Metrics for Rust f32::atanh

analyze1.0ms (0%)

Memory

1.3MiB live, 1.3MiB 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)

sample616.0ms (6.7%)

Memory

2.6MiB live, 483.7MiB allocated

Samples

351.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 189.0ms

ival-atanh: 182.0ms (96.3% of total)

ival-true: 5.0ms (2.6% of total)

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

Bogosity

preprocess43.0ms (0.5%)

Memory

-0.7MiB live, 35.0MiB 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))))

explain159.0ms (1.7%)

Memory

2.4MiB live, 164.5MiB 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

29.0ms

512×

valid

Compiler

Compiled 104 to 40 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 6.0ms (34.1% of total)

ival-div: 4.0ms (22.8% of total)

ival-log1p: 4.0ms (22.8% of total)

ival-sub: 3.0ms (17.1% of total)

exact: 1.0ms (5.7% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(.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)

simplify13.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB 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)

localize71.0ms (0.8%)

Memory

-9.1MiB live, 27.4MiB 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

61.0ms

256×

valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-sub: 48.0ms (87% of total)

ival-mult: 3.0ms (5.4% of total)

ival-div: 2.0ms (3.6% of total)

ival-log1p: 2.0ms (3.6% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0%)

Memory

2.3MiB live, 2.3MiB 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
1.0ms	x	@	0	(* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x)))))
1.0ms	x	@	-inf	(* 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)

rewrite309.0ms (3.4%)

Memory

1.6MiB live, 443.5MiB 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 (.f32 #s(literal 2 binary32) x) (+.f32 #s(literal -1 binary32) (*.f32 x x))) (+.f32 x #s(literal -1 binary32)))
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(-.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))
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(*.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))

simplify368.0ms (4%)

Memory

33.3MiB live, 581.2MiB 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))

eval28.0ms (0.3%)

Memory: -22.3MiB live, 62.2MiB allocated
Compiler: Compiled 5 004 to 805 computations (83.9% saved)

prune56.0ms (0.6%)

Memory

9.0MiB live, 86.8MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	201	8	209
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	201	9	210

Accuracy

100.0%

Counts

210 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(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)
	97.7%	(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
▶	99.0%	(.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))))
▶	98.5%	(.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))))
▶	97.6%	(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
▶	95.8%	(.f32 #s(literal 1/2 binary32) (.f32 x #s(literal 2 binary32)))
▶	99.9%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))
✓	99.7%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))

Compiler

Compiled 235 to 149 computations (36.6% saved)

simplify406.0ms (4.4%)

Memory

11.8MiB live, 774.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f32 x x)
✓	cost-diff	0	(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))
✓	cost-diff	0	(.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)))
✓	cost-diff	0	(.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))))
✓	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	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))))
✓	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 #s(literal 2 binary32))
✓	cost-diff	320	(.f32 #s(literal 1/2 binary32) (.f32 x #s(literal 2 binary32)))
✓	cost-diff	0	(*.f32 #s(literal 2 binary32) (fma.f32 x x x))
✓	cost-diff	0	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))
✓	cost-diff	0	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))
✓	cost-diff	192	(/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))

Rules

15 682×	`lower-fma.f64`
15 666×	`lower-fma.f32`
5 810×	`lower-*.f64`
5 782×	`lower-*.f32`
2 878×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	242
0	65	238
1	155	238
2	396	233
3	891	233
4	2837	232
5	4156	232
6	6035	223
0	8069	219

Stop Event

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

Calls

Call 1

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

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

localize155.0ms (1.7%)

Memory

-2.1MiB live, 307.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32))
✓	accuracy	99.9%	(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))
✓	accuracy	99.8%	(.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)))
✓	accuracy	98.2%	(*.f32 x #s(literal 2/7 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%	(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
✓	accuracy	99.8%	(.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	99.4%	(*.f32 x #s(literal 2/5 binary32))
✓	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	99.8%	(.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
✓	accuracy	98.9%	(*.f32 x #s(literal 2/3 binary32))
✓	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%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))
✓	accuracy	100.0%	(neg.f32 x)
✓	accuracy	99.9%	(/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))
✓	accuracy	99.9%	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))

Samples

80.0ms

256×

valid

Compiler

Compiled 279 to 41 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 33.0ms (53.5% of total)

ival-add: 13.0ms (21.1% of total)

const: 11.0ms (17.8% of total)

ival-div: 2.0ms (3.2% of total)

ival-log1p: 2.0ms (3.2% of total)

ival-neg: 1.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series33.0ms (0.4%)

Memory

-12.5MiB live, 26.3MiB allocated

Counts

23 → 276

Calls

Call 1

Inputs
#<alt (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))>
#<alt (.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))>
#<alt (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))>
#<alt (*.f32 #s(literal 2 binary32) (fma.f32 x x x))>
#<alt (.f32 #s(literal 1/2 binary32) (.f32 x #s(literal 2 binary32)))>
#<alt (*.f32 x #s(literal 2 binary32))>
#<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 (.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 x x)>
#<alt (.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))))>
#<alt (.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)))>
#<alt (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))>
#<alt (neg.f32 x)>
#<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 #s(literal 2/7 binary32))>
#<alt (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))>
#<alt (fma.f32 x (*.f32 x #s(literal 2/7 binary32)) #s(literal 2/5 binary32))>

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

Calls

69 calls:

Time	Variable		Point	Expression
20.0ms	x	@	inf	(* 1/2 (* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 2/7)) 2/5)) 2/3)) 2)))
1.0ms	x	@	-inf	(* 1/2 (* x 2))
1.0ms	x	@	inf	(* 1/2 (* x (+ (* x (* x 2/3)) 2)))
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 2/3)) 2)))

rewrite414.0ms (4.5%)

Memory

40.3MiB live, 627.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 384×	`lower-fma.f64`
6 368×	`lower-fma.f32`
4 426×	`lower-*.f64`
4 398×	`lower-*.f32`
3 680×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	208
0	65	208
1	269	206
2	2020	206
0	8441	206

