32 (neg.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (neg.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)))) (.f32 (/.f32 #s(literal 1/64 binary32) (.f32 (.f32 x x) (.f32 x x))) (neg.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)))))))
(/.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/512 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (.f32 x x) #s(literal 512 binary32)))) #s(literal 1/4096 binary32)) (.f32 x (.f32 x (.f32 (.f32 x x) (.f32 x x)))))) (neg.f32 (fma.f32 (/.f32 #s(literal 1/64 binary32) (.f32 (.f32 x x) (.f32 x x))) (/.f32 #s(literal 1/64 binary32) (.f32 (.f32 x x) (.f32 x x))) (fma.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) (/.f32 #s(literal 1/16 binary32) (.f32 x x)) (/.f32 (/.f32 #s(literal 1/64 binary32) (.f32 (.f32 x x) (.f32 x x))) (.f32 (.f32 x x) #s(literal 16 binary32)))))))
(/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/64 binary32) (.f32 (.f32 x x) (.f32 x x))) (.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 64 binary32))))) (.f32 (neg.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (neg.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x))))) (-.f32 (/.f32 #s(literal 1/64 binary32) (.f32 (.f32 x x) (.f32 x x))) (neg.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)))))
(.f32 (-.f32 #s(literal -1/16 binary32) (/.f32 #s(literal -1/64 binary32) (.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 x x)))
(.f32 (/.f32 (-.f32 #s(literal -1/16 binary32) (/.f32 #s(literal -1/64 binary32) (.f32 x x))) (*.f32 x x)) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1/16 binary32) (/.f32 #s(literal -1/64 binary32) (.f32 x x))) (*.f32 x x)))
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(.f32 (+.f32 (/.f32 #s(literal 1/262144 binary32) (.f32 x (.f32 x (.f32 (.f32 x x) (.f32 x x))))) #s(literal -1/4096 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (+.f32 (/.f32 #s(literal 1/4096 binary32) (.f32 (.f32 x x) (.f32 x x))) (+.f32 #s(literal 1/256 binary32) (/.f32 #s(literal 1/1024 binary32) (.f32 x x)))) (.f32 x x))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) (-.f32 #s(literal -1/16 binary32) (/.f32 #s(literal -1/64 binary32) (*.f32 x x))))
(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (-.f32 #s(literal -1/16 binary32) (/.f32 #s(literal -1/64 binary32) (.f32 x x))) x))
(.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal -1/64 binary32) (.f32 x x)) #s(literal 1/16 binary32)) (*.f32 x x)))
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(.f32 (+.f32 (/.f32 #s(literal 1/4096 binary32) (.f32 (.f32 x x) (.f32 x x))) #s(literal -1/256 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (-.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/64 binary32) (*.f32 x x))))))
(.f32 (+.f32 (/.f32 #s(literal 1/4096 binary32) (.f32 (.f32 x x) (.f32 x x))) #s(literal -1/256 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/64 binary32) (.f32 x x))) (*.f32 x x))))
(.f32 (/.f32 (-.f32 #s(literal -1/16 binary32) (/.f32 #s(literal -1/64 binary32) (.f32 x x))) x) (/.f32 #s(literal 1 binary32) x))
(.f32 (fma.f32 (/.f32 #s(literal 1/64 binary32) (.f32 x x)) (.f32 x x) (neg.f32 (.f32 (.f32 x x) #s(literal 1/16 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 x x))))
(.f32 (neg.f32 (/.f32 (-.f32 #s(literal -1/16 binary32) (/.f32 #s(literal -1/64 binary32) (.f32 x x))) x)) (/.f32 #s(literal -1 binary32) x))
(.f32 (/.f32 #s(literal -1 binary32) x) (/.f32 (-.f32 #s(literal -1/16 binary32) (/.f32 #s(literal -1/64 binary32) (.f32 x x))) (neg.f32 x)))
(.f32 (fma.f32 (/.f32 #s(literal 1/64 binary32) (.f32 (.f32 x x) (.f32 x x))) (/.f32 #s(literal 1/64 binary32) (.f32 (.f32 x x) (.f32 x x))) (neg.f32 (/.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) (.f32 (.f32 x x) #s(literal 16 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/64 binary32) (.f32 (.f32 x x) (.f32 x x))) (/.f32 #s(literal 1/16 binary32) (.f32 x x)))))
(.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/262144 binary32) (.f32 x (.f32 x (.f32 (.f32 x x) (.f32 x x))))) #s(literal -1/4096 binary32)) (.f32 x x)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/4096 binary32) (.f32 (.f32 x x) (.f32 x x))) (+.f32 #s(literal 1/256 binary32) (/.f32 #s(literal 1/1024 binary32) (*.f32 x x))))))
