Metrics for Rust f32::atanh

analyze1.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.6%	0.4%	0%	0%	0%	0
0%	0%	99.6%	0.4%	0%	0%	0%	1
0%	0%	99.6%	0.4%	0%	0%	0%	2
0%	0%	49.8%	0.4%	0%	49.8%	0%	3
50%	24.9%	24.9%	0.4%	0%	49.8%	0%	4
75%	37.4%	12.5%	0.4%	0%	49.8%	0%	5
87.5%	43.6%	6.2%	0.4%	0%	49.8%	0%	6
93.8%	46.7%	3.1%	0.4%	0%	49.8%	0%	7
96.9%	48.2%	1.6%	0.4%	0%	49.8%	0%	8
98.4%	49%	0.8%	0.4%	0%	49.8%	0%	9
99.2%	49.4%	0.4%	0.4%	0%	49.8%	0%	10
99.6%	49.4%	0.2%	0.4%	0%	50%	0%	11
99.8%	49.5%	0.1%	0.4%	0%	50%	0%	12

Compiler

Compiled 4 to 4 computations (0% saved)

sample475.0ms (5.4%)

Memory

10.6MiB live, 718.0MiB allocated

Samples

238.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 129.0ms

ival-atanh: 122.0ms (94.4% of total)

ival-true: 5.0ms (3.9% of total)

ival-assert: 3.0ms (2.3% of total)

Bogosity

preprocess33.0ms (0.4%)

Memory

-20.9MiB live, 42.8MiB allocated

Algorithm

1×	egg-herbie

Rules

124×	`lower-fma.f64`
124×	`lower-fma.f32`
88×	`lower-*.f64`
84×	`lower-*.f32`
76×	`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	9	10
0	15	10
1	24	10
2	31	10
3	37	10
4	44	10
5	58	10
6	96	10
7	163	10
8	221	10
9	249	10
10	260	10
11	270	10
12	270	10
0	270	10

Stop Event

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

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))

Outputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))

explain143.0ms (1.6%)

Memory

26.7MiB live, 183.7MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 1 binary32)`
-	-	`#s(literal 2 binary32)`
-	-	`#s(literal 1/2 binary32)`
-	-	`(-.f32 #s(literal 1 binary32) x)`
-	-	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`
-	-	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
-	-	`(*.f32 #s(literal 2 binary32) x)`
-	-	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

77.0ms

512×

valid

Compiler

Compiled 104 to 40 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-mult: 53.0ms (81.7% of total)

ival-div: 4.0ms (6.2% of total)

ival-log1p: 4.0ms (6.2% of total)

ival-sub: 3.0ms (4.6% of total)

exact: 1.0ms (1.5% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify39.0ms (0.4%)

Memory

-17.1MiB live, 22.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f32 #s(literal 2 binary32) x)
✓	cost-diff	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
✓	cost-diff	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
✓	cost-diff	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))

Rules

124×	`lower-fma.f64`
124×	`lower-fma.f32`
88×	`lower-*.f64`
84×	`lower-*.f32`
76×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
0	15	35
1	24	35
2	31	35
3	37	35
4	44	35
5	58	35
6	96	35
7	163	35
8	221	35
9	249	35
10	260	35
11	270	35
12	270	35
0	270	35

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
#s(literal 1/2 binary32)
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
(*.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
x
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)

Outputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
#s(literal 1/2 binary32)
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
(*.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
x
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)

localize39.0ms (0.4%)

Memory

22.9MiB live, 62.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f32 #s(literal 2 binary32) x)
✓	accuracy	100.0%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
✓	accuracy	99.9%	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
✓	accuracy	99.8%	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))

Samples

28.0ms

256×

valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

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

ival-mult: 17.0ms (77.5% of total)

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

ival-log1p: 2.0ms (9.1% of total)

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

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

exact: 0.0ms (0% of total)

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

series26.0ms (0.3%)

Memory

-26.3MiB live, 12.3MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))>
#<alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))>
#<alt (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))>
#<alt (*.f32 #s(literal 2 binary32) x)>

Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/2 (log -1))>
#<alt (+ (* 1/2 (log -1)) (/ 1 x))>
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))>
#<alt (* 1/2 (log -1))>
#<alt (+ (* 1/2 (log -1)) (/ 1 x))>
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))>
#<alt (log -1)>
#<alt (+ (log -1) (* 2 (/ 1 x)))>
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))>
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))>
#<alt (log -1)>
#<alt (+ (log -1) (* 2 (/ 1 x)))>
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))>
#<alt (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2 x)))>
#<alt (* x (+ 2 (* x (+ 2 (* 2 x)))))>
#<alt (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))>
#<alt -2>
#<alt (* -1 (+ 2 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))>
#<alt -2>
#<alt (* -1 (+ 2 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)>
#<alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>

Calls

12 calls:

Time	Variable		Point	Expression
22.0ms	x	@	inf	(* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x)))))
1.0ms	x	@	0	(* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x)))))
1.0ms	x	@	-inf	(* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x)))))
0.0ms	x	@	-inf	(* 2 x)
0.0ms	x	@	inf	(* 2 x)

rewrite434.0ms (5%)

Memory

2.5MiB live, 314.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 286×	`lower-fma.f64`
4 286×	`lower-fma.f32`
3 506×	`lower-*.f64`
3 502×	`lower-*.f32`
2 126×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
0	15	28
1	54	28
2	404	28
3	5595	28
0	8636	28

Stop Event

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

Counts

4 → 162

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
(*.f32 #s(literal 2 binary32) x)

Outputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32))))
(.f32 (log1p.f32 (.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32))) #s(literal 1/2 binary32))
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal 1 binary32))))
(log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32)))
(neg.f32 (neg.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32)))))
(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 1 binary32))) #s(literal 1 binary32))))
(neg.f32 (log.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -1 binary32)) (+.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32)))) #s(literal -1 binary32)))))
(+.f32 #s(literal 0 binary32) (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32))))
(+.f32 (log1p.f32 (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal 8 binary32)) (.f32 (+.f32 x #s(literal 1 binary32)) (.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32)))))) (neg.f32 (log1p.f32 (.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) (fma.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 4 binary32) #s(literal 2 binary32))))))
(+.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))) (neg.f32 (log1p.f32 (.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32)))))
(+.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32))) #s(literal 0 binary32))
(+.f32 (neg.f32 (log1p.f32 (.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32)))) (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))))
(+.f32 (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32)))))) (log.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 1 binary32))))))
(+.f32 (log.f32 (+.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32)))) #s(literal -1 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -1 binary32)))))
(+.f32 (neg.f32 (log1p.f32 (.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) (fma.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 4 binary32) #s(literal 2 binary32))))) (log1p.f32 (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal 8 binary32)) (.f32 (+.f32 x #s(literal 1 binary32)) (.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32)))))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))) (fma.f32 #s(literal 8 binary32) (/.f32 (.f32 x (.f32 x x)) (.f32 (+.f32 x #s(literal 1 binary32)) (.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32))))) #s(literal 1 binary32)))) (log1p.f32 (.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) (fma.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 4 binary32) #s(literal 2 binary32)))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))))) (log1p.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))) #s(literal 1 binary32))) (neg.f32 (log1p.f32 (.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -2 binary32)))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))) (fma.f32 #s(literal 8 binary32) (/.f32 (.f32 x (.f32 x x)) (.f32 (+.f32 x #s(literal 1 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32))))) #s(literal -1 binary32)))) (log.f32 (neg.f32 (fma.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) (fma.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 4 binary32) #s(literal 2 binary32)) #s(literal 1 binary32)))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal -1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32))))))) (log.f32 (neg.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 1 binary32)))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))))) (+.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32)))) #s(literal -1 binary32)))) (log.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -1 binary32))))
(+.f32 (log.f32 (/.f32 (fma.f32 #s(literal 8 binary32) (/.f32 (.f32 x (.f32 x x)) (.f32 (+.f32 x #s(literal 1 binary32)) (.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32))))) #s(literal 1 binary32)) (fma.f32 (.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) (fma.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 4 binary32) #s(literal 2 binary32))) (.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32)))) (.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -1 binary32)) (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -1 binary32)))) #s(literal 1 binary32)))) (log1p.f32 (.f32 (.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) (fma.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 4 binary32) #s(literal 2 binary32))) (-.f32 (*.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) (fma.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 4 binary32) #s(literal 2 binary32))) #s(literal 1 binary32)))))
(+.f32 (log.f32 (/.f32 (fma.f32 #s(literal 8 binary32) (/.f32 (.f32 x (.f32 x x)) (.f32 (+.f32 x #s(literal 1 binary32)) (.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32))))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32)))) (.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -1 binary32)) (fma.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal -1 binary32))))))) (log1p.f32 (neg.f32 (.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) (fma.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) #s(literal 4 binary32) #s(literal 2 binary32))))))
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(*.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal 1 binary32))))
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(.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (+.f32 #s(literal -1 binary32) (*.f32 x x))) (+.f32 x #s(literal -1 binary32)))
(neg.f32 (*.f32 x #s(literal -2 binary32)))
(-.f32 #s(literal 0 binary32) (*.f32 x #s(literal -2 binary32)))
(*.f32 #s(literal 2 binary32) x)
(*.f32 x #s(literal 2 binary32))
(.f32 (.f32 #s(literal 2 binary32) x) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) x))
(*.f32 (neg.f32 x) #s(literal -2 binary32))
(.f32 #s(literal -1 binary32) (.f32 x #s(literal -2 binary32)))
(*.f32 #s(literal -2 binary32) (neg.f32 x))

simplify805.0ms (9.2%)

Memory

5.6MiB live, 367.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 938×	`lower-fma.f64`
12 938×	`lower-fma.f32`
3 522×	`lower-*.f64`
3 522×	`lower-*.f32`
2 748×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	404
1	312	390
2	798	382
3	2146	380
4	4029	380
5	6487	380
0	8272	358

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)

Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)))))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(+.f32 (/.f32 #s(literal 1 binary32) x) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x))) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x (.f32 x (.f32 x x))))))))
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (/.f32 #s(literal 1 binary32) x) (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (.f32 x x))) x))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2/3 (pow x 2))))
(.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(.f32 x (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (.f32 x (.f32 x x)))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x)) (+.f32 (/.f32 #s(literal 2/3 binary32) (.f32 x (.f32 x x))) (/.f32 #s(literal 2/5 binary32) (.f32 x (.f32 x (.f32 x (.f32 x x)))))))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (.f32 x (.f32 x x)))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -2/3 binary32) (/.f32 #s(literal -2/5 binary32) (.f32 x x))) (.f32 x x)) #s(literal -2 binary32)) x))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2 x)))
(*.f32 x (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(*.f32 x (fma.f32 x (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 2 binary32)))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(.f32 (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32)) (fma.f32 x (.f32 x x) x))
-2
#s(literal -2 binary32)
(* -1 (+ 2 (* 2 (/ 1 x))))
(+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(+.f32 (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x)) x) #s(literal -2 binary32))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (.f32 x x))))
-2
#s(literal -2 binary32)
(* -1 (+ 2 (* 2 (/ 1 x))))
(+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(+.f32 (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x)) x) #s(literal -2 binary32))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (.f32 x x))))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))

eval56.0ms (0.6%)

Memory: 9.5MiB live, 48.5MiB allocated
Compiler: Compiled 5 004 to 805 computations (83.9% saved)

prune60.0ms (0.7%)

Memory

15.6MiB live, 94.0MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	202	7	209
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	202	8	210

Accuracy

100.0%

Counts

210 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(fma.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)
▶	98.6%	(fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
▶	98.0%	(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
	98.8%	(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))
	98.6%	(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))
▶	98.0%	(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
▶	96.3%	(.f32 #s(literal 1/2 binary32) (.f32 x #s(literal 2 binary32)))
✓	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))

Compiler

Compiled 203 to 127 computations (37.4% saved)

simplify689.0ms (7.9%)