Stop Event

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

Counts

23 → 525

Calls

Call 1

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

Outputs
(neg.f32 (*.f32 #s(literal -2 binary32) (/.f32 (fma.f32 x x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))
(neg.f32 (/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))
(exp.f32 (.f32 (log.f32 (/.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) (fma.f32 x x x)))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (fma.f32 x x x))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (fma.f32 x x x))) #s(literal 1 binary32)) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) (*.f32 #s(literal -2 binary32) (/.f32 (fma.f32 x x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))
(/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (fma.f32 x x x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (fma.f32 x x x))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (fma.f32 x x x))))))
(/.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)) (neg.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (fma.f32 x x x)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (fma.f32 x x x))) #s(literal 1 binary32))))
(/.f32 (.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) #s(literal 1 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))
(/.f32 (.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (fma.f32 x x x))) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))
(/.f32 (.f32 #s(literal 1 binary32) (.f32 (fma.f32 x x x) #s(literal -2 binary32))) (neg.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32))) (neg.f32 (neg.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) #s(literal 1 binary32))) (neg.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))
(/.f32 (neg.f32 (.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (fma.f32 x x x)))) (neg.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))
(/.f32 (neg.f32 (.f32 #s(literal 1 binary32) (.f32 (fma.f32 x x x) #s(literal -2 binary32)))) (neg.f32 (neg.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (*.f32 (fma.f32 x x x) #s(literal -2 binary32)))) (neg.f32 (neg.f32 (neg.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))))
(*.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))
(.f32 (fma.f32 x x x) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))
(*.f32 (fma.f32 x x x) (/.f32 #s(literal 2 binary32) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))
(.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (/.f32 #s(literal 1 binary32) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))
(.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))
(.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32))
(.f32 (.f32 (fma.f32 x x x) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (.f32 #s(literal 2 binary32) (fma.f32 x x x)))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 (fma.f32 x x x) #s(literal -2 binary32))) #s(literal -1 binary32)))
(.f32 #s(literal -1 binary32) (/.f32 (.f32 (fma.f32 x x x) #s(literal -2 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))
(*.f32 (/.f32 (fma.f32 x x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 2 binary32))
(.f32 (.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (fma.f32 x x x))) (/.f32 #s(literal 1 binary32) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))
(*.f32 #s(literal -2 binary32) (/.f32 (neg.f32 (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))
(.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x))) #s(literal 1 binary32))) (-.f32 (fma.f32 (.f32 x x) (.f32 x x) #s(literal 1 binary32)) (neg.f32 (*.f32 x x))))
(.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (.f32 x x) (.f32 x x) #s(literal 1 binary32)) (neg.f32 (*.f32 x x))))))
(.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 (.f32 x x) (.f32 x x) #s(literal -1 binary32))) (fma.f32 x (neg.f32 x) #s(literal -1 binary32)))
(.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 (.f32 x x) (.f32 x x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (neg.f32 x) #s(literal -1 binary32)))))
(.f32 (/.f32 (fma.f32 x x x) (fma.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x))) #s(literal 1 binary32))) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (.f32 x x) (.f32 x x) #s(literal 1 binary32)) (neg.f32 (.f32 x x))))))
(.f32 (/.f32 (fma.f32 x x x) (fma.f32 (.f32 x x) (*.f32 x x) #s(literal -1 binary32))) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (neg.f32 x) #s(literal -1 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x))) #s(literal 1 binary32))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (.f32 x x) (.f32 x x) #s(literal 1 binary32)) (neg.f32 (*.f32 x x))))))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) (.f32 x x) #s(literal -1 binary32))) (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (/.f32 #s(literal 1 binary32) (fma.f32 x (neg.f32 x) #s(literal -1 binary32)))))
(.f32 (/.f32 #s(literal 2 binary32) (fma.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x))) #s(literal 1 binary32))) (/.f32 (fma.f32 x x x) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (.f32 x x) (.f32 x x) #s(literal 1 binary32)) (neg.f32 (.f32 x x))))))
(.f32 (/.f32 #s(literal 2 binary32) (fma.f32 (.f32 x x) (*.f32 x x) #s(literal -1 binary32))) (/.f32 (fma.f32 x x x) (/.f32 #s(literal 1 binary32) (fma.f32 x (neg.f32 x) #s(literal -1 binary32)))))
(.f32 (/.f32 (+.f32 x #s(literal 1 binary32)) (fma.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x))) #s(literal 1 binary32))) (/.f32 (.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (.f32 x x) (.f32 x x) #s(literal 1 binary32)) (neg.f32 (*.f32 x x))))))
(.f32 (/.f32 (+.f32 x #s(literal 1 binary32)) (fma.f32 (.f32 x x) (.f32 x x) #s(literal -1 binary32))) (/.f32 (.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) (fma.f32 x (neg.f32 x) #s(literal -1 binary32)))))
(.f32 (/.f32 (.f32 #s(literal 2 binary32) (+.f32 x #s(literal 1 binary32))) (fma.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x))) #s(literal 1 binary32))) (/.f32 x (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (.f32 x x) (.f32 x x) #s(literal 1 binary32)) (neg.f32 (*.f32 x x))))))
(.f32 (/.f32 (.f32 #s(literal 2 binary32) (+.f32 x #s(literal 1 binary32))) (fma.f32 (.f32 x x) (.f32 x x) #s(literal -1 binary32))) (/.f32 x (/.f32 #s(literal 1 binary32) (fma.f32 x (neg.f32 x) #s(literal -1 binary32)))))
(*.f32 (/.f32 (fma.f32 x x x) #s(literal -1 binary32)) (/.f32 #s(literal -2 binary32) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))
(*.f32 (/.f32 (neg.f32 (fma.f32 x x x)) #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))
(.f32 (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) #s(literal 1/2 binary32))
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))
(neg.f32 (log.f32 (/.f32 (fma.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 #s(literal 8 binary32) (.f32 (/.f32 (fma.f32 x x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (.f32 (/.f32 (fma.f32 x x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (/.f32 (fma.f32 x x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))) #s(literal 1 binary32)))))
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) (/.f32 (fma.f32 x x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 (fma.f32 x x x) #s(literal -2 binary32)) (.f32 (fma.f32 x x x) #s(literal -2 binary32))) (*.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))))))
(+.f32 (log1p.f32 (/.f32 (.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (.f32 (.f32 (fma.f32 x x x) #s(literal -2 binary32)) (.f32 (fma.f32 x x x) #s(literal -2 binary32)))) (.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(+.f32 (log1p.f32 (neg.f32 (/.f32 (.f32 (.f32 (fma.f32 x x x) #s(literal -2 binary32)) (.f32 (fma.f32 x x x) #s(literal -2 binary32))) (.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (/.f32 (fma.f32 x x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (fma.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 #s(literal 8 binary32) (.f32 (/.f32 (fma.f32 x x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (.f32 (/.f32 (fma.f32 x x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (/.f32 (fma.f32 x x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))) #s(literal 1 binary32)))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) (/.f32 (fma.f32 x x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 (fma.f32 x x x) #s(literal -2 binary32)) (.f32 (fma.f32 x x x) #s(literal -2 binary32))) (*.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))))))
(-.f32 (log1p.f32 (/.f32 (.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (.f32 (.f32 (fma.f32 x x x) #s(literal -2 binary32)) (.f32 (fma.f32 x x x) #s(literal -2 binary32)))) (.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))) (log1p.f32 (.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32)))))
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(/.f32 (-.f32 #s(literal 4/25 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 4/49 binary32))) (-.f32 #s(literal 2/5 binary32) (.f32 (.f32 x x) #s(literal 2/7 binary32))))
(/.f32 (-.f32 (.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 4/49 binary32)) (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32))) (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32)) #s(literal 4/25 binary32))) (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32)) (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 8/343 binary32)) #s(literal 8/125 binary32)))) (neg.f32 (neg.f32 (fma.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 4/49 binary32) (-.f32 #s(literal 4/25 binary32) (.f32 (.f32 x x) #s(literal 4/35 binary32)))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 4/49 binary32) #s(literal -4/25 binary32)))) (neg.f32 (neg.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 4/25 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 4/49 binary32)))) (neg.f32 (-.f32 #s(literal 2/5 binary32) (.f32 (.f32 x x) #s(literal 2/7 binary32)))))
(/.f32 (-.f32 (pow.f32 (/.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 4/49 binary32)) (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 4/25 binary32) (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 4/49 binary32)) (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32))) (/.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 4/49 binary32)) (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32))) (fma.f32 (/.f32 #s(literal 4/25 binary32) (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32))) (/.f32 #s(literal 4/25 binary32) (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32))) (.f32 (/.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 4/49 binary32)) (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32))) (/.f32 #s(literal 4/25 binary32) (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32)))))))
(.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 8/343 binary32)) #s(literal 8/125 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 4/49 binary32) (-.f32 #s(literal 4/25 binary32) (.f32 (*.f32 x x) #s(literal 4/35 binary32))))))
(.f32 (fma.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 4/49 binary32) #s(literal -4/25 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32))))