(.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4096 binary32) (.f32 (.f32 x x) (.f32 x x))) #s(literal -1/256 binary32)) (.f32 x x)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/64 binary32) (.f32 x x)))))
(.f32 (pow.f32 (/.f32 (.f32 x x) (+.f32 (/.f32 #s(literal 1/262144 binary32) (.f32 x (.f32 x (.f32 (.f32 x x) (.f32 x x))))) #s(literal -1/4096 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/4096 binary32) (.f32 (.f32 x x) (.f32 x x))) (+.f32 #s(literal 1/256 binary32) (/.f32 #s(literal 1/1024 binary32) (*.f32 x x))))))
(.f32 (pow.f32 (/.f32 (.f32 x x) (+.f32 (/.f32 #s(literal 1/4096 binary32) (.f32 (.f32 x x) (.f32 x x))) #s(literal -1/256 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/64 binary32) (.f32 x x)))))
(.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/262144 binary32) (.f32 x (.f32 x (.f32 (.f32 x x) (.f32 x x))))) #s(literal -1/4096 binary32)) x) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/4096 binary32) (.f32 (.f32 x x) (.f32 x x))) (+.f32 #s(literal 1/256 binary32) (/.f32 #s(literal 1/1024 binary32) (.f32 x x))))) x))
(.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4096 binary32) (.f32 (.f32 x x) (.f32 x x))) #s(literal -1/256 binary32)) x) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/16 binary32) (/.f32 #s(literal -1/64 binary32) (*.f32 x x)))) x))
(neg.f32 (/.f32 #s(literal -1/64 binary32) (*.f32 x x)))
(exp.f32 (.f32 (log.f32 (.f32 (*.f32 x x) #s(literal 64 binary32))) #s(literal -1 binary32)))
(pow.f32 (.f32 (.f32 x x) #s(literal 64 binary32)) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal -1/64 binary32) (*.f32 x x)))
(/.f32 #s(literal 1/64 binary32) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) #s(literal 64 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (.f32 (.f32 x x) #s(literal 64 binary32)))))
(/.f32 #s(literal -1/64 binary32) (neg.f32 (*.f32 x x)))
(/.f32 #s(literal -1 binary32) (neg.f32 (.f32 (.f32 x x) #s(literal 64 binary32))))
(/.f32 (/.f32 #s(literal 1/64 binary32) x) x)
(/.f32 (neg.f32 (/.f32 #s(literal 1/64 binary32) x)) (neg.f32 x))
(/.f32 (neg.f32 (neg.f32 (/.f32 #s(literal 1/64 binary32) x))) x)
(.f32 #s(literal 1/64 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x)))
(.f32 (/.f32 #s(literal 1/64 binary32) (.f32 x x)) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/64 binary32) (.f32 x x)))
(.f32 #s(literal -1/64 binary32) (/.f32 #s(literal -1 binary32) (.f32 x x)))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) #s(literal 1/64 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/64 binary32) x))
(.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/64 binary32) (.f32 x x)))
(.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (.f32 (*.f32 x x) #s(literal 64 binary32)))))
(*.f32 (/.f32 #s(literal 1/64 binary32) x) (/.f32 #s(literal 1 binary32) x))
(*.f32 (neg.f32 (/.f32 #s(literal 1/64 binary32) x)) (/.f32 #s(literal -1 binary32) x))
(neg.f32 (/.f32 #s(literal -1/512 binary32) (.f32 x (.f32 x (.f32 (.f32 x x) (*.f32 x x))))))
(exp.f32 (.f32 (log.f32 (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (*.f32 x x) #s(literal 512 binary32)))) #s(literal -1 binary32)))
(pow.f32 (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (.f32 x x) #s(literal 512 binary32))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal -1/512 binary32) (.f32 x (.f32 x (.f32 (.f32 x x) (*.f32 x x))))))
(/.f32 #s(literal 1/512 binary32) (.f32 x (.f32 x (.f32 (.f32 x x) (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (.f32 x x) #s(literal 512 binary32))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (.f32 x x) #s(literal 512 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (.f32 (.f32 x x) (.f32 x x))) (/.f32 #s(literal 1/512 binary32) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (.f32 x x)) (/.f32 #s(literal 1/512 binary32) (.f32 x (.f32 x x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x x) (/.f32 #s(literal 1/512 binary32) (.f32 (.f32 x x) (.f32 x x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (.f32 x x)) (/.f32 (/.f32 #s(literal 1/512 binary32) (*.f32 x x)) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x x) (/.f32 (/.f32 #s(literal 1/512 binary32) (.f32 x x)) (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (/.f32 #s(literal 1/512 binary32) (.f32 x x)) (.f32 x (*.f32 x x)))))