Memory

-1.1MiB live, 922.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f32 x (.f32 x x))
✓	cost-diff	0	(*.f32 x x)
✓	cost-diff	0	(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
✓	cost-diff	0	(fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
✓	cost-diff	0	(*.f32 x #s(literal 2/3 binary32))
✓	cost-diff	0	(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
✓	cost-diff	0	(.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
✓	cost-diff	160	(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
✓	cost-diff	0	(*.f32 x x)
✓	cost-diff	0	(.f32 x (.f32 x x))
✓	cost-diff	0	(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
✓	cost-diff	0	(*.f32 x #s(literal 2 binary32))
✓	cost-diff	320	(.f32 #s(literal 1/2 binary32) (.f32 x #s(literal 2 binary32)))
✓	cost-diff	0	(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
✓	cost-diff	0	(*.f32 x x)
✓	cost-diff	0	(fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
✓	cost-diff	0	(fma.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)

Rules

30 892×	`lower-fma.f64`
30 878×	`lower-fma.f32`
6 880×	`lower-+.f64`
6 880×	`lower-+.f32`
4 112×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	140
0	44	120
1	92	120
2	201	120
3	419	120
4	1703	120
5	2668	120
6	3676	120
7	3742	120
8	3742	120
9	3742	120
10	3766	120
11	4822	120
12	4838	120
13	4874	120
14	4890	120
15	4890	120
16	4978	120
17	5020	120
18	5021	120
19	5021	120
0	8019	120

Stop Event

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

Calls

Call 1

Inputs
(fma.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)
(fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(*.f32 x x)
x
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
(*.f32 x #s(literal 1/7 binary32))
#s(literal 1/7 binary32)
#s(literal 1/5 binary32)
#s(literal 1/3 binary32)
(.f32 x (.f32 x x))
(.f32 #s(literal 1/2 binary32) (.f32 x #s(literal 2 binary32)))
#s(literal 1/2 binary32)
(*.f32 x #s(literal 2 binary32))
x
#s(literal 2 binary32)
(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
#s(literal 1/3 binary32)
(.f32 x (.f32 x x))
x
(*.f32 x x)
(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
#s(literal 1/2 binary32)
(.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
x
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
(*.f32 x #s(literal 2/3 binary32))
#s(literal 2/3 binary32)
#s(literal 2 binary32)
(fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
(*.f32 x x)
x
#s(literal 1/5 binary32)
#s(literal 1/3 binary32)
(.f32 x (.f32 x x))

Outputs
(fma.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)
(fma.f32 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)
(fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
(*.f32 x x)
x
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
(*.f32 x #s(literal 1/7 binary32))
#s(literal 1/7 binary32)
#s(literal 1/5 binary32)
#s(literal 1/3 binary32)
(.f32 x (.f32 x x))
(.f32 #s(literal 1/2 binary32) (.f32 x #s(literal 2 binary32)))
x
#s(literal 1/2 binary32)
(*.f32 x #s(literal 2 binary32))
x
#s(literal 2 binary32)
(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
(fma.f32 (.f32 x x) (.f32 x #s(literal 1/3 binary32)) x)
#s(literal 1/3 binary32)
(.f32 x (.f32 x x))
x
(*.f32 x x)
(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
(fma.f32 (.f32 x x) (.f32 x #s(literal 1/3 binary32)) x)
#s(literal 1/2 binary32)
(.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
x
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
(*.f32 x #s(literal 2/3 binary32))
#s(literal 2/3 binary32)
#s(literal 2 binary32)
(fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
(fma.f32 (.f32 x (.f32 x x)) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) x)
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
(*.f32 x x)
x
#s(literal 1/5 binary32)
#s(literal 1/3 binary32)
(.f32 x (.f32 x x))

localize90.0ms (1%)

Memory

-3.2MiB live, 190.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
✓	accuracy	100.0%	(*.f32 x x)
✓	accuracy	99.9%	(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
✓	accuracy	99.7%	(.f32 x (.f32 x x))
✓	accuracy	100.0%	(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
✓	accuracy	100.0%	(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
✓	accuracy	99.9%	(.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
✓	accuracy	99.0%	(*.f32 x #s(literal 2/3 binary32))
✓	accuracy	100.0%	(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
✓	accuracy	100.0%	(*.f32 x x)
✓	accuracy	99.7%	(.f32 x (.f32 x x))
✓	accuracy	100.0%	(*.f32 x #s(literal 2 binary32))
✓	accuracy	100.0%	(.f32 #s(literal 1/2 binary32) (.f32 x #s(literal 2 binary32)))
✓	accuracy	100.0%	(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
✓	accuracy	99.9%	(fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
✓	accuracy	99.7%	(.f32 x (.f32 x x))
✓	accuracy	98.3%	(*.f32 x #s(literal 1/7 binary32))

Samples

56.0ms

256×

valid

Compiler

Compiled 155 to 31 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 21.0ms (49.6% of total)

const: 13.0ms (30.7% of total)

ival-add: 7.0ms (16.5% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.2%)

Memory

-14.7MiB live, 28.2MiB allocated

Counts

15 → 180

Calls

Call 1

Inputs
#<alt (fma.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)>
#<alt (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))>
#<alt (*.f32 x x)>
#<alt (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))>
#<alt (.f32 #s(literal 1/2 binary32) (.f32 x #s(literal 2 binary32)))>
#<alt (*.f32 x #s(literal 2 binary32))>
#<alt (fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)>
#<alt (.f32 x (.f32 x x))>
#<alt (.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))>
#<alt (.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))>
#<alt (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))>
#<alt (*.f32 x #s(literal 2/3 binary32))>
#<alt (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)>
#<alt (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))>
#<alt (*.f32 x #s(literal 1/7 binary32))>

Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/5 (pow x 2)))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1/5>
#<alt (+ 1/5 (* 1/7 (pow x 2)))>
#<alt (+ 1/5 (* 1/7 (pow x 2)))>
#<alt (+ 1/5 (* 1/7 (pow x 2)))>
#<alt (* 1/7 (pow x 2))>
#<alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/7 (pow x 2))>
#<alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt 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 x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2/3 (pow x 2))))>
#<alt (* x (+ 2 (* 2/3 (pow x 2))))>
#<alt (* x (+ 2 (* 2/3 (pow x 2))))>
#<alt (* 2/3 (pow x 3))>
#<alt (* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* 2/3 (pow x 3))>
#<alt (* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt 2>
#<alt (+ 2 (* 2/3 (pow x 2)))>
#<alt (+ 2 (* 2/3 (pow x 2)))>
#<alt (+ 2 (* 2/3 (pow x 2)))>
#<alt (* 2/3 (pow x 2))>
#<alt (* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* 2/3 (pow x 2))>
#<alt (* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* 1/5 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/5 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/5 (pow x 2)))>
#<alt (+ 1/3 (* 1/5 (pow x 2)))>
#<alt (+ 1/3 (* 1/5 (pow x 2)))>
#<alt (* 1/5 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/5 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>
#<alt (* 1/7 x)>

Calls

45 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(+ (* x (* x 2/3)) 2)
1.0ms	x	@	-inf	(+ (* (* x x) (+ (* x (* x 1/7)) 1/5)) 1/3)
1.0ms	x	@	inf	(+ (* (+ (* (* x x) (+ (* x (* x 1/7)) 1/5)) 1/3) (* x (* x x))) x)
0.0ms	x	@	-inf	(+ (* (+ (* (* x x) (+ (* x (* x 1/7)) 1/5)) 1/3) (* x (* x x))) x)
0.0ms	x	@	0	(* 1/2 (* x (+ (* x (* x 2/3)) 2)))

rewrite510.0ms (5.8%)

Memory

3.0MiB live, 681.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 600×	`lower-fma.f64`
7 586×	`lower-fma.f32`
5 102×	`lower-*.f64`
5 086×	`lower-*.f32`
4 252×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	108
0	44	100
1	175	98
2	1247	95
0	8223	94

Stop Event

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

Counts

15 → 459

Calls

Call 1

Inputs
(fma.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)
(fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(*.f32 x x)
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
(.f32 #s(literal 1/2 binary32) (.f32 x #s(literal 2 binary32)))
(*.f32 x #s(literal 2 binary32))
(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
(.f32 x (.f32 x x))
(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
(.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
(*.f32 x #s(literal 2/3 binary32))
(fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
(*.f32 x #s(literal 1/7 binary32))

Outputs
(+.f32 x (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))))
(+.f32 (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))) x)
(+.f32 (/.f32 (.f32 (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))))) (fma.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) (neg.f32 x))) (neg.f32 (/.f32 (.f32 x x) (fma.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) (neg.f32 x)))))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) x)) #s(literal -1 binary32))
(fma.f32 x #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))))
(fma.f32 x (.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) x)
(fma.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) x)
(fma.f32 (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)
(fma.f32 (.f32 x (.f32 x x)) (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) x)
(fma.f32 #s(literal 1/2 binary32) (.f32 x #s(literal 2 binary32)) (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))))
(fma.f32 #s(literal 2 binary32) (.f32 x #s(literal 1/2 binary32)) (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))))
(fma.f32 (.f32 x #s(literal 2 binary32)) #s(literal 1/2 binary32) (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))))
(fma.f32 (.f32 (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) (neg.f32 x))) (neg.f32 (/.f32 (.f32 x x) (fma.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) (neg.f32 x)))))
(fma.f32 (.f32 x #s(literal 1/2 binary32)) #s(literal 2 binary32) (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))))
(fma.f32 (.f32 x (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) (.f32 x x) x)
(fma.f32 #s(literal 1 binary32) x (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))))
(fma.f32 (.f32 (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x x)) x x)
(fma.f32 (.f32 (.f32 x (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) x) x x)
(fma.f32 (.f32 (.f32 x (.f32 x x)) (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) (.f32 (.f32 x x) (.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))))) #s(literal 1/27 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x (.f32 (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) (.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))))) (-.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) (.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))))) x)
(fma.f32 (.f32 (.f32 x (.f32 x x)) (fma.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal -1/9 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal -1/3 binary32))) x)
(fma.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) (.f32 (.f32 x x) (.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))))) #s(literal 1/27 binary32)) (.f32 x (.f32 x x))) (/.f32 #s(literal 1 binary32) (fma.f32 x (.f32 (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) (.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))))) (-.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) (.f32 (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))))) x)
(fma.f32 (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal -1/9 binary32)) (.f32 x (.f32 x x))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal -1/3 binary32))) x)
(fma.f32 (pow.f32 x #s(literal 1/2 binary32)) (pow.f32 x #s(literal 1/2 binary32)) (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))))
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(/.f32 (neg.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/125 binary32)) #s(literal 1/27 binary32))) (neg.f32 (+.f32 #s(literal 1/9 binary32) (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/25 binary32)) (neg.f32 (.f32 (.f32 x x) #s(literal 1/15 binary32)))))))
(/.f32 (neg.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/25 binary32)) #s(literal -1/9 binary32))) (neg.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal -1/3 binary32))))
(/.f32 (-.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/25 binary32)))) (-.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))))
(/.f32 (-.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/25 binary32))) (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal -1/3 binary32))) (.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal -1/3 binary32)) #s(literal 1/9 binary32))) (.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal -1/3 binary32)) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal -1/3 binary32))))
(/.f32 (.f32 (fma.f32 (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/125 binary32))) (.f32 #s(literal 1/15625 binary32) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))))) #s(literal 1/19683 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 #s(literal 1/15625 binary32) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x)))) (-.f32 #s(literal 1/729 binary32) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) #s(literal 1/3375 binary32)))) (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/25 binary32)) (-.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 1/15 binary32))))))
(/.f32 (.f32 (fma.f32 #s(literal 1/15625 binary32) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x)))) #s(literal -1/729 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/125 binary32)) #s(literal -1/27 binary32)) (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/25 binary32)) (-.f32 #s(literal 1/9 binary32) (.f32 (*.f32 x x) #s(literal 1/15 binary32))))))
(/.f32 (.f32 (fma.f32 #s(literal 1/15625 binary32) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x)))) #s(literal -1/729 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 #s(literal 1/625 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (.f32 x x) (.f32 x x))) (+.f32 #s(literal 1/81 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) #s(literal 1/225 binary32)))) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal -1/3 binary32))))
(/.f32 (.f32 (fma.f32 #s(literal 1/625 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (.f32 x x) (.f32 x x))) #s(literal -1/81 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/25 binary32)) #s(literal 1/9 binary32)) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal -1/3 binary32))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/125 binary32)) #s(literal 1/27 binary32)))) (neg.f32 (neg.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/25 binary32)) (-.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) #s(literal 1/15 binary32)))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/25 binary32)) #s(literal -1/9 binary32)))) (neg.f32 (neg.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal -1/3 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/25 binary32))))) (neg.f32 (-.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))))
(/.f32 (-.f32 (pow.f32 (/.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/25 binary32))) (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal -1/3 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1/9 binary32) (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal -1/3 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/25 binary32))) (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal -1/3 binary32))) (/.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/25 binary32))) (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal -1/3 binary32))) (fma.f32 (/.f32 #s(literal 1/9 binary32) (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/9 binary32) (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal -1/3 binary32))) (.f32 (/.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/25 binary32))) (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/9 binary32) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal -1/3 binary32)))))))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/25 binary32))) (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal -1/3 binary32))) (/.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/25 binary32))) (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal -1/3 binary32)))) (.f32 (/.f32 #s(literal 1/9 binary32) (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/9 binary32) (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal -1/3 binary32))))) (+.f32 (/.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/25 binary32))) (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/9 binary32) (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal -1/3 binary32)))))
(.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/125 binary32)) #s(literal 1/27 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/25 binary32)) (-.f32 #s(literal 1/9 binary32) (.f32 (*.f32 x x) #s(literal 1/15 binary32))))))
(.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/125 binary32)) #s(literal 1/27 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/9 binary32) (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/25 binary32)) (neg.f32 (.f32 (*.f32 x x) #s(literal 1/15 binary32)))))))
(.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/25 binary32)) #s(literal -1/9 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal -1/3 binary32))))
(.f32 #s(literal 1 binary32) (fma.f32 x (.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))
(.f32 (neg.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/125 binary32)) #s(literal 1/27 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/25 binary32)) (-.f32 #s(literal 1/9 binary32) (.f32 (*.f32 x x) #s(literal 1/15 binary32)))))))
(.f32 (neg.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/25 binary32)) #s(literal -1/9 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal -1/3 binary32)))))
(.f32 (-.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/25 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32)))))
(*.f32 x #s(literal 1/7 binary32))
(*.f32 #s(literal 1/7 binary32) x)