simplify516.0ms (5.6%)

Memory

2.0MiB live, 676.7MiB allocated

Algorithm

1×	egg-herbie

Rules

18 256×	`lower-fma.f64`
18 256×	`lower-fma.f32`
5 214×	`lower-*.f64`
5 214×	`lower-*.f32`
2 960×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	208	2104
1	676	2060
2	1788	2042
3	4984	2026
0	8985	1910

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 260

Calls

Call 1

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

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

eval92.0ms (1%)

Memory: -20.5MiB live, 186.4MiB allocated
Compiler: Compiled 24 447 to 2 374 computations (90.3% saved)

prune90.0ms (1%)

Memory

-5.9MiB live, 230.6MiB allocated

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	821	4	825
Fresh	1	2	3
Picked	2	3	5
Done	0	1	1
Total	824	10	834

Accuracy

100.0%

Counts

834 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(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)
▶	97.7%	(fma.f32 x (.f32 (.f32 x x) #s(literal 1/3 binary32)) x)
▶	95.8%	(*.f32 x #s(literal 1 binary32))
▶	98.5%	(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 (.f32 x (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))) x #s(literal 2 binary32))))
✓	99.0%	(.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))))
	99.0%	(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 x (.f32 (.f32 x (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))) (.f32 x x)) (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
✓	97.6%	(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
✓	99.9%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))
✓	99.7%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))

Compiler

Compiled 233 to 143 computations (38.6% saved)

simplify408.0ms (4.4%)

Memory

-25.8MiB live, 357.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

10 840×	`lower-fma.f64`
10 824×	`lower-fma.f32`
4 730×	`lower-*.f64`
4 712×	`lower-*.f32`
2 344×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	164
0	51	149
1	112	149
2	329	149
3	707	149
4	1451	149
5	2589	149
6	3795	149
7	3981	149
8	4120	149
9	4160	149
10	4162	149
11	4164	149
12	4360	149
13	4586	149
14	4612	149
15	4612	149
16	7791	149
0	8406	148

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

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

localize126.0ms (1.4%)

Memory

7.8MiB live, 203.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))
✓	accuracy	99.8%	(.f32 x (fma.f32 (.f32 x (fma.f32 x (*.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))) x #s(literal 2 binary32)))
✓	accuracy	99.4%	(*.f32 x #s(literal 2/5 binary32))
✓	accuracy	99.1%	(.f32 x (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32)))
✓	accuracy	100.0%	(*.f32 x x)
✓	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	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 (.f32 x x) #s(literal 1/3 binary32)) x)
✓	accuracy	100.0%	(*.f32 x x)
✓	accuracy	99.4%	(.f32 (.f32 x x) #s(literal 1/3 binary32))
✓	accuracy	100.0%	(*.f32 x #s(literal 1 binary32))
✓	accuracy	99.9%	(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	98.2%	(*.f32 x #s(literal 1/7 binary32))

