Metrics for Rust f32::acosh

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample374.0ms (2.5%)

Memory

-8.3MiB live, 980.5MiB allocated

Samples

271.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 157.0ms

ival-acosh: 121.0ms (77.2% of total)

ival->=: 26.0ms (16.6% of total)

exact: 6.0ms (3.8% of total)

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

Bogosity

preprocess631.0ms (4.2%)

Memory

9.5MiB live, 1 295.7MiB 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 (+.f32 (*.f32 x x) #s(literal -1 binary32)))))

Call 2

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

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

explain103.0ms (0.7%)

Memory

7.0MiB live, 210.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
123	-	-	`(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))`
2	-	-	`(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	123	0
↳	`(*.f32 x x)`	overflow	123
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	123
`log.f32`	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`	oflow-rescue	2	0
↳	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`	overflow	2
↳	`(*.f32 x x)`	overflow	123
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	123

Confusion

	Predicted +	Predicted -
+	123	0
-	0	133

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	123	0	0
-	0	0	133

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	133
1	121
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

37.0ms

512×

valid

Compiler

Compiled 90 to 32 computations (64.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-log: 10.0ms (43.6% of total)

ival-mult: 4.0ms (17.4% of total)

ival-sqrt: 4.0ms (17.4% of total)

ival-sub: 3.0ms (13.1% of total)

ival-add: 3.0ms (13.1% 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: 0.7MiB live, 0.7MiB allocated
Compiler: Compiled 10 to 7 computations (30% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.0%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify657.0ms (4.4%)

Memory

-3.7MiB live, 853.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

localize23.0ms (0.2%)

Memory

33.1MiB live, 33.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(-.f32 (*.f32 x x) #s(literal 1 binary32))
✓	accuracy	99.9%	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
✓	accuracy	99.2%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	accuracy	58.4%	(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-log: 3.0ms (33.6% of total)

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

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

ival-sub: 1.0ms (11.2% 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)

series23.0ms (0.2%)

Memory

-32.7MiB live, 5.2MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
18.0ms	x	@	-inf	(- (* x x) 1)
1.0ms	x	@	0	(log (+ x (sqrt (- (* x x) 1))))
1.0ms	x	@	-inf	(log (+ x (sqrt (- (* x x) 1))))
1.0ms	x	@	inf	(log (+ x (sqrt (- (* x x) 1))))
0.0ms	x	@	0	(sqrt (- (* x x) 1))

rewrite770.0ms (5.1%)

Memory

-104.6MiB live, 604.4MiB 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
(log (+ x (sqrt (- (* x x) 1))))
(+ x (sqrt (- (* x x) 1)))
(sqrt (- (* x x) 1))
(- (* x x) 1)

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

simplify423.0ms (2.8%)

Memory

2.1MiB live, 644.7MiB 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	1147	526
3	3325	488
4	7968	488
0	8520	459

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval90.0ms (0.6%)

Memory: 32.4MiB live, 70.9MiB allocated
Compiler: Compiled 11 369 to 1 568 computations (86.2% saved)

prune98.0ms (0.7%)

Memory

-19.5MiB live, 139.5MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	357	11	368
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	357	12	369

Accuracy

100.0%

Counts

369 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.9%	(-.f32 (log.f32 (.f32 (+.f32 (.f32 x (.f32 x (.f32 x x))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (+.f32 (.f32 x x) #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 x (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)))))) (log.f32 (+.f32 (.f32 x x) (+.f32 (.f32 x x) #s(literal -1 binary32)))))
▶	95.8%	(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
▶	98.4%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x))))))))
▶	98.2%	(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x)))
▶	97.6%	(log.f32 (+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x)))
	98.2%	(log.f32 (+.f32 x (-.f32 x (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x))))
	98.4%	(log.f32 (+.f32 x (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))))))
	97.6%	(log.f32 (+.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))
	19.2%	(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (.f32 (.f32 x (.f32 x x)) (.f32 x (+.f32 (.f32 x x) #s(literal 1 binary32)))) (+.f32 (.f32 x x) #s(literal 1 binary32))) (.f32 (+.f32 (.f32 x x) #s(literal 1 binary32)) (+.f32 (*.f32 x x) #s(literal 1 binary32)))))))
✓	55.0%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
	55.0%	(log.f32 (+.f32 x (sqrt.f32 (+.f32 (+.f32 x #s(literal -1 binary32)) (*.f32 x (+.f32 x #s(literal -1 binary32)))))))
▶	95.8%	(log.f32 (+.f32 x x))

Compiler

Compiled 420 to 237 computations (43.6% saved)

simplify284.0ms (1.9%)

Memory

-15.3MiB live, 344.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

6 196×	`accelerator-lowering-fma.f32`
6 196×	`accelerator-lowering-fma.f64`
2 096×	`-lowering-.f32`
2 096×	`-lowering-.f64`
1 370×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	220
1	59	208
2	119	208
3	252	208
4	385	208
5	591	208
6	1340	208
7	4557	208
0	8345	196

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize139.0ms (0.9%)

Memory

10.8MiB live, 243.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f32 x)
✓	accuracy	100.0%	(log.f32 #s(literal 2 binary32))
✓	accuracy	99.2%	(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
✓	accuracy	100.0%	(+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x))
✓	accuracy	99.8%	(/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)
✓	accuracy	99.2%	(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x)))
✓	accuracy	97.5%	(/.f32 #s(literal 1/8 binary32) (*.f32 x x))
✓	accuracy	100.0%	(/.f32 #s(literal -1/2 binary32) x)
✓	accuracy	100.0%	(+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x))
✓	accuracy	100.0%	(*.f32 x #s(literal 2 binary32))
✓	accuracy	99.2%	(log.f32 (+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x)))
✓	accuracy	100.0%	(+.f32 x x)
✓	accuracy	99.3%	(log.f32 (+.f32 x x))
✓	accuracy	99.7%	(.f32 x (.f32 x x))
✓	accuracy	99.2%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x))))))))
✓	accuracy	99.1%	(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))
✓	accuracy	97.7%	(/.f32 #s(literal -1/16 binary32) (*.f32 x x))

Samples

58.0ms

256×

valid

Compiler

Compiled 236 to 32 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-log: 15.0ms (33.6% of total)

ival-div: 12.0ms (26.9% of total)

ival-add: 9.0ms (20.2% of total)

ival-mult: 7.0ms (15.7% of total)

ival-sub: 1.0ms (2.2% of total)

exact: 1.0ms (2.2% of total)

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

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

series168.0ms (1.1%)

Memory

37.5MiB live, 226.4MiB allocated

Counts

19 → 216

Calls

Call 1

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

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

Calls

54 calls:

Time	Variable		Point	Expression
48.0ms	x	@	-inf	(+ (log 2) (log x))
39.0ms	x	@	0	(log (+ x x))
31.0ms	x	@	0	(+ (log 2) (log x))
24.0ms	x	@	-inf	(log (+ x x))
6.0ms	x	@	inf	(log (+ x x))

rewrite1.5s (9.7%)

Memory

-9.4MiB live, 1 075.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

12 254×	`accelerator-lowering-fma.f32`
12 254×	`accelerator-lowering-fma.f64`
4 514×	`/-lowering-/.f32`
4 514×	`/-lowering-/.f64`
3 434×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	146
1	186	126
2	2079	126
0	8120	118

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 1 663

Calls

Call 1

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

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

simplify441.0ms (2.9%)