simplify283.0ms (3.2%)

Memory

13.3MiB live, 534.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 896×	`lower-fma.f64`
10 896×	`lower-fma.f32`
3 342×	`lower-*.f64`
3 342×	`lower-*.f32`
2 126×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	1116
1	287	1068
2	771	1063
3	2209	1060
4	5673	1060
0	8301	980

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 164

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
1/3
(+ 1/3 (* 1/5 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1/5
(+ 1/5 (* 1/7 (pow x 2)))
(+ 1/5 (* 1/7 (pow x 2)))
(+ 1/5 (* 1/7 (pow x 2)))
(* 1/7 (pow x 2))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/7 (pow x 2))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
x
x
x
x
x
x
x
x
x
x
x
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)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* 2/3 (pow x 2))))
(* 2/3 (pow x 3))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* 2/3 (pow x 3))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
2
(+ 2 (* 2/3 (pow x 2)))
(+ 2 (* 2/3 (pow x 2)))
(+ 2 (* 2/3 (pow x 2)))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
1/3
(+ 1/3 (* 1/5 (pow x 2)))
(+ 1/3 (* 1/5 (pow x 2)))
(+ 1/3 (* 1/5 (pow x 2)))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)
(* 1/7 x)

Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 x (.f32 #s(literal 1/3 binary32) (.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 x (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) x)
(* 1/7 (pow x 7))
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 7 binary32)))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (*.f32 x x))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x))))))))
(* 1/7 (pow x 7))
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 7 binary32)))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (*.f32 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))
1/3
#s(literal 1/3 binary32)
(+ 1/3 (* 1/5 (pow x 2)))
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(* 1/7 (pow x 4))
(.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x (.f32 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(* 1/7 (pow x 4))
(.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x (.f32 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
1/5
#s(literal 1/5 binary32)
(+ 1/5 (* 1/7 (pow x 2)))
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
(+ 1/5 (* 1/7 (pow x 2)))
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
(+ 1/5 (* 1/7 (pow x 2)))
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
x
x
x
x
x
x
x
x
x
x
x
x
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 x (.f32 #s(literal 1/3 binary32) (.f32 x x)) x)
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 x (.f32 #s(literal 1/3 binary32) (.f32 x x)) x)
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 x (.f32 #s(literal 1/3 binary32) (.f32 x x)) x)
(* 1/3 (pow x 3))
(.f32 x (.f32 #s(literal 1/3 binary32) (*.f32 x x)))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 x (.f32 #s(literal 1/3 binary32) (.f32 x x)) x)
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 x (.f32 #s(literal 1/3 binary32) (.f32 x x)) x)
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 x (.f32 #s(literal 1/3 binary32) (.f32 x x)) x)
(* 1/3 (pow x 3))
(.f32 x (.f32 #s(literal 1/3 binary32) (*.f32 x x)))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 x (.f32 #s(literal 1/3 binary32) (.f32 x x)) x)
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 x (.f32 #s(literal 1/3 binary32) (.f32 x x)) x)
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 x (.f32 #s(literal 1/3 binary32) (.f32 x x)) x)
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 x (.f32 #s(literal 1/3 binary32) (.f32 x x)) x)
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 x (.f32 #s(literal 1/3 binary32) (.f32 x x)) x)
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 x (.f32 #s(literal 1/3 binary32) (.f32 x x)) x)
(* 1/3 (pow x 3))
(.f32 x (.f32 #s(literal 1/3 binary32) (*.f32 x x)))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 x (.f32 #s(literal 1/3 binary32) (.f32 x x)) x)
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 x (.f32 #s(literal 1/3 binary32) (.f32 x x)) x)
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 x (.f32 #s(literal 1/3 binary32) (.f32 x x)) x)
(* 1/3 (pow x 3))
(.f32 x (.f32 #s(literal 1/3 binary32) (*.f32 x x)))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 x (.f32 #s(literal 1/3 binary32) (.f32 x x)) x)
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 x (.f32 #s(literal 1/3 binary32) (.f32 x x)) x)
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 x (.f32 #s(literal 1/3 binary32) (.f32 x x)) x)
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2/3 (pow x 2))))
(.f32 x (fma.f32 (.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32)))
(* x (+ 2 (* 2/3 (pow x 2))))
(.f32 x (fma.f32 (.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32)))
(* x (+ 2 (* 2/3 (pow x 2))))
(.f32 x (fma.f32 (.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32)))
(* 2/3 (pow x 3))
(.f32 x (.f32 (*.f32 x x) #s(literal 2/3 binary32)))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 (.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32)))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 (.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32)))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 (.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32)))
(* 2/3 (pow x 3))
(.f32 x (.f32 (*.f32 x x) #s(literal 2/3 binary32)))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 (.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32)))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 (.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32)))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 (.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32)))
2
#s(literal 2 binary32)
(+ 2 (* 2/3 (pow x 2)))
(fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32))
(+ 2 (* 2/3 (pow x 2)))
(fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32))
(+ 2 (* 2/3 (pow x 2)))
(fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32))
(* 2/3 (pow x 2))
(.f32 (.f32 x x) #s(literal 2/3 binary32))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32))
(* 2/3 (pow x 2))
(.f32 (.f32 x x) #s(literal 2/3 binary32))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32))
(* 2/3 x)
(*.f32 x #s(literal 2/3 binary32))
(* 2/3 x)
(*.f32 x #s(literal 2/3 binary32))
(* 2/3 x)
(*.f32 x #s(literal 2/3 binary32))
(* 2/3 x)
(*.f32 x #s(literal 2/3 binary32))
(* 2/3 x)
(*.f32 x #s(literal 2/3 binary32))
(* 2/3 x)
(*.f32 x #s(literal 2/3 binary32))
(* 2/3 x)
(*.f32 x #s(literal 2/3 binary32))
(* 2/3 x)
(*.f32 x #s(literal 2/3 binary32))
(* 2/3 x)
(*.f32 x #s(literal 2/3 binary32))
(* 2/3 x)
(*.f32 x #s(literal 2/3 binary32))
(* 2/3 x)
(*.f32 x #s(literal 2/3 binary32))
(* 2/3 x)
(*.f32 x #s(literal 2/3 binary32))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 x (.f32 #s(literal 1/3 binary32) (.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
(* 1/5 (pow x 5))
(.f32 x (.f32 x (.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x x)))))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x (.f32 x x)))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f32 (.f32 x (.f32 x (.f32 x (.f32 x x)))) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 x x)) (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 x (*.f32 x x)))))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f32 (.f32 x (.f32 x (.f32 x (.f32 x x)))) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 x x)) (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 x (*.f32 x x)))))))
(* 1/5 (pow x 5))
(.f32 x (.f32 x (.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x x)))))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x (.f32 x x)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(.f32 (.f32 x (.f32 x (.f32 x (.f32 x x)))) (+.f32 #s(literal 1/5 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (*.f32 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(.f32 (.f32 x (.f32 x (.f32 x (.f32 x x)))) (+.f32 #s(literal 1/5 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (*.f32 x x))))
1/3
#s(literal 1/3 binary32)
(+ 1/3 (* 1/5 (pow x 2)))
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
(+ 1/3 (* 1/5 (pow x 2)))
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
(+ 1/3 (* 1/5 (pow x 2)))
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))
(* 1/7 x)
(*.f32 x #s(literal 1/7 binary32))

eval70.0ms (0.8%)

Memory: 3.1MiB live, 153.1MiB allocated
Compiler: Compiled 22 301 to 1 634 computations (92.7% saved)

prune113.0ms (1.3%)

Memory

17.5MiB live, 177.6MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	731	4	735
Fresh	0	2	2
Picked	3	2	5
Done	0	1	1
Total	734	9	743

Accuracy

100.0%

Counts

743 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.6%	(fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
▶	98.8%	(fma.f32 (+.f32 (.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
▶	98.8%	(fma.f32 (.f32 (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x x)) x x)
✓	98.0%	(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
	98.8%	(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))
▶	98.6%	(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))
▶	98.0%	(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32))))
✓	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
▶	96.3%	x

Compiler

Compiled 212 to 129 computations (39.2% saved)

simplify574.0ms (6.6%)

Memory

-16.8MiB live, 538.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))
✓	cost-diff	0	(.f32 x (.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))))
✓	cost-diff	0	(fma.f32 (+.f32 (.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
✓	cost-diff	64	(+.f32 (.f32 x (.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))) #s(literal 1/3 binary32))
✓	cost-diff	0	(*.f32 x x)
✓	cost-diff	0	(fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))
✓	cost-diff	0	(.f32 x (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
✓	cost-diff	160	(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))
✓	cost-diff	0	(*.f32 x x)
✓	cost-diff	0	(fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32))
✓	cost-diff	0	(.f32 x (fma.f32 (.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32)))
✓	cost-diff	160	(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32))))
✓	cost-diff	0	(.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))
✓	cost-diff	0	(fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
✓	cost-diff	0	(.f32 (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x x))
✓	cost-diff	0	(fma.f32 (.f32 (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x x)) x x)

Rules

14 832×	`lower-fma.f64`
14 818×	`lower-fma.f32`
5 586×	`lower-*.f64`
5 566×	`lower-*.f32`
2 776×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	218
0	51	212
1	112	212
2	283	211
3	684	208
4	1337	207
5	1917	207
6	2547	207
7	3010	207
8	3222	207
9	3238	207
10	3238	207
11	7243	207
0	8482	204