Samples

87.0ms

256×

valid

Compiler

Compiled 184 to 36 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

const: 39.0ms (52.7% of total)

ival-mult: 26.0ms (35.1% of total)

ival-add: 9.0ms (12.2% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Memory

19.5MiB live, 19.5MiB allocated

Counts

17 → 204

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

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 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 (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (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 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 (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 (* (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 (* 2/3 x)>
#<alt (* x (+ 2/3 (* 2/5 (pow x 2))))>
#<alt (* x (+ 2/3 (* 2/5 (pow x 2))))>
#<alt (* x (+ 2/3 (* 2/5 (pow x 2))))>
#<alt (* 2/5 (pow x 3))>
#<alt (* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* 2/5 (pow x 3))>
#<alt (* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 2/5 (* 2/3 (/ 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)>
#<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)))))>

Calls

51 calls:

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

rewrite537.0ms (5.8%)

Memory

-11.0MiB live, 540.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 466×	`lower-fma.f64`
5 450×	`lower-fma.f32`
5 292×	`lower-*.f64`
5 274×	`lower-*.f32`
4 244×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	137
0	51	128
1	209	128
2	1566	128
0	8128	127

Stop Event

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

Counts

17 → 507

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

Outputs
(+.f32 x (.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)))))
(+.f32 (.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)
(pow.f32 (/.f32 #s(literal 1 binary32) (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)) #s(literal -1 binary32))
(fma.f32 x #s(literal 1 binary32) (.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)))))
(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 binary32) x (.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)))))
(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 (.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 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) (.f32 x (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 x (.f32 (.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 (.f32 x (.f32 x x)) (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))))) #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)
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(/.f32 (-.f32 (pow.f32 (/.f32 (.f32 (.f32 (.f32 x x) (.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 (.f32 x x) (.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 (.f32 x x) (.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 (.f32 x x) (.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 #s(literal 1 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 (.f32 x x) (.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) (-.f32 (.f32 (.f32 (.f32 x x) (.f32 x x)) #s(literal 4/25 binary32)) (.f32 (.f32 x x) #s(literal 4/15 binary32))))))
(.f32 (fma.f32 (.f32 (.f32 x x) (.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 (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 (.f32 x x) (.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 (.f32 x x) (.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 (.f32 x x) (.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)))))

simplify248.0ms (2.7%)

Memory

8.0MiB live, 453.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 754×	`lower-fma.f64`
7 754×	`lower-fma.f32`
4 038×	`lower-*.f64`
4 038×	`lower-*.f32`
1 508×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	114	1456
1	377	1420
2	990	1411
3	2721	1404
4	6115	1404
0	8116	1308

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 188

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
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))))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (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)))
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)))))
(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 (* (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)))))
(* 2/3 x)
(* x (+ 2/3 (* 2/5 (pow x 2))))
(* x (+ 2/3 (* 2/5 (pow x 2))))
(* x (+ 2/3 (* 2/5 (pow x 2))))
(* 2/5 (pow x 3))
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* 2/5 (pow x 3))
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/5 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 2/5 (* 2/3 (/ 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)
(* 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)))))

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

eval82.0ms (0.9%)

Memory: 18.4MiB live, 244.6MiB allocated
Compiler: Compiled 26 100 to 2 078 computations (92% saved)

prune153.0ms (1.7%)

Memory

-1.9MiB live, 235.2MiB allocated

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	794	3	797
Fresh	0	1	1
Picked	2	3	5
Done	0	4	4
Total	796	11	807

Accuracy

100.0%

Counts

807 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.1%	(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 (.f32 (.f32 x (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))) x) x x)
✓	97.7%	(fma.f32 x (.f32 (.f32 x x) #s(literal 1/3 binary32)) x)
▶	97.6%	(.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
✓	98.5%	(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 (.f32 x (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))) x #s(literal 2 binary32))))
✓	99.0%	(.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))))
▶	99.0%	(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 x (.f32 (.f32 x (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))) (.f32 x x)) (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
✓	97.6%	(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
✓	99.9%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))
✓	99.7%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
▶	95.8%	x

Compiler

Compiled 153 to 97 computations (36.6% saved)

simplify1.0s (11.3%)

Memory

-23.6MiB live, 986.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

39 358×	`lower-fma.f64`
39 346×	`lower-fma.f32`
8 934×	`lower-+.f64`
8 934×	`lower-+.f32`
3 724×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	174
0	45	174
1	105	174
2	268	164
3	656	160
4	2417	160
5	4584	160
6	4762	160
7	4817	160
8	4817	160
9	4817	160
0	8237	154

Stop Event

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

Calls

Call 1

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

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

localize194.0ms (2.1%)

Memory

2.5MiB live, 118.6MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	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	99.6%	(.f32 (.f32 x (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))) x)
✓	accuracy	99.1%	(.f32 x (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)))
✓	accuracy	100.0%	(fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32))
✓	accuracy	100.0%	(*.f32 x x)
✓	accuracy	99.8%	(.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
✓	accuracy	99.8%	(.f32 x (fma.f32 x (.f32 (.f32 x (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))) (.f32 x x)) (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
✓	accuracy	99.7%	(.f32 (.f32 x (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))) (.f32 x x))
✓	accuracy	99.3%	(.f32 x (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)))
✓	accuracy	98.9%	(*.f32 x #s(literal 2/3 binary32))

Samples

58.0ms

256×

valid

Compiler

Compiled 196 to 32 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 21.0ms (51.5% of total)

const: 13.0ms (31.9% of total)

ival-add: 6.0ms (14.7% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

Counts

13 → 156

Calls

Call 1

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

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

Calls

39 calls:

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

rewrite961.0ms (10.4%)

Memory

6.4MiB live, 564.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 940×	`lower-fma.f64`
6 928×	`lower-fma.f32`
5 040×	`lower-*.f64`
5 022×	`lower-*.f32`
4 138×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	143
0	45	143
1	184	134
2	1323	134
0	8175	127