Memory

9.2MiB live, 795.4MiB allocated

Algorithm

1×	egg-herbie

Rules

13 240×	`accelerator-lowering-fma.f32`
13 240×	`accelerator-lowering-fma.f64`
4 052×	`+-lowering-+.f64`
4 052×	`+-lowering-+.f32`
3 502×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	233	1848
1	608	1746
2	1602	1715
3	4172	1680
0	8150	1615

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

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

eval190.0ms (1.3%)

Memory: 19.6MiB live, 490.7MiB allocated
Compiler: Compiled 55 624 to 4 552 computations (91.8% saved)

prune372.0ms (2.5%)

Memory

-8.9MiB live, 678.9MiB allocated

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	2 138	7	2 145
Fresh	3	3	6
Picked	0	5	5
Done	0	1	1
Total	2 141	16	2 157

Accuracy

100.0%

Counts

2 157 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.9%	(-.f32 (log.f32 (.f32 (+.f32 (.f32 x (.f32 x (.f32 x x))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (+.f32 (.f32 x x) #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 x (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)))))) (log.f32 (+.f32 (.f32 x x) (+.f32 (.f32 x x) #s(literal -1 binary32)))))
✓	95.8%	(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
▶	97.7%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (/.f32 (.f32 (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))) (/.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x)))))) x) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x))))))))
▶	98.4%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (+.f32 (.f32 x #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (*.f32 x x)))))))
	98.2%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (+.f32 (.f32 x #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x)))))))
	53.8%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 (.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))) (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))))))))
✓	98.4%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x))))))))
	98.2%	(log.f32 (+.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x) x) x))
▶	97.6%	(log.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x) x))
✓	98.2%	(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x)))
✓	97.6%	(log.f32 (+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x)))
▶	98.2%	(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))))))
	19.2%	(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (.f32 (.f32 x (.f32 x x)) (.f32 x (+.f32 (.f32 x x) #s(literal 1 binary32)))) (+.f32 (.f32 x x) #s(literal 1 binary32))) (.f32 (+.f32 (.f32 x x) #s(literal 1 binary32)) (+.f32 (*.f32 x x) #s(literal 1 binary32)))))))
✓	55.0%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
▶	55.0%	(log.f32 (+.f32 x (sqrt.f32 (+.f32 (+.f32 x #s(literal -1 binary32)) (*.f32 x (+.f32 x #s(literal -1 binary32)))))))
✓	95.8%	(log.f32 (+.f32 x x))

Compiler

Compiled 696 to 333 computations (52.2% saved)

simplify310.0ms (2.1%)

Memory

-13.7MiB live, 598.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

4 838×	`accelerator-lowering-fma.f32`
4 838×	`accelerator-lowering-fma.f64`
4 518×	`/-lowering-/.f32`
4 518×	`/-lowering-/.f64`
4 296×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	555
1	109	511
2	287	487
3	1035	487
4	5157	479
5	7764	479
0	9102	461

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize238.0ms (1.6%)

Memory

-12.4MiB live, 459.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(+.f32 x (sqrt.f32 (+.f32 (+.f32 x #s(literal -1 binary32)) (*.f32 x (+.f32 x #s(literal -1 binary32))))))
✓	accuracy	99.8%	(+.f32 (+.f32 x #s(literal -1 binary32)) (*.f32 x (+.f32 x #s(literal -1 binary32))))
✓	accuracy	99.2%	(log.f32 (+.f32 x (sqrt.f32 (+.f32 (+.f32 x #s(literal -1 binary32)) (*.f32 x (+.f32 x #s(literal -1 binary32)))))))
✓	accuracy	58.4%	(sqrt.f32 (+.f32 (+.f32 x #s(literal -1 binary32)) (*.f32 x (+.f32 x #s(literal -1 binary32)))))
✓	accuracy	99.4%	(/.f32 (.f32 (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))) (/.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x)))))) x) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x))))))
✓	accuracy	99.2%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (/.f32 (.f32 (-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))) (/.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x)))))) x) (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x))))))))
✓	accuracy	99.1%	(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))
✓	accuracy	97.7%	(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
✓	accuracy	100.0%	(+.f32 (.f32 x #s(literal 2 binary32)) (.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x)))))
✓	accuracy	99.8%	(.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))))
✓	accuracy	99.2%	(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))))))
✓	accuracy	97.5%	(/.f32 #s(literal -1/8 binary32) (*.f32 x x))
✓	accuracy	100.0%	(/.f32 #s(literal -1/2 binary32) x)
✓	accuracy	100.0%	(+.f32 (/.f32 #s(literal -1/2 binary32) x) x)
✓	accuracy	99.9%	(+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x) x)
✓	accuracy	99.2%	(log.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x) x))
✓	accuracy	99.7%	(.f32 x (.f32 x x))
✓	accuracy	99.2%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (+.f32 (.f32 x #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (*.f32 x x)))))))
✓	accuracy	98.2%	(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (*.f32 x x)))
✓	accuracy	97.7%	(/.f32 #s(literal -1/16 binary32) (*.f32 x x))

Samples

132.0ms

256×

valid

Compiler

Compiled 625 to 46 computations (92.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

ival-sqrt: 32.0ms (28.9% of total)

ival-mult: 27.0ms (24.4% of total)

ival-add: 21.0ms (19% of total)

ival-div: 15.0ms (13.6% of total)

ival-log: 12.0ms (10.8% of total)

ival-sub: 2.0ms (1.8% of total)

exact: 1.0ms (0.9% of total)

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

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

series13.0ms (0.1%)

Memory

0.5MiB live, 39.5MiB allocated

Counts

24 → 288

Calls

Call 1

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

Outputs
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ -1/8 (pow x 3))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (/ -1/8 (pow x 3))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (+ (log -1/16) (* -5 (log x)))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (/ -1/2 x)>
#<alt (/ (- (pow x 2) 1/2) x)>
#<alt (/ (- (pow x 2) 1/2) x)>
#<alt (/ (- (pow x 2) 1/2) x)>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (+ (log -1/8) (* -3 (log x)))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* 4 (pow x 2))))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* -24 (pow x 2))))))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 256/3 (pow x 2)) 24))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (/ -1/256 (pow x 11))>
#<alt (/ (- (* -1/64 (pow x 2)) 1/256) (pow x 11))>
#<alt (/ (- (* (pow x 2) (- (* -1/64 (pow x 2)) 1/64)) 1/256) (pow x 11))>
#<alt (/ (- (* (pow x 2) (- (* -1/64 (pow x 2)) 1/64)) 1/256) (pow x 11))>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* x (- 4 (* 1/64 (/ 1 (pow x 8)))))>
#<alt (* x (+ 4 (* -1 (/ (+ 1/64 (* 1/64 (/ 1 (pow x 2)))) (pow x 8)))))>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* -1 (* x (- (* 1/64 (/ 1 (pow x 8))) 4)))>
#<alt (* -1 (* x (- (+ (/ 1/64 (pow x 10)) (* 1/64 (/ 1 (pow x 8)))) 4)))>
#<alt (+ (log -1/16) (* -5 (log x)))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))>
#<alt -1>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (log (sqrt -1))>
#<alt (+ (log (sqrt -1)) (/ x (sqrt -1)))>
#<alt (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))>
#<alt (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -1/2) (log (/ -1 x)))>
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))>
#<alt (sqrt -1)>
#<alt (+ x (sqrt -1))>
#<alt (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))>
#<alt (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))>
#<alt (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))>
#<alt (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ -1/8 (pow x 3))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (/ -1/8 (pow x 3))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/16 (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ -1/8 (pow x 4))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (/ -1/8 (pow x 4))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))>