Stop Event

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

Calls

Call 1

Inputs
(fma.f32 (.f32 (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x x)) x x)
(.f32 (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x x))
(fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
x
(.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
(*.f32 x x)
#s(literal 1/7 binary32)
#s(literal 1/5 binary32)
#s(literal 1/3 binary32)
x
(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32))))
#s(literal 1/2 binary32)
(.f32 x (fma.f32 (.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32)))
x
(fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32))
(*.f32 x x)
#s(literal 2/3 binary32)
#s(literal 2 binary32)
(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))
#s(literal 1/2 binary32)
(.f32 x (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
x
(fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))
(*.f32 x x)
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
(*.f32 x #s(literal 2/5 binary32))
#s(literal 2/5 binary32)
#s(literal 2/3 binary32)
#s(literal 2 binary32)
(fma.f32 (+.f32 (.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
(+.f32 (.f32 x (.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))) #s(literal 1/3 binary32))
(.f32 x (.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))))
x
(.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
(*.f32 x x)
#s(literal 1/7 binary32)
#s(literal 1/5 binary32)
#s(literal 1/3 binary32)
(.f32 x (.f32 x x))

Outputs
(fma.f32 (.f32 (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x x)) x x)
(fma.f32 x (.f32 x (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))) x)
(.f32 (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x x))
(.f32 x (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))))
(fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
(fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
x
(.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))
(.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
(*.f32 x x)
#s(literal 1/7 binary32)
#s(literal 1/5 binary32)
#s(literal 1/3 binary32)
x
(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32))))
(fma.f32 (.f32 x x) (.f32 x #s(literal 1/3 binary32)) x)
#s(literal 1/2 binary32)
(.f32 x (fma.f32 (.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32)))
(.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
x
(fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32))
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
(*.f32 x x)
#s(literal 2/3 binary32)
#s(literal 2 binary32)
(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))
(fma.f32 x (.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) x)
#s(literal 1/2 binary32)
(.f32 x (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
x
(fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))
(*.f32 x x)
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
(*.f32 x #s(literal 2/5 binary32))
#s(literal 2/5 binary32)
#s(literal 2/3 binary32)
#s(literal 2 binary32)
(fma.f32 (+.f32 (.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
(fma.f32 x (.f32 x (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))) x)
(+.f32 (.f32 x (.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))) #s(literal 1/3 binary32))
(fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
(.f32 x (.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))))
(.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))))
x
(.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))
(.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
(*.f32 x x)
#s(literal 1/7 binary32)
#s(literal 1/5 binary32)
#s(literal 1/3 binary32)
(.f32 x (.f32 x x))

localize150.0ms (1.7%)

Memory

6.1MiB live, 212.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(+.f32 (.f32 x (.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))) #s(literal 1/3 binary32))
✓	accuracy	99.7%	(.f32 x (.f32 x x))
✓	accuracy	99.5%	(.f32 x (.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))))
✓	accuracy	99.3%	(.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))
✓	accuracy	100.0%	(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))
✓	accuracy	99.9%	(.f32 x (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
✓	accuracy	99.9%	(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
✓	accuracy	99.3%	(*.f32 x #s(literal 2/5 binary32))
✓	accuracy	100.0%	(*.f32 x x)
✓	accuracy	100.0%	(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32))))
✓	accuracy	100.0%	(fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32))
✓	accuracy	99.9%	(.f32 x (fma.f32 (.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32)))
✓	accuracy	100.0%	(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
✓	accuracy	99.9%	(fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
✓	accuracy	99.4%	(.f32 (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x x))
✓	accuracy	99.3%	(.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))

Samples

78.0ms

256×

valid

Compiler

Compiled 247 to 33 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-add: 24.0ms (39.3% of total)

ival-mult: 23.0ms (37.6% of total)

const: 13.0ms (21.3% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

-18.5MiB live, 18.9MiB allocated

Counts

18 → 216

Calls

Call 1

Inputs
#<alt (fma.f32 (.f32 (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x x)) x x)>
#<alt (.f32 (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x x))>
#<alt (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))>
#<alt (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))>
#<alt (.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32))))>
#<alt (.f32 x (fma.f32 (.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32)))>
#<alt (fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32))>
#<alt (*.f32 x x)>
#<alt (.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))>
#<alt (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))>
#<alt (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))>
#<alt (+.f32 (.f32 x (.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))) #s(literal 1/3 binary32))>
#<alt (fma.f32 (+.f32 (.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)>
#<alt (.f32 x (.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))))>
#<alt (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))>
#<alt (*.f32 x #s(literal 2/5 binary32))>
#<alt (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))>
#<alt (.f32 x (.f32 x x))>

Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/5 (pow x 2)))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/5 x)>
#<alt (* x (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* x (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* x (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* 1/7 (pow x 3))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/7 (pow x 3))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2/3 (pow x 2))))>
#<alt (* x (+ 2 (* 2/3 (pow x 2))))>
#<alt (* x (+ 2 (* 2/3 (pow x 2))))>
#<alt (* 2/3 (pow x 3))>
#<alt (* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* 2/3 (pow x 3))>
#<alt (* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt 2>
#<alt (+ 2 (* 2/3 (pow x 2)))>
#<alt (+ 2 (* 2/3 (pow x 2)))>
#<alt (+ 2 (* 2/3 (pow x 2)))>
#<alt (* 2/3 (pow x 2))>
#<alt (* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* 2/3 (pow x 2))>
#<alt (* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* 1/5 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/5 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))>
#<alt (* 2/5 (pow x 5))>
#<alt (* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* 2/5 (pow x 5))>
#<alt (* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))>
#<alt 2>
#<alt (+ 2 (* 2/3 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))>
#<alt (* 2/5 (pow x 4))>
#<alt (* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* 2/5 (pow x 4))>
#<alt (* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/5 (pow x 2)))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))>
#<alt (* 1/5 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt 1/5>
#<alt (+ 1/5 (* 1/7 (pow x 2)))>
#<alt (+ 1/5 (* 1/7 (pow x 2)))>
#<alt (+ 1/5 (* 1/7 (pow x 2)))>
#<alt (* 1/7 (pow x 2))>
#<alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/7 (pow x 2))>
#<alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 2/5 x)>
#<alt (* 2/5 x)>
#<alt (* 2/5 x)>
#<alt (* 2/5 x)>
#<alt (* 2/5 x)>
#<alt (* 2/5 x)>
#<alt (* 2/5 x)>
#<alt (* 2/5 x)>
#<alt (* 2/5 x)>
#<alt (* 2/5 x)>
#<alt (* 2/5 x)>
#<alt (* 2/5 x)>
#<alt 2/3>
#<alt (+ 2/3 (* 2/5 (pow x 2)))>
#<alt (+ 2/3 (* 2/5 (pow x 2)))>
#<alt (+ 2/3 (* 2/5 (pow x 2)))>
#<alt (* 2/5 (pow x 2))>
#<alt (* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* 2/5 (pow x 2))>
#<alt (* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>

Calls

54 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(* x (* x x))
0.0ms	x	@	inf	(* 1/2 (* x (+ (* (* x x) (+ (* x (* x 2/5)) 2/3)) 2)))
0.0ms	x	@	0	(* 1/2 (* x (+ (* (* x x) (+ (* x (* x 2/5)) 2/3)) 2)))
0.0ms	x	@	inf	(* x 2/5)
0.0ms	x	@	-inf	(* x 2/5)

rewrite594.0ms (6.8%)

Memory

4.5MiB live, 800.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 088×	`lower-fma.f64`
8 074×	`lower-fma.f32`
5 252×	`lower-*.f64`
5 232×	`lower-*.f32`
4 128×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	177
0	51	171
1	202	171
2	1342	171
0	8459	171

Stop Event

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

Counts

18 → 652

Calls

Call 1

Inputs
(fma.f32 (.f32 (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x x)) x x)
(.f32 (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x x))
(fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
(.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))
(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32))))
(.f32 x (fma.f32 (.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32)))
(fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32))
(*.f32 x x)
(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))
(.f32 x (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))
(+.f32 (.f32 x (.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))) #s(literal 1/3 binary32))
(fma.f32 (+.f32 (.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
(.f32 x (.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))))
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
(*.f32 x #s(literal 2/5 binary32))
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
(.f32 x (.f32 x x))

