Metrics for Rust f32::acosh

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample468.0ms (5.6%)

Memory

-10.0MiB live, 740.4MiB allocated

Samples

305.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 170.0ms

ival-acosh: 115.0ms (67.8% of total)

ival->=: 46.0ms (27.1% of total)

exact: 6.0ms (3.5% of total)

ival-assert: 3.0ms (1.8% of total)

Bogosity

preprocess659.0ms (7.9%)

Memory

16.9MiB live, 820.3MiB allocated

Algorithm

1×	egg-herbie

Rules

29 894×	`lower-fma.f64`
29 894×	`lower-fma.f32`
4 210×	`lower-*.f64`
4 208×	`lower-*.f32`
2 884×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	10	7
2	14	7
3	17	7
4	21	7
5	28	7
6	35	7
0	7	9
0	12	9
1	21	9
2	25	9
3	40	9
4	71	9
5	132	9
6	292	9
7	572	9
8	2045	9
9	3155	9
10	4433	9
11	5106	9
12	5408	9
13	5593	9
14	5695	9
15	6014	9
16	6560	9
17	7671	9
0	8091	8

Stop Event

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

Calls

Call 1

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

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

explain96.0ms (1.2%)

Memory

18.2MiB live, 213.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
129	-	-	`(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))`
4	-	-	`(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	129	0
↳	`(*.f32 x x)`	overflow	129
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	129
`log.f32`	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`	oflow-rescue	4	0
↳	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`	overflow	4
↳	`(*.f32 x x)`	overflow	129
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	129

Confusion

	Predicted +	Predicted -
+	129	0
-	0	127

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	129	0	0
-	0	0	127

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	127
1	125
2	4

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

31.0ms

512×

valid

Compiler

Compiled 90 to 32 computations (64.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-log: 5.0ms (26.4% of total)

ival-add: 4.0ms (21.1% of total)

ival-mult: 3.0ms (15.8% of total)

ival-sqrt: 3.0ms (15.8% of total)

ival-sub: 2.0ms (10.6% 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: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.8%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify940.0ms (11.3%)

Memory

-29.2MiB live, 723.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

29 894×	`lower-fma.f64`
29 894×	`lower-fma.f32`
4 210×	`lower-*.f64`
4 208×	`lower-*.f32`
2 884×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	33
0	12	33
1	21	33
2	25	33
3	40	33
4	71	33
5	132	33
6	292	33
7	572	33
8	2045	33
9	3155	33
10	4433	33
11	5106	33
12	5408	33
13	5593	33
14	5695	33
15	6014	33
16	6560	33
17	7671	33
0	8091	29

Stop Event

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

Calls

Call 1

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

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

localize23.0ms (0.3%)

Memory

30.9MiB live, 31.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f32 (*.f32 x x) #s(literal 1 binary32))
✓	accuracy	99.9%	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
✓	accuracy	98.5%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	accuracy	56.6%	(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: 2.0ms (23.3% of total)

ival-mult: 2.0ms (23.3% of total)

ival-sqrt: 2.0ms (23.3% of total)

ival-sub: 1.0ms (11.7% of total)

ival-add: 1.0ms (11.7% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (-.f32 (*.f32 x x) #s(literal 1 binary32))>
#<alt (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))>
#<alt (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))>
#<alt (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))>

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

Calls

12 calls:

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

rewrite524.0ms (6.3%)

Memory

-19.9MiB live, 560.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 994×	`lower-fma.f64`
4 994×	`lower-fma.f32`
3 230×	`lower-*.f64`
3 228×	`lower-*.f32`
2 612×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	28
0	12	28
1	49	28
2	322	28
3	3626	28
0	8646	24

Stop Event

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

Counts

4 → 320

Calls

Call 1

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

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

simplify396.0ms (4.8%)

Memory

-14.8MiB live, 501.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 204×	`lower-fma.f64`
10 204×	`lower-fma.f32`
3 650×	`lower-*.f64`
3 650×	`lower-*.f32`
2 854×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

Calls

Call 1

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

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

eval73.0ms (0.9%)

Memory: -2.9MiB live, 73.7MiB allocated
Compiler: Compiled 10 594 to 1 536 computations (85.5% saved)

prune52.0ms (0.6%)

Memory

10.5MiB live, 129.0MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	362	5	367
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	363	5	368

Accuracy

100.0%

Counts

368 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.1%	(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
▶	98.5%	(log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x))
▶	97.2%	(log.f32 (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)))
▶	52.8%	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
▶	95.5%	(log.f32 (*.f32 x #s(literal 2 binary32)))

Compiler

Compiled 80 to 60 computations (25% saved)

simplify614.0ms (7.4%)

Memory

11.7MiB live, 831.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

26 728×	`lower-fma.f64`
26 722×	`lower-fma.f32`
4 030×	`lower-*.f64`
4 028×	`lower-*.f32`
2 880×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	103
0	43	103
1	56	103
2	59	103
3	75	103
4	104	103
5	165	103
6	331	103
7	616	103
8	2203	103
9	3372	103
10	4699	103
11	5427	103
12	5803	103
13	5965	103
14	6073	103
15	6417	103
16	6970	103
17	7940	103
0	8027	103

Stop Event

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

Calls

Call 1

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

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

localize77.0ms (0.9%)