Calls

72 calls:

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

rewrite419.0ms (2.8%)

Memory

3.3MiB live, 845.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 786×	`-lowering-.f32`
3 786×	`-lowering-.f64`
3 400×	`/-lowering-/.f32`
3 400×	`/-lowering-/.f64`
3 018×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	372
1	315	254
2	3549	254
0	8191	229

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 668

Calls

Call 1

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

Outputs
(+.f32 (/.f32 #s(literal -1/2 binary32) x) (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x)))))
(+.f32 (.f32 x #s(literal 2 binary32)) (+.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x))) (/.f32 #s(literal -1/2 binary32) x)))
(+.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x #s(literal 2 binary32))))
(+.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x)))) (/.f32 #s(literal -1/2 binary32) x))
(+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x #s(literal 2 binary32))) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x))))
(+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x)))) (.f32 x #s(literal 2 binary32)))
(pow.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x)))) (-.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x)))) (/.f32 #s(literal -1/2 binary32) x)))) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x))) (.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x)))) (.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x)))) (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x)))))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x x))) x) (.f32 x #s(literal 2 binary32))) (.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x #s(literal 2 binary32)))) (-.f32 (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x x))) x) (*.f32 x #s(literal 2 binary32))))) #s(literal -1 binary32))
(fma.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) x) (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x)))))
(fma.f32 x #s(literal 2 binary32) (+.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (*.f32 x x))) (/.f32 #s(literal -1/2 binary32) x)))
(fma.f32 #s(literal 2 binary32) x (+.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (*.f32 x x))) (/.f32 #s(literal -1/2 binary32) x)))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x) (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x)))))
(fma.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x #s(literal 2 binary32))))
(fma.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (/.f32 (/.f32 #s(literal 1 binary32) x) (.f32 x x)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 x #s(literal 2 binary32))))
(fma.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x))) #s(literal 1 binary32) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x #s(literal 2 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x)))))
(fma.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x x)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 x #s(literal 2 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (/.f32 (.f32 x x) (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x)))) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 x #s(literal 2 binary32))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 x)) (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x)))))
(fma.f32 (neg.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x)))) (/.f32 #s(literal 1 binary32) (neg.f32 (.f32 x (.f32 x x)))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x #s(literal 2 binary32))))
(fma.f32 (+.f32 (.f32 (.f32 x (.f32 x x)) #s(literal 8 binary32)) (/.f32 (.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))))) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x)))))) (/.f32 #s(literal 1 binary32) (+.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (/.f32 (-.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x))) (.f32 x #s(literal 2 binary32))) (/.f32 (.f32 x (.f32 x x)) (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x))))))) (/.f32 #s(literal -1/2 binary32) x))
(fma.f32 (+.f32 (.f32 x (.f32 x x)) (.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) x)) (.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) x)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x))))) (/.f32 #s(literal 1 binary32) (+.f32 (.f32 (+.f32 x (/.f32 #s(literal -1/2 binary32) x)) (+.f32 x (/.f32 #s(literal -1/2 binary32) x))) (.f32 x (-.f32 x (+.f32 x (/.f32 #s(literal -1/2 binary32) x)))))) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (*.f32 x x))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) x) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 x #s(literal 2 binary32))))
(fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (.f32 x x)) (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 x #s(literal 2 binary32))))
(fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (.f32 x x)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x)))) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 x #s(literal 2 binary32))))
(fma.f32 (-.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (/.f32 (.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x)))) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))))) (/.f32 #s(literal 1 binary32) (-.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x))))) (/.f32 #s(literal -1/2 binary32) x))
(fma.f32 (.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x #s(literal 2 binary32))) (+.f32 x (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))) (/.f32 #s(literal 1 binary32) (+.f32 x (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (*.f32 x x))))
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simplify549.0ms (3.6%)

Memory

-6.0MiB live, 885.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 778×	`accelerator-lowering-fma.f32`
10 778×	`accelerator-lowering-fma.f64`
4 934×	`-lowering-.f32`
4 934×	`-lowering-.f64`
3 120×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	359	2945
1	955	2840
2	2618	2706
3	7936	2706
0	8204	2582

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ -1/8 (pow x 3))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(/ -1/8 (pow x 3))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(+ (log -1/16) (* -5 (log x)))
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/2 x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(/ -1/2 x)
(/ (- (pow x 2) 1/2) x)
(/ (- (pow x 2) 1/2) x)
(/ (- (pow x 2) 1/2) x)
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
x
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(/ -1/8 (pow x 3))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(+ (log -1/8) (* -3 (log x)))
(+ (log -1/8) (+ (* -3 (log x)) (* 4 (pow x 2))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* -24 (pow x 2))))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 256/3 (pow x 2)) 24))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/8 (pow x 3))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(/ -1/256 (pow x 11))
(/ (- (* -1/64 (pow x 2)) 1/256) (pow x 11))
(/ (- (* (pow x 2) (- (* -1/64 (pow x 2)) 1/64)) 1/256) (pow x 11))
(/ (- (* (pow x 2) (- (* -1/64 (pow x 2)) 1/64)) 1/256) (pow x 11))
(* 4 x)
(* 4 x)
(* x (- 4 (* 1/64 (/ 1 (pow x 8)))))
(* x (+ 4 (* -1 (/ (+ 1/64 (* 1/64 (/ 1 (pow x 2)))) (pow x 8)))))
(* 4 x)
(* 4 x)
(* -1 (* x (- (* 1/64 (/ 1 (pow x 8))) 4)))
(* -1 (* x (- (+ (/ 1/64 (pow x 10)) (* 1/64 (/ 1 (pow x 8)))) 4)))
(+ (log -1/16) (* -5 (log x)))
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* -1 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ -1/8 (pow x 3))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(/ -1/8 (pow x 3))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/16 (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ -1/8 (pow x 4))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/ -1/8 (pow x 4))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))
(* 2 x)
(* x (- 2 (* 1/8 (/ 1 (pow x 4)))))
(* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(* 2 x)
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))

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

eval142.0ms (0.9%)

Memory: 14.9MiB live, 354.1MiB allocated
Compiler: Compiled 50 977 to 4 034 computations (92.1% saved)

prune141.0ms (0.9%)

Memory

16.8MiB live, 350.7MiB allocated

Pruning

19 alts after pruning (11 fresh and 8 done)

	Pruned	Kept	Total
New	1 242	9	1 251
Fresh	3	2	5
Picked	3	2	5
Done	0	6	6
Total	1 248	19	1 267

Accuracy

100.0%

Counts

1 267 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.9%	(-.f32 (log.f32 (.f32 (+.f32 (.f32 x (.f32 x (.f32 x x))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (+.f32 (.f32 x x) #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 x (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)))))) (log.f32 (+.f32 (.f32 x x) (+.f32 (.f32 x x) #s(literal -1 binary32)))))
✓	95.8%	(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
▶	53.8%	(log.f32 (/.f32 (-.f32 (.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x #s(literal 2 binary32)))) (/.f32 (.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x)))) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))))) (-.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x #s(literal 2 binary32))) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (*.f32 x x))))))
▶	98.4%	(log.f32 (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))) x) (.f32 x (/.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))))))
	18.2%	(log.f32 (/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/2 binary32) (.f32 #s(literal 2 binary32) (.f32 x x))))))))) (.f32 x (.f32 x (.f32 x (.f32 x x))))))
▶	98.4%	(log.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x #s(literal 2 binary32)))))
▶	98.2%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x))) (*.f32 x #s(literal 2 binary32)))))
	98.4%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 (/.f32 x (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (-.f32 #s(literal 4 binary32) (/.f32 (.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x)))) (.f32 (.f32 x (.f32 x (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))))))
✓	98.4%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x))))))))
▶	43.6%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x))
	98.2%	(log.f32 (+.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x) x) x))
✓	97.6%	(log.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x) x))
✓	98.2%	(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x)))
✓	97.6%	(log.f32 (+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x)))
✓	55.0%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
	55.0%	(log.f32 (+.f32 x (sqrt.f32 (+.f32 (+.f32 (+.f32 x #s(literal -1 binary32)) (*.f32 x x)) (neg.f32 x)))))
✓	55.0%	(log.f32 (+.f32 x (sqrt.f32 (+.f32 (+.f32 x #s(literal -1 binary32)) (*.f32 x (+.f32 x #s(literal -1 binary32)))))))
✓	95.8%	(log.f32 (+.f32 x x))
	53.8%	(log.f32 (.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (.f32 (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (.f32 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 binary32) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))))))

