Metrics for Rust f32::atanh

analyze1.0ms (0%)

Memory

2.9MiB live, 2.9MiB 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)

sample433.0ms (5.7%)

Memory

-10.6MiB live, 430.9MiB allocated

Samples

305.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 153.0ms

ival-atanh: 146.0ms (95.4% of total)

ival-true: 5.0ms (3.3% of total)

ival-assert: 3.0ms (2% of total)

Bogosity

preprocess57.0ms (0.8%)

Memory

-15.1MiB live, 23.5MiB allocated

Algorithm

1×	egg-herbie

Rules

124×	`accelerator-lowering-fma.f32`
124×	`accelerator-lowering-fma.f64`
88×	`-lowering-.f32`
88×	`-lowering-.f64`
76×	`+-lowering-+.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	10	12
1	19	12
2	26	12
3	32	12
4	39	12
5	53	12
6	91	12
7	158	12
8	216	12
9	244	12
10	259	12
11	269	12
12	269	12
0	269	10

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

explain97.0ms (1.3%)

Memory

28.6MiB live, 147.2MiB 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

51.0ms

512×

valid

Compiler

Compiled 96 to 40 computations (58.3% saved)

Precisions

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

ival-mult: 6.0ms (30.9% of total)

ival-div: 5.0ms (25.8% of total)

ival-log1p: 4.0ms (20.6% of total)

ival-sub: 3.0ms (15.5% of total)

exact: 1.0ms (5.2% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB 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)

simplify14.0ms (0.2%)

Memory

-19.3MiB live, 18.1MiB 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×	`accelerator-lowering-fma.f32`
124×	`accelerator-lowering-fma.f64`
88×	`-lowering-.f32`
88×	`-lowering-.f64`
76×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	39
1	19	39
2	26	39
3	32	39
4	39	39
5	53	39
6	91	39
7	158	39
8	216	39
9	244	39
10	259	39
11	269	39
12	269	39
0	269	35

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize32.0ms (0.4%)

Memory

13.1MiB live, 50.9MiB 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

22.0ms

256×

valid

Compiler

Compiled 37 to 11 computations (70.3% saved)

Precisions

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

ival-mult: 3.0ms (33% of total)

ival-sub: 2.0ms (22% of total)

ival-div: 2.0ms (22% of total)

ival-log1p: 2.0ms (22% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

4 → 48

Calls

Call 1

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

rewrite297.0ms (3.9%)

Memory

-14.6MiB live, 501.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 286×	`accelerator-lowering-fma.f32`
4 286×	`accelerator-lowering-fma.f64`
3 506×	`-lowering-.f32`
3 506×	`-lowering-.f64`
2 126×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	49	32
2	399	32
3	5586	32
0	8628	28

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 162

Calls

Call 1

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

Outputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal -1 binary32))))))
(.f32 (log1p.f32 (.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal -1 binary32))))) #s(literal 1/2 binary32))
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 #s(literal 1 binary32) x)))
(log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal -1 binary32)))))
(neg.f32 (neg.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal -1 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 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x))) #s(literal -1 binary32)))))
(+.f32 #s(literal 0 binary32) (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal -1 binary32))))))
(+.f32 (log1p.f32 (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal 8 binary32)) (.f32 (+.f32 #s(literal 1 binary32) x) (.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x))))) (neg.f32 (log1p.f32 (.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32))))))
(+.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (neg.f32 (log1p.f32 (.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal -1 binary32)))))))
(+.f32 (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal -1 binary32))))) #s(literal 0 binary32))
(+.f32 (neg.f32 (log1p.f32 (.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal -1 binary32)))))) (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (+.f32 #s(literal 1 binary32) x) (+.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 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x))))) (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 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x))) #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 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32))))) (log1p.f32 (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal 8 binary32)) (.f32 (+.f32 #s(literal 1 binary32) x) (.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x))))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (fma.f32 #s(literal 8 binary32) (/.f32 (.f32 x (.f32 x x)) (.f32 (+.f32 #s(literal 1 binary32) x) (.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x)))) #s(literal 1 binary32)))) (log1p.f32 (.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) #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 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))))) (log1p.f32 (*.f32 #s(literal 2 binary32) (/.f32 x (+.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 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) #s(literal 1 binary32))) (neg.f32 (log1p.f32 (.f32 #s(literal 2 binary32) (/.f32 x (+.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 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (fma.f32 #s(literal 8 binary32) (/.f32 (.f32 x (.f32 x x)) (.f32 (+.f32 #s(literal 1 binary32) x) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x)))) #s(literal -1 binary32)))) (log.f32 (neg.f32 (fma.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) #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 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal -1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x)))))) (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 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (+.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x))) #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 #s(literal 1 binary32) x) (.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x)))) #s(literal 1 binary32)) (fma.f32 (.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32))) (.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x))) (.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 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32))) (-.f32 (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) #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 #s(literal 1 binary32) x) (.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x)))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x))) (.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 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32))))))
(+.f32 (log.f32 (fma.f32 #s(literal 8 binary32) (/.f32 (.f32 x (.f32 x x)) (.f32 (+.f32 #s(literal 1 binary32) x) (.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x)))) #s(literal -1 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) (fma.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32) #s(literal 2 binary32)) #s(literal 1 binary32))))))
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simplify442.0ms (5.8%)