Outputs
(+.f32 x (.f32 x (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))))))
(+.f32 (.f32 x (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))))) x)
(+.f32 (/.f32 (.f32 x (.f32 (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) (.f32 x (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))))))) (fma.f32 x (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) (neg.f32 x))) (neg.f32 (/.f32 (.f32 x x) (fma.f32 x (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) (neg.f32 x)))))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) x)) #s(literal -1 binary32))
(fma.f32 x (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) x)
(fma.f32 (.f32 x x) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) x)
(fma.f32 (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)
(fma.f32 (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) x x)
(fma.f32 (.f32 x (.f32 x x)) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) x)
(fma.f32 (.f32 x (.f32 (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) (.f32 x (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))))))) (/.f32 #s(literal 1 binary32) (fma.f32 x (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) (neg.f32 x))) (neg.f32 (/.f32 (.f32 x x) (fma.f32 x (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) (neg.f32 x)))))
(fma.f32 (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) (.f32 x x) x)
(fma.f32 (.f32 (.f32 x (.f32 x x)) (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) (.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))) #s(literal 1/27 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/9 binary32)) (.f32 #s(literal -1/3 binary32) (.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))))) x)
(fma.f32 (.f32 (.f32 x (.f32 x x)) (fma.f32 (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal -1/9 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal -1/3 binary32))) x)
(fma.f32 (.f32 (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) (.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))) #s(literal 1/27 binary32)) (.f32 x (.f32 x x))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/9 binary32)) (.f32 #s(literal -1/3 binary32) (.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))))) x)
(fma.f32 (.f32 (fma.f32 (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal -1/9 binary32)) (.f32 x (.f32 x x))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal -1/3 binary32))) x)
(fma.f32 (pow.f32 x #s(literal 1/2 binary32)) (pow.f32 x #s(literal 1/2 binary32)) (.f32 x (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))))))
(-.f32 (/.f32 (.f32 x (.f32 (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) (.f32 x (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))))))) (fma.f32 x (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) (neg.f32 x))) (/.f32 (.f32 x x) (fma.f32 x (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) (neg.f32 x))))
(-.f32 (/.f32 (.f32 x x) (-.f32 x (.f32 x (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))))))) (/.f32 (.f32 x (.f32 (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) (.f32 x (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))))))) (-.f32 x (.f32 x (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))))))))
(/.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) (.f32 (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))))) (.f32 x (.f32 x x))) (fma.f32 x (-.f32 x (.f32 x (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))))) (.f32 x (.f32 (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) (.f32 x (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))))))))
(/.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) (.f32 (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))))) (.f32 x (.f32 x x))) (fma.f32 x x (fma.f32 (.f32 x x) (.f32 (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))))) (.f32 (neg.f32 x) (.f32 x (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))))))))
(/.f32 (.f32 (fma.f32 x (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) x) (fma.f32 x (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) (neg.f32 x))) (fma.f32 x (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) (neg.f32 x)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x x (fma.f32 (.f32 x x) (.f32 (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))))) (.f32 (neg.f32 x) (.f32 x (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))))))) (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) (.f32 (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))))) (.f32 x (.f32 x x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) x)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (.f32 x (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))))) (.f32 (fma.f32 x (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) x) (-.f32 x (.f32 x (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))))))))
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(fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))
(fma.f32 #s(literal 2/5 binary32) (*.f32 x x) #s(literal 2/3 binary32))
(fma.f32 (*.f32 x #s(literal 2/5 binary32)) x #s(literal 2/3 binary32))
(fma.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/25 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))) (neg.f32 (/.f32 #s(literal 4/9 binary32) (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32)))))
(-.f32 (/.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/25 binary32))) (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))) (/.f32 #s(literal 4/9 binary32) (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))))
(-.f32 (/.f32 #s(literal 4/9 binary32) (-.f32 #s(literal 2/3 binary32) (.f32 (.f32 x x) #s(literal 2/5 binary32)))) (/.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/25 binary32))) (-.f32 #s(literal 2/3 binary32) (.f32 (.f32 x x) #s(literal 2/5 binary32)))))
(/.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 8/125 binary32)) #s(literal 8/27 binary32)) (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/25 binary32)) (-.f32 #s(literal 4/9 binary32) (.f32 (.f32 x x) #s(literal 4/15 binary32)))))
(/.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 8/125 binary32)) #s(literal 8/27 binary32)) (+.f32 #s(literal 4/9 binary32) (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/25 binary32)) (neg.f32 (.f32 (.f32 x x) #s(literal 4/15 binary32))))))
(/.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/25 binary32)) #s(literal -4/9 binary32)) (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 4/9 binary32) (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/25 binary32)) (neg.f32 (.f32 (.f32 x x) #s(literal 4/15 binary32))))) (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 8/125 binary32)) #s(literal 8/27 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2/3 binary32) (.f32 (.f32 x x) #s(literal 2/5 binary32))) (-.f32 #s(literal 4/9 binary32) (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/25 binary32))))))
(/.f32 (neg.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 8/125 binary32)) #s(literal 8/27 binary32))) (neg.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/25 binary32)) (-.f32 #s(literal 4/9 binary32) (.f32 (.f32 x x) #s(literal 4/15 binary32))))))
(/.f32 (neg.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 8/125 binary32)) #s(literal 8/27 binary32))) (neg.f32 (+.f32 #s(literal 4/9 binary32) (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/25 binary32)) (neg.f32 (.f32 (.f32 x x) #s(literal 4/15 binary32)))))))
(/.f32 (neg.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/25 binary32)) #s(literal -4/9 binary32))) (neg.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))))
(/.f32 (-.f32 #s(literal 4/9 binary32) (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/25 binary32)))) (-.f32 #s(literal 2/3 binary32) (.f32 (.f32 x x) #s(literal 2/5 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))))
(/.f32 (-.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/25 binary32))) (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))) (.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32)) #s(literal 4/9 binary32))) (.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32)) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))))
(/.f32 (.f32 (fma.f32 (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 8/125 binary32))) (.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x)))) #s(literal 64/15625 binary32)) #s(literal 512/19683 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x)))) #s(literal 64/15625 binary32) (-.f32 #s(literal 64/729 binary32) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) #s(literal 64/3375 binary32)))) (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/25 binary32)) (-.f32 #s(literal 4/9 binary32) (.f32 (.f32 x x) #s(literal 4/15 binary32))))))
(/.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x)))) #s(literal 64/15625 binary32) #s(literal -64/729 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 8/125 binary32)) #s(literal -8/27 binary32)) (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/25 binary32)) (-.f32 #s(literal 4/9 binary32) (.f32 (*.f32 x x) #s(literal 4/15 binary32))))))
(/.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x))) (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 x x)))) #s(literal 64/15625 binary32) #s(literal -64/729 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (.f32 x x) (.f32 x x))) #s(literal 16/625 binary32) (+.f32 #s(literal 16/81 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) #s(literal 16/225 binary32)))) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))))
(/.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (.f32 x x) (.f32 x x))) #s(literal 16/625 binary32) #s(literal -16/81 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/25 binary32)) #s(literal 4/9 binary32)) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 8/125 binary32)) #s(literal 8/27 binary32)))) (neg.f32 (neg.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/25 binary32)) (-.f32 #s(literal 4/9 binary32) (.f32 (.f32 x x) #s(literal 4/15 binary32)))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/25 binary32)) #s(literal -4/9 binary32)))) (neg.f32 (neg.f32 (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 4/9 binary32) (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/25 binary32))))) (neg.f32 (-.f32 #s(literal 2/3 binary32) (.f32 (.f32 x x) #s(literal 2/5 binary32)))))
(/.f32 (-.f32 (pow.f32 (/.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/25 binary32))) (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 4/9 binary32) (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/25 binary32))) (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/25 binary32))) (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))) (fma.f32 (/.f32 #s(literal 4/9 binary32) (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))) (/.f32 #s(literal 4/9 binary32) (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))) (.f32 (/.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/25 binary32))) (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))) (/.f32 #s(literal 4/9 binary32) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32)))))))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/25 binary32))) (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))) (/.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/25 binary32))) (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32)))) (.f32 (/.f32 #s(literal 4/9 binary32) (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))) (/.f32 #s(literal 4/9 binary32) (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))))) (+.f32 (/.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/25 binary32))) (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))) (/.f32 #s(literal 4/9 binary32) (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32)))))
(.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 8/125 binary32)) #s(literal 8/27 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/25 binary32)) (-.f32 #s(literal 4/9 binary32) (.f32 (*.f32 x x) #s(literal 4/15 binary32))))))
(.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 8/125 binary32)) #s(literal 8/27 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4/9 binary32) (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/25 binary32)) (neg.f32 (.f32 (*.f32 x x) #s(literal 4/15 binary32)))))))
(.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/25 binary32)) #s(literal -4/9 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32))))
(.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)))
(.f32 (neg.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 8/125 binary32)) #s(literal 8/27 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/25 binary32)) (-.f32 #s(literal 4/9 binary32) (.f32 (*.f32 x x) #s(literal 4/15 binary32)))))))
(.f32 (neg.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/25 binary32)) #s(literal -4/9 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal -2/3 binary32)))))
(.f32 (-.f32 #s(literal 4/9 binary32) (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/25 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2/3 binary32) (.f32 (*.f32 x x) #s(literal 2/5 binary32)))))
(exp.f32 (*.f32 (log.f32 x) #s(literal 3 binary32)))
(pow.f32 x #s(literal 3 binary32))
(pow.f32 (*.f32 x x) #s(literal 3/2 binary32))
(pow.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 2 binary32))
(pow.f32 (exp.f32 (log.f32 x)) #s(literal 3 binary32))
(.f32 x (.f32 x x))
(.f32 (.f32 x x) x)
(*.f32 (pow.f32 x #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3/2 binary32)))

simplify348.0ms (4%)

Memory

21.6MiB live, 540.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10 234×	`lower-fma.f64`
10 234×	`lower-fma.f32`
4 148×	`lower-*.f64`
4 148×	`lower-*.f32`
1 526×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	118	1826
1	400	1786
2	1072	1780
3	2944	1778
4	6298	1778
0	8250	1621

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 212

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
1/3
(+ 1/3 (* 1/5 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/5 x)
(* x (+ 1/5 (* 1/7 (pow x 2))))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(* 1/7 (pow x 3))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/7 (pow x 3))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* 2/3 (pow x 2))))
(* 2/3 (pow x 3))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* 2/3 (pow x 3))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
2
(+ 2 (* 2/3 (pow x 2)))
(+ 2 (* 2/3 (pow x 2)))
(+ 2 (* 2/3 (pow x 2)))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* 2/5 (pow x 5))
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 2/5 (pow x 5))
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))
2
(+ 2 (* 2/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))
(* 2/5 (pow x 4))
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 2/5 (pow x 4))
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
1/3
(+ 1/3 (* 1/5 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
1/5
(+ 1/5 (* 1/7 (pow x 2)))
(+ 1/5 (* 1/7 (pow x 2)))
(+ 1/5 (* 1/7 (pow x 2)))
(* 1/7 (pow x 2))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/7 (pow x 2))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 2/5 x)
(* 2/5 x)
(* 2/5 x)
(* 2/5 x)
(* 2/5 x)
(* 2/5 x)
(* 2/5 x)
(* 2/5 x)
(* 2/5 x)
(* 2/5 x)
(* 2/5 x)
(* 2/5 x)
2/3
(+ 2/3 (* 2/5 (pow x 2)))
(+ 2/3 (* 2/5 (pow x 2)))
(+ 2/3 (* 2/5 (pow x 2)))
(* 2/5 (pow x 2))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* 2/5 (pow x 2))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)

Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (fma.f32 x (.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 x (.f32 x (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))) x)
(* 1/7 (pow x 7))
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 7 binary32)))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (*.f32 x x)))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x)))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))))))
(* 1/7 (pow x 7))
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 7 binary32)))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(.f32 (pow.f32 x #s(literal 7 binary32)) (-.f32 #s(literal 1/7 binary32) (/.f32 (+.f32 #s(literal -1/5 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 x x))) (*.f32 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))
(* 1/3 (pow x 2))
(.f32 x (.f32 x #s(literal 1/3 binary32)))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(.f32 x (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(.f32 x (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))))
(* 1/7 (pow x 6))
(.f32 (.f32 x x) (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x (.f32 x x)))))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 x x) (.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x)))))) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x)))))) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))))
(* 1/7 (pow x 6))
(.f32 (.f32 x x) (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x (.f32 x x)))))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 x x) (.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x)))))) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x)))))) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))))
1/3
#s(literal 1/3 binary32)
(+ 1/3 (* 1/5 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
(* 1/7 (pow x 4))
(.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x (.f32 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
(* 1/7 (pow x 4))
(.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x (.f32 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
(* 1/7 (pow x 3))
(.f32 x (.f32 x (*.f32 x #s(literal 1/7 binary32))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
(* 1/7 (pow x 3))
(.f32 x (.f32 x (*.f32 x #s(literal 1/7 binary32))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
(* 1/3 (pow x 3))
(.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
(* 1/3 (pow x 3))
(.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2/3 (pow x 2))))
(.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* x (+ 2 (* 2/3 (pow x 2))))
(.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* x (+ 2 (* 2/3 (pow x 2))))
(.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* 2/3 (pow x 3))
(.f32 (.f32 x (*.f32 x x)) #s(literal 2/3 binary32))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* 2/3 (pow x 3))
(.f32 (.f32 x (*.f32 x x)) #s(literal 2/3 binary32))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* (pow x 3) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
2
#s(literal 2 binary32)
(+ 2 (* 2/3 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
(+ 2 (* 2/3 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
(+ 2 (* 2/3 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
(* 2/3 (pow x 2))
(.f32 (.f32 x x) #s(literal 2/3 binary32))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
(* 2/3 (pow x 2))
(.f32 (.f32 x x) #s(literal 2/3 binary32))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
(* (pow x 2) (+ 2/3 (* 2 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (fma.f32 x (.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (fma.f32 x (.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
(* 1/5 (pow x 5))
(.f32 x (.f32 x (.f32 x (.f32 x (*.f32 x #s(literal 1/5 binary32))))))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f32 (fma.f32 x (.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f32 x (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 x x))))) (.f32 x (.f32 x (.f32 x (.f32 x x))))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f32 x (.f32 x (.f32 x #s(literal 1/3 binary32))) (.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 x x))))) (.f32 x (.f32 x (.f32 x (.f32 x x))))))
(* 1/5 (pow x 5))
(.f32 x (.f32 x (.f32 x (.f32 x (*.f32 x #s(literal 1/5 binary32))))))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f32 (fma.f32 x (.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(fma.f32 (fma.f32 x (.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(fma.f32 (fma.f32 x (.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2/3 (pow x 2))))
(.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(.f32 x (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(.f32 x (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* 2/5 (pow x 5))
(.f32 x (.f32 x (.f32 x (.f32 (*.f32 x x) #s(literal 2/5 binary32)))))
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))))
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(fma.f32 (.f32 x (.f32 x (.f32 x (.f32 x x)))) (+.f32 #s(literal 2/5 binary32) (/.f32 #s(literal 2 binary32) (.f32 x (.f32 x (.f32 x x))))) (.f32 (.f32 x (.f32 x x)) #s(literal 2/3 binary32)))
(* (pow x 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(fma.f32 (.f32 x (.f32 x (.f32 x (.f32 x x)))) (+.f32 #s(literal 2/5 binary32) (/.f32 #s(literal 2 binary32) (.f32 x (.f32 x (.f32 x x))))) (.f32 (.f32 x (.f32 x x)) #s(literal 2/3 binary32)))
(* 2/5 (pow x 5))
(.f32 x (.f32 x (.f32 x (.f32 (*.f32 x x) #s(literal 2/5 binary32)))))
(* (pow x 5) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))
(.f32 x (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2/5)))
(.f32 x (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
2
#s(literal 2 binary32)
(+ 2 (* 2/3 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))
(fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))
(+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2)))))
(fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))
(* 2/5 (pow x 4))
(.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 2/5 binary32))))
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)))
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))
(* 2/5 (pow x 4))
(.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 2/5 binary32))))
(* (pow x 4) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)))
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))
(* (pow x 4) (+ 2/5 (+ (* 2/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))
1/3
#s(literal 1/3 binary32)
(+ 1/3 (* 1/5 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
(* 1/7 (pow x 4))
(.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x (.f32 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
(* 1/7 (pow x 4))
(.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x (.f32 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (fma.f32 x (.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 x (.f32 x (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))) x)
(* 1/7 (pow x 7))
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 7 binary32)))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (*.f32 x x)))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x)))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))))))
(* 1/7 (pow x 7))
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 7 binary32)))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(.f32 (pow.f32 x #s(literal 7 binary32)) (-.f32 #s(literal 1/7 binary32) (/.f32 (+.f32 #s(literal -1/5 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 x x))) (*.f32 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))
(* 1/5 (pow x 2))
(.f32 x (.f32 x #s(literal 1/5 binary32)))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))))
(* 1/7 (pow x 4))
(.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x (.f32 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))))
(* 1/7 (pow x 4))
(.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x (.f32 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))))
1/5
#s(literal 1/5 binary32)
(+ 1/5 (* 1/7 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
(+ 1/5 (* 1/7 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
(+ 1/5 (* 1/7 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
(* 1/7 (pow x 2))
(.f32 x (.f32 x #s(literal 1/7 binary32)))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
(* 1/7 (pow x 2))
(.f32 x (.f32 x #s(literal 1/7 binary32)))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
(* 2/5 x)
(*.f32 x #s(literal 2/5 binary32))
(* 2/5 x)
(*.f32 x #s(literal 2/5 binary32))
(* 2/5 x)
(*.f32 x #s(literal 2/5 binary32))
(* 2/5 x)
(*.f32 x #s(literal 2/5 binary32))
(* 2/5 x)
(*.f32 x #s(literal 2/5 binary32))
(* 2/5 x)
(*.f32 x #s(literal 2/5 binary32))
(* 2/5 x)
(*.f32 x #s(literal 2/5 binary32))
(* 2/5 x)
(*.f32 x #s(literal 2/5 binary32))
(* 2/5 x)
(*.f32 x #s(literal 2/5 binary32))
(* 2/5 x)
(*.f32 x #s(literal 2/5 binary32))
(* 2/5 x)
(*.f32 x #s(literal 2/5 binary32))
(* 2/5 x)
(*.f32 x #s(literal 2/5 binary32))
2/3
#s(literal 2/3 binary32)
(+ 2/3 (* 2/5 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
(+ 2/3 (* 2/5 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
(+ 2/3 (* 2/5 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
(* 2/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 2/5 binary32))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
(* 2/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 2/5 binary32))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
(* (pow x 2) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))