Compiler

Compiled 897 to 415 computations (53.7% saved)

simplify497.0ms (3.3%)

Memory

1.1MiB live, 774.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 x #s(literal 2 binary32)))
✓	cost-diff	0	(log.f32 (/.f32 (-.f32 (.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x #s(literal 2 binary32)))) (/.f32 (.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x)))) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))))) (-.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x #s(literal 2 binary32))) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (*.f32 x x))))))
✓	cost-diff	64	(.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (*.f32 x #s(literal 2 binary32))))
✓	cost-diff	1408	(/.f32 (-.f32 (.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x #s(literal 2 binary32)))) (/.f32 (.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x)))) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))))) (-.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x #s(literal 2 binary32))) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (*.f32 x x)))))
✓	cost-diff	64	(.f32 x (/.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))))
✓	cost-diff	64	(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x))))))
✓	cost-diff	64	(.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))))
✓	cost-diff	64	(/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))) x) (.f32 x (/.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))))
✓	cost-diff	0	(+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x))) (*.f32 x #s(literal 2 binary32)))
✓	cost-diff	0	(/.f32 #s(literal -1/2 binary32) x)
✓	cost-diff	0	(+.f32 (/.f32 #s(literal -1/2 binary32) x) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x))) (*.f32 x #s(literal 2 binary32))))
✓	cost-diff	0	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x))) (*.f32 x #s(literal 2 binary32)))))
✓	cost-diff	0	(/.f32 #s(literal -1/2 binary32) x)
✓	cost-diff	0	(+.f32 (/.f32 #s(literal -1/2 binary32) x) x)
✓	cost-diff	0	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x))
✓	cost-diff	0	(+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x)))
✓	cost-diff	0	(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (*.f32 x x)))
✓	cost-diff	0	(+.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x #s(literal 2 binary32))))
✓	cost-diff	0	(log.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x #s(literal 2 binary32)))))

Rules

11 696×	`accelerator-lowering-fma.f32`
11 696×	`accelerator-lowering-fma.f64`
3 650×	`+-lowering-+.f64`
3 650×	`+-lowering-+.f32`
2 924×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	604
1	115	562
2	330	556
3	1152	548
4	3919	548
5	7439	548
0	8175	527

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize276.0ms (1.8%)

Memory

22.2MiB live, 330.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(log.f32 (/.f32 (-.f32 (.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x #s(literal 2 binary32)))) (/.f32 (.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x)))) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))))) (-.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x #s(literal 2 binary32))) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (*.f32 x x))))))
✓	accuracy	98.2%	(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (*.f32 x x)))
✓	accuracy	97.7%	(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
✓	accuracy	58.0%	(/.f32 (-.f32 (.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x #s(literal 2 binary32)))) (/.f32 (.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x)))) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))))) (-.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x #s(literal 2 binary32))) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (*.f32 x x)))))
✓	accuracy	99.4%	(.f32 x (/.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))))
✓	accuracy	99.2%	(log.f32 (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))) x) (.f32 x (/.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))))))
✓	accuracy	99.1%	(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))
✓	accuracy	97.7%	(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
✓	accuracy	99.9%	(+.f32 (/.f32 #s(literal -1/2 binary32) x) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x))) (*.f32 x #s(literal 2 binary32))))
✓	accuracy	99.7%	(.f32 x (.f32 x x))
✓	accuracy	99.2%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x))) (*.f32 x #s(literal 2 binary32)))))
✓	accuracy	98.4%	(/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x)))
✓	accuracy	100.0%	(/.f32 #s(literal -1/2 binary32) x)
✓	accuracy	100.0%	(+.f32 (/.f32 #s(literal -1/2 binary32) x) x)
✓	accuracy	100.0%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x))
✓	accuracy	99.7%	(.f32 x (.f32 x x))
✓	accuracy	99.2%	(log.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x #s(literal 2 binary32)))))
✓	accuracy	98.2%	(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (*.f32 x x)))
✓	accuracy	97.7%	(/.f32 #s(literal -1/16 binary32) (*.f32 x x))

Samples

119.0ms

256×

valid

Compiler

Compiled 768 to 42 computations (94.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-log: 41.0ms (47.4% of total)

ival-div: 17.0ms (19.7% of total)

ival-mult: 17.0ms (19.7% of total)

ival-add: 9.0ms (10.4% of total)

ival-sub: 2.0ms (2.3% of total)

exact: 1.0ms (1.2% of total)

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

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

series31.0ms (0.2%)