Memory

-4.8MiB live, 676.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12 938×	`accelerator-lowering-fma.f32`
12 938×	`accelerator-lowering-fma.f64`
3 522×	`-lowering-.f32`
3 522×	`-lowering-.f64`
2 748×	`+-lowering-+.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 → 48

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))

eval22.0ms (0.3%)

Memory: 10.1MiB live, 48.8MiB allocated
Compiler: Compiled 5 005 to 804 computations (83.9% saved)

prune30.0ms (0.4%)

Memory

19.9MiB live, 97.4MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	204	6	210
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	204	7	211

Accuracy

100.0%

Counts

211 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(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)
▶	99.6%	(fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
▶	99.2%	(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
	99.6%	(.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))))
▶	99.1%	(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
✓	99.7%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
▶	97.5%	x

Compiler

Compiled 163 to 97 computations (40.5% saved)

simplify477.0ms (6.3%)

Memory

-4.8MiB live, 783.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

20 264×	`accelerator-lowering-fma.f32`
20 264×	`accelerator-lowering-fma.f64`
10 828×	`-lowering-.f32`
10 828×	`-lowering-.f64`
8 624×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	127
1	73	127
2	183	127
3	403	127
4	928	127
5	1856	127
6	2856	127
7	3633	127
8	3657	127
9	3657	127
10	5451	127
11	5661	127
12	5661	127
13	5661	127
0	11304	114

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize95.0ms (1.3%)

Memory

32.1MiB live, 143.2MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
✓	accuracy	100.0%	(*.f32 x x)
✓	accuracy	99.9%	(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
✓	accuracy	99.7%	(.f32 x (.f32 x x))
✓	accuracy	100.0%	(fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))
✓	accuracy	100.0%	(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
✓	accuracy	99.9%	(.f32 x (fma.f32 x (.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32)))
✓	accuracy	98.9%	(*.f32 x #s(literal 2/3 binary32))
✓	accuracy	100.0%	(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
✓	accuracy	100.0%	(*.f32 x x)
✓	accuracy	99.7%	(.f32 x (.f32 x x))
✓	accuracy	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	99.9%	(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
✓	accuracy	99.7%	(.f32 x (.f32 x x))
✓	accuracy	98.2%	(*.f32 x #s(literal 1/7 binary32))

Samples

53.0ms

256×

valid

Compiler

Compiled 132 to 29 computations (78% saved)

Precisions

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

ival-mult: 19.0ms (45.5% of total)

const: 15.0ms (35.9% of total)

ival-add: 8.0ms (19.2% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Memory

-11.7MiB live, 24.6MiB allocated

Counts

13 → 156

Calls

Call 1

Inputs
#<alt (+ (* (+ (* (* x x) (+ (* x (* x 1/7)) 1/5)) 1/3) (* x (* x x))) x)>
#<alt (+ (* (* x x) (+ (* x (* x 1/7)) 1/5)) 1/3)>
#<alt (* x x)>
#<alt (+ (* x (* x 1/7)) 1/5)>
#<alt (+ (* 1/3 (* x (* x x))) x)>
#<alt (* x (* x x))>
#<alt (* 1/2 (* x (+ (* x (* x 2/3)) 2)))>
#<alt (* x (+ (* x (* x 2/3)) 2))>
#<alt (+ (* x (* x 2/3)) 2)>
#<alt (* x 2/3)>
#<alt (+ (* (+ (* (* x x) 1/5) 1/3) (* x (* x x))) x)>
#<alt (+ (* (* x x) 1/5) 1/3)>
#<alt (* x 1/7)>