(/.f32 #s(literal -1/512 binary32) (.f32 x (neg.f32 (.f32 x (.f32 (.f32 x x) (*.f32 x x))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (.f32 x x) #s(literal 512 binary32)))))
(/.f32 (/.f32 #s(literal 1/512 binary32) (.f32 x x)) (.f32 (.f32 x x) (.f32 x x)))
(/.f32 (neg.f32 (/.f32 #s(literal 1/512 binary32) (.f32 x x))) (neg.f32 (.f32 (.f32 x x) (.f32 x x))))
(/.f32 (/.f32 #s(literal 1/512 binary32) x) (.f32 x (.f32 (.f32 x x) (.f32 x x))))
(/.f32 (/.f32 #s(literal 1/512 binary32) (.f32 x (.f32 x x))) (.f32 x (.f32 x x)))
(/.f32 (/.f32 #s(literal 1/512 binary32) (.f32 (.f32 x x) (.f32 x x))) (.f32 x x))
(/.f32 (/.f32 (/.f32 #s(literal 1/512 binary32) (.f32 x x)) x) (.f32 x (*.f32 x x)))
(/.f32 (/.f32 (/.f32 #s(literal 1/512 binary32) (.f32 x x)) (.f32 x x)) (*.f32 x x))
(/.f32 (/.f32 (/.f32 #s(literal 1/512 binary32) (.f32 x x)) (.f32 x (*.f32 x x))) x)
(/.f32 (neg.f32 (neg.f32 (/.f32 #s(literal 1/512 binary32) (.f32 x x)))) (neg.f32 (neg.f32 (.f32 (.f32 x x) (.f32 x x)))))
(/.f32 (neg.f32 (/.f32 #s(literal 1/512 binary32) x)) (neg.f32 (.f32 x (.f32 (.f32 x x) (.f32 x x)))))
(/.f32 (neg.f32 (/.f32 #s(literal 1/512 binary32) (.f32 x (.f32 x x)))) (neg.f32 (.f32 x (.f32 x x))))
(/.f32 (neg.f32 (/.f32 #s(literal 1/512 binary32) (.f32 (.f32 x x) (.f32 x x)))) (neg.f32 (.f32 x x)))
(/.f32 (neg.f32 (/.f32 (/.f32 #s(literal 1/512 binary32) (.f32 x x)) x)) (neg.f32 (.f32 x (*.f32 x x))))
(/.f32 (neg.f32 (/.f32 (/.f32 #s(literal 1/512 binary32) (.f32 x x)) (.f32 x x))) (neg.f32 (*.f32 x x)))
(/.f32 (neg.f32 (/.f32 (/.f32 #s(literal 1/512 binary32) (.f32 x x)) (.f32 x (*.f32 x x)))) (neg.f32 x))
(.f32 #s(literal 1/512 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 (.f32 x x) (.f32 x x))))))
(.f32 (/.f32 #s(literal 1/512 binary32) (.f32 x (.f32 x (.f32 (.f32 x x) (.f32 x x))))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/512 binary32) (.f32 x (.f32 x (.f32 (.f32 x x) (.f32 x x))))))
(.f32 #s(literal -1/512 binary32) (/.f32 #s(literal -1 binary32) (.f32 x (.f32 x (.f32 (.f32 x x) (.f32 x x))))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 (.f32 x x) (.f32 x x))))) #s(literal 1/512 binary32))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) (pow.f32 (.f32 (.f32 (.f32 x x) (.f32 x x)) #s(literal 512 binary32)) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (.f32 (.f32 x (.f32 (.f32 x x) (.f32 x x))) #s(literal 512 binary32)) #s(literal -1 binary32)))
(.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/512 binary32) (.f32 x (.f32 x (.f32 (.f32 x x) (.f32 x x))))))
(.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (*.f32 x x) #s(literal 512 binary32))))))
(.f32 (/.f32 #s(literal 1/512 binary32) (.f32 x x)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (*.f32 x x))))
(.f32 (neg.f32 (/.f32 #s(literal 1/512 binary32) (.f32 x x))) (/.f32 #s(literal 1 binary32) (neg.f32 (.f32 (.f32 x x) (*.f32 x x)))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 x x))) (/.f32 #s(literal 1/512 binary32) (*.f32 x x)))
(.f32 (/.f32 #s(literal 1/512 binary32) x) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 x (.f32 x x))))
(.f32 (/.f32 #s(literal 1/512 binary32) x) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (.f32 x x) (*.f32 x x)))))
(.f32 (/.f32 #s(literal 1/512 binary32) (.f32 x (.f32 x x))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) x))
(.f32 (/.f32 #s(literal 1/512 binary32) (.f32 x (.f32 x x))) (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x))))
(.f32 (/.f32 #s(literal 1/512 binary32) (.f32 (.f32 x x) (.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 x x)))
(.f32 (/.f32 (/.f32 #s(literal 1/512 binary32) (.f32 x x)) x) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 x x))))
(.f32 (/.f32 (/.f32 #s(literal 1/512 binary32) (.f32 x x)) (.f32 x x)) (/.f32 #s(literal 1 binary32) (.f32 x x)))
(.f32 (/.f32 (/.f32 #s(literal 1/512 binary32) (.f32 x x)) (.f32 x (.f32 x x))) (/.f32 #s(literal 1 binary32) x))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 x (.f32 x x))) (pow.f32 (.f32 (.f32 x (.f32 x x)) #s(literal 512 binary32)) #s(literal -1 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)))