Memory

-35.8MiB live, 20.7MiB allocated

Counts

23 → 276

Calls

Call 1

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

Outputs
#<alt (+ (log -1/16) (* -5 (log x)))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ -1/8 (pow x 3))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (/ -1/8 (pow x 3))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 2))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 2))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 2))>
#<alt -1/8>
#<alt (* -1 (+ 1/8 (* 1/16 (/ 1 (pow x 2)))))>
#<alt (* -1 (+ 1/8 (* 1/16 (/ 1 (pow x 2)))))>
#<alt (* -1 (+ 1/8 (* 1/16 (/ 1 (pow x 2)))))>
#<alt -1/8>
#<alt (* -1 (+ 1/8 (* 1/16 (/ 1 (pow x 2)))))>
#<alt (* -1 (+ 1/8 (* 1/16 (/ 1 (pow x 2)))))>
#<alt (* -1 (+ 1/8 (* 1/16 (/ 1 (pow x 2)))))>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (+ (* -2 (pow x 2)) (* -1 (log x))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -2 (pow x 2)) 2))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -8/3 (pow x 2)) 2)) 2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (- (* -1 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))>
#<alt (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))>
#<alt (- (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/8 (* 1/24 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -1) (* -1 (log (/ -1 x)))) (* 1/2 (/ 1 (pow x 2))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/8 (* 1/24 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))>
#<alt (/ -1/2 x)>
#<alt (/ (- (pow x 2) 1/2) x)>
#<alt (/ (- (pow x 2) 1/2) x)>
#<alt (/ (- (pow x 2) 1/2) x)>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (+ (log -1/8) (* -3 (log x)))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* 4 (pow x 2))))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* -24 (pow x 2))))))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 256/3 (pow x 2)) 24))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ (- (* 2 (pow x 4)) 1/8) (pow x 3))>
#<alt (/ (- (* 2 (pow x 4)) 1/8) (pow x 3))>
#<alt (/ (- (* 2 (pow x 4)) 1/8) (pow x 3))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* x (- 2 (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* x (- 2 (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))>
#<alt (* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))>
#<alt (* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))>
#<alt (* 8 (pow x 5))>
#<alt (* (pow x 5) (+ 8 (* -16 (pow x 2))))>
#<alt (* (pow x 5) (+ 8 (* (pow x 2) (- (* 32 (pow x 2)) 16))))>
#<alt (* (pow x 5) (+ 8 (* (pow x 2) (- (* (pow x 2) (+ 32 (* 192 (pow x 2)))) 16))))>
#<alt (/ -1/4 x)>
#<alt (* -1 (/ (+ 1/4 (* 1/64 (/ 1 (pow x 4)))) x))>
#<alt (/ (- (* -1 (/ (+ 1/64 (* 1/128 (/ 1 (pow x 2)))) (pow x 4))) 1/4) x)>
#<alt (/ (- (* -1 (/ (+ 1/128 (* 1/1024 (/ 1 (pow x 2)))) (pow x 6))) (+ 1/4 (* 1/64 (/ 1 (pow x 4))))) x)>
#<alt (/ -1/4 x)>
#<alt (* -1 (/ (+ 1/4 (* 1/64 (/ 1 (pow x 4)))) x))>
#<alt (* -1 (/ (+ 1/4 (+ (/ 1/128 (pow x 6)) (* 1/64 (/ 1 (pow x 4))))) x))>
#<alt (* -1 (/ (+ 1/4 (+ (/ 1/128 (pow x 6)) (+ (* 1/64 (/ 1 (pow x 4))) (* 1/1024 (/ 1 (pow x 8)))))) x))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))>
#<alt (* -16 (pow x 6))>
#<alt (* (pow x 6) (- (* 32 (pow x 2)) 16))>
#<alt (* (pow x 6) (- (* (pow x 2) (+ 32 (* -64 (pow x 2)))) 16))>
#<alt (* (pow x 6) (- (* (pow x 2) (+ 32 (* (pow x 2) (- (* -384 (pow x 2)) 64)))) 16))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/32 (/ 1 (pow x 4))))>
#<alt (+ 1/2 (+ (/ 1/64 (pow x 6)) (* 1/32 (/ 1 (pow x 4)))))>
#<alt (+ 1/2 (+ (/ 1/64 (pow x 6)) (+ (* 1/32 (/ 1 (pow x 4))) (* 1/512 (/ 1 (pow x 8))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/32 (/ 1 (pow x 4))))>
#<alt (+ 1/2 (+ (/ 1/64 (pow x 6)) (* 1/32 (/ 1 (pow x 4)))))>
#<alt (+ 1/2 (+ (/ 1/64 (pow x 6)) (+ (* 1/32 (/ 1 (pow x 4))) (* 1/512 (/ 1 (pow x 8))))))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ (+ 1/4 (* -2 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1/4 (* (pow x 2) (- (* 4 (pow x 2)) 2))) (pow x 2))>
#<alt (/ (+ 1/4 (* (pow x 2) (- (* 4 (pow x 2)) 2))) (pow x 2))>
#<alt (* 4 (pow x 2))>
#<alt (* (pow x 2) (- 4 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (+ 4 (/ 1/4 (pow x 4))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (+ 4 (/ 1/4 (pow x 4))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* 4 (pow x 2))>
#<alt (* (pow x 2) (- 4 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (+ 4 (/ 1/4 (pow x 4))) (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (+ 4 (/ 1/4 (pow x 4))) (* 2 (/ 1 (pow x 2)))))>
#<alt (+ (log -1/16) (* -5 (log x)))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/2 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 (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ -1/16 (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ -1/8 (pow x 4))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (/ -1/8 (pow x 4))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (+ (log -1/16) (* -5 (log x)))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>

Calls

69 calls:

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

rewrite786.0ms (5.2%)

Memory

18.3MiB live, 772.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 368×	`/-lowering-/.f32`
4 368×	`/-lowering-/.f64`
3 678×	`-lowering-.f32`
3 678×	`-lowering-.f64`
3 456×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	326
1	296	310