Memory

14.6MiB live, 145.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f32 x)
✓	accuracy	100.0%	(log.f32 #s(literal 2 binary32))
✓	accuracy	99.1%	(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
✓	accuracy	100.0%	(fma.f32 x x #s(literal -1 binary32))
✓	accuracy	99.9%	(+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x)
✓	accuracy	98.5%	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
✓	accuracy	56.6%	(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
✓	accuracy	100.0%	(fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x))
✓	accuracy	100.0%	(/.f32 #s(literal -1/2 binary32) x)
✓	accuracy	98.5%	(log.f32 (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)))
✓	accuracy	100.0%	(*.f32 x #s(literal 2 binary32))
✓	accuracy	98.5%	(log.f32 (*.f32 x #s(literal 2 binary32)))
✓	accuracy	100.0%	(sqrt.f32 (+.f32 x #s(literal 1 binary32)))
✓	accuracy	100.0%	(sqrt.f32 (+.f32 x #s(literal -1 binary32)))
✓	accuracy	99.8%	(fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x)
✓	accuracy	98.5%	(log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x))

Samples

51.0ms

256×

valid

Compiler

Compiled 113 to 27 computations (76.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-log: 13.0ms (33% of total)

ival-sqrt: 12.0ms (30.5% of total)

ival-add: 8.0ms (20.3% of total)

ival-mult: 4.0ms (10.2% of total)

ival-div: 2.0ms (5.1% of total)

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

exact: 0.0ms (0% of total)

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

series133.0ms (1.6%)

Memory

-15.5MiB live, 253.0MiB allocated

Counts

17 → 192

Calls

Call 1

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

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 (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x))))>
#<alt (+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))>
#<alt (+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))>
#<alt (+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))))>
#<alt (sqrt -1)>
#<alt (+ x (sqrt -1))>
#<alt (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))>
#<alt (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* x (- (pow (sqrt -1) 2) 1)))>
#<alt (* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1)))>
#<alt (* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* -1/8 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 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 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 (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (log (sqrt -1))>
#<alt (+ (log (sqrt -1)) (/ x (sqrt -1)))>
#<alt (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))>
#<alt (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -1/2) (log (/ -1 x)))>
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))>
#<alt (sqrt -1)>
#<alt (+ x (sqrt -1))>
#<alt (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))>
#<alt (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))>
#<alt (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))>
#<alt (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))>
#<alt -1>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))>
#<alt (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))>
#<alt (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))>
#<alt (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))>
#<alt (+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))>
#<alt (+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7))))))))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))>

Calls

48 calls:

Time	Variable		Point	Expression
38.0ms	x	@	-inf	(+ (log 2) (log x))
26.0ms	x	@	0	(log (* x 2))
21.0ms	x	@	0	(+ (log 2) (log x))
17.0ms	x	@	-inf	(log (* x 2))
8.0ms	x	@	inf	(log (* x 2))

rewrite453.0ms (5.5%)

Memory

-2.6MiB live, 608.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 686×	`lower-fma.f64`
11 680×	`lower-fma.f32`
4 912×	`lower-*.f64`
4 910×	`lower-*.f32`
3 254×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	88
0	43	93
1	145	81
2	1090	81
0	9100	81

Stop Event

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

Counts

17 → 724

Calls

Call 1

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

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

simplify590.0ms (7.1%)

Memory

0.9MiB live, 786.9MiB allocated

Algorithm

1×	egg-herbie

Rules

21 782×	`lower-fma.f64`
21 782×	`lower-fma.f32`
5 440×	`lower-*.f64`
5 440×	`lower-*.f32`
4 694×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	374	2192
1	1041	1854
2	3266	1831
0	8212	1749