simplify729.0ms (7.7%)

Memory

6.4MiB live, 366.0MiB allocated

Algorithm

1×	egg-herbie

Rules

13 686×	`accelerator-lowering-fma.f32`
13 686×	`accelerator-lowering-fma.f64`
3 242×	`-lowering-.f32`
3 242×	`-lowering-.f64`
2 132×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	847
1	286	839
2	711	835
3	1967	835
4	4375	835
5	5370	835
6	6730	826
0	8070	801

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
(/ 1/8 (pow x 3))
(/ (+ 1/8 (* 1/2 (pow x 2))) (pow x 3))
(/ (+ 1/8 (* 1/2 (pow x 2))) (pow x 3))
(/ (+ 1/8 (* 1/2 (pow x 2))) (pow x 3))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(* -1 (+ (log 1/8) (* -3 (log x))))
(- (* -4 (pow x 2)) (+ (log 1/8) (* -3 (log x))))
(- (* (pow x 2) (- (* 8 (pow x 2)) 4)) (+ (log 1/8) (* -3 (log x))))
(- (* (pow x 2) (- (* (pow x 2) (+ 8 (* -64/3 (pow x 2)))) 4)) (+ (log 1/8) (* -3 (log x))))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(* -1 (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))
(- (/ 1/32 (pow x 4)) (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))
(- (/ 1/32 (pow x 4)) (+ (log 1/2) (+ (log (/ 1 x)) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))))
(* -1 (+ (log -1/2) (log (/ -1 x))))
(* -1 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))))
(- (/ 1/32 (pow x 4)) (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))))
(- (/ 1/32 (pow x 4)) (+ (log -1/2) (+ (log (/ -1 x)) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))))
(+ (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 (* -8 (pow x 2))))))
(+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 64/3 (pow x 2)) 8))))))
(+ (log 1/2) (log (/ 1 x)))
(+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4)))
(- (+ (log 1/2) (+ (log (/ 1 x)) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4)))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4)))
(- (+ (log -1/2) (+ (log (/ -1 x)) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4)))
(/ 1/512 (pow x 7))
(/ (+ 1/512 (* 1/8 (pow x 6))) (pow x 7))
(/ (+ 1/512 (* 1/8 (pow x 6))) (pow x 7))
(/ (+ 1/512 (* 1/8 (pow x 6))) (pow x 7))
(/ 1/8 x)
(/ (+ 1/8 (* 1/512 (/ 1 (pow x 6)))) x)
(/ (+ 1/8 (* 1/512 (/ 1 (pow x 6)))) x)
(/ (+ 1/8 (* 1/512 (/ 1 (pow x 6)))) x)
(/ 1/8 x)
(/ (+ 1/8 (* 1/512 (/ 1 (pow x 6)))) x)
(/ (+ 1/8 (* 1/512 (/ 1 (pow x 6)))) x)
(/ (+ 1/8 (* 1/512 (/ 1 (pow x 6)))) x)
(/ 1/64 (pow x 4))
(/ (+ 1/64 (* -1/16 (pow x 2))) (pow x 4))
(/ (+ 1/64 (* -1/16 (pow x 2))) (pow x 4))
(/ (+ 1/64 (* -1/16 (pow x 2))) (pow x 4))
(/ -1/16 (pow x 2))
(/ (- (* 1/64 (/ 1 (pow x 2))) 1/16) (pow x 2))
(/ (- (* 1/64 (/ 1 (pow x 2))) 1/16) (pow x 2))
(/ (- (* 1/64 (/ 1 (pow x 2))) 1/16) (pow x 2))
(/ -1/16 (pow x 2))
(/ (- (* 1/64 (/ 1 (pow x 2))) 1/16) (pow x 2))
(/ (- (* 1/64 (/ 1 (pow x 2))) 1/16) (pow x 2))
(/ (- (* 1/64 (/ 1 (pow x 2))) 1/16) (pow x 2))
(/ 1/64 (pow x 2))
(/ 1/64 (pow x 2))
(/ 1/64 (pow x 2))
(/ 1/64 (pow x 2))
(/ 1/64 (pow x 2))
(/ 1/64 (pow x 2))
(/ 1/64 (pow x 2))
(/ 1/64 (pow x 2))
(/ 1/64 (pow x 2))
(/ 1/64 (pow x 2))
(/ 1/64 (pow x 2))
(/ 1/64 (pow x 2))
(/ 1/512 (pow x 6))
(/ 1/512 (pow x 6))
(/ 1/512 (pow x 6))
(/ 1/512 (pow x 6))
(/ 1/512 (pow x 6))
(/ 1/512 (pow x 6))
(/ 1/512 (pow x 6))
(/ 1/512 (pow x 6))
(/ 1/512 (pow x 6))
(/ 1/512 (pow x 6))
(/ 1/512 (pow x 6))
(/ 1/512 (pow x 6))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)