2	3490	304
0	8748	268

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 849

Calls

Call 1

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

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

simplify535.0ms (3.5%)

Memory

4.1MiB live, 684.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 648×	`accelerator-lowering-fma.f32`
8 648×	`accelerator-lowering-fma.f64`
4 118×	`-lowering-.f32`
4 118×	`-lowering-.f64`
3 526×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	327	2966
1	860	2860
2	2248	2735
3	5845	2696
0	8244	2565

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

Inputs
(+ (log -1/16) (* -5 (log x)))
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ -1/8 (pow x 3))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(/ -1/8 (pow x 3))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(/ -1/16 (pow x 2))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 2))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 2))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 2))
-1/8
(* -1 (+ 1/8 (* 1/16 (/ 1 (pow x 2)))))
(* -1 (+ 1/8 (* 1/16 (/ 1 (pow x 2)))))
(* -1 (+ 1/8 (* 1/16 (/ 1 (pow x 2)))))
-1/8
(* -1 (+ 1/8 (* 1/16 (/ 1 (pow x 2)))))
(* -1 (+ 1/8 (* 1/16 (/ 1 (pow x 2)))))
(* -1 (+ 1/8 (* 1/16 (/ 1 (pow x 2)))))
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (+ (* -2 (pow x 2)) (* -1 (log x))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -2 (pow x 2)) 2))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -8/3 (pow x 2)) 2)) 2))))
(* -1 (log (/ 1 x)))
(- (* -1 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))
(+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))
(- (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/8 (* 1/24 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))
(+ (log -1) (* -1 (log (/ -1 x))))
(- (+ (log -1) (* -1 (log (/ -1 x)))) (* 1/2 (/ 1 (pow x 2))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/8 (* 1/24 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))
(/ -1/2 x)
(/ (- (pow x 2) 1/2) x)
(/ (- (pow x 2) 1/2) x)
(/ (- (pow x 2) 1/2) x)
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
x
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(+ (log -1/8) (* -3 (log x)))
(+ (log -1/8) (+ (* -3 (log x)) (* 4 (pow x 2))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* -24 (pow x 2))))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 256/3 (pow x 2)) 24))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/8 (pow x 3))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(/ -1/8 (pow x 3))
(/ (- (* 2 (pow x 4)) 1/8) (pow x 3))
(/ (- (* 2 (pow x 4)) 1/8) (pow x 3))
(/ (- (* 2 (pow x 4)) 1/8) (pow x 3))
(* 2 x)
(* x (- 2 (* 1/8 (/ 1 (pow x 4)))))
(* x (- 2 (* 1/8 (/ 1 (pow x 4)))))
(* x (- 2 (* 1/8 (/ 1 (pow x 4)))))
(* 2 x)
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(* 8 (pow x 5))
(* (pow x 5) (+ 8 (* -16 (pow x 2))))
(* (pow x 5) (+ 8 (* (pow x 2) (- (* 32 (pow x 2)) 16))))
(* (pow x 5) (+ 8 (* (pow x 2) (- (* (pow x 2) (+ 32 (* 192 (pow x 2)))) 16))))
(/ -1/4 x)
(* -1 (/ (+ 1/4 (* 1/64 (/ 1 (pow x 4)))) x))
(/ (- (* -1 (/ (+ 1/64 (* 1/128 (/ 1 (pow x 2)))) (pow x 4))) 1/4) x)
(/ (- (* -1 (/ (+ 1/128 (* 1/1024 (/ 1 (pow x 2)))) (pow x 6))) (+ 1/4 (* 1/64 (/ 1 (pow x 4))))) x)
(/ -1/4 x)
(* -1 (/ (+ 1/4 (* 1/64 (/ 1 (pow x 4)))) x))
(* -1 (/ (+ 1/4 (+ (/ 1/128 (pow x 6)) (* 1/64 (/ 1 (pow x 4))))) x))
(* -1 (/ (+ 1/4 (+ (/ 1/128 (pow x 6)) (+ (* 1/64 (/ 1 (pow x 4))) (* 1/1024 (/ 1 (pow x 8)))))) x))
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))
(* 2 x)
(* x (- 2 (* 1/8 (/ 1 (pow x 4)))))
(* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(* 2 x)
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))
(* -16 (pow x 6))
(* (pow x 6) (- (* 32 (pow x 2)) 16))
(* (pow x 6) (- (* (pow x 2) (+ 32 (* -64 (pow x 2)))) 16))
(* (pow x 6) (- (* (pow x 2) (+ 32 (* (pow x 2) (- (* -384 (pow x 2)) 64)))) 16))
1/2
(+ 1/2 (* 1/32 (/ 1 (pow x 4))))
(+ 1/2 (+ (/ 1/64 (pow x 6)) (* 1/32 (/ 1 (pow x 4)))))
(+ 1/2 (+ (/ 1/64 (pow x 6)) (+ (* 1/32 (/ 1 (pow x 4))) (* 1/512 (/ 1 (pow x 8))))))
1/2
(+ 1/2 (* 1/32 (/ 1 (pow x 4))))
(+ 1/2 (+ (/ 1/64 (pow x 6)) (* 1/32 (/ 1 (pow x 4)))))
(+ 1/2 (+ (/ 1/64 (pow x 6)) (+ (* 1/32 (/ 1 (pow x 4))) (* 1/512 (/ 1 (pow x 8))))))
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(/ 1/4 (pow x 2))
(/ (+ 1/4 (* -2 (pow x 2))) (pow x 2))
(/ (+ 1/4 (* (pow x 2) (- (* 4 (pow x 2)) 2))) (pow x 2))
(/ (+ 1/4 (* (pow x 2) (- (* 4 (pow x 2)) 2))) (pow x 2))
(* 4 (pow x 2))
(* (pow x 2) (- 4 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 4 (/ 1/4 (pow x 4))) (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 4 (/ 1/4 (pow x 4))) (* 2 (/ 1 (pow x 2)))))
(* 4 (pow x 2))
(* (pow x 2) (- 4 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 4 (/ 1/4 (pow x 4))) (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 4 (/ 1/4 (pow x 4))) (* 2 (/ 1 (pow x 2)))))
(+ (log -1/16) (* -5 (log x)))
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/2 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)))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/8 (pow x 3))
(/ -1/16 (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ -1/8 (pow x 4))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/ -1/8 (pow x 4))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(+ (log -1/16) (* -5 (log x)))
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))