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 189

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 (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* -1 (* x (- (pow (sqrt -1) 2) 1)))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1)))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))))
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 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 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))))
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/2 x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(log (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))))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(log x)
(log x)
(log x)
(log x)
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7))))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 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)))))
(fma.f32 x (fma.f32 x (*.f32 x (/.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(fma.f32 x (fma.f32 (.f32 x x) (fma.f32 #s(literal 3/40 binary32) (/.f32 (.f32 x x) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f32 (log.f32 #s(literal 2 binary32)) (-.f32 (log.f32 x) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 3/32 binary32) (.f32 x x))) (.f32 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal 3/32 binary32) (/.f32 #s(literal 5/96 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) (+.f32 (log.f32 x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
(+ (log (- (pow (sqrt -1) 2) 1)) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1))))))
(+.f32 (log.f32 #s(literal -2 binary32)) (+.f32 (/.f32 #s(literal -1/4 binary32) (.f32 x x)) (-.f32 (/.f32 #s(literal -3/32 binary32) (.f32 x (.f32 x (.f32 x x)))) (log.f32 (/.f32 #s(literal -1 binary32) x)))))
(+ (log (- (pow (sqrt -1) 2) 1)) (+ (* -1 (log (/ -1 x))) (+ (* -1/24 (/ (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 1)))) (* 3 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 2)))) (pow x 4))) (+ (* 1/720 (/ (+ (* 45 (/ 1 (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 1) 2)))) (+ (* 45 (/ 1 (* (pow (sqrt -1) 4) (- (pow (sqrt -1) 2) 1)))) (* 30 (/ 1 (pow (- (pow (sqrt -1) 2) 1) 3))))) (pow x 6))) (/ 1/2 (* (pow x 2) (- (pow (sqrt -1) 2) 1)))))))
(+.f32 (+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal -1/4 binary32) (.f32 x x))) (+.f32 (/.f32 #s(literal -3/32 binary32) (.f32 x (.f32 x (.f32 x x)))) (/.f32 (fma.f32 #s(literal 1/720 binary32) (/.f32 #s(literal -45/2 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) #s(literal -1/48 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))))))
(fma.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(fma.f32 x (fma.f32 x (fma.f32 x (*.f32 x (/.f32 #s(literal 1/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))
(* 2 x)
(+.f32 x x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f32 x (fma.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x) x))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(.f32 x (-.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))
(* -1 (* x (- (pow (sqrt -1) 2) 1)))
(+.f32 x x)
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) 1)))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))
(* -1 (* x (- (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2)) (+ 1 (/ 1/8 (* (pow x 4) (pow (sqrt -1) 2)))))))
(.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 x (.f32 x (*.f32 x x)))))) (neg.f32 x))
(* -1 (* x (- (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ 1 (pow x 2))) (pow (sqrt -1) 2))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 2))))))))
(neg.f32 (.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 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
#s(literal 1 binary32)
(+ 1 (* 1/2 x))
(fma.f32 x #s(literal 1/2 binary32) #s(literal 1 binary32))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(fma.f32 x (fma.f32 x #s(literal -1/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(fma.f32 x (fma.f32 x (fma.f32 x #s(literal 1/16 binary32) #s(literal -1/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(sqrt x)
(sqrt.f32 x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(.f32 x (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(.f32 x (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(.f32 x (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) (fma.f32 #s(literal 1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f32 x)
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(.f32 x (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(.f32 x (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(.f32 (fma.f32 #s(literal 1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) (fma.f32 #s(literal 1/16 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))))) (neg.f32 x))
1
#s(literal 1 binary32)
(+ 1 x)
(+.f32 x #s(literal 1 binary32))
(+ 1 x)
(+.f32 x #s(literal 1 binary32))
(+ 1 x)
(+.f32 x #s(literal 1 binary32))
x
(* x (+ 1 (/ 1 x)))
(+.f32 x #s(literal 1 binary32))
(* x (+ 1 (/ 1 x)))
(+.f32 x #s(literal 1 binary32))
(* x (+ 1 (/ 1 x)))
(+.f32 x #s(literal 1 binary32))
x
(* x (+ 1 (/ 1 x)))
(+.f32 x #s(literal 1 binary32))
(* x (+ 1 (/ 1 x)))
(+.f32 x #s(literal 1 binary32))
(* x (+ 1 (/ 1 x)))
(+.f32 x #s(literal 1 binary32))
(* 2 x)
(+.f32 x x)
(* 2 x)
(+.f32 x x)
(* 2 x)
(+.f32 x x)
(* 2 x)
(+.f32 x x)
(* 2 x)
(+.f32 x x)
(* 2 x)
(+.f32 x x)
(* 2 x)
(+.f32 x x)
(* 2 x)
(+.f32 x x)
(* 2 x)
(+.f32 x x)
(* 2 x)
(+.f32 x x)
(* 2 x)
(+.f32 x x)
(* 2 x)
(+.f32 x x)
(+ (log 2) (log x))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (log x))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (log x))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (log x))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -1/2) (* -1 (log x)))
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 x))
(+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))
(fma.f32 x (*.f32 x #s(literal -4 binary32)) (-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 x)))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))
(fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal -8 binary32) #s(literal -4 binary32))) (-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 x)))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))
(fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 (*.f32 x x) #s(literal -64/3 binary32) #s(literal -8 binary32))) #s(literal -4 binary32)) (-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 x)))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/32 binary32) (.f32 x x))) (.f32 x x)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (log.f32 x) (+.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal 1/32 binary32) (/.f32 #s(literal 1/192 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(-.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/32 binary32) (.f32 x x))) (.f32 x x)))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (.f32 x x)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (-.f32 (log.f32 #s(literal -2 binary32)) (/.f32 (+.f32 #s(literal 1/32 binary32) (/.f32 #s(literal 1/192 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x))))))
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/.f32 (fma.f32 x (+.f32 x x) #s(literal -1/2 binary32)) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/.f32 (fma.f32 x (+.f32 x x) #s(literal -1/2 binary32)) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/.f32 (fma.f32 x (+.f32 x x) #s(literal -1/2 binary32)) x)
(* 2 x)
(+.f32 x x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))
(* 2 x)
(+.f32 x x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ -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 (sqrt -1))
(log.f32 (sqrt.f32 #s(literal -1 binary32)))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 x (sqrt.f32 #s(literal -1 binary32))))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(fma.f32 x (fma.f32 x (*.f32 x (/.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(fma.f32 x (fma.f32 (.f32 x x) (fma.f32 #s(literal 3/40 binary32) (/.f32 (.f32 x x) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f32 (log.f32 #s(literal 2 binary32)) (-.f32 (log.f32 x) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 3/32 binary32) (.f32 x x))) (.f32 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal 3/32 binary32) (/.f32 #s(literal 5/96 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) (+.f32 (log.f32 x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
(+ (log -1/2) (log (/ -1 x)))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) 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 #s(literal -1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 3/32 binary32) (.f32 x (.f32 x (.f32 x x)))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x (.f32 x (.f32 x x)))) (+.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))) (log.f32 #s(literal -1/2 binary32))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ x (sqrt -1))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) x)
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(fma.f32 x (fma.f32 x (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(fma.f32 x (fma.f32 x (fma.f32 x (*.f32 x (/.f32 #s(literal 1/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))
(* 2 x)
(+.f32 x x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(.f32 x (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f32 x (fma.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x) x))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(.f32 x (-.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))
(/ 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))) (neg.f32 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 (+.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 5/128 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x)))) x)
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f32 x (.f32 x (fma.f32 x (.f32 x (/.f32 #s(literal 1/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))))) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/16 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 x (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x)
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(fma.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x) x)
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 x (+.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (neg.f32 (.f32 x (.f32 x (.f32 x x))))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) x)
(* -1 x)
(neg.f32 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (neg.f32 x))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(neg.f32 (fma.f32 #s(literal 1 binary32) (/.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 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 x x))) (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1/16 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))) (neg.f32 x))
-1
#s(literal -1 binary32)
(- (pow x 2) 1)
(fma.f32 x x #s(literal -1 binary32))
(- (pow x 2) 1)
(fma.f32 x x #s(literal -1 binary32))
(- (pow x 2) 1)
(fma.f32 x x #s(literal -1 binary32))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(.f32 x (fma.f32 x (/.f32 #s(literal -1 binary32) (.f32 x x)) x))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(.f32 x (fma.f32 x (/.f32 #s(literal -1 binary32) (.f32 x x)) x))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(.f32 x (fma.f32 x (/.f32 #s(literal -1 binary32) (.f32 x x)) x))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(.f32 x (fma.f32 x (/.f32 #s(literal -1 binary32) (.f32 x x)) x))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(.f32 x (fma.f32 x (/.f32 #s(literal -1 binary32) (.f32 x x)) x))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(.f32 x (fma.f32 x (/.f32 #s(literal -1 binary32) (.f32 x x)) x))
(+ (log 2) (log x))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (log x))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (log x))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (log x))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+.f32 (log.f32 #s(literal 2 binary32)) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+.f32 (log.f32 #s(literal 2 binary32)) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+.f32 (log.f32 #s(literal 2 binary32)) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))
(+.f32 (log.f32 #s(literal 2 binary32)) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(log x)
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))
(fma.f32 x (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f32 x (fma.f32 x (/.f32 #s(literal 1/8 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f32 x (fma.f32 x (fma.f32 x (/.f32 #s(literal 1/16 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))
(sqrt x)
(sqrt.f32 x)
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))
(.f32 x (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))
(.f32 x (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7))))))))
(.f32 x (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) #s(literal -1/16 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f32 x)
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(.f32 x (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(.f32 x (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(.f32 x (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) (fma.f32 #s(literal 1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))))