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

Calls

39 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(+ (* (* x x) (+ (* x (* x 1/7)) 1/5)) 1/3)
1.0ms	x	@	-inf	(+ (* (* x x) (+ (* x (* x 1/7)) 1/5)) 1/3)
0.0ms	x	@	inf	(+ (* (+ (* (* x x) (+ (* x (* x 1/7)) 1/5)) 1/3) (* x (* x x))) x)
0.0ms	x	@	-inf	(+ (* (+ (* (* x x) (+ (* x (* x 1/7)) 1/5)) 1/3) (* x (* x x))) x)
0.0ms	x	@	0	(* 1/2 (* x (+ (* x (* x 2/3)) 2)))

rewrite362.0ms (4.8%)

Memory

-42.7MiB live, 699.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 488×	`accelerator-lowering-fma.f32`
7 488×	`accelerator-lowering-fma.f64`
5 106×	`-lowering-.f32`
5 106×	`-lowering-.f64`
4 252×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	105
1	156	105
2	1237	105
0	8193	92

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 417

Calls

Call 1

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

Outputs
(+.f32 x (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))))
(+.f32 (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))) x)
(+.f32 (/.f32 (.f32 (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))) (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))))) (fma.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) (neg.f32 x))) (neg.f32 (/.f32 (.f32 x x) (fma.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) (neg.f32 x)))))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) x)) #s(literal -1 binary32))
(fma.f32 x (.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) x)
(fma.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) x)
(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 (.f32 x x)) (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) x)
(fma.f32 (.f32 (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))) (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) (neg.f32 x))) (neg.f32 (/.f32 (.f32 x x) (fma.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) (neg.f32 x)))))
(fma.f32 (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) (.f32 x x) x)
(fma.f32 (.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 x)) x x)
(fma.f32 (.f32 (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) x) x x)
(fma.f32 (.f32 (.f32 x (.f32 x x)) (fma.f32 (.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))) (.f32 x (.f32 (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))))) #s(literal 1/27 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))) #s(literal 1/9 binary32)) (.f32 x (.f32 (.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))))) x)
(fma.f32 (.f32 (.f32 x (.f32 x x)) (fma.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))) #s(literal -1/9 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal -1/3 binary32))) x)
(fma.f32 (.f32 (fma.f32 (.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))) (.f32 x (.f32 (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))))) #s(literal 1/27 binary32)) (.f32 x (.f32 x x))) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))) #s(literal 1/9 binary32)) (.f32 x (.f32 (.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))))) x)
(fma.f32 (.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))) #s(literal -1/9 binary32)) (.f32 x (.f32 x x))) (/.f32 #s(literal 1 binary32) (fma.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal -1/3 binary32))) x)
(fma.f32 (pow.f32 x #s(literal 1/2 binary32)) (pow.f32 x #s(literal 1/2 binary32)) (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))))
(-.f32 (/.f32 (.f32 (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))) (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))))) (fma.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) (neg.f32 x))) (/.f32 (.f32 x x) (fma.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) (neg.f32 x))))
(-.f32 (/.f32 (.f32 x x) (-.f32 x (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))))) (/.f32 (.f32 (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))) (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))))) (-.f32 x (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))))))
(/.f32 (fma.f32 (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))) (.f32 (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))) (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))))) (.f32 x (.f32 x x))) (fma.f32 x (-.f32 x (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))))) (.f32 (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))) (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))))))
(/.f32 (fma.f32 (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))) (.f32 (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))) (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))))) (.f32 x (.f32 x x))) (fma.f32 x x (-.f32 (.f32 (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))) (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))))) (.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 (.f32 x (*.f32 x x)) x)))))
(/.f32 (.f32 (fma.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) x) (fma.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) (neg.f32 x))) (fma.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) (neg.f32 x)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x x (-.f32 (.f32 (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))) (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))))) (.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 (.f32 x (.f32 x x)) x)))) (fma.f32 (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))) (.f32 (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))) (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))))) (.f32 x (*.f32 x x)))))
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(.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/125 binary32)) #s(literal 1/27 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/9 binary32) (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/25 binary32)) (neg.f32 (.f32 (*.f32 x x) #s(literal 1/15 binary32)))))))
(.f32 (fma.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x x)) x) #s(literal -1/9 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal -1/3 binary32))))
(.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)))
(.f32 (neg.f32 (fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/125 binary32)) #s(literal 1/27 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/25 binary32)) (-.f32 #s(literal 1/9 binary32) (.f32 (*.f32 x x) #s(literal 1/15 binary32)))))))
(.f32 (neg.f32 (fma.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x x)) x) #s(literal -1/9 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal -1/3 binary32)))))
(.f32 (-.f32 #s(literal 1/9 binary32) (.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x x)) x))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32)))))
(*.f32 x #s(literal 1/7 binary32))
(*.f32 #s(literal 1/7 binary32) x)

simplify431.0ms (5.7%)