Outputs
(+ (log -1/16) (* -5 (log x)))
(+.f32 (log.f32 #s(literal -1/16 binary32)) (*.f32 #s(literal -5 binary32) (log.f32 x)))
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))
(+.f32 (log.f32 #s(literal -1/16 binary32)) (+.f32 (.f32 #s(literal -5 binary32) (log.f32 x)) (.f32 #s(literal 2 binary32) (*.f32 x x))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))
(+.f32 (+.f32 (log.f32 #s(literal -1/16 binary32)) (.f32 #s(literal -5 binary32) (log.f32 x))) (.f32 (.f32 x x) (+.f32 #s(literal 2 binary32) (.f32 (*.f32 x x) #s(literal 6 binary32)))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))
(+.f32 (.f32 #s(literal -5 binary32) (log.f32 x)) (+.f32 (log.f32 #s(literal -1/16 binary32)) (.f32 (.f32 x x) (+.f32 #s(literal 2 binary32) (.f32 x (.f32 x (+.f32 #s(literal 6 binary32) (.f32 (*.f32 x x) #s(literal -136/3 binary32)))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 3/32 binary32) (.f32 x x))) (.f32 x x)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (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 -2) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (log.f32 #s(literal -2 binary32)) (-.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f32 (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -3/32 binary32) (.f32 x x))) (.f32 x x)) (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (/.f32 (+.f32 #s(literal -3/32 binary32) (/.f32 #s(literal -5/96 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))) (+.f32 (log.f32 #s(literal -2 binary32)) (-.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))))
(/ -1/16 (pow x 5))
(/.f32 #s(literal -1/16 binary32) (.f32 x (.f32 x (.f32 x (.f32 x x)))))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 x (.f32 x #s(literal -1/8 binary32)))) (.f32 x (.f32 x (.f32 x (.f32 x x)))))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x #s(literal -1/2 binary32))))))) (.f32 x (.f32 x (.f32 x (.f32 x x)))))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x (+.f32 (.f32 #s(literal 2 binary32) (.f32 x x)) #s(literal -1/2 binary32)))))))) (.f32 x (.f32 x (.f32 x (.f32 x x)))))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) x))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(+.f32 (.f32 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))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x (.f32 x x)))))))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(+.f32 (.f32 x #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x (.f32 x x)))) (/.f32 #s(literal 1/16 binary32) (.f32 (.f32 x (.f32 x (.f32 x (.f32 x x)))) x))))))
(/ -1/16 (pow x 5))
(/.f32 #s(literal -1/16 binary32) (.f32 x (.f32 x (.f32 x (.f32 x x)))))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 x (.f32 x #s(literal -1/8 binary32)))) (.f32 x (.f32 x (.f32 x (.f32 x x)))))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 x (.f32 x #s(literal -1/8 binary32)))) (.f32 x (.f32 x (.f32 x (.f32 x x)))))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 x (.f32 x #s(literal -1/8 binary32)))) (.f32 x (.f32 x (.f32 x (.f32 x x)))))
(/ -1/8 (pow x 3))
(/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (*.f32 x x)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (*.f32 x x)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (*.f32 x x)))
(/ -1/8 (pow x 3))
(/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (*.f32 x x)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (*.f32 x x)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 3)))
(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (*.f32 x x)))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 2))
(+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 2))
(+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 2))
(+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x)))
-1/8
#s(literal -1/8 binary32)
(* -1 (+ 1/8 (* 1/16 (/ 1 (pow x 2)))))
(+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x)))
(* -1 (+ 1/8 (* 1/16 (/ 1 (pow x 2)))))
(+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x)))
(* -1 (+ 1/8 (* 1/16 (/ 1 (pow x 2)))))
(+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x)))
-1/8
#s(literal -1/8 binary32)
(* -1 (+ 1/8 (* 1/16 (/ 1 (pow x 2)))))
(+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x)))
(* -1 (+ 1/8 (* 1/16 (/ 1 (pow x 2)))))
(+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x)))
(* -1 (+ 1/8 (* 1/16 (/ 1 (pow x 2)))))
(+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (*.f32 x x)))
(+ (log -1/2) (* -1 (log x)))
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 x))
(+ (log -1/2) (+ (* -2 (pow x 2)) (* -1 (log x))))
(+.f32 (-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 x)) (.f32 (.f32 x x) #s(literal -2 binary32)))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -2 (pow x 2)) 2))))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (-.f32 (.f32 (.f32 x x) (+.f32 #s(literal -2 binary32) (.f32 (.f32 x x) #s(literal -2 binary32)))) (log.f32 x)))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -8/3 (pow x 2)) 2)) 2))))
(+.f32 (-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 x)) (.f32 (.f32 x x) (+.f32 #s(literal -2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -2 binary32) (.f32 x (.f32 x #s(literal -8/3 binary32))))))))
(* -1 (log (/ 1 x)))
(log.f32 x)
(- (* -1 (log (/ 1 x))) (* 1/2 (/ 1 (pow x 2))))
(+.f32 (log.f32 x) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))
(+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))
(+.f32 (log.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) (.f32 x x)))
(- (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/8 (* 1/24 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))
(+.f32 (-.f32 (log.f32 x) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/24 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(- (+ (log -1) (* -1 (log (/ -1 x)))) (* 1/2 (/ 1 (pow x 2))))
(+.f32 (log.f32 #s(literal -1 binary32)) (-.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (.f32 x x))) (.f32 x x)) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/8 (* 1/24 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/2 (/ 1 (pow x 2))))
(+.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (-.f32 (/.f32 #s(literal -1/2 binary32) (.f32 x x)) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/24 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x))))))
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ (- (pow x 2) 1/2) x)
(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
(/ (- (pow x 2) 1/2) x)
(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
(/ (- (pow x 2) 1/2) x)
(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
x
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(+.f32 x (/.f32 #s(literal -1/2 binary32) x))
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(+ (log -1/8) (* -3 (log x)))
(+.f32 (log.f32 #s(literal -1/8 binary32)) (*.f32 (log.f32 x) #s(literal -3 binary32)))
(+ (log -1/8) (+ (* -3 (log x)) (* 4 (pow x 2))))
(+.f32 (log.f32 #s(literal -1/8 binary32)) (+.f32 (.f32 (log.f32 x) #s(literal -3 binary32)) (.f32 (*.f32 x x) #s(literal 4 binary32))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* -24 (pow x 2))))))
(+.f32 (+.f32 (log.f32 #s(literal -1/8 binary32)) (.f32 (log.f32 x) #s(literal -3 binary32))) (.f32 (.f32 x x) (+.f32 #s(literal 4 binary32) (.f32 x (*.f32 x #s(literal -24 binary32))))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 256/3 (pow x 2)) 24))))))
(+.f32 (+.f32 (log.f32 #s(literal -1/8 binary32)) (.f32 (log.f32 x) #s(literal -3 binary32))) (.f32 x (.f32 x (+.f32 #s(literal 4 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -24 binary32) (.f32 (*.f32 x x) #s(literal 256/3 binary32))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
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(* (pow x 2) (- (+ 4 (/ 1/4 (pow x 4))) (* 2 (/ 1 (pow x 2)))))
(+.f32 #s(literal -2 binary32) (.f32 x (.f32 x (+.f32 #s(literal 4 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 x (.f32 x (*.f32 x x))))))))
(* (pow x 2) (- (+ 4 (/ 1/4 (pow x 4))) (* 2 (/ 1 (pow x 2)))))
(+.f32 #s(literal -2 binary32) (.f32 x (.f32 x (+.f32 #s(literal 4 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 x (.f32 x (*.f32 x x))))))))
(+ (log -1/16) (* -5 (log x)))
(+.f32 (log.f32 #s(literal -1/16 binary32)) (*.f32 #s(literal -5 binary32) (log.f32 x)))
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))
(+.f32 (log.f32 #s(literal -1/16 binary32)) (+.f32 (.f32 #s(literal -5 binary32) (log.f32 x)) (.f32 #s(literal 2 binary32) (*.f32 x x))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))
(+.f32 (+.f32 (log.f32 #s(literal -1/16 binary32)) (.f32 #s(literal -5 binary32) (log.f32 x))) (.f32 (.f32 x x) (+.f32 #s(literal 2 binary32) (.f32 (*.f32 x x) #s(literal 6 binary32)))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))
(+.f32 (.f32 #s(literal -5 binary32) (log.f32 x)) (+.f32 (log.f32 #s(literal -1/16 binary32)) (.f32 (.f32 x x) (+.f32 #s(literal 2 binary32) (.f32 x (.f32 x (+.f32 #s(literal 6 binary32) (.f32 (*.f32 x x) #s(literal -136/3 binary32)))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 3/32 binary32) (.f32 x x))) (.f32 x x)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (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 -2) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (log.f32 #s(literal -2 binary32)) (-.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f32 (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -3/32 binary32) (.f32 x x))) (.f32 x x)) (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (/.f32 (+.f32 #s(literal -3/32 binary32) (/.f32 #s(literal -5/96 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))) (+.f32 (log.f32 #s(literal -2 binary32)) (-.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))))
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x))
(/ (- (* 2 (pow x 2)) 1/2) x)
(+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x))
(/ (- (* 2 (pow x 2)) 1/2) x)
(+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(/ -1/16 (pow x 2))
(/.f32 #s(literal -1/16 binary32) (*.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(/ -1/8 (pow x 3))
(/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x)))
(/ -1/8 (pow x 3))
(/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x)))
(/ -1/8 (pow x 3))
(/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x)))
(/ -1/8 (pow x 3))
(/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x)))
(/ -1/8 (pow x 3))
(/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x)))
(/ -1/8 (pow x 3))
(/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x)))
(/ -1/8 (pow x 3))
(/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x)))
(/ -1/8 (pow x 3))
(/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x)))
(/ -1/8 (pow x 3))
(/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x)))
(/ -1/8 (pow x 3))
(/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x)))
(/ -1/8 (pow x 3))
(/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x)))
(/ -1/8 (pow x 3))
(/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x)))
(/ -1/16 (pow x 6))
(/.f32 #s(literal -1/16 binary32) (.f32 (.f32 x (.f32 x (.f32 x (*.f32 x x)))) x))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 x (.f32 x #s(literal -1/8 binary32)))) (.f32 (.f32 x (.f32 x (.f32 x (*.f32 x x)))) x))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 x (.f32 x #s(literal -1/8 binary32)))) (.f32 (.f32 x (.f32 x (.f32 x (*.f32 x x)))) x))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 x (.f32 x #s(literal -1/8 binary32)))) (.f32 (.f32 x (.f32 x (.f32 x (*.f32 x x)))) x))
(/ -1/8 (pow x 4))
(/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x (*.f32 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))
(/ -1/8 (pow x 4))
(/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x (*.f32 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))
(+ (log -1/16) (* -5 (log x)))
(+.f32 (log.f32 #s(literal -1/16 binary32)) (*.f32 #s(literal -5 binary32) (log.f32 x)))
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))
(+.f32 (log.f32 #s(literal -1/16 binary32)) (+.f32 (.f32 #s(literal -5 binary32) (log.f32 x)) (.f32 #s(literal 2 binary32) (*.f32 x x))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))
(+.f32 (+.f32 (log.f32 #s(literal -1/16 binary32)) (.f32 #s(literal -5 binary32) (log.f32 x))) (.f32 (.f32 x x) (+.f32 #s(literal 2 binary32) (.f32 (*.f32 x x) #s(literal 6 binary32)))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))
(+.f32 (.f32 #s(literal -5 binary32) (log.f32 x)) (+.f32 (log.f32 #s(literal -1/16 binary32)) (.f32 (.f32 x x) (+.f32 #s(literal 2 binary32) (.f32 x (.f32 x (+.f32 #s(literal 6 binary32) (.f32 (*.f32 x x) #s(literal -136/3 binary32)))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 3/32 binary32) (.f32 x x))) (.f32 x x)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (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 -2) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (log.f32 #s(literal -2 binary32)) (-.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f32 (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -3/32 binary32) (.f32 x x))) (.f32 x x)) (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (/.f32 (+.f32 #s(literal -3/32 binary32) (/.f32 #s(literal -5/96 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))) (+.f32 (log.f32 #s(literal -2 binary32)) (-.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))))