eval95.0ms (1.1%)

Memory: -3.7MiB live, 202.2MiB allocated
Compiler: Compiled 18 539 to 2 780 computations (85% saved)

prune101.0ms (1.2%)

Memory

28.2MiB live, 300.4MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	910	3	913
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	911	7	918

Accuracy

100.0%

Counts

918 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.1%	(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
✓	98.5%	(log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x))
✓	97.2%	(log.f32 (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)))
▶	44.1%	(log.f32 (fma.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x))
▶	51.2%	(log.f32 (/.f32 (fma.f32 x (+.f32 x x) #s(literal -1/2 binary32)) x))
✓	52.8%	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
▶	95.5%	(log.f32 (+.f32 x x))

Compiler

Compiled 59 to 42 computations (28.8% saved)

simplify6.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f32 x #s(literal -1 binary32))
✓	cost-diff	0	(sqrt.f32 (+.f32 x #s(literal -1 binary32)))
✓	cost-diff	0	(log.f32 (fma.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x))
✓	cost-diff	96	(fma.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x)
✓	cost-diff	0	(+.f32 x x)
✓	cost-diff	0	(fma.f32 x (+.f32 x x) #s(literal -1/2 binary32))
✓	cost-diff	0	(/.f32 (fma.f32 x (+.f32 x x) #s(literal -1/2 binary32)) x)
✓	cost-diff	0	(log.f32 (/.f32 (fma.f32 x (+.f32 x x) #s(literal -1/2 binary32)) x))
✓	cost-diff	0	(+.f32 x x)
✓	cost-diff	0	(log.f32 (+.f32 x x))

Rules

24×	`lower-+.f64`
20×	`lower-+.f32`
18×	`lower-*.f64`
18×	`lower-fma.f64`
18×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	61
0	24	59
1	36	59
2	44	59
3	46	59
0	46	59

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize102.0ms (1.2%)

Memory

-12.3MiB live, 104.9MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f32 x #s(literal -1 binary32))
✓	accuracy	100.0%	(log.f32 (fma.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x))
✓	accuracy	100.0%	(fma.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x)
✓	accuracy	100.0%	(sqrt.f32 (+.f32 x #s(literal -1 binary32)))
✓	accuracy	100.0%	(fma.f32 x (+.f32 x x) #s(literal -1/2 binary32))
✓	accuracy	100.0%	(+.f32 x x)
✓	accuracy	98.5%	(log.f32 (/.f32 (fma.f32 x (+.f32 x x) #s(literal -1/2 binary32)) x))
✓	accuracy	57.3%	(/.f32 (fma.f32 x (+.f32 x x) #s(literal -1/2 binary32)) x)
✓	accuracy	100.0%	(+.f32 x x)
✓	accuracy	98.5%	(log.f32 (+.f32 x x))

Samples

61.0ms

256×

valid

Compiler

Compiled 68 to 17 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-log: 40.0ms (76.7% of total)

ival-add: 5.0ms (9.6% of total)

ival-mult: 3.0ms (5.8% of total)

ival-div: 2.0ms (3.8% of total)

ival-sqrt: 2.0ms (3.8% of total)

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

exact: 0.0ms (0% of total)

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

series28.0ms (0.3%)

Memory

-17.1MiB live, 61.7MiB allocated

Counts

9 → 108

Calls

Call 1

Inputs
#<alt (log.f32 (+.f32 x x))>
#<alt (+.f32 x x)>
#<alt (log.f32 (/.f32 (fma.f32 x (+.f32 x x) #s(literal -1/2 binary32)) x))>
#<alt (/.f32 (fma.f32 x (+.f32 x x) #s(literal -1/2 binary32)) x)>
#<alt (fma.f32 x (+.f32 x x) #s(literal -1/2 binary32))>
#<alt (fma.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x)>
#<alt (log.f32 (fma.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x))>
#<alt (sqrt.f32 (+.f32 x #s(literal -1 binary32)))>
#<alt (+.f32 x #s(literal -1 binary32))>