Outputs
(/ 1/8 (pow x 3))
(/.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x x)))
(/ (+ 1/8 (* 1/2 (pow x 2))) (pow x 3))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 x x) #s(literal 1/8 binary32)) (.f32 x (*.f32 x x)))
(/ (+ 1/8 (* 1/2 (pow x 2))) (pow x 3))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 x x) #s(literal 1/8 binary32)) (.f32 x (*.f32 x x)))
(/ (+ 1/8 (* 1/2 (pow x 2))) (pow x 3))
(/.f32 (fma.f32 #s(literal 1/2 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 (* 1/8 (/ 1 (pow x 2)))) x)
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)
(/ 1/2 x)
(/.f32 #s(literal 1/2 binary32) x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)
(* -1 (+ (log 1/8) (* -3 (log x))))
(neg.f32 (fma.f32 #s(literal -3 binary32) (log.f32 x) (log.f32 #s(literal 1/8 binary32))))
(- (* -4 (pow x 2)) (+ (log 1/8) (* -3 (log x))))
(neg.f32 (fma.f32 x (*.f32 x #s(literal 4 binary32)) (fma.f32 #s(literal -3 binary32) (log.f32 x) (log.f32 #s(literal 1/8 binary32)))))
(- (* (pow x 2) (- (* 8 (pow x 2)) 4)) (+ (log 1/8) (* -3 (log x))))
(neg.f32 (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal -8 binary32) #s(literal 4 binary32))) (fma.f32 #s(literal -3 binary32) (log.f32 x) (log.f32 #s(literal 1/8 binary32)))))
(- (* (pow x 2) (- (* (pow x 2) (+ 8 (* -64/3 (pow x 2)))) 4)) (+ (log 1/8) (* -3 (log x))))
(-.f32 (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -64/3 binary32)) #s(literal 8 binary32)) #s(literal -4 binary32)))) (fma.f32 #s(literal -3 binary32) (log.f32 x) (log.f32 #s(literal 1/8 binary32))))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32)))
(* -1 (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))
(+.f32 (-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(- (/ 1/32 (pow x 4)) (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))))
(+.f32 (log.f32 x) (+.f32 (-.f32 (/.f32 #s(literal 1/32 binary32) (.f32 x (.f32 x (.f32 x x)))) (log.f32 #s(literal 1/2 binary32))) (/.f32 #s(literal -1/4 binary32) (.f32 x x))))
(- (/ 1/32 (pow x 4)) (+ (log 1/2) (+ (log (/ 1 x)) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))))
(+.f32 (+.f32 (-.f32 (log.f32 x) (log.f32 #s(literal 1/2 binary32))) (/.f32 #s(literal -1/4 binary32) (.f32 x x))) (+.f32 (/.f32 #s(literal 1/32 binary32) (.f32 x (.f32 x (.f32 x x)))) (/.f32 #s(literal -1/192 binary32) (.f32 x (.f32 x (.f32 x (.f32 x (*.f32 x x))))))))
(* -1 (+ (log -1/2) (log (/ -1 x))))
(-.f32 (log.f32 (neg.f32 x)) (log.f32 #s(literal -1/2 binary32)))
(* -1 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))))
(+.f32 (-.f32 (log.f32 (neg.f32 x)) (log.f32 #s(literal -1/2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(- (/ 1/32 (pow x 4)) (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))))
(+.f32 (/.f32 #s(literal 1/32 binary32) (.f32 x (.f32 x (.f32 x x)))) (+.f32 (-.f32 (log.f32 (neg.f32 x)) (log.f32 #s(literal -1/2 binary32))) (/.f32 #s(literal -1/4 binary32) (.f32 x x))))
(- (/ 1/32 (pow x 4)) (+ (log -1/2) (+ (log (/ -1 x)) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))))
(+.f32 (-.f32 (log.f32 (neg.f32 x)) (log.f32 #s(literal -1/2 binary32))) (+.f32 (/.f32 #s(literal 1/32 binary32) (.f32 x (.f32 x (.f32 x x)))) (+.f32 (/.f32 #s(literal -1/4 binary32) (.f32 x x)) (/.f32 #s(literal -1/192 binary32) (.f32 x (.f32 x (.f32 x (.f32 x (*.f32 x x)))))))))
(+ (log 1/8) (* -3 (log x)))
(fma.f32 #s(literal -3 binary32) (log.f32 x) (log.f32 #s(literal 1/8 binary32)))
(+ (log 1/8) (+ (* -3 (log x)) (* 4 (pow x 2))))
(fma.f32 x (*.f32 x #s(literal 4 binary32)) (fma.f32 #s(literal -3 binary32) (log.f32 x) (log.f32 #s(literal 1/8 binary32))))
(+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* -8 (pow x 2))))))
(fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal -8 binary32) #s(literal 4 binary32))) (fma.f32 #s(literal -3 binary32) (log.f32 x) (log.f32 #s(literal 1/8 binary32))))
(+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 64/3 (pow x 2)) 8))))))
(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 64/3 binary32)) #s(literal -8 binary32)) #s(literal 4 binary32)) (fma.f32 #s(literal -3 binary32) (log.f32 x) (log.f32 #s(literal 1/8 binary32))))
(+ (log 1/2) (log (/ 1 x)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 x))
(+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (log.f32 x)))
(- (+ (log 1/2) (+ (log (/ 1 x)) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4)))
(+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (-.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 x) (/.f32 #s(literal 1/32 binary32) (.f32 x (.f32 x (.f32 x x)))))))
(- (+ (log 1/2) (+ (log (/ 1 x)) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4)))
(+.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (log.f32 x) (-.f32 (/.f32 #s(literal -1/192 binary32) (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x)))))) (log.f32 #s(literal 1/2 binary32))))) (/.f32 #s(literal -1/32 binary32) (.f32 x (.f32 x (*.f32 x x)))))
(+ (log -1/2) (log (/ -1 x)))
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 x))))
(- (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4)))
(+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (log.f32 #s(literal -1/2 binary32)) (-.f32 (/.f32 #s(literal -1/32 binary32) (.f32 x (.f32 x (.f32 x x)))) (log.f32 (neg.f32 x)))))
(- (+ (log -1/2) (+ (log (/ -1 x)) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4)))
(+.f32 (/.f32 #s(literal 1/192 binary32) (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x)))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (+.f32 (log.f32 #s(literal -1/2 binary32)) (-.f32 (/.f32 #s(literal -1/32 binary32) (.f32 x (.f32 x (*.f32 x x)))) (log.f32 (neg.f32 x))))))
(/ 1/512 (pow x 7))
(/.f32 #s(literal 1/512 binary32) (pow.f32 x #s(literal 7 binary32)))
(/ (+ 1/512 (* 1/8 (pow x 6))) (pow x 7))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x (.f32 x (.f32 x (*.f32 x x))))) #s(literal 1/512 binary32)) (pow.f32 x #s(literal 7 binary32)))
(/ (+ 1/512 (* 1/8 (pow x 6))) (pow x 7))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x (.f32 x (.f32 x (*.f32 x x))))) #s(literal 1/512 binary32)) (pow.f32 x #s(literal 7 binary32)))
(/ (+ 1/512 (* 1/8 (pow x 6))) (pow x 7))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x (.f32 x (.f32 x (*.f32 x x))))) #s(literal 1/512 binary32)) (pow.f32 x #s(literal 7 binary32)))
(/ 1/8 x)
(/.f32 #s(literal 1/8 binary32) x)
(/ (+ 1/8 (* 1/512 (/ 1 (pow x 6)))) x)
(/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/512 binary32) (.f32 x (.f32 x (.f32 x (.f32 x (*.f32 x x))))))) x)
(/ (+ 1/8 (* 1/512 (/ 1 (pow x 6)))) x)
(/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/512 binary32) (.f32 x (.f32 x (.f32 x (.f32 x (*.f32 x x))))))) x)
(/ (+ 1/8 (* 1/512 (/ 1 (pow x 6)))) x)
(/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/512 binary32) (.f32 x (.f32 x (.f32 x (.f32 x (*.f32 x x))))))) x)
(/ 1/8 x)
(/.f32 #s(literal 1/8 binary32) x)
(/ (+ 1/8 (* 1/512 (/ 1 (pow x 6)))) x)
(/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/512 binary32) (.f32 x (.f32 x (.f32 x (.f32 x (*.f32 x x))))))) x)
(/ (+ 1/8 (* 1/512 (/ 1 (pow x 6)))) x)
(/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/512 binary32) (.f32 x (.f32 x (.f32 x (.f32 x (*.f32 x x))))))) x)
(/ (+ 1/8 (* 1/512 (/ 1 (pow x 6)))) x)