eval144.0ms (1.6%)

Memory: 27.7MiB live, 254.6MiB allocated
Compiler: Compiled 39 122 to 2 844 computations (92.7% saved)

prune121.0ms (1.4%)

Memory

-33.6MiB live, 326.5MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	1 056	2	1 058
Fresh	1	0	1
Picked	0	5	5
Done	0	3	3
Total	1 057	10	1 067

Accuracy

100.0%

Counts

1 067 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.6%	(fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
✓	98.8%	(fma.f32 (+.f32 (.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
✓	98.8%	(fma.f32 (.f32 (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x x)) x x)
▶	25.0%	(fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x)))))) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x))))) x x)
✓	98.0%	(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
▶	98.8%	(.f32 (fma.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) #s(literal 1 binary32)) x)
✓	98.6%	(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))
✓	98.0%	(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32))))
✓	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
✓	96.3%	x

Compiler

Compiled 154 to 87 computations (43.5% saved)

simplify263.0ms (3%)

Memory

28.5MiB live, 420.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f32 #s(literal 1/5 binary32) (*.f32 x x))
✓	cost-diff	0	(+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x))))))
✓	cost-diff	0	(fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x)))))) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x))))) x x)
✓	cost-diff	1472	(.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x)))))) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))))
✓	cost-diff	0	(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
✓	cost-diff	0	(.f32 x (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))
✓	cost-diff	0	(fma.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) #s(literal 1 binary32))
✓	cost-diff	0	(.f32 (fma.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) #s(literal 1 binary32)) x)

Rules

9 874×	`lower-fma.f64`
9 866×	`lower-fma.f32`
3 434×	`lower-*.f64`
3 420×	`lower-*.f32`
1 408×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	205
0	39	171
1	93	153
2	266	151
3	881	151
4	3101	151
5	5890	149
6	6677	149
7	7188	149
0	8447	147

Stop Event

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

Calls

Call 1

Inputs
(.f32 (fma.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) #s(literal 1 binary32)) x)
(fma.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) #s(literal 1 binary32))
x
(.f32 x (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))
(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(*.f32 x x)
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
#s(literal 1/7 binary32)
#s(literal 1/5 binary32)
#s(literal 1/3 binary32)
#s(literal 1 binary32)
(fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x)))))) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x))))) x x)
(.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x)))))) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))))
(+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x))))))
(/.f32 #s(literal 1/5 binary32) (*.f32 x x))
#s(literal 1/5 binary32)
(*.f32 x x)
x
(+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (*.f32 x x)))))
#s(literal 1/7 binary32)
(/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (*.f32 x x))))
#s(literal 1/3 binary32)
(.f32 x (.f32 x (*.f32 x x)))
(.f32 x (.f32 x x))
(.f32 (.f32 x x) (.f32 x (.f32 x (*.f32 x x))))

Outputs
(.f32 (fma.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) #s(literal 1 binary32)) x)
(fma.f32 (.f32 x (.f32 x x)) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) x)
(fma.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) #s(literal 1 binary32))
(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32))
x
(.f32 x (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))
(.f32 x (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))
(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(*.f32 x x)
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
#s(literal 1/7 binary32)
#s(literal 1/5 binary32)
#s(literal 1/3 binary32)
#s(literal 1 binary32)
(fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x)))))) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x))))) x x)
(fma.f32 (.f32 x (.f32 x x)) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) x)
(.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x)))))) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))))
(.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))
(+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x))))))
(/.f32 #s(literal 1/5 binary32) (*.f32 x x))
#s(literal 1/5 binary32)
(*.f32 x x)
x
(+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (*.f32 x x)))))
#s(literal 1/7 binary32)
(/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (*.f32 x x))))
#s(literal 1/3 binary32)
(.f32 x (.f32 x (*.f32 x x)))
(.f32 x (.f32 x x))
(.f32 (.f32 x x) (.f32 x (.f32 x (*.f32 x x))))
(.f32 x (.f32 x (.f32 x (.f32 x (*.f32 x x)))))

localize395.0ms (4.5%)

Memory

-27.5MiB live, 141.4MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f32 x (.f32 x x))
✓	accuracy	99.6%	(/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (*.f32 x x))))
✓	accuracy	99.4%	(/.f32 #s(literal 1/5 binary32) (*.f32 x x))
✓	accuracy	22.9%	(.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x)))))) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))))
✓	accuracy	100.0%	(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
✓	accuracy	99.9%	(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
✓	accuracy	99.9%	(.f32 (fma.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) #s(literal 1 binary32)) x)
✓	accuracy	99.0%	(.f32 x (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))

Samples

357.0ms

256×

valid

Compiler

Compiled 219 to 26 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 347.0ms

ival-div: 312.0ms (89.9% of total)

ival-mult: 16.0ms (4.6% of total)

const: 12.0ms (3.5% of total)

ival-add: 6.0ms (1.7% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Counts

11 → 132

Calls

Call 1

Inputs
#<alt (.f32 (fma.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) #s(literal 1 binary32)) x)>
#<alt (fma.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) #s(literal 1 binary32))>
#<alt (.f32 x (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))>
#<alt (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))>
#<alt (.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x)))))) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))))>
#<alt (fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x)))))) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x))))) x x)>
#<alt (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x))))))>
#<alt (/.f32 #s(literal 1/5 binary32) (*.f32 x x))>
#<alt (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))>
#<alt (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (*.f32 x x))))>
#<alt (.f32 x (.f32 x x))>

Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))>
#<alt 1>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* 1/7 (pow x 5))>
#<alt (* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/7 (pow x 5))>
#<alt (* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/5 (pow x 2)))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))>
#<alt (/ 1/3 (pow x 4))>
#<alt (/ (+ 1/3 (* 1/5 (pow x 2))) (pow x 4))>
#<alt (/ (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))) (pow x 4))>
#<alt (/ (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))) (pow x 4))>
#<alt 1/7>
#<alt (+ 1/7 (* 1/5 (/ 1 (pow x 2))))>
#<alt (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))>
#<alt (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))>
#<alt 1/7>
#<alt (+ 1/7 (* 1/5 (/ 1 (pow x 2))))>
#<alt (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))>
#<alt (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))>
#<alt (/ 1/5 (pow x 2))>
#<alt (/ 1/5 (pow x 2))>
#<alt (/ 1/5 (pow x 2))>
#<alt (/ 1/5 (pow x 2))>
#<alt (/ 1/5 (pow x 2))>
#<alt (/ 1/5 (pow x 2))>
#<alt (/ 1/5 (pow x 2))>
#<alt (/ 1/5 (pow x 2))>
#<alt (/ 1/5 (pow x 2))>
#<alt (/ 1/5 (pow x 2))>
#<alt (/ 1/5 (pow x 2))>
#<alt (/ 1/5 (pow x 2))>
#<alt 1/5>
#<alt (+ 1/5 (* 1/7 (pow x 2)))>
#<alt (+ 1/5 (* 1/7 (pow x 2)))>
#<alt (+ 1/5 (* 1/7 (pow x 2)))>
#<alt (* 1/7 (pow x 2))>
#<alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/7 (pow x 2))>
#<alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (/ 1/3 (pow x 4))>
#<alt (/ 1/3 (pow x 4))>
#<alt (/ 1/3 (pow x 4))>
#<alt (/ 1/3 (pow x 4))>
#<alt (/ 1/3 (pow x 4))>
#<alt (/ 1/3 (pow x 4))>
#<alt (/ 1/3 (pow x 4))>
#<alt (/ 1/3 (pow x 4))>
#<alt (/ 1/3 (pow x 4))>
#<alt (/ 1/3 (pow x 4))>
#<alt (/ 1/3 (pow x 4))>
#<alt (/ 1/3 (pow x 4))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>

Calls

33 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(* (+ (* x (* x (+ (* (* x x) (+ (* (* x x) 1/7) 1/5)) 1/3))) 1) x)
0.0ms	x	@	0	(/ 1/3 (* x (* x (* x x))))
0.0ms	x	@	inf	(* (+ (* x (* x (+ (* (* x x) (+ (* (* x x) 1/7) 1/5)) 1/3))) 1) x)
0.0ms	x	@	0	(* (+ (/ 1/5 (* x x)) (+ 1/7 (/ 1/3 (* x (* x (* x x)))))) (* (* x x) (* x (* x (* x x)))))
0.0ms	x	@	0	(/ 1/5 (* x x))

rewrite450.0ms (5.1%)

Memory

37.0MiB live, 541.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 032×	`lower-*.f64`
6 018×	`lower-*.f32`
4 202×	`lower-fma.f64`
4 194×	`lower-fma.f32`
4 096×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	161
0	39	143
1	187	127
2	1647	126
0	8233	119

Stop Event

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

Counts

11 → 534

Calls

Call 1

Inputs
(.f32 (fma.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) #s(literal 1 binary32)) x)
(fma.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) #s(literal 1 binary32))
(.f32 x (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))
(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x)))))) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))))
(fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x)))))) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x))))) x x)
(+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x))))))
(/.f32 #s(literal 1/5 binary32) (*.f32 x x))
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
(/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (*.f32 x x))))
(.f32 x (.f32 x x))