Stop Event

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

Counts

13 → 459

Calls

Call 1

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

Outputs
(+.f32 #s(literal 2 binary32) (.f32 x (fma.f32 x (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))) (*.f32 x #s(literal 2/3 binary32)))))
(+.f32 (fma.f32 (.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32)) (.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (.f32 x x)))))
(+.f32 (.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (.f32 x x)))) (fma.f32 (.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32)))
(+.f32 (.f32 x (.f32 x #s(literal 2/3 binary32))) (+.f32 #s(literal 2 binary32) (.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (*.f32 x x))))))
(+.f32 (.f32 x (fma.f32 x (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))) (*.f32 x #s(literal 2/3 binary32)))) #s(literal 2 binary32))
(+.f32 (/.f32 (.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (.f32 x x))) (.f32 (.f32 x x) (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (.f32 x x))))) (fma.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (.f32 x x))) (neg.f32 (fma.f32 (.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32))))) (neg.f32 (/.f32 (.f32 (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))) (fma.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (.f32 x x))) (neg.f32 (fma.f32 (.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32)))))))
(+.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))) #s(literal 2 binary32)) (.f32 x (.f32 x #s(literal 2/3 binary32))))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))) (.f32 x #s(literal 2/3 binary32))) #s(literal 2 binary32))) #s(literal -1 binary32))
(fma.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (.f32 x 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)) (+.f32 #s(literal 2 binary32) (.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (.f32 x x))))))
(fma.f32 x (fma.f32 x (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))) (.f32 x #s(literal 2/3 binary32))) #s(literal 2 binary32))
(fma.f32 (.f32 x x) #s(literal 2/3 binary32) (+.f32 #s(literal 2 binary32) (.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (.f32 x x))))))
(fma.f32 (.f32 x x) (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))) (fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32)))
(fma.f32 (.f32 x (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))) (.f32 x (.f32 x x)) (fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32)))
(fma.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (.f32 x x))) x (fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32)))
(fma.f32 #s(literal 2/3 binary32) (.f32 x x) (+.f32 #s(literal 2 binary32) (.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (.f32 x x))))))
(fma.f32 (.f32 x #s(literal 2/3 binary32)) x (+.f32 #s(literal 2 binary32) (.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (.f32 x x))))))
(fma.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32)) (.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (.f32 x x)))))
(fma.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 8/27 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/9 binary32)) #s(literal 4 binary32)) (.f32 (.f32 x x) #s(literal 4/3 binary32)))) (.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (*.f32 x x)))))
(fma.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 8/27 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (-.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/9 binary32))) (.f32 (.f32 x x) #s(literal 4/3 binary32))))) (.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (.f32 x x)))))
(fma.f32 (.f32 x (.f32 x x)) (.f32 x (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))) (fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32)))
(fma.f32 (.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (.f32 x x))) (.f32 (.f32 x x) (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (.f32 x x))))) (/.f32 #s(literal 1 binary32) (fma.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (.f32 x x))) (neg.f32 (fma.f32 (.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32))))) (neg.f32 (/.f32 (.f32 (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))) (fma.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (.f32 x x))) (neg.f32 (fma.f32 (.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32)))))))
(fma.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/9 binary32)) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal -2 binary32))) (.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (*.f32 x x)))))
(fma.f32 (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))) (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32)))
(fma.f32 (neg.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 8/27 binary32)) #s(literal 8 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/9 binary32)) #s(literal 4 binary32)) (.f32 (.f32 x x) #s(literal 4/3 binary32))))) (.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (*.f32 x x)))))
(fma.f32 (neg.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/9 binary32)) #s(literal -4 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal -2 binary32)))) (.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (*.f32 x x)))))
(fma.f32 (fma.f32 (.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (.f32 x x)))) (.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (.f32 x x))) (.f32 (.f32 x x) (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (.f32 x x))))) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 8/27 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 x (.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (.f32 x x))) (.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (.f32 x x))))) (-.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/9 binary32))) (.f32 (.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (.f32 x x)))) (.f32 x (.f32 x #s(literal 2/3 binary32))))))) #s(literal 2 binary32))
(fma.f32 (.f32 (.f32 x (fma.f32 x (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))) (.f32 x #s(literal 2/3 binary32)))) (-.f32 (.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (.f32 x x)))) (.f32 x (.f32 x #s(literal 2/3 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 (.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (.f32 x x)))) (.f32 x (.f32 x #s(literal 2/3 binary32))))) #s(literal 2 binary32))
(fma.f32 (-.f32 #s(literal 4 binary32) (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/9 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (.f32 x (.f32 x #s(literal 2/3 binary32))))) (.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (*.f32 x x)))))
(-.f32 (/.f32 (.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (.f32 x x))) (.f32 (.f32 x x) (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (.f32 x x))))) (fma.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (.f32 x x))) (neg.f32 (fma.f32 (.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32))))) (/.f32 (.f32 (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))) (fma.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (.f32 x x))) (neg.f32 (fma.f32 (.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32))))))
(-.f32 (/.f32 (.f32 (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 (fma.f32 (.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32)) (.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (.f32 x x)))))) (/.f32 (.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (.f32 x x))) (.f32 (.f32 x x) (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (.f32 x x))))) (-.f32 (fma.f32 (.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32)) (.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (.f32 x x)))))))