Outputs
#<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 -1/2>
#<alt (- (* 2 (pow x 2)) 1/2)>
#<alt (- (* 2 (pow x 2)) 1/2)>
#<alt (- (* 2 (pow x 2)) 1/2)>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ 1 (sqrt -1))))))>
#<alt (+ (sqrt -1) (* x (+ 1 (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))>
#<alt (+ (sqrt -1) (* x (+ 1 (+ (* 1/2 (/ 1 (sqrt -1))) (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3)))))))))>
#<alt (* x (+ 1 (sqrt (/ 1 x))))>
#<alt (* x (+ 1 (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))))>
#<alt (* x (+ 1 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5))))))))>
#<alt (* x (+ 1 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7)))))))))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)))>
#<alt (* -1 (* x (- (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt (* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) 1)))>
#<alt (log (sqrt -1))>
#<alt (+ (log (sqrt -1)) (* x (+ (/ 1 (sqrt -1)) (* 1/2 (/ 1 (pow (sqrt -1) 2))))))>
#<alt (+ (log (sqrt -1)) (* x (+ (* 1/2 (* x (- (* -1 (/ (pow (+ 1 (* 1/2 (/ 1 (sqrt -1)))) 2) (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 4)))))) (+ (* 1/2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (sqrt -1))))))>
#<alt (+ (log (sqrt -1)) (* x (+ (* 1/2 (/ 1 (pow (sqrt -1) 2))) (+ (* x (+ (* 1/6 (* x (+ (* 3/4 (/ (+ 1 (* 1/2 (/ 1 (sqrt -1)))) (pow (sqrt -1) 5))) (+ (* 2 (/ (pow (+ 1 (* 1/2 (/ 1 (sqrt -1)))) 3) (pow (sqrt -1) 3))) (* 3/8 (/ 1 (pow (sqrt -1) 6))))))) (* 1/2 (- (* -1 (/ (pow (+ 1 (* 1/2 (/ 1 (sqrt -1)))) 2) (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 4))))))) (/ 1 (sqrt -1))))))>
#<alt (+ (log (+ 1 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (+ 1 (sqrt (/ 1 x)))) (+ (* -1 (log (/ 1 x))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (+ 1 (sqrt (/ 1 x))))))))>
#<alt (+ (log (+ 1 (sqrt (/ 1 x)))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (+ 1 (sqrt (/ 1 x)))))) (* 1/24 (/ (- (* -3 (* (sqrt (pow x 3)) (/ 1 (+ 1 (sqrt (/ 1 x)))))) (* 3 (/ x (pow (+ 1 (sqrt (/ 1 x))) 2)))) (pow x 4))))))>
#<alt (+ (log (+ 1 (sqrt (/ 1 x)))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (+ 1 (sqrt (/ 1 x)))))) (+ (* 1/720 (/ (- (+ (* -45 (* (sqrt (pow x 5)) (/ 1 (+ 1 (sqrt (/ 1 x)))))) (* -30 (* (sqrt (pow x 3)) (/ 1 (pow (+ 1 (sqrt (/ 1 x))) 3))))) (* 45 (/ (pow x 2) (pow (+ 1 (sqrt (/ 1 x))) 2)))) (pow x 6))) (* 1/24 (/ (- (* -3 (* (sqrt (pow x 3)) (/ 1 (+ 1 (sqrt (/ 1 x)))))) (* 3 (/ x (pow (+ 1 (sqrt (/ 1 x))) 2)))) (pow x 4)))))))>
#<alt (+ (log (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)) (* -1 (log (/ -1 x))))>
#<alt (+ (log (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1))))))>
#<alt (+ (log (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)) (+ (* -1 (log (/ -1 x))) (+ (* 1/24 (/ (+ (* -3 (* (sqrt (pow x 3)) (/ (pow (sqrt -1) 2) (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)))) (* 3 (/ (* x (pow (sqrt -1) 2)) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1) 2)))) (pow x 4))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)))))))>
#<alt (+ (log (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)) (+ (* -1 (log (/ -1 x))) (+ (* 1/720 (/ (+ (* 30 (* (sqrt (pow x 3)) (/ (pow (sqrt -1) 4) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1) 3)))) (+ (* 45 (* (sqrt (pow x 5)) (/ (pow (sqrt -1) 2) (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)))) (* 45 (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1) 2))))) (pow x 6))) (+ (* 1/24 (/ (+ (* -3 (* (sqrt (pow x 3)) (/ (pow (sqrt -1) 2) (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)))) (* 3 (/ (* x (pow (sqrt -1) 2)) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1) 2)))) (pow x 4))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1))))))))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))>
#<alt (+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))>
#<alt (+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7))))))))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>

Calls

27 calls:

Time	Variable		Point	Expression
9.0ms	x	@	inf	(log (+ x x))
8.0ms	x	@	-inf	(log (+ x x))
4.0ms	x	@	-inf	(log (+ (* 1 (sqrt (+ x -1))) x))
1.0ms	x	@	inf	(log (+ (* 1 (sqrt (+ x -1))) x))
1.0ms	x	@	0	(log (+ (* 1 (sqrt (+ x -1))) x))

rewrite49.0ms (0.6%)

Memory

28.9MiB live, 105.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

248×	`lower-/.f64`
246×	`lower-/.f32`
244×	`lower-fma.f64`
240×	`lower-fma.f32`
230×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	52
0	24	50
1	91	47
0	627	44

Stop Event

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

Counts

9 → 124

Calls

Call 1

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

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

simplify505.0ms (6.1%)

Memory

-38.4MiB live, 730.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10 872×	`lower-fma.f64`
10 872×	`lower-fma.f32`
4 610×	`lower-+.f64`
4 610×	`lower-+.f32`
3 630×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	310	1769
1	854	1523
2	2728	1481
3	7310	1455
0	8305	1375