Outputs
(+.f32 (.f32 x #s(literal 1 binary32)) (.f32 x (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))))))
(+.f32 (.f32 x (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))))) (.f32 x #s(literal 1 binary32)))
(+.f32 (.f32 #s(literal 1 binary32) x) (.f32 (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) x))
(+.f32 (.f32 (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) x) (.f32 #s(literal 1 binary32) x))
(fma.f32 x #s(literal 1 binary32) (.f32 x (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))))))
(fma.f32 x (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) (*.f32 x #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) x (.f32 (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) x))
(fma.f32 (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) x (*.f32 #s(literal 1 binary32) x))
(/.f32 (.f32 x (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) (.f32 (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))))) #s(literal 1 binary32))) (fma.f32 x (.f32 (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))))) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))))))
(/.f32 (.f32 x (fma.f32 (.f32 x x) (.f32 (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) #s(literal -1 binary32))) (fma.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) #s(literal -1 binary32)))
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(/.f32 #s(literal 1/5 binary32) (*.f32 x x))
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(.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x)))
(.f32 #s(literal -1/5 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (.f32 x x))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) #s(literal 1/5 binary32))
(*.f32 (/.f32 #s(literal 1/5 binary32) x) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/5 binary32) x))
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(pow.f32 (/.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal -1/5 binary32)) (fma.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 1/49 binary32) #s(literal -1/25 binary32))) #s(literal -1 binary32))
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
(fma.f32 #s(literal 1/7 binary32) (*.f32 x x) #s(literal 1/5 binary32))
(fma.f32 (*.f32 x #s(literal 1/7 binary32)) x #s(literal 1/5 binary32))
(-.f32 (/.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 1/49 binary32)) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal -1/5 binary32))) (/.f32 #s(literal 1/25 binary32) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal -1/5 binary32))))
(-.f32 (/.f32 #s(literal 1/25 binary32) (-.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))) (/.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 1/49 binary32)) (-.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 1/49 binary32) (-.f32 #s(literal 1/25 binary32) (.f32 (.f32 x x) #s(literal 1/35 binary32)))) (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32))))
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(/.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32)) #s(literal 1/125 binary32)) (+.f32 #s(literal 1/25 binary32) (-.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 1/49 binary32)) (.f32 (*.f32 x x) #s(literal 1/35 binary32)))))
(/.f32 (fma.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 1/49 binary32) #s(literal -1/25 binary32)) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal -1/5 binary32)))
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(.f32 (fma.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 1/49 binary32) #s(literal -1/25 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal -1/5 binary32))))
(neg.f32 (/.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x (*.f32 x x)))))
(exp.f32 (.f32 (log.f32 (.f32 (.f32 x (.f32 x (*.f32 x x))) #s(literal 3 binary32))) #s(literal -1 binary32)))
(pow.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 3 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 3 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (.f32 x (.f32 x x)) (/.f32 #s(literal 1/3 binary32) x)) #s(literal -1 binary32))
(/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (*.f32 x x))))
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(/.f32 (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x))) x)
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(/.f32 (neg.f32 (/.f32 (/.f32 #s(literal 1/3 binary32) x) (*.f32 x x))) (neg.f32 x))
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(.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x)))))
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(.f32 (/.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 x x)))) #s(literal 1/3 binary32))
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(.f32 (/.f32 #s(literal 1/3 binary32) x) (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x))))
(.f32 (/.f32 #s(literal 1/3 binary32) x) (/.f32 (/.f32 #s(literal 1 binary32) x) (.f32 x x)))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x))) (/.f32 #s(literal 1/3 binary32) x))
(.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (/.f32 (.f32 x (*.f32 x x)) #s(literal 1/3 binary32)) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1/3 binary32) (.f32 x x)) (/.f32 #s(literal 1 binary32) (*.f32 x x)))
(*.f32 (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3/2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 x #s(literal 3/2 binary32))))
(exp.f32 (*.f32 (log.f32 x) #s(literal 3 binary32)))
(pow.f32 x #s(literal 3 binary32))
(pow.f32 (*.f32 x x) #s(literal 3/2 binary32))
(pow.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 2 binary32))
(pow.f32 (exp.f32 (log.f32 x)) #s(literal 3 binary32))
(.f32 x (.f32 x x))
(.f32 (.f32 x x) x)
(*.f32 (pow.f32 x #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3/2 binary32)))

simplify337.0ms (3.9%)

Memory

-15.0MiB live, 549.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12 354×	`lower-fma.f64`
12 354×	`lower-fma.f32`
3 726×	`lower-*.f64`
3 726×	`lower-*.f32`
1 572×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	1230
1	257	1218
2	700	1206
3	1929	1206
4	4002	1206
5	6599	1206
0	8131	1129

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 130

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/3 x)
(* x (+ 1/3 (* 1/5 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* 1/7 (pow x 5))
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/7 (pow x 5))
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
1/3
(+ 1/3 (* 1/5 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(/ 1/3 (pow x 4))
(/ (+ 1/3 (* 1/5 (pow x 2))) (pow x 4))
(/ (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))) (pow x 4))
(/ (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))) (pow x 4))
1/7
(+ 1/7 (* 1/5 (/ 1 (pow x 2))))
(+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))
(+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))
1/7
(+ 1/7 (* 1/5 (/ 1 (pow x 2))))
(+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))
(+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))
(/ 1/5 (pow x 2))
(/ 1/5 (pow x 2))
(/ 1/5 (pow x 2))
(/ 1/5 (pow x 2))
(/ 1/5 (pow x 2))
(/ 1/5 (pow x 2))
(/ 1/5 (pow x 2))
(/ 1/5 (pow x 2))
(/ 1/5 (pow x 2))
(/ 1/5 (pow x 2))
(/ 1/5 (pow x 2))
(/ 1/5 (pow x 2))
1/5
(+ 1/5 (* 1/7 (pow x 2)))
(+ 1/5 (* 1/7 (pow x 2)))
(+ 1/5 (* 1/7 (pow x 2)))
(* 1/7 (pow x 2))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/7 (pow x 2))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(/ 1/3 (pow x 4))
(/ 1/3 (pow x 4))
(/ 1/3 (pow x 4))
(/ 1/3 (pow x 4))
(/ 1/3 (pow x 4))
(/ 1/3 (pow x 4))
(/ 1/3 (pow x 4))
(/ 1/3 (pow x 4))
(/ 1/3 (pow x 4))
(/ 1/3 (pow x 4))
(/ 1/3 (pow x 4))
(/ 1/3 (pow x 4))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)

Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 x (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) x)
(* 1/7 (pow x 7))
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 7 binary32)))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (*.f32 x x))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x))))) (+.f32 #s(literal 1/7 binary32) (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (.f32 x x)))))
(* 1/7 (pow x 7))
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 7 binary32)))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (*.f32 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (fma.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) (+.f32 #s(literal 1/5 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 x x))) #s(literal 1/7 binary32)))
1
#s(literal 1 binary32)
(+ 1 (* 1/3 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32))
(* 1/7 (pow x 6))
(.f32 x (.f32 (.f32 x x) (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x x)))))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 x x) (.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x (.f32 x x))) (.f32 (.f32 x (*.f32 x x)) (/.f32 #s(literal 1/3 binary32) x)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x (.f32 x x))) (fma.f32 (.f32 x (.f32 x x)) (/.f32 #s(literal 1/3 binary32) x) #s(literal 1 binary32)))
(* 1/7 (pow x 6))
(.f32 x (.f32 (.f32 x x) (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x x)))))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 x x) (.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x (.f32 x x))) (.f32 (.f32 x (*.f32 x x)) (/.f32 #s(literal 1/3 binary32) x)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x (.f32 x x))) (fma.f32 (.f32 x (.f32 x x)) (/.f32 #s(literal 1/3 binary32) x) #s(literal 1 binary32)))
(* 1/3 x)
(*.f32 x #s(literal 1/3 binary32))
(* x (+ 1/3 (* 1/5 (pow x 2))))
(.f32 x (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)))
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(.f32 x (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(.f32 x (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))
(* 1/7 (pow x 5))
(.f32 (.f32 x x) (.f32 #s(literal 1/7 binary32) (.f32 x (*.f32 x x))))
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x (.f32 x x)))
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 x (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) (.f32 (/.f32 #s(literal 1/3 binary32) (.f32 x x)) (.f32 x (*.f32 x x))))
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 x (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) (.f32 (/.f32 #s(literal 1/3 binary32) (.f32 x x)) (.f32 x (*.f32 x x))))
(* 1/7 (pow x 5))
(.f32 (.f32 x x) (.f32 #s(literal 1/7 binary32) (.f32 x (*.f32 x x))))
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x (.f32 x x)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(fma.f32 x (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) (.f32 (/.f32 #s(literal 1/3 binary32) (.f32 x x)) (.f32 x (*.f32 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(fma.f32 x (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) (.f32 (/.f32 #s(literal 1/3 binary32) (.f32 x x)) (.f32 x (*.f32 x x))))
1/3
#s(literal 1/3 binary32)
(+ 1/3 (* 1/5 (pow x 2)))
(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(* 1/7 (pow x 4))
(.f32 x (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(* 1/7 (pow x 4))
(.f32 x (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(* 1/3 (pow x 2))
(.f32 x (.f32 x #s(literal 1/3 binary32)))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(.f32 x (.f32 x (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))
(* 1/7 (pow x 6))
(.f32 x (.f32 (.f32 x x) (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x x)))))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 x x) (.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x (.f32 x x))) (.f32 (.f32 x (*.f32 x x)) (/.f32 #s(literal 1/3 binary32) x)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x (.f32 x x))) (.f32 (.f32 x (*.f32 x x)) (/.f32 #s(literal 1/3 binary32) x)))
(* 1/7 (pow x 6))
(.f32 x (.f32 (.f32 x x) (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x x)))))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 x x) (.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x (.f32 x x))) (.f32 (.f32 x (*.f32 x x)) (/.f32 #s(literal 1/3 binary32) x)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x (.f32 x x))) (.f32 (.f32 x (*.f32 x x)) (/.f32 #s(literal 1/3 binary32) x)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(fma.f32 x (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) x)
(* 1/7 (pow x 7))
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 7 binary32)))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (*.f32 x x))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x))))) (+.f32 #s(literal 1/7 binary32) (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (.f32 x x)))))
(* 1/7 (pow x 7))
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 7 binary32)))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (*.f32 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (fma.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) (+.f32 #s(literal 1/5 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 x x))) #s(literal 1/7 binary32)))
(/ 1/3 (pow x 4))
(/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (*.f32 x x))))
(/ (+ 1/3 (* 1/5 (pow x 2))) (pow x 4))
(/.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (.f32 x (.f32 x x))))
(/ (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))) (pow x 4))
(/.f32 (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (.f32 x (.f32 x (*.f32 x x))))
(/ (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))) (pow x 4))
(/.f32 (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (.f32 x (.f32 x (*.f32 x x))))
1/7
#s(literal 1/7 binary32)
(+ 1/7 (* 1/5 (/ 1 (pow x 2))))
(+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x)))
(+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))
(+.f32 #s(literal 1/7 binary32) (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (.f32 x x)))
(+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))
(+.f32 #s(literal 1/7 binary32) (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (.f32 x x)))
1/7
#s(literal 1/7 binary32)
(+ 1/7 (* 1/5 (/ 1 (pow x 2))))
(+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x)))
(+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))
(+.f32 #s(literal 1/7 binary32) (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (.f32 x x)))
(+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2)))))
(+.f32 #s(literal 1/7 binary32) (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (.f32 x x)))
(/ 1/5 (pow x 2))
(/.f32 #s(literal 1/5 binary32) (*.f32 x x))
(/ 1/5 (pow x 2))
(/.f32 #s(literal 1/5 binary32) (*.f32 x x))
(/ 1/5 (pow x 2))
(/.f32 #s(literal 1/5 binary32) (*.f32 x x))
(/ 1/5 (pow x 2))
(/.f32 #s(literal 1/5 binary32) (*.f32 x x))
(/ 1/5 (pow x 2))
(/.f32 #s(literal 1/5 binary32) (*.f32 x x))
(/ 1/5 (pow x 2))
(/.f32 #s(literal 1/5 binary32) (*.f32 x x))
(/ 1/5 (pow x 2))
(/.f32 #s(literal 1/5 binary32) (*.f32 x x))
(/ 1/5 (pow x 2))
(/.f32 #s(literal 1/5 binary32) (*.f32 x x))
(/ 1/5 (pow x 2))
(/.f32 #s(literal 1/5 binary32) (*.f32 x x))
(/ 1/5 (pow x 2))
(/.f32 #s(literal 1/5 binary32) (*.f32 x x))
(/ 1/5 (pow x 2))
(/.f32 #s(literal 1/5 binary32) (*.f32 x x))
(/ 1/5 (pow x 2))
(/.f32 #s(literal 1/5 binary32) (*.f32 x x))
1/5
#s(literal 1/5 binary32)
(+ 1/5 (* 1/7 (pow x 2)))
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
(+ 1/5 (* 1/7 (pow x 2)))
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
(+ 1/5 (* 1/7 (pow x 2)))
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
(/ 1/3 (pow x 4))
(/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (*.f32 x x))))
(/ 1/3 (pow x 4))
(/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (*.f32 x x))))
(/ 1/3 (pow x 4))
(/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (*.f32 x x))))
(/ 1/3 (pow x 4))
(/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (*.f32 x x))))
(/ 1/3 (pow x 4))
(/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (*.f32 x x))))
(/ 1/3 (pow x 4))
(/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (*.f32 x x))))
(/ 1/3 (pow x 4))
(/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (*.f32 x x))))
(/ 1/3 (pow x 4))
(/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (*.f32 x x))))
(/ 1/3 (pow x 4))
(/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (*.f32 x x))))
(/ 1/3 (pow x 4))
(/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (*.f32 x x))))
(/ 1/3 (pow x 4))
(/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (*.f32 x x))))
(/ 1/3 (pow x 4))
(/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (*.f32 x x))))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))