(-.f32 (/.f32 (.f32 (.f32 x (fma.f32 x (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))) (.f32 x #s(literal 2/3 binary32)))) (.f32 x (fma.f32 x (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))) (.f32 x #s(literal 2/3 binary32))))) (fma.f32 x (fma.f32 x (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))) (.f32 x #s(literal 2/3 binary32))) #s(literal -2 binary32))) (/.f32 #s(literal 4 binary32) (fma.f32 x (fma.f32 x (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))) (*.f32 x #s(literal 2/3 binary32))) #s(literal -2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))) (.f32 x #s(literal 2/3 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (fma.f32 x (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))) (.f32 x #s(literal 2/3 binary32))) #s(literal 2 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (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 (.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (.f32 x x))) (.f32 (.f32 x x) (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (.f32 x x))))) (.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (.f32 x x))) (.f32 x (fma.f32 (.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32)))))) (fma.f32 (.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (.f32 x x)))) (.f32 (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (.f32 x x))) (.f32 (.f32 x x) (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (.f32 x x))))) (.f32 (fma.f32 (.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32)) (.f32 (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 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 x x) (.f32 (fma.f32 x (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))) (.f32 x #s(literal 2/3 binary32))) (fma.f32 x (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))) (.f32 x #s(literal 2/3 binary32)))) (-.f32 #s(literal 4 binary32) (.f32 (.f32 x (fma.f32 x (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))) (.f32 x #s(literal 2/3 binary32)))) #s(literal 2 binary32)))) (fma.f32 (.f32 x (fma.f32 x (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))) (.f32 x #s(literal 2/3 binary32)))) (.f32 (.f32 x (fma.f32 x (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))) (.f32 x #s(literal 2/3 binary32)))) (.f32 x (fma.f32 x (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))) (.f32 x #s(literal 2/3 binary32))))) #s(literal 8 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 (.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32)) (.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (.f32 x x))))) (.f32 (fma.f32 x (fma.f32 x (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))) (.f32 x #s(literal 2/3 binary32))) #s(literal 2 binary32)) (-.f32 (fma.f32 (.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32)) (.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (*.f32 x x))))))))
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(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (.f32 (.f32 x x) #s(literal 2/7 binary32)) (neg.f32 (.f32 x #s(literal 2/5 binary32)))) (-.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/49 binary32)))) (.f32 (*.f32 x x) #s(literal 4/25 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/49 binary32)) (-.f32 #s(literal 4/25 binary32) (.f32 (.f32 x x) #s(literal 4/35 binary32)))) (.f32 x (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (*.f32 x x)) #s(literal 8/343 binary32)) #s(literal 8/125 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32)) (.f32 x (fma.f32 (.f32 x x) (.f32 (*.f32 x x) #s(literal 4/49 binary32)) #s(literal -4/25 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/49 binary32)) (-.f32 #s(literal 4/25 binary32) (.f32 (.f32 x x) #s(literal 4/35 binary32)))) (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (*.f32 x x)) #s(literal 8/343 binary32)) #s(literal 8/125 binary32)) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32)) (.f32 (fma.f32 (.f32 x x) (.f32 (*.f32 x x) #s(literal 4/49 binary32)) #s(literal -4/25 binary32)) x)))
(/.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))) #s(literal 8/343 binary32)) (.f32 (.f32 x (.f32 x x)) #s(literal 8/125 binary32))) (fma.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/49 binary32))) (-.f32 (.f32 (.f32 x x) #s(literal 4/25 binary32)) (.f32 (.f32 x (.f32 (.f32 x x) #s(literal 2/7 binary32))) (*.f32 x #s(literal 2/5 binary32))))))
(/.f32 (-.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/49 binary32)))) (.f32 (.f32 x x) #s(literal 4/25 binary32))) (fma.f32 x (.f32 (.f32 x x) #s(literal 2/7 binary32)) (neg.f32 (*.f32 x #s(literal 2/5 binary32)))))
(/.f32 (.f32 x (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 8/343 binary32)) #s(literal 8/125 binary32))) (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/49 binary32)) (-.f32 #s(literal 4/25 binary32) (.f32 (*.f32 x x) #s(literal 4/35 binary32)))))
(/.f32 (.f32 x (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/49 binary32)) #s(literal -4/25 binary32))) (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32)))
(/.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 8/343 binary32)) #s(literal 8/125 binary32)) x) (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/49 binary32)) (-.f32 #s(literal 4/25 binary32) (.f32 (*.f32 x x) #s(literal 4/35 binary32)))))
(/.f32 (.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/49 binary32)) #s(literal -4/25 binary32)) x) (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32)))
(/.f32 (neg.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))) #s(literal 8/343 binary32)) (.f32 (.f32 x (.f32 x x)) #s(literal 8/125 binary32)))) (neg.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/49 binary32))) (-.f32 (.f32 (.f32 x x) #s(literal 4/25 binary32)) (.f32 (.f32 x (.f32 (.f32 x x) #s(literal 2/7 binary32))) (*.f32 x #s(literal 2/5 binary32)))))))
(/.f32 (neg.f32 (-.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/49 binary32)))) (.f32 (.f32 x x) #s(literal 4/25 binary32)))) (neg.f32 (fma.f32 x (.f32 (.f32 x x) #s(literal 2/7 binary32)) (neg.f32 (*.f32 x #s(literal 2/5 binary32))))))
(/.f32 (neg.f32 (.f32 x (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 8/343 binary32)) #s(literal 8/125 binary32)))) (neg.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/49 binary32)) (-.f32 #s(literal 4/25 binary32) (.f32 (*.f32 x x) #s(literal 4/35 binary32))))))
(/.f32 (neg.f32 (.f32 x (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/49 binary32)) #s(literal -4/25 binary32)))) (neg.f32 (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32))))
(/.f32 (neg.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 8/343 binary32)) #s(literal 8/125 binary32)) x)) (neg.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/49 binary32)) (-.f32 #s(literal 4/25 binary32) (.f32 (*.f32 x x) #s(literal 4/35 binary32))))))
(/.f32 (neg.f32 (.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/49 binary32)) #s(literal -4/25 binary32)) x)) (neg.f32 (fma.f32 (*.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32))))
(/.f32 (fma.f32 (.f32 x (.f32 x x)) #s(literal 8/125 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))) #s(literal 8/343 binary32)))) (fma.f32 (.f32 x x) #s(literal 4/25 binary32) (-.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/49 binary32)))) (.f32 (.f32 x #s(literal 2/5 binary32)) (.f32 x (.f32 (*.f32 x x) #s(literal 2/7 binary32)))))))
(/.f32 (-.f32 (.f32 (.f32 x x) #s(literal 4/25 binary32)) (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/49 binary32))))) (-.f32 (.f32 x #s(literal 2/5 binary32)) (.f32 x (.f32 (.f32 x x) #s(literal 2/7 binary32)))))
(.f32 x (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)))
(.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) x)
(.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))) #s(literal 8/343 binary32)) (.f32 (.f32 x (.f32 x x)) #s(literal 8/125 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/49 binary32))) (-.f32 (.f32 (.f32 x x) #s(literal 4/25 binary32)) (.f32 (.f32 x (.f32 (.f32 x x) #s(literal 2/7 binary32))) (.f32 x #s(literal 2/5 binary32)))))))
(.f32 (-.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/49 binary32)))) (.f32 (.f32 x x) #s(literal 4/25 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x (.f32 (.f32 x x) #s(literal 2/7 binary32)) (neg.f32 (.f32 x #s(literal 2/5 binary32))))))
(.f32 (.f32 x (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 8/343 binary32)) #s(literal 8/125 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/49 binary32)) (-.f32 #s(literal 4/25 binary32) (.f32 (.f32 x x) #s(literal 4/35 binary32))))))
(.f32 (.f32 x (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/49 binary32)) #s(literal -4/25 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32))))
(.f32 (.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 8/343 binary32)) #s(literal 8/125 binary32)) x) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/49 binary32)) (-.f32 #s(literal 4/25 binary32) (.f32 (.f32 x x) #s(literal 4/35 binary32))))))
(.f32 (.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/49 binary32)) #s(literal -4/25 binary32)) x) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal -2/5 binary32))))