Memory

48.8MiB live, 397.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 896×	`accelerator-lowering-fma.f32`
10 896×	`accelerator-lowering-fma.f64`
3 342×	`-lowering-.f32`
3 342×	`-lowering-.f64`
2 126×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	1068
1	287	1020
2	770	1015
3	2217	1012
4	5559	1012
0	8204	932

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

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

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

eval124.0ms (1.6%)

Memory: -27.0MiB live, 91.8MiB allocated
Compiler: Compiled 21 933 to 1 596 computations (92.7% saved)

prune142.0ms (1.9%)

Memory

-0.9MiB live, 128.2MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	683	2	685
Fresh	1	0	1
Picked	1	4	5
Done	0	1	1
Total	685	7	692

Accuracy

100.0%

Counts

692 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(fma.f32 (fma.f32 (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) x #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)
✓	99.6%	(fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
✓	99.2%	(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
▶	99.2%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) x)))
✓	99.1%	(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
✓	99.7%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
✓	97.5%	x

Compiler

Compiled 89 to 55 computations (38.2% saved)

simplify169.0ms (2.2%)

Memory

16.1MiB live, 89.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
✓	cost-diff	0	(.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
✓	cost-diff	0	(fma.f32 (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) x #s(literal 1/3 binary32))
✓	cost-diff	0	(fma.f32 (fma.f32 (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) x #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)
✓	cost-diff	0	(*.f32 x x)
✓	cost-diff	0	(fma.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) x)
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) x))
✓	cost-diff	704	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) x)))

Rules

1 752×	`accelerator-lowering-fma.f32`
1 752×	`accelerator-lowering-fma.f64`
696×	`-lowering-.f32`
696×	`-lowering-.f64`
484×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	175
1	62	175
2	155	175
3	424	175
4	1014	175
5	1788	175
6	1938	175
7	1980	175
8	2056	175
9	2160	175
10	2242	175
11	2282	175
12	2294	175
13	2294	175
0	2294	153

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ 1 (/ 1 (+ (* (* x x) (* x (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3))) x)))
1
(/ 1 (+ (* (* x x) (* x (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3))) x))
(+ (* (* x x) (* x (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3))) x)
(* x x)
x
(* x (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3))
(+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3)
(* x (+ (* x (* x 1/7)) 1/5))
(+ (* x (* x 1/7)) 1/5)
(* x 1/7)
1/7
1/5
1/3
(+ (* (+ (* (* x (+ (* x (* x 1/7)) 1/5)) x) 1/3) (* x (* x x))) x)
(+ (* (* x (+ (* x (* x 1/7)) 1/5)) x) 1/3)
(* x (+ (* x (* x 1/7)) 1/5))
x
(+ (* x (* x 1/7)) 1/5)
(* x 1/7)
1/7
1/5
1/3
(* x (* x x))
(* x x)

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

localize274.0ms (3.6%)

Memory

-13.5MiB live, 142.9MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
✓	accuracy	99.7%	(.f32 x (.f32 x x))
✓	accuracy	99.5%	(.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
✓	accuracy	98.2%	(*.f32 x #s(literal 1/7 binary32))
✓	accuracy	99.5%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) x)))
✓	accuracy	99.5%	(.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
✓	accuracy	99.0%	(.f32 x (fma.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))
✓	accuracy	98.2%	(*.f32 x #s(literal 1/7 binary32))

Samples

114.0ms

256×

valid

Compiler

Compiled 169 to 24 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-add: 72.0ms (69.5% of total)

ival-mult: 19.0ms (18.3% of total)

const: 9.0ms (8.7% of total)

ival-div: 3.0ms (2.9% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated

Counts

11 → 132

Calls

Call 1

Inputs
#<alt (/ 1 (/ 1 (+ (* (* x x) (* x (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3))) x)))>
#<alt (/ 1 (+ (* (* x x) (* x (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3))) x))>
#<alt (+ (* (* x x) (* x (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3))) x)>
#<alt (* x x)>
#<alt (+ (* (+ (* (* x (+ (* x (* x 1/7)) 1/5)) x) 1/3) (* x (* x x))) x)>
#<alt (+ (* (* x (+ (* x (* x 1/7)) 1/5)) x) 1/3)>
#<alt (* x (+ (* x (* x 1/7)) 1/5))>
#<alt (+ (* x (* x 1/7)) 1/5)>
#<alt (* x 1/7)>
#<alt (* x (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3))>
#<alt (* x (* x x))>

Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1/3 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3))) x)>
#<alt (/ 7 (pow x 7))>
#<alt (/ (- 7 (* 49/5 (/ 1 (pow x 2)))) (pow x 7))>
#<alt (/ (+ 7 (* -1 (/ (+ 49/5 (* 196/75 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 7))>
#<alt (/ (- (+ 7 (* -1 (/ (+ 196/75 (* 8428/375 (/ 1 (pow x 2)))) (pow x 4)))) (* 49/5 (/ 1 (pow x 2)))) (pow x 7))>
#<alt (/ 7 (pow x 7))>
#<alt (* -1 (/ (- (* 49/5 (/ 1 (pow x 2))) 7) (pow x 7)))>
#<alt (* -1 (/ (- (+ (* 49/5 (/ 1 (pow x 2))) (/ 196/75 (pow x 4))) 7) (pow x 7)))>
#<alt (* -1 (/ (- (+ (* 49/5 (/ 1 (pow x 2))) (+ (* 8428/375 (/ 1 (pow x 6))) (/ 196/75 (pow x 4)))) 7) (pow x 7)))>
#<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 (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 1/3>
#<alt (+ 1/3 (* 1/5 (pow x 2)))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/5 x)>
#<alt (* x (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* x (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* x (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* 1/7 (pow x 3))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/7 (pow x 3))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt 1/5>
#<alt (+ 1/5 (* 1/7 (pow x 2)))>
#<alt (+ 1/5 (* 1/7 (pow x 2)))>
#<alt (+ 1/5 (* 1/7 (pow x 2)))>
#<alt (* 1/7 (pow x 2))>
#<alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/7 (pow x 2))>
#<alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/7 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 (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* 1/7 (pow x 5))>
#<alt (* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/7 (pow x 5))>
#<alt (* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>

Calls

33 calls:

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

rewrite940.0ms (12.4%)

Memory

-14.8MiB live, 682.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 652×	`accelerator-lowering-fma.f32`
8 652×	`accelerator-lowering-fma.f64`
6 144×	`-lowering-.f32`
6 144×	`-lowering-.f64`
3 388×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	131
1	142	131
2	793	131
0	8467	113

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 715

Calls

Call 1

Inputs
(/ 1 (/ 1 (+ (* (* x x) (* x (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3))) x)))
(/ 1 (+ (* (* x x) (* x (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3))) x))
(+ (* (* x x) (* x (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3))) x)
(* x x)
(+ (* (+ (* (* x (+ (* x (* x 1/7)) 1/5)) x) 1/3) (* x (* x x))) x)
(+ (* (* x (+ (* x (* x 1/7)) 1/5)) x) 1/3)
(* x (+ (* x (* x 1/7)) 1/5))
(+ (* x (* x 1/7)) 1/5)
(* x 1/7)
(* x (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3))
(* x (* x x))