(/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/512 binary32) (.f32 x (.f32 x (.f32 x (.f32 x (*.f32 x x))))))) x)
(/ 1/64 (pow x 4))
(/.f32 #s(literal 1/64 binary32) (.f32 x (.f32 x (*.f32 x x))))
(/ (+ 1/64 (* -1/16 (pow x 2))) (pow x 4))
(/.f32 (fma.f32 x (.f32 x #s(literal -1/16 binary32)) #s(literal 1/64 binary32)) (.f32 x (.f32 x (.f32 x x))))
(/ (+ 1/64 (* -1/16 (pow x 2))) (pow x 4))
(/.f32 (fma.f32 x (.f32 x #s(literal -1/16 binary32)) #s(literal 1/64 binary32)) (.f32 x (.f32 x (.f32 x x))))
(/ (+ 1/64 (* -1/16 (pow x 2))) (pow x 4))
(/.f32 (fma.f32 x (.f32 x #s(literal -1/16 binary32)) #s(literal 1/64 binary32)) (.f32 x (.f32 x (.f32 x x))))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ (- (* 1/64 (/ 1 (pow x 2))) 1/16) (pow x 2))
(/.f32 (+.f32 #s(literal -1/16 binary32) (/.f32 #s(literal 1/64 binary32) (.f32 x x))) (.f32 x x))
(/ (- (* 1/64 (/ 1 (pow x 2))) 1/16) (pow x 2))
(/.f32 (+.f32 #s(literal -1/16 binary32) (/.f32 #s(literal 1/64 binary32) (.f32 x x))) (.f32 x x))
(/ (- (* 1/64 (/ 1 (pow x 2))) 1/16) (pow x 2))
(/.f32 (+.f32 #s(literal -1/16 binary32) (/.f32 #s(literal 1/64 binary32) (.f32 x x))) (.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ (- (* 1/64 (/ 1 (pow x 2))) 1/16) (pow x 2))
(/.f32 (+.f32 #s(literal -1/16 binary32) (/.f32 #s(literal 1/64 binary32) (.f32 x x))) (.f32 x x))
(/ (- (* 1/64 (/ 1 (pow x 2))) 1/16) (pow x 2))
(/.f32 (+.f32 #s(literal -1/16 binary32) (/.f32 #s(literal 1/64 binary32) (.f32 x x))) (.f32 x x))
(/ (- (* 1/64 (/ 1 (pow x 2))) 1/16) (pow x 2))
(/.f32 (+.f32 #s(literal -1/16 binary32) (/.f32 #s(literal 1/64 binary32) (.f32 x x))) (.f32 x x))
(/ 1/64 (pow x 2))
(/.f32 #s(literal 1/64 binary32) (*.f32 x x))
(/ 1/64 (pow x 2))
(/.f32 #s(literal 1/64 binary32) (*.f32 x x))
(/ 1/64 (pow x 2))
(/.f32 #s(literal 1/64 binary32) (*.f32 x x))
(/ 1/64 (pow x 2))
(/.f32 #s(literal 1/64 binary32) (*.f32 x x))
(/ 1/64 (pow x 2))
(/.f32 #s(literal 1/64 binary32) (*.f32 x x))
(/ 1/64 (pow x 2))
(/.f32 #s(literal 1/64 binary32) (*.f32 x x))
(/ 1/64 (pow x 2))
(/.f32 #s(literal 1/64 binary32) (*.f32 x x))
(/ 1/64 (pow x 2))
(/.f32 #s(literal 1/64 binary32) (*.f32 x x))
(/ 1/64 (pow x 2))
(/.f32 #s(literal 1/64 binary32) (*.f32 x x))
(/ 1/64 (pow x 2))
(/.f32 #s(literal 1/64 binary32) (*.f32 x x))
(/ 1/64 (pow x 2))
(/.f32 #s(literal 1/64 binary32) (*.f32 x x))
(/ 1/64 (pow x 2))
(/.f32 #s(literal 1/64 binary32) (*.f32 x x))
(/ 1/512 (pow x 6))
(/.f32 #s(literal 1/512 binary32) (.f32 x (.f32 x (.f32 x (.f32 x (*.f32 x x))))))
(/ 1/512 (pow x 6))
(/.f32 #s(literal 1/512 binary32) (.f32 x (.f32 x (.f32 x (.f32 x (*.f32 x x))))))
(/ 1/512 (pow x 6))
(/.f32 #s(literal 1/512 binary32) (.f32 x (.f32 x (.f32 x (.f32 x (*.f32 x x))))))
(/ 1/512 (pow x 6))
(/.f32 #s(literal 1/512 binary32) (.f32 x (.f32 x (.f32 x (.f32 x (*.f32 x x))))))
(/ 1/512 (pow x 6))
(/.f32 #s(literal 1/512 binary32) (.f32 x (.f32 x (.f32 x (.f32 x (*.f32 x x))))))
(/ 1/512 (pow x 6))
(/.f32 #s(literal 1/512 binary32) (.f32 x (.f32 x (.f32 x (.f32 x (*.f32 x x))))))
(/ 1/512 (pow x 6))
(/.f32 #s(literal 1/512 binary32) (.f32 x (.f32 x (.f32 x (.f32 x (*.f32 x x))))))
(/ 1/512 (pow x 6))
(/.f32 #s(literal 1/512 binary32) (.f32 x (.f32 x (.f32 x (.f32 x (*.f32 x x))))))
(/ 1/512 (pow x 6))
(/.f32 #s(literal 1/512 binary32) (.f32 x (.f32 x (.f32 x (.f32 x (*.f32 x x))))))
(/ 1/512 (pow x 6))
(/.f32 #s(literal 1/512 binary32) (.f32 x (.f32 x (.f32 x (.f32 x (*.f32 x x))))))
(/ 1/512 (pow x 6))
(/.f32 #s(literal 1/512 binary32) (.f32 x (.f32 x (.f32 x (.f32 x (*.f32 x x))))))
(/ 1/512 (pow x 6))
(/.f32 #s(literal 1/512 binary32) (.f32 x (.f32 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))