eval333.0ms (2.2%)

Memory: 26.3MiB live, 615.5MiB allocated
Compiler: Compiled 116 782 to 5 514 computations (95.3% saved)

prune268.0ms (1.8%)

Memory

3.9MiB live, 643.6MiB allocated

Pruning

21 alts after pruning (12 fresh and 9 done)

	Pruned	Kept	Total
New	1 999	8	2 007
Fresh	2	4	6
Picked	3	2	5
Done	1	7	8
Total	2 005	21	2 026

Accuracy

100.0%

Counts

2 026 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.9%	(-.f32 (log.f32 (.f32 (+.f32 (.f32 x (.f32 x (.f32 x x))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (+.f32 (.f32 x x) #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 x (pow.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) #s(literal 1/2 binary32)))))) (log.f32 (+.f32 (.f32 x x) (+.f32 (.f32 x x) #s(literal -1 binary32)))))
	99.2%	(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (+.f32 x (/.f32 (/.f32 #s(literal -1/2 binary32) 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))))))))))
	54.2%	(log.f32 (/.f32 (/.f32 (+.f32 x (/.f32 (/.f32 #s(literal -1/2 binary32) x) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) x)) x))
	53.8%	(log.f32 (/.f32 (-.f32 (neg.f32 (.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x #s(literal 2 binary32))))) (neg.f32 (/.f32 (.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x)))) (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x)))))))) (neg.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (/.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)))))
	98.4%	(log.f32 (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))))) x) (.f32 x (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 x (/.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))))) (.f32 x #s(literal 2 binary32)))))))
	98.4%	(log.f32 (/.f32 (+.f32 x (/.f32 (/.f32 #s(literal -1/2 binary32) 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 binary32) (+.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))))))))
	18.2%	(log.f32 (/.f32 (+.f32 #s(literal -1/16 binary32) (.f32 x (.f32 x (+.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x (+.f32 (.f32 #s(literal 2 binary32) (.f32 x x)) #s(literal -1/2 binary32)))))))) (.f32 x (.f32 x (.f32 x (.f32 x x))))))
	34.3%	(log.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x))) (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x))) (.f32 (.f32 x (.f32 x x)) #s(literal 8 binary32))) (+.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) #s(literal -1 binary32))))))
✓	98.4%	(log.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x x))) (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x #s(literal 2 binary32)))))
✓	98.2%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (+.f32 (/.f32 #s(literal -1/8 binary32) (.f32 x (.f32 x x))) (*.f32 x #s(literal 2 binary32)))))
	98.4%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 (/.f32 x (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))))) (-.f32 #s(literal 4 binary32) (/.f32 (.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x)))) (.f32 (.f32 x (.f32 x (.f32 x x))) (.f32 x (.f32 x (*.f32 x x)))))))))
✓	98.4%	(log.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) (.f32 x (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x))))))))
	98.2%	(log.f32 (+.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x) x) x))
✓	97.6%	(log.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x) x))
✓	98.2%	(log.f32 (+.f32 (.f32 x #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x x))) x)))
✓	97.6%	(log.f32 (+.f32 (*.f32 x #s(literal 2 binary32)) (/.f32 #s(literal -1/2 binary32) x)))
✓	55.0%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
	55.0%	(log.f32 (+.f32 x (sqrt.f32 (+.f32 (+.f32 (+.f32 x #s(literal -1 binary32)) (*.f32 x x)) (neg.f32 x)))))
✓	55.0%	(log.f32 (+.f32 x (sqrt.f32 (+.f32 (+.f32 x #s(literal -1 binary32)) (*.f32 x (+.f32 x #s(literal -1 binary32)))))))
✓	95.8%	(log.f32 (+.f32 x x))
	43.8%	(log.f32 x)

Compiler

Compiled 1 682 to 516 computations (69.3% saved)

regimes36.0ms (0.2%)

Memory

-16.1MiB live, 98.2MiB allocated

Counts

36 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

11.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
11.0ms	x
9.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))

Results

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

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes7.0ms (0%)

Memory

20.9MiB live, 20.9MiB allocated

Counts

20 → 1

Calls

Call 1

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

Outputs

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
98.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0%)

Memory

-22.4MiB live, 15.5MiB allocated

Counts

13 → 1

Calls

Call 1

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

Outputs

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
98.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Memory

13.6MiB live, 13.6MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Memory

13.5MiB live, 13.5MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Memory

-28.6MiB live, 12.7MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
98.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

11.0MiB live, 10.9MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
97.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
95.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(log.f32 x)

Outputs
(log.f32 x)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
43.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify13.0ms (0.1%)

Memory

1.0MiB live, 39.5MiB allocated

Algorithm

1×	egg-herbie

Rules

46×	`+-commutative_binary32`
26×	`*-commutative_binary32`
20×	`sub-neg_binary32`
16×	`neg-sub0_binary32`
16×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	149
1	80	149
2	96	149
3	114	149
4	128	149
5	134	149
6	135	149

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness4.1s (27.5%)

Memory

-5.3MiB live, 5 027.5MiB allocated

Rules

13 240×	`accelerator-lowering-fma.f32`
13 240×	`accelerator-lowering-fma.f64`
12 254×	`accelerator-lowering-fma.f32`
12 254×	`accelerator-lowering-fma.f64`
10 778×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	327	2966
1	860	2860
2	2248	2735
3	5845	2696
0	8244	2565
0	40	326
1	296	310
2	3490	304
0	8748	268
0	30	146
1	186	126
2	2079	126
0	8120	118
0	150	559
1	411	533
2	1147	526
3	3325	488
4	7968	488
0	8520	459
0	359	2945
1	955	2840
2	2618	2706
3	7936	2706
0	8204	2582
0	233	1848
1	608	1746
2	1602	1715
3	4172	1680
0	8150	1615
0	44	372
1	315	254
2	3549	254
0	8191	229

Stop Event

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

Compiler

Compiled 238 to 115 computations (51.7% saved)

preprocess70.0ms (0.5%)

Memory: -13.8MiB live, 64.8MiB allocated
Compiler: Compiled 346 to 136 computations (60.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample374.0ms (2.5%)

preprocess631.0ms (4.2%)

explain103.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify657.0ms (4.4%)

localize23.0ms (0.2%)

series23.0ms (0.2%)

rewrite770.0ms (5.1%)

simplify423.0ms (2.8%)

eval90.0ms (0.6%)

prune98.0ms (0.7%)

simplify284.0ms (1.9%)

localize139.0ms (0.9%)

series168.0ms (1.1%)

rewrite1.5s (9.7%)

simplify441.0ms (2.9%)

eval190.0ms (1.3%)

prune372.0ms (2.5%)

simplify310.0ms (2.1%)

localize238.0ms (1.6%)

series13.0ms (0.1%)

rewrite419.0ms (2.8%)

simplify549.0ms (3.6%)

eval142.0ms (0.9%)

prune141.0ms (0.9%)

simplify497.0ms (3.3%)

localize276.0ms (1.8%)

series31.0ms (0.2%)

rewrite786.0ms (5.2%)

simplify535.0ms (3.5%)

eval333.0ms (2.2%)

prune268.0ms (1.8%)

regimes36.0ms (0.2%)

regimes7.0ms (0%)

regimes7.0ms (0%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes8.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify13.0ms (0.1%)

soundness4.1s (27.5%)

preprocess70.0ms (0.5%)

end0.0ms (0%)

Profiling