Outputs
(neg.f32 (neg.f32 (fma.f32 (.f32 x x) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) x)))
(exp.f32 (log.f32 (fma.f32 (.f32 x x) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) x)))
(exp.f32 (.f32 (log.f32 (fma.f32 (.f32 x x) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) x)) #s(literal 1 binary32)))
(+.f32 x (.f32 (.f32 x x) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))))
(+.f32 (.f32 (.f32 x x) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) x)
(+.f32 (/.f32 (.f32 x (.f32 (.f32 (.f32 x x) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))))) (fma.f32 (.f32 x x) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) (neg.f32 x))) (neg.f32 (/.f32 (.f32 x x) (fma.f32 (.f32 x x) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) (neg.f32 x)))))
(+.f32 (.f32 x (.f32 (.f32 x x) #s(literal 1/3 binary32))) (fma.f32 x (.f32 x (.f32 x (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))))) x))
(+.f32 (.f32 x (.f32 x (.f32 x (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))))) (fma.f32 x (.f32 (.f32 x x) #s(literal 1/3 binary32)) x))
(+.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 (.f32 (.f32 x x) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))))))
(+.f32 (neg.f32 (neg.f32 (.f32 (.f32 x x) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))))) (neg.f32 (neg.f32 x)))
(+.f32 (.f32 #s(literal -1 binary32) (neg.f32 x)) (.f32 #s(literal -1 binary32) (neg.f32 (.f32 (.f32 x x) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))))))
(+.f32 (.f32 #s(literal -1 binary32) (neg.f32 (.f32 (.f32 x x) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))))) (*.f32 #s(literal -1 binary32) (neg.f32 x)))
(+.f32 (.f32 (neg.f32 x) #s(literal -1 binary32)) (.f32 (neg.f32 (.f32 (.f32 x x) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))))) #s(literal -1 binary32)))
(+.f32 (.f32 (neg.f32 (.f32 (.f32 x x) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))))) #s(literal -1 binary32)) (*.f32 (neg.f32 x) #s(literal -1 binary32)))
(+.f32 (+.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/3 binary32)))) (.f32 x (.f32 x (.f32 x (.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))))))
(+.f32 (+.f32 x (.f32 x (.f32 x (.f32 x (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))))))) (.f32 x (.f32 (*.f32 x x) #s(literal 1/3 binary32))))
(pow.f32 (fma.f32 (.f32 x x) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) x) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) x)) #s(literal -1 binary32))
(pow.f32 (pow.f32 (fma.f32 (.f32 x x) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) x) #s(literal 1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) x)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) x))) #s(literal -1/2 binary32))
(fma.f32 #s(literal 1 binary32) x (.f32 (.f32 x x) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))))
(fma.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) x)
(fma.f32 x #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))))
(fma.f32 x (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) x)
(fma.f32 x (.f32 (.f32 x x) #s(literal 1/3 binary32)) (fma.f32 x (.f32 x (.f32 x (.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))))) x))
(fma.f32 x (.f32 x (.f32 x (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))))) (fma.f32 x (.f32 (*.f32 x x) #s(literal 1/3 binary32)) x))
(fma.f32 x (.f32 (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) #s(literal 1 binary32)) x)
(fma.f32 (.f32 x x) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) x)
(fma.f32 (.f32 x x) (.f32 x #s(literal 1/3 binary32)) (fma.f32 x (.f32 x (.f32 x (.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))))) x))
(fma.f32 (.f32 x x) (.f32 x (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))) (fma.f32 x (.f32 (*.f32 x x) #s(literal 1/3 binary32)) x))
(fma.f32 (.f32 x x) (.f32 (.f32 x (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) #s(literal 1 binary32)) x)
(fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 (.f32 x x) (.f32 x (.f32 x x))) (fma.f32 x (.f32 (*.f32 x x) #s(literal 1/3 binary32)) x))
(fma.f32 (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) (.f32 (.f32 x x) (.f32 x x)) (fma.f32 x (.f32 (*.f32 x x) #s(literal 1/3 binary32)) x))
(fma.f32 (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) (.f32 x (.f32 x x)) (fma.f32 x (.f32 (*.f32 x x) #s(literal 1/3 binary32)) x))
(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) (fma.f32 x (.f32 x (.f32 x (.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))))) x))
(fma.f32 (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)
(fma.f32 (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (.f32 (.f32 x (*.f32 x x)) #s(literal 1 binary32)) x)
(fma.f32 (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) (.f32 x x) x)
(fma.f32 (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) (.f32 (*.f32 x x) #s(literal 1 binary32)) x)
(fma.f32 (.f32 (.f32 x x) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) #s(literal 1 binary32) x)
(fma.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) (fma.f32 x (.f32 (*.f32 x x) #s(literal 1/3 binary32)) x))
(fma.f32 (.f32 x (.f32 x x)) #s(literal 1/3 binary32) (fma.f32 x (.f32 x (.f32 x (.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))))) x))
(fma.f32 (.f32 x (.f32 x x)) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) x)
(fma.f32 (.f32 x (.f32 x x)) (.f32 (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)) x)
(fma.f32 #s(literal -1 binary32) (neg.f32 x) (.f32 #s(literal -1 binary32) (neg.f32 (.f32 (.f32 x x) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))))))
(fma.f32 #s(literal -1 binary32) (neg.f32 (.f32 (.f32 x x) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))))) (.f32 #s(literal -1 binary32) (neg.f32 x)))
(fma.f32 (.f32 x (.f32 (.f32 (.f32 x x) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))) (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) (neg.f32 x))) (neg.f32 (/.f32 (.f32 x x) (fma.f32 (.f32 x x) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) (neg.f32 x)))))
(fma.f32 (fma.f32 (.f32 x x) (.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))))) #s(literal 1/27 binary32)) (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/9 binary32) (fma.f32 (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal -1/3 binary32) (.f32 (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))))))) (.f32 x (*.f32 x x))) x)
(fma.f32 (fma.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))))) #s(literal -1/9 binary32)) (.f32 (/.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))) (.f32 x (*.f32 x x))) x)
(fma.f32 (.f32 x #s(literal 1/3 binary32)) (.f32 x x) (fma.f32 x (.f32 x (.f32 x (.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))))) x))
(fma.f32 (.f32 x (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))) (.f32 x x) (fma.f32 x (.f32 (*.f32 x x) #s(literal 1/3 binary32)) x))
(fma.f32 (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) x x)
(fma.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) (fma.f32 x (.f32 (*.f32 x x) #s(literal 1/3 binary32)) x))
(fma.f32 (neg.f32 x) #s(literal -1 binary32) (.f32 (neg.f32 (.f32 (.f32 x x) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))))) #s(literal -1 binary32)))
(fma.f32 (pow.f32 x #s(literal 3/2 binary32)) (.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 1/3 binary32)) (fma.f32 x (.f32 x (.f32 x (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))))) x))
(fma.f32 (pow.f32 x #s(literal 3/2 binary32)) (.f32 (pow.f32 x #s(literal 3/2 binary32)) (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) x)
(fma.f32 (pow.f32 x #s(literal 3/2 binary32)) (.f32 (pow.f32 x #s(literal 3/2 binary32)) (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))) (fma.f32 x (.f32 (.f32 x x) #s(literal 1/3 binary32)) x))
(fma.f32 (neg.f32 (.f32 (.f32 x x) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))))) #s(literal -1 binary32) (.f32 (neg.f32 x) #s(literal -1 binary32)))
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(.f32 (.f32 x (fma.f32 (.f32 x x) (.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))))) #s(literal 1/27 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/9 binary32) (fma.f32 (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal -1/3 binary32) (.f32 (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))))))))
(.f32 (.f32 x (fma.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))))) #s(literal -1/9 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal -1/3 binary32))))
(.f32 (.f32 (fma.f32 (.f32 x x) (.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))))) #s(literal 1/27 binary32)) x) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/9 binary32) (fma.f32 (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal -1/3 binary32) (.f32 (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))))))))
(.f32 (.f32 (fma.f32 x (.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x (.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))))) #s(literal -1/9 binary32)) x) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal -1/3 binary32))))
(exp.f32 (*.f32 (log.f32 x) #s(literal 3 binary32)))
(pow.f32 x #s(literal 3 binary32))
(pow.f32 (*.f32 x x) #s(literal 3/2 binary32))
(pow.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 2 binary32))
(pow.f32 (exp.f32 (log.f32 x)) #s(literal 3 binary32))
(.f32 x (.f32 x x))
(.f32 (.f32 x x) x)
(*.f32 (pow.f32 x #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3/2 binary32)))