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 106

Calls

Call 1

Inputs
(+ (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)))
-1/2
(- (* 2 (pow x 2)) 1/2)
(- (* 2 (pow x 2)) 1/2)
(- (* 2 (pow x 2)) 1/2)
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(sqrt -1)
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))
(+ (sqrt -1) (* x (+ 1 (+ (* 1/2 (/ 1 (sqrt -1))) (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3)))))))))
(* x (+ 1 (sqrt (/ 1 x))))
(* x (+ 1 (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ 1 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5))))))))
(* x (+ 1 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7)))))))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)))
(* -1 (* x (- (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 1)))
(* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) 1)))
(log (sqrt -1))
(+ (log (sqrt -1)) (* x (+ (/ 1 (sqrt -1)) (* 1/2 (/ 1 (pow (sqrt -1) 2))))))
(+ (log (sqrt -1)) (* x (+ (* 1/2 (* x (- (* -1 (/ (pow (+ 1 (* 1/2 (/ 1 (sqrt -1)))) 2) (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 4)))))) (+ (* 1/2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (sqrt -1))))))
(+ (log (sqrt -1)) (* x (+ (* 1/2 (/ 1 (pow (sqrt -1) 2))) (+ (* x (+ (* 1/6 (* x (+ (* 3/4 (/ (+ 1 (* 1/2 (/ 1 (sqrt -1)))) (pow (sqrt -1) 5))) (+ (* 2 (/ (pow (+ 1 (* 1/2 (/ 1 (sqrt -1)))) 3) (pow (sqrt -1) 3))) (* 3/8 (/ 1 (pow (sqrt -1) 6))))))) (* 1/2 (- (* -1 (/ (pow (+ 1 (* 1/2 (/ 1 (sqrt -1)))) 2) (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 4))))))) (/ 1 (sqrt -1))))))
(+ (log (+ 1 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))
(+ (log (+ 1 (sqrt (/ 1 x)))) (+ (* -1 (log (/ 1 x))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (+ 1 (sqrt (/ 1 x))))))))
(+ (log (+ 1 (sqrt (/ 1 x)))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (+ 1 (sqrt (/ 1 x)))))) (* 1/24 (/ (- (* -3 (* (sqrt (pow x 3)) (/ 1 (+ 1 (sqrt (/ 1 x)))))) (* 3 (/ x (pow (+ 1 (sqrt (/ 1 x))) 2)))) (pow x 4))))))
(+ (log (+ 1 (sqrt (/ 1 x)))) (+ (* -1 (log (/ 1 x))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (+ 1 (sqrt (/ 1 x)))))) (+ (* 1/720 (/ (- (+ (* -45 (* (sqrt (pow x 5)) (/ 1 (+ 1 (sqrt (/ 1 x)))))) (* -30 (* (sqrt (pow x 3)) (/ 1 (pow (+ 1 (sqrt (/ 1 x))) 3))))) (* 45 (/ (pow x 2) (pow (+ 1 (sqrt (/ 1 x))) 2)))) (pow x 6))) (* 1/24 (/ (- (* -3 (* (sqrt (pow x 3)) (/ 1 (+ 1 (sqrt (/ 1 x)))))) (* 3 (/ x (pow (+ 1 (sqrt (/ 1 x))) 2)))) (pow x 4)))))))
(+ (log (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)) (* -1 (log (/ -1 x))))
(+ (log (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)) (+ (* -1 (log (/ -1 x))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1))))))
(+ (log (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)) (+ (* -1 (log (/ -1 x))) (+ (* 1/24 (/ (+ (* -3 (* (sqrt (pow x 3)) (/ (pow (sqrt -1) 2) (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)))) (* 3 (/ (* x (pow (sqrt -1) 2)) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1) 2)))) (pow x 4))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)))))))
(+ (log (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)) (+ (* -1 (log (/ -1 x))) (+ (* 1/720 (/ (+ (* 30 (* (sqrt (pow x 3)) (/ (pow (sqrt -1) 4) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1) 3)))) (+ (* 45 (* (sqrt (pow x 5)) (/ (pow (sqrt -1) 2) (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)))) (* 45 (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1) 2))))) (pow x 6))) (+ (* 1/24 (/ (+ (* -3 (* (sqrt (pow x 3)) (/ (pow (sqrt -1) 2) (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)))) (* 3 (/ (* x (pow (sqrt -1) 2)) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1) 2)))) (pow x 4))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1))))))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7))))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))