eval99.0ms (1.1%)

Memory: 5.2MiB live, 157.6MiB allocated
Compiler: Compiled 38 131 to 2 682 computations (93% saved)

prune284.0ms (3.2%)

Memory

-11.2MiB live, 165.7MiB allocated

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	682	2	684
Fresh	0	0	0
Picked	0	2	2
Done	1	7	8
Total	683	11	694

Accuracy

100.0%

Counts

694 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.6%	(fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
✓	98.8%	(fma.f32 (+.f32 (.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
✓	98.8%	(fma.f32 (.f32 (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x x)) x x)
✓	25.0%	(fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x)))))) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x))))) x x)
✓	98.0%	(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
	98.6%	(.f32 (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)
✓	98.8%	(.f32 (fma.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) #s(literal 1 binary32)) x)
	98.0%	(.f32 (fma.f32 x (.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)
✓	98.0%	(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32))))
✓	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
✓	96.3%	x

Compiler

Compiled 380 to 159 computations (58.2% saved)

regimes23.0ms (0.3%)

Memory

-16.6MiB live, 23.1MiB allocated

Counts

16 → 1

Calls

Call 1

Inputs
x
(.f32 #s(literal 1/2 binary32) (.f32 x #s(literal 2 binary32)))
(.f32 (fma.f32 x (.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)
(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32))))
(.f32 (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)
(fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))
(.f32 (fma.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) #s(literal 1 binary32)) x)
(fma.f32 (.f32 (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x x)) x x)
(fma.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)
(fma.f32 (+.f32 (.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))
(fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x)))))) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x))))) x x)
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))

Outputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))

Calls

4 calls:

8.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
5.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
5.0ms	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
5.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
99.8%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
99.8%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes22.0ms (0.2%)

Memory

3.0MiB live, 39.8MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
x
(.f32 #s(literal 1/2 binary32) (.f32 x #s(literal 2 binary32)))
(.f32 (fma.f32 x (.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)
(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32))))
(.f32 (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)
(fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))
(.f32 (fma.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) #s(literal 1 binary32)) x)
(fma.f32 (.f32 (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x x)) x x)
(fma.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)
(fma.f32 (+.f32 (.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))
(fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x)))))) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x))))) x x)

Outputs
(fma.f32 (.f32 (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x x)) x x)

Calls

4 calls:

7.0ms	x
5.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
5.0ms	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
5.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
98.8%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
98.8%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes16.0ms (0.2%)

Memory

0.1MiB live, 38.6MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
x
(.f32 #s(literal 1/2 binary32) (.f32 x #s(literal 2 binary32)))
(.f32 (fma.f32 x (.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)
(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32))))
(.f32 (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)
(fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))
(.f32 (fma.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) #s(literal 1 binary32)) x)

Outputs
(.f32 (fma.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) #s(literal 1 binary32)) x)

Calls

4 calls:

4.0ms	x
4.0ms	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
3.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
3.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
98.8%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
98.8%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes15.0ms (0.2%)

Memory

-0.9MiB live, 37.4MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
x
(.f32 #s(literal 1/2 binary32) (.f32 x #s(literal 2 binary32)))
(.f32 (fma.f32 x (.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)
(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32))))
(.f32 (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)
(fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)) #s(literal 2 binary32))))

Outputs
(fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)

Calls

4 calls:

5.0ms	x
3.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
3.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
3.0ms	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))

Results

Accuracy	Segments	Branch
98.6%	1	`x`
98.6%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
98.6%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
98.6%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes12.0ms (0.1%)

Memory

32.3MiB live, 32.3MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
x
(.f32 #s(literal 1/2 binary32) (.f32 x #s(literal 2 binary32)))
(.f32 (fma.f32 x (.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)
(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32))))
(.f32 (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)

Outputs
(.f32 (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)

Calls

4 calls:

3.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
3.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
3.0ms	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
3.0ms	x

Results

Accuracy	Segments	Branch
98.6%	1	`x`
98.6%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
98.6%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
98.6%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes13.0ms (0.2%)

Memory

-11.3MiB live, 31.6MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
x
(.f32 #s(literal 1/2 binary32) (.f32 x #s(literal 2 binary32)))
(.f32 (fma.f32 x (.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)
(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32))))

Outputs
(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)

Calls

4 calls:

5.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
3.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
2.0ms	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
2.0ms	x

Results

Accuracy	Segments	Branch
98.0%	1	`x`
98.0%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
98.0%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
98.0%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes8.0ms (0.1%)

Memory

-14.5MiB live, 25.1MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
x
(.f32 #s(literal 1/2 binary32) (.f32 x #s(literal 2 binary32)))
(.f32 (fma.f32 x (.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)

Outputs
(.f32 (fma.f32 x (.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)

Calls

4 calls:

2.0ms	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
2.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
2.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
2.0ms	x

Results

Accuracy	Segments	Branch
98.0%	1	`x`
98.0%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
98.0%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
98.0%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes7.0ms (0.1%)

Memory

22.2MiB live, 22.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

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

Outputs
x

Calls

4 calls:

2.0ms	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
2.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
2.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
1.0ms	x

Results

Accuracy	Segments	Branch
96.3%	1	`x`
96.3%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
96.3%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
96.3%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify8.0ms (0.1%)

Memory

-18.9MiB live, 20.2MiB allocated

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary32`
4×	`sub-neg_binary32`
4×	`+-commutative_binary32`
2×	`neg-sub0_binary32`
2×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	89
1	46	89
2	50	89
3	52	89
4	53	89

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(fma.f32 (.f32 (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x x)) x x)
(.f32 (fma.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) #s(literal 1 binary32)) x)
(fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
(.f32 (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)
(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
(.f32 (fma.f32 x (.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)
x

Outputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(fma.f32 (.f32 (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x x)) x x)
(fma.f32 (.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) x x)
(.f32 (fma.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) #s(literal 1 binary32)) x)
(.f32 x (fma.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) #s(literal 1 binary32)))
(fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
(.f32 (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)
(.f32 x (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
(.f32 (fma.f32 x (.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)
(.f32 x (fma.f32 x (.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)))
x

soundness921.0ms (10.5%)

Memory

6.9MiB live, 641.9MiB allocated

Rules

12 938×	`lower-fma.f64`
12 938×	`lower-fma.f32`
12 354×	`lower-fma.f64`
12 354×	`lower-fma.f32`
8 088×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	404
1	312	390
2	798	382
3	2146	380
4	4029	380
5	6487	380
0	8272	358
0	26	177
0	51	171
1	202	171
2	1342	171
0	8459	171
0	22	108
0	44	100
1	175	98
2	1247	95
0	8223	94
0	79	1230
1	257	1218
2	700	1206
3	1929	1206
4	4002	1206
5	6599	1206
0	8131	1129

Stop Event

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

Compiler

Compiled 155 to 74 computations (52.3% saved)

preprocess51.0ms (0.6%)

Memory: -2.6MiB live, 155.7MiB allocated
Compiler: Compiled 202 to 80 computations (60.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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	9	10
0	15	10
1	24	10
2	31	10
3	37	10
4	44	10
5	58	10
6	96	10
7	163	10
8	221	10
9	249	10
10	260	10
11	270	10
12	270	10
0	270	10

Iter	Nodes	Cost
0	9	35
0	15	35
1	24	35
2	31	35
3	37	35
4	44	35
5	58	35
6	96	35
7	163	35
8	221	35
9	249	35
10	260	35
11	270	35
12	270	35
0	270	35

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	9	10
0	15	10
1	24	10
2	31	10
3	37	10
4	44	10
5	58	10
6	96	10
7	163	10
8	221	10
9	249	10
10	260	10
11	270	10
12	270	10
0	270	10

Iter	Nodes	Cost
0	9	35
0	15	35
1	24	35
2	31	35
3	37	35
4	44	35
5	58	35
6	96	35
7	163	35
8	221	35
9	249	35
10	260	35
11	270	35
12	270	35
0	270	35

analyze1.0ms (0%)

sample475.0ms (5.4%)

preprocess33.0ms (0.4%)

explain143.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify39.0ms (0.4%)

localize39.0ms (0.4%)

series26.0ms (0.3%)

rewrite434.0ms (5%)

simplify805.0ms (9.2%)

eval56.0ms (0.6%)

prune60.0ms (0.7%)

simplify689.0ms (7.9%)

localize90.0ms (1%)

series15.0ms (0.2%)

rewrite510.0ms (5.8%)

simplify283.0ms (3.2%)

eval70.0ms (0.8%)

prune113.0ms (1.3%)

simplify574.0ms (6.6%)

localize150.0ms (1.7%)

series9.0ms (0.1%)

rewrite594.0ms (6.8%)

simplify348.0ms (4%)

eval144.0ms (1.6%)

prune121.0ms (1.4%)

simplify263.0ms (3%)

localize395.0ms (4.5%)

series7.0ms (0.1%)

rewrite450.0ms (5.1%)

simplify337.0ms (3.9%)

eval99.0ms (1.1%)

prune284.0ms (3.2%)

regimes23.0ms (0.3%)

regimes22.0ms (0.2%)

regimes16.0ms (0.2%)

regimes15.0ms (0.2%)

regimes12.0ms (0.1%)

regimes13.0ms (0.2%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

simplify8.0ms (0.1%)

soundness921.0ms (10.5%)

preprocess51.0ms (0.6%)

end0.0ms (0%)

Profiling

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	9	10
0	15	10
1	24	10
2	31	10
3	37	10
4	44	10
5	58	10
6	96	10
7	163	10
8	221	10
9	249	10
10	260	10
11	270	10
12	270	10
0	270	10

Iter	Nodes	Cost
0	9	35
0	15	35
1	24	35
2	31	35
3	37	35
4	44	35
5	58	35
6	96	35
7	163	35
8	221	35
9	249	35
10	260	35
11	270	35
12	270	35
0	270	35