eval301.0ms (3.2%)

Memory: -2.3MiB live, 111.7MiB allocated
Compiler: Compiled 23 343 to 2 414 computations (89.7% saved)

prune230.0ms (2.4%)

Memory

-3.9MiB live, 154.3MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	501	1	502
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	502	6	508

Accuracy

100.0%

Counts

508 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) x) (+.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1/64 binary32) (.f32 x x)) #s(literal 1/16 binary32)) (.f32 x x))))))
✓	99.0%	(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)))
✓	97.9%	(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
✓	98.8%	(log.f32 (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)))
✓	54.7%	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
✓	97.6%	(log.f32 (+.f32 x x))

Compiler

Compiled 175 to 101 computations (42.3% saved)

regimes11.0ms (0.1%)

Memory

19.8MiB live, 19.8MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
(log.f32 (+.f32 x x))
(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
(log.f32 (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)))
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)))
(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 x (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) #s(literal 1 binary32))))
(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) x) (+.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1/64 binary32) (.f32 x x)) #s(literal 1/16 binary32)) (.f32 x x))))))
(neg.f32 (log.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/512 binary32) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))))) x) (+.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1/64 binary32) (.f32 x x)) #s(literal 1/16 binary32)) (*.f32 x x))))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))

Outputs

(neg.f32 (log.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/512 binary32) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))))) x) (+.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1/64 binary32) (*.f32 x x)) #s(literal 1/16 binary32)) (*.f32 x x))))))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.1%	1	`x`
99.1%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
99.1%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes36.0ms (0.4%)

Memory

-23.8MiB live, 16.8MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

29.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
3.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
3.0ms	x

Results

Accuracy	Segments	Branch
99.1%	1	`x`
99.1%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
99.1%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

15.5MiB live, 15.5MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes47.0ms (0.5%)

Memory

-24.0MiB live, 13.7MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

42.0ms	x
2.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
2.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
98.8%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes5.0ms (0%)

Memory

9.7MiB live, 9.7MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
1.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
1.0ms	x

Results

Accuracy	Segments	Branch
97.9%	1	`x`
97.9%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
97.9%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes4.0ms (0%)

Memory

8.6MiB live, 8.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(log.f32 (+.f32 x x))

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

Calls

3 calls:

1.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
1.0ms	x
1.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))

Results

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

Compiler

Compiled 21 to 14 computations (33.3% saved)

simplify9.0ms (0.1%)

Memory

14.2MiB live, 14.2MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative_binary32`
16×	`*-commutative_binary32`
12×	`sub-neg_binary32`
10×	`neg-sub0_binary32`
10×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	79
1	58	79
2	69	79
3	75	79
4	76	79

Stop Event

1×

saturated

Calls

Call 1

Inputs
(neg.f32 (log.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/512 binary32) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))))) x) (+.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1/64 binary32) (.f32 x x)) #s(literal 1/16 binary32)) (*.f32 x x))))))
(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) x) (+.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1/64 binary32) (.f32 x x)) #s(literal 1/16 binary32)) (.f32 x x))))))
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)))
(log.f32 (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)))
(neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) x)))
(log.f32 (+.f32 x x))

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

soundness837.0ms (8.8%)

Memory

-23.0MiB live, 684.8MiB allocated

Rules

13 686×	`accelerator-lowering-fma.f32`
13 686×	`accelerator-lowering-fma.f64`
10 204×	`accelerator-lowering-fma.f32`
10 204×	`accelerator-lowering-fma.f64`
6 306×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	559
1	411	533
2	1143	526
3	3327	488
4	7966	488
0	8526	459
0	12	54
1	68	52
2	478	52
3	4977	52
0	8153	48
0	7	28
1	44	28
2	317	28
3	3621	28
0	8641	24
0	121	847
1	286	839
2	711	835
3	1967	835
4	4375	835
5	5370	835
6	6730	826
0	8070	801
0	285	2068
1	794	1904
2	2283	1882
3	7999	1882
0	8003	1825

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 159 to 99 computations (37.7% saved)

preprocess104.0ms (1.1%)

Memory: 7.7MiB live, 147.2MiB allocated
Compiler: Compiled 206 to 112 computations (45.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample473.0ms (5%)

preprocess713.0ms (7.5%)

explain101.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify1.1s (11.5%)

localize23.0ms (0.2%)

series5.0ms (0%)

rewrite333.0ms (3.5%)

simplify321.0ms (3.4%)

eval41.0ms (0.4%)

prune76.0ms (0.8%)

simplify567.0ms (6%)

localize119.0ms (1.2%)

series354.0ms (3.7%)

rewrite319.0ms (3.4%)

simplify571.0ms (6%)

eval105.0ms (1.1%)

prune122.0ms (1.3%)

simplify5.0ms (0.1%)

localize101.0ms (1.1%)

series54.0ms (0.6%)

rewrite307.0ms (3.2%)

simplify509.0ms (5.4%)

eval62.0ms (0.6%)

prune87.0ms (0.9%)

simplify271.0ms (2.8%)

localize62.0ms (0.7%)

series11.0ms (0.1%)

rewrite376.0ms (4%)

simplify729.0ms (7.7%)

eval301.0ms (3.2%)

prune230.0ms (2.4%)

regimes11.0ms (0.1%)

regimes36.0ms (0.4%)

regimes9.0ms (0.1%)

regimes47.0ms (0.5%)

regimes5.0ms (0%)

regimes4.0ms (0%)

simplify9.0ms (0.1%)

soundness837.0ms (8.8%)

preprocess104.0ms (1.1%)

end0.0ms (0%)

Profiling