Outputs
(+ (log 2) (log x))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (log x))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (log x))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (log x))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -2 binary32)) (neg.f32 (log.f32 (neg.f32 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -2 binary32)) (neg.f32 (log.f32 (neg.f32 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -2 binary32)) (neg.f32 (log.f32 (neg.f32 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -2 binary32)) (neg.f32 (log.f32 (neg.f32 x))))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
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(fma.f32 (fma.f32 x (/.f32 #s(literal -3 binary32) (.f32 (-.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))) (.f32 (sqrt.f32 (.f32 x (.f32 x x))) (/.f32 #s(literal 3 binary32) (-.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))))) (/.f32 #s(literal 1/24 binary32) (pow.f32 x #s(literal 4 binary32))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))) (-.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) (-.f32 (log.f32 (-.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) (neg.f32 (log.f32 (neg.f32 x))))))
(+ (log (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)) (+ (* -1 (log (/ -1 x))) (+ (* 1/720 (/ (+ (* 30 (* (sqrt (pow x 3)) (/ (pow (sqrt -1) 4) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1) 3)))) (+ (* 45 (* (sqrt (pow x 5)) (/ (pow (sqrt -1) 2) (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)))) (* 45 (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1) 2))))) (pow x 6))) (+ (* 1/24 (/ (+ (* -3 (* (sqrt (pow x 3)) (/ (pow (sqrt -1) 2) (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)))) (* 3 (/ (* x (pow (sqrt -1) 2)) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1) 2)))) (pow x 4))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1))))))))
(fma.f32 (fma.f32 (sqrt.f32 (.f32 x (.f32 x x))) (/.f32 (.f32 #s(literal 30 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) (.f32 (-.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))) (.f32 (-.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))))) (.f32 #s(literal 45 binary32) (.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) (fma.f32 x (/.f32 x (-.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) (sqrt.f32 (pow.f32 x #s(literal 5 binary32))))))) (/.f32 #s(literal 1/720 binary32) (pow.f32 x #s(literal 6 binary32))) (fma.f32 (fma.f32 x (/.f32 #s(literal -3 binary32) (.f32 (-.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))) (.f32 (sqrt.f32 (.f32 x (.f32 x x))) (/.f32 #s(literal 3 binary32) (-.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))))) (/.f32 #s(literal 1/24 binary32) (pow.f32 x #s(literal 4 binary32))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))) (-.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) (-.f32 (log.f32 (-.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) (neg.f32 (log.f32 (neg.f32 x)))))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f32 x (fma.f32 x (/.f32 #s(literal 1/8 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f32 x (fma.f32 x (fma.f32 x (/.f32 #s(literal 1/16 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 #s(literal 1/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))
(sqrt x)
(sqrt.f32 x)
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))
(.f32 x (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))
(.f32 x (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))) (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7))))))))
(.f32 x (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))) (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) (fma.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f32 x)
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(neg.f32 (.f32 (neg.f32 x) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))) (fma.f32 #s(literal 1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x))))) (neg.f32 x))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))) (fma.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))) (fma.f32 #s(literal 1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))))) (neg.f32 x))
-1
#s(literal -1 binary32)
(- x 1)
(+.f32 x #s(literal -1 binary32))
(- x 1)
(+.f32 x #s(literal -1 binary32))
(- x 1)
(+.f32 x #s(literal -1 binary32))
x
(* x (- 1 (/ 1 x)))
(+.f32 x #s(literal -1 binary32))
(* x (- 1 (/ 1 x)))
(+.f32 x #s(literal -1 binary32))
(* x (- 1 (/ 1 x)))
(+.f32 x #s(literal -1 binary32))
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f32 x #s(literal -1 binary32))
(* -1 (* x (- (/ 1 x) 1)))
(+.f32 x #s(literal -1 binary32))
(* -1 (* x (- (/ 1 x) 1)))
(+.f32 x #s(literal -1 binary32))

eval51.0ms (0.6%)

Memory: 27.5MiB live, 66.5MiB allocated
Compiler: Compiled 3 900 to 742 computations (81% saved)

prune43.0ms (0.5%)

Memory

1.8MiB live, 82.9MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	262	1	263
Fresh	0	0	0
Picked	1	2	3
Done	0	4	4
Total	263	7	270

Accuracy

100.0%

Counts

270 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.1%	(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
✓	98.5%	(log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x))
✓	97.2%	(log.f32 (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)))
▶	44.3%	(log.f32 (fma.f32 #s(literal 1 binary32) (sqrt.f32 x) x))
✓	51.2%	(log.f32 (/.f32 (fma.f32 x (+.f32 x x) #s(literal -1/2 binary32)) x))
✓	52.8%	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
✓	95.5%	(log.f32 (+.f32 x x))

Compiler

Compiled 57 to 40 computations (29.8% saved)

simplify4.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f32 x)
✓	cost-diff	0	(log.f32 (fma.f32 #s(literal 1 binary32) (sqrt.f32 x) x))
✓	cost-diff	96	(fma.f32 #s(literal 1 binary32) (sqrt.f32 x) x)

Rules

4×	`lower-*.f64`
4×	`lower-fma.f64`
4×	`lower-+.f64`
4×	`lower-*.f32`
4×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	9	13
1	14	13
2	15	13
0	15	13

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(log.f32 (fma.f32 #s(literal 1 binary32) (sqrt.f32 x) x))
(fma.f32 #s(literal 1 binary32) (sqrt.f32 x) x)
#s(literal 1 binary32)
(sqrt.f32 x)
x

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

localize59.0ms (0.7%)

Memory

-3.1MiB live, 36.5MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f32 x)
✓	accuracy	100.0%	(log.f32 (fma.f32 #s(literal 1 binary32) (sqrt.f32 x) x))
✓	accuracy	99.9%	(fma.f32 #s(literal 1 binary32) (sqrt.f32 x) x)

Samples

52.0ms

256×

valid

Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-log: 2.0ms (26.4% of total)

ival-mult: 2.0ms (26.4% of total)

ival-sqrt: 2.0ms (26.4% of total)

ival-add: 1.0ms (13.2% of total)

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

exact: 0.0ms (0% of total)

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

series43.0ms (0.5%)

Memory

-4.4MiB live, 34.8MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs
#<alt (fma.f32 #s(literal 1 binary32) (sqrt.f32 x) x)>
#<alt (log.f32 (fma.f32 #s(literal 1 binary32) (sqrt.f32 x) x))>
#<alt (sqrt.f32 x)>

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

Calls

9 calls:

Time	Variable		Point	Expression
26.0ms	x	@	inf	(log (+ (* 1 (sqrt x)) x))
15.0ms	x	@	-inf	(log (+ (* 1 (sqrt x)) x))
0.0ms	x	@	-inf	(+ (* 1 (sqrt x)) x)
0.0ms	x	@	0	(log (+ (* 1 (sqrt x)) x))
0.0ms	x	@	inf	(+ (* 1 (sqrt x)) x)

rewrite1.1s (13.8%)

Memory

-5.6MiB live, 392.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 256×	`lower-fma.f64`
8 254×	`lower-fma.f32`
3 918×	`lower-/.f64`
3 918×	`lower-/.f32`
3 004×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
0	9	11
1	30	11
2	169	11
3	1486	11
0	8314	11