simplify467.0ms (5.1%)

Memory

17.3MiB live, 772.7MiB allocated

Algorithm

1×	egg-herbie

Rules

16 680×	`lower-fma.f64`
16 680×	`lower-fma.f32`
5 174×	`lower-*.f64`
5 174×	`lower-*.f32`
2 830×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	1346
1	476	1312
2	1264	1304
3	5059	1292
0	8585	1198

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 153

Calls

Call 1

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

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

eval75.0ms (0.8%)

Memory: 7.2MiB live, 196.3MiB allocated
Compiler: Compiled 26 670 to 2 132 computations (92% saved)

prune123.0ms (1.3%)

Memory

-10.7MiB live, 206.9MiB allocated

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	664	5	669
Fresh	0	0	0
Picked	1	3	4
Done	2	5	7
Total	667	13	680

Accuracy

100.0%

Counts

680 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.1%	(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 (.f32 (.f32 x (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))) x) x x)
✓	97.7%	(fma.f32 x (.f32 (.f32 x x) #s(literal 1/3 binary32)) x)
	97.6%	(.f32 (fma.f32 (.f32 x #s(literal 1/3 binary32)) x #s(literal 1 binary32)) x)
	98.5%	(.f32 (fma.f32 x (.f32 x (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))) #s(literal 1 binary32)) x)
	99.0%	(.f32 #s(literal 1/2 binary32) (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32)) x (.f32 (.f32 x x) (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (.f32 x x))))))
	99.0%	(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 8/27 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/9 binary32)) #s(literal 4 binary32)) (.f32 (.f32 x x) #s(literal 4/3 binary32)))) (.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (*.f32 x x)))))))
	99.0%	(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/9 binary32)) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal -2 binary32))) (.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (*.f32 x x)))))))
✓	99.0%	(.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))))
✓	99.0%	(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 x (.f32 (.f32 x (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))) (.f32 x x)) (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
✓	99.9%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))
✓	99.7%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
✓	95.8%	x

Compiler

Compiled 579 to 248 computations (57.2% saved)

regimes27.0ms (0.3%)

Memory

-26.7MiB live, 51.2MiB allocated

Counts

21 → 1

Calls

Call 1

Inputs
x
(*.f32 x #s(literal 1 binary32))
(.f32 #s(literal 1/2 binary32) (.f32 x #s(literal 2 binary32)))
(.f32 (fma.f32 (.f32 x #s(literal 1/3 binary32)) x #s(literal 1 binary32)) x)
(.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
(fma.f32 x (.f32 (.f32 x x) #s(literal 1/3 binary32)) x)
(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
(.f32 (fma.f32 x (.f32 x (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))) #s(literal 1 binary32)) x)
(fma.f32 (.f32 (.f32 x (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))) x) x 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 #s(literal 1/2 binary32) (.f32 x (fma.f32 (.f32 x (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))) x #s(literal 2 binary32))))
(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)
(.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))))
(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 x (.f32 (.f32 x (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))) (.f32 x x)) (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
(.f32 #s(literal 1/2 binary32) (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32)) x (.f32 (.f32 x x) (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (.f32 x x))))))
(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/9 binary32)) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal -2 binary32))) (.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (*.f32 x x)))))))
(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 8/27 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/9 binary32)) #s(literal 4 binary32)) (.f32 (.f32 x x) #s(literal 4/3 binary32)))) (.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (*.f32 x 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 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))

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

Calls

4 calls:

7.0ms	x
7.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
6.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
6.0ms	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
99.9%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
99.9%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes25.0ms (0.3%)

Memory

21.8MiB live, 60.4MiB allocated

Counts

20 → 1

Calls

Call 1

Inputs
x
(*.f32 x #s(literal 1 binary32))
(.f32 #s(literal 1/2 binary32) (.f32 x #s(literal 2 binary32)))
(.f32 (fma.f32 (.f32 x #s(literal 1/3 binary32)) x #s(literal 1 binary32)) x)
(.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
(fma.f32 x (.f32 (.f32 x x) #s(literal 1/3 binary32)) x)
(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
(.f32 (fma.f32 x (.f32 x (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))) #s(literal 1 binary32)) x)
(fma.f32 (.f32 (.f32 x (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))) x) x 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 #s(literal 1/2 binary32) (.f32 x (fma.f32 (.f32 x (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))) x #s(literal 2 binary32))))
(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)
(.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))))
(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 x (.f32 (.f32 x (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))) (.f32 x x)) (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
(.f32 #s(literal 1/2 binary32) (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32)) x (.f32 (.f32 x x) (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (.f32 x x))))))
(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/9 binary32)) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal -2 binary32))) (.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (*.f32 x x)))))))
(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 8/27 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/9 binary32)) #s(literal 4 binary32)) (.f32 (.f32 x x) #s(literal 4/3 binary32)))) (.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (*.f32 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:

7.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
6.0ms	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
6.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
6.0ms	x

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
99.7%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
99.7%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes26.0ms (0.3%)

Memory

-27.2MiB live, 52.7MiB allocated

Counts

19 → 1

Calls

Call 1

Inputs
x
(*.f32 x #s(literal 1 binary32))
(.f32 #s(literal 1/2 binary32) (.f32 x #s(literal 2 binary32)))
(.f32 (fma.f32 (.f32 x #s(literal 1/3 binary32)) x #s(literal 1 binary32)) x)
(.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
(fma.f32 x (.f32 (.f32 x x) #s(literal 1/3 binary32)) x)
(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
(.f32 (fma.f32 x (.f32 x (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))) #s(literal 1 binary32)) x)
(fma.f32 (.f32 (.f32 x (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))) x) x 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 #s(literal 1/2 binary32) (.f32 x (fma.f32 (.f32 x (fma.f32 x (.f32 x #s(literal 2/5 binary32)) #s(literal 2/3 binary32))) x #s(literal 2 binary32))))
(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)
(.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))))
(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 x (.f32 (.f32 x (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))) (.f32 x x)) (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))))
(.f32 #s(literal 1/2 binary32) (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32)) x (.f32 (.f32 x x) (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (.f32 x x))))))
(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/9 binary32)) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal -2 binary32))) (.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x (*.f32 x x)))))))
(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 8/27 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 4/9 binary32)) #s(literal 4 binary32)) (.f32 (.f32 x x) #s(literal 4/3 binary32)))) (.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 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)

Calls

4 calls:

8.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
6.0ms	x
6.0ms	(.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)))

Results

Accuracy	Segments	Branch
99.1%	1	`x`
99.1%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
99.1%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
99.1%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes18.0ms (0.2%)

Memory

0.0MiB live, 39.4MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

regimes14.0ms (0.1%)

Memory

38.4MiB live, 38.5MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
x
(*.f32 x #s(literal 1 binary32))
(.f32 #s(literal 1/2 binary32) (.f32 x #s(literal 2 binary32)))
(.f32 (fma.f32 (.f32 x #s(literal 1/3 binary32)) x #s(literal 1 binary32)) x)
(.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
(fma.f32 x (.f32 (.f32 x x) #s(literal 1/3 binary32)) x)
(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
(.f32 (fma.f32 x (.f32 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 x (.f32 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	(log1p.f32 (/.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))))
3.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
3.0ms	x

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
98.5%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
98.5%	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

-3.4MiB live, 35.8MiB allocated

Counts

8 → 1

Calls

Call 1

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

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
97.7%	1	`x`
97.7%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
97.7%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
97.7%	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

-13.1MiB live, 27.2MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
97.6%	1	`x`
97.6%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
97.6%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
97.6%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes10.0ms (0.1%)

Memory

-19.8MiB live, 19.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

3 → 1

Calls

Call 1

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

Outputs
x

Calls

4 calls:

4.0ms	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	(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))

Results

Accuracy	Segments	Branch
95.8%	1	`x`
95.8%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
95.8%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
95.8%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify7.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`*-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	35	86
1	53	86
2	56	86
3	57	86

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.2s (13.3%)

Memory

-1.8MiB live, 922.4MiB allocated

Rules

18 256×	`lower-fma.f64`
18 256×	`lower-fma.f32`
12 938×	`lower-fma.f64`
12 938×	`lower-fma.f32`
6 940×	`lower-fma.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
0	208	2104
1	676	2060
2	1788	2042
3	4984	2026
0	8985	1910
0	106	404
1	312	390
2	798	382
3	2146	380
4	4029	380
5	6487	380
0	8272	358
0	32	208
0	65	208
1	269	206
2	2020	206
0	8441	206
0	26	137
0	51	128
1	209	128
2	1566	128
0	8128	127
0	24	143
0	45	143
1	184	134
2	1323	134
0	8175	127

Stop Event

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

Compiler

Compiled 238 to 128 computations (46.2% saved)

preprocess38.0ms (0.4%)

Memory: 9.2MiB live, 126.2MiB allocated
Compiler: Compiled 196 to 88 computations (55.1% saved)

end0.0ms (0%)

Memory: 0.1MiB 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%)

sample616.0ms (6.7%)

preprocess43.0ms (0.5%)

explain159.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify13.0ms (0.1%)

localize71.0ms (0.8%)

series4.0ms (0%)

rewrite309.0ms (3.4%)

simplify368.0ms (4%)

eval28.0ms (0.3%)

prune56.0ms (0.6%)

simplify406.0ms (4.4%)

localize155.0ms (1.7%)

series33.0ms (0.4%)

rewrite414.0ms (4.5%)

simplify516.0ms (5.6%)

eval92.0ms (1%)

prune90.0ms (1%)

simplify408.0ms (4.4%)

localize126.0ms (1.4%)

series10.0ms (0.1%)

rewrite537.0ms (5.8%)

simplify248.0ms (2.7%)

eval82.0ms (0.9%)

prune153.0ms (1.7%)

simplify1.0s (11.3%)

localize194.0ms (2.1%)

series6.0ms (0.1%)

rewrite961.0ms (10.4%)

simplify467.0ms (5.1%)

eval75.0ms (0.8%)

prune123.0ms (1.3%)

regimes27.0ms (0.3%)

regimes25.0ms (0.3%)

regimes26.0ms (0.3%)

regimes18.0ms (0.2%)

regimes14.0ms (0.1%)

regimes12.0ms (0.1%)

regimes12.0ms (0.1%)

regimes10.0ms (0.1%)

simplify7.0ms (0.1%)

soundness1.2s (13.3%)

preprocess38.0ms (0.4%)

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