Stop Event

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

Counts

3 → 270

Calls

Call 1

Inputs
(fma.f32 #s(literal 1 binary32) (sqrt.f32 x) x)
(log.f32 (fma.f32 #s(literal 1 binary32) (sqrt.f32 x) x))
(sqrt.f32 x)

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

simplify323.0ms (3.9%)

Memory

-4.3MiB live, 223.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 098×	`lower-fma.f64`
7 098×	`lower-fma.f32`
2 376×	`lower-*.f64`
2 376×	`lower-*.f32`
1 666×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	266
1	96	242
2	201	238
3	502	229
4	1415	225
5	2950	225
6	5309	225
7	6628	225
8	7275	225
0	8081	205

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

Inputs
(sqrt x)
(+ x (sqrt x))
(+ x (sqrt x))
(+ x (sqrt x))
(* x (+ 1 (sqrt (/ 1 x))))
(* x (+ 1 (sqrt (/ 1 x))))
(* x (+ 1 (sqrt (/ 1 x))))
(* x (+ 1 (sqrt (/ 1 x))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)))
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)))
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)))
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)))
(log (sqrt x))
(+ (log (sqrt x)) (sqrt x))
(+ (log (sqrt x)) (* x (- (sqrt (/ 1 x)) 1/2)))
(+ (log (sqrt x)) (* x (+ (sqrt (/ 1 x)) (* x (- (* 1/3 (sqrt (/ 1 x))) (* 1/2 (/ 1 x)))))))
(+ (log (+ 1 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))
(+ (log (+ 1 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))
(+ (log (+ 1 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))
(+ (log (+ 1 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))
(+ (log (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)) (* -1 (log (/ -1 x))))
(+ (log (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)) (* -1 (log (/ -1 x))))
(+ (log (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)) (* -1 (log (/ -1 x))))
(+ (log (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1)) (* -1 (log (/ -1 x))))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))

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

eval55.0ms (0.7%)

Memory: 20.3MiB live, 64.1MiB allocated
Compiler: Compiled 8 067 to 896 computations (88.9% saved)

prune56.0ms (0.7%)

Memory

-0.5MiB live, 114.8MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	304	2	306
Fresh	0	0	0
Picked	1	0	1
Done	0	6	6
Total	305	8	313

Accuracy

100.0%

Counts

313 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.1%	(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
✓	98.5%	(log.f32 (fma.f32 (sqrt.f32 (+.f32 x #s(literal 1 binary32))) (sqrt.f32 (+.f32 x #s(literal -1 binary32))) x))
✓	97.2%	(log.f32 (fma.f32 x #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) x)))
✓	51.2%	(log.f32 (/.f32 (fma.f32 x (+.f32 x x) #s(literal -1/2 binary32)) x))
✓	52.8%	(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
	44.3%	(log.f32 (+.f32 (sqrt.f32 x) x))
✓	95.5%	(log.f32 (+.f32 x x))
	27.9%	(log.f32 (sqrt.f32 x))

Compiler

Compiled 140 to 83 computations (40.7% saved)

regimes14.0ms (0.2%)

Memory

-10.9MiB live, 30.9MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
4.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
4.0ms	x

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
98.5%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory

25.8MiB live, 25.8MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.2%	1	`x`
97.2%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
97.2%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

-15.7MiB live, 23.6MiB allocated

Accuracy

Total -21.7b remaining (-1503.6%)

Threshold costs -21.7b (-1503.6%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
2.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
2.0ms	x

Results

Accuracy	Segments	Branch
95.5%	1	`x`
95.5%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
95.5%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

simplify6.0ms (0.1%)

Memory

15.6MiB live, 15.6MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary32`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	22
1	21	22

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

soundness438.0ms (5.3%)

Memory

-35.1MiB live, 369.9MiB allocated

Rules

21 782×	`lower-fma.f64`
21 782×	`lower-fma.f32`
10 204×	`lower-fma.f64`
10 204×	`lower-fma.f32`
5 440×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	559
1	411	533
2	1143	526
3	3327	488
4	7966	488
0	8526	459
0	374	2192
1	1041	1854
2	3266	1831
0	8212	1749
0	7	28
0	12	28
1	49	28
2	322	28
3	3626	28
0	8646	24

Stop Event

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

Compiler

Compiled 60 to 43 computations (28.3% saved)

preprocess65.0ms (0.8%)

Memory: 25.2MiB live, 103.4MiB allocated
Compiler: Compiled 92 to 64 computations (30.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample468.0ms (5.6%)

preprocess659.0ms (7.9%)

explain96.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify940.0ms (11.3%)

localize23.0ms (0.3%)

series5.0ms (0.1%)

rewrite524.0ms (6.3%)

simplify396.0ms (4.8%)

eval73.0ms (0.9%)

prune52.0ms (0.6%)

simplify614.0ms (7.4%)

localize77.0ms (0.9%)

series133.0ms (1.6%)

rewrite453.0ms (5.5%)

simplify590.0ms (7.1%)

eval95.0ms (1.1%)

prune101.0ms (1.2%)

simplify6.0ms (0.1%)

localize102.0ms (1.2%)

series28.0ms (0.3%)

rewrite49.0ms (0.6%)

simplify505.0ms (6.1%)

eval51.0ms (0.6%)

prune43.0ms (0.5%)

simplify4.0ms (0.1%)

localize59.0ms (0.7%)

series43.0ms (0.5%)

rewrite1.1s (13.8%)

simplify323.0ms (3.9%)

eval55.0ms (0.7%)

prune56.0ms (0.7%)

regimes14.0ms (0.2%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

simplify6.0ms (0.1%)

soundness438.0ms (5.3%)

preprocess65.0ms (0.8%)

end0.0ms (0%)

Profiling