simplify276.0ms (3.6%)

Memory

22.7MiB live, 457.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 272×	`accelerator-lowering-fma.f32`
7 272×	`accelerator-lowering-fma.f64`
3 354×	`-lowering-.f32`
3 354×	`-lowering-.f64`
2 314×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	131	1190
1	388	1169
2	970	1158
3	2553	1152
4	6936	1152
0	8476	1086

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

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 x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3))) x)
(/ 7 (pow x 7))
(/ (- 7 (* 49/5 (/ 1 (pow x 2)))) (pow x 7))
(/ (+ 7 (* -1 (/ (+ 49/5 (* 196/75 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 7))
(/ (- (+ 7 (* -1 (/ (+ 196/75 (* 8428/375 (/ 1 (pow x 2)))) (pow x 4)))) (* 49/5 (/ 1 (pow x 2)))) (pow x 7))
(/ 7 (pow x 7))
(* -1 (/ (- (* 49/5 (/ 1 (pow x 2))) 7) (pow x 7)))
(* -1 (/ (- (+ (* 49/5 (/ 1 (pow x 2))) (/ 196/75 (pow x 4))) 7) (pow x 7)))
(* -1 (/ (- (+ (* 49/5 (/ 1 (pow x 2))) (+ (* 8428/375 (/ 1 (pow x 6))) (/ 196/75 (pow x 4)))) 7) (pow x 7)))
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)))))))
(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)))))))
1/3
(+ 1/3 (* 1/5 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/5 x)
(* x (+ 1/5 (* 1/7 (pow x 2))))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(* 1/7 (pow x 3))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/7 (pow x 3))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
1/5
(+ 1/5 (* 1/7 (pow x 2)))
(+ 1/5 (* 1/7 (pow x 2)))
(+ 1/5 (* 1/7 (pow x 2)))
(* 1/7 (pow x 2))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/7 (pow x 2))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/7 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)
(* 1/3 x)
(* x (+ 1/3 (* 1/5 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* 1/7 (pow x 5))
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/7 (pow x 5))
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)

Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 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 #s(literal 1/7 binary32) (+.f32 (/.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 #s(literal 1/7 binary32) (+.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (/.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 x)
(/.f32 #s(literal 1 binary32) x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/.f32 (fma.f32 (*.f32 x x) #s(literal -1/3 binary32) #s(literal 1 binary32)) x)
(/ (+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))) x)
(/.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3))) x)
(/.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32))) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)
(/ 7 (pow x 7))
(/.f32 #s(literal 7 binary32) (pow.f32 x #s(literal 7 binary32)))
(/ (- 7 (* 49/5 (/ 1 (pow x 2)))) (pow x 7))
(/.f32 (+.f32 #s(literal 7 binary32) (/.f32 #s(literal -49/5 binary32) (*.f32 x x))) (pow.f32 x #s(literal 7 binary32)))
(/ (+ 7 (* -1 (/ (+ 49/5 (* 196/75 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 7))
(/.f32 (+.f32 #s(literal 7 binary32) (/.f32 (-.f32 #s(literal -49/5 binary32) (/.f32 #s(literal 196/75 binary32) (.f32 x x))) (.f32 x x))) (pow.f32 x #s(literal 7 binary32)))
(/ (- (+ 7 (* -1 (/ (+ 196/75 (* 8428/375 (/ 1 (pow x 2)))) (pow x 4)))) (* 49/5 (/ 1 (pow x 2)))) (pow x 7))
(/.f32 (+.f32 (+.f32 #s(literal 7 binary32) (/.f32 #s(literal -49/5 binary32) (.f32 x x))) (/.f32 (+.f32 #s(literal -196/75 binary32) (/.f32 #s(literal -8428/375 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x))))) (pow.f32 x #s(literal 7 binary32)))
(/ 7 (pow x 7))
(/.f32 #s(literal 7 binary32) (pow.f32 x #s(literal 7 binary32)))
(* -1 (/ (- (* 49/5 (/ 1 (pow x 2))) 7) (pow x 7)))
(/.f32 (+.f32 #s(literal 7 binary32) (/.f32 #s(literal -49/5 binary32) (*.f32 x x))) (pow.f32 x #s(literal 7 binary32)))
(* -1 (/ (- (+ (* 49/5 (/ 1 (pow x 2))) (/ 196/75 (pow x 4))) 7) (pow x 7)))
(/.f32 (+.f32 #s(literal 7 binary32) (/.f32 (-.f32 #s(literal -49/5 binary32) (/.f32 #s(literal 196/75 binary32) (.f32 x x))) (.f32 x x))) (pow.f32 x #s(literal 7 binary32)))
(* -1 (/ (- (+ (* 49/5 (/ 1 (pow x 2))) (+ (* 8428/375 (/ 1 (pow x 6))) (/ 196/75 (pow x 4)))) 7) (pow x 7)))
(/.f32 (+.f32 #s(literal 7 binary32) (+.f32 (/.f32 (-.f32 #s(literal -49/5 binary32) (/.f32 #s(literal 196/75 binary32) (.f32 x x))) (.f32 x x)) (/.f32 #s(literal -8428/375 binary32) (.f32 (.f32 x x) (.f32 x (.f32 x (*.f32 x x))))))) (pow.f32 x #s(literal 7 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 (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 #s(literal 1/7 binary32) (+.f32 (/.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 #s(literal 1/7 binary32) (+.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (/.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))))))
(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 (* (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 #s(literal 1/7 binary32) (+.f32 (/.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 #s(literal 1/7 binary32) (+.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (/.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))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))
(* 1/7 (pow x 3))
(.f32 x (.f32 (*.f32 x x) #s(literal 1/7 binary32)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))
(* 1/7 (pow x 3))
(.f32 x (.f32 (*.f32 x x) #s(literal 1/7 binary32)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))
1/5
#s(literal 1/5 binary32)
(+ 1/5 (* 1/7 (pow x 2)))
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
(+ 1/5 (* 1/7 (pow x 2)))
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
(+ 1/5 (* 1/7 (pow x 2)))
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
(* 1/7 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/7 binary32))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
(* 1/7 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))
(* 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 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(.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 (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(.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)))
(* 1/7 (pow x 5))
(.f32 x (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x (*.f32 x x)))))
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 x x) (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))))
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 (.f32 x (.f32 x (.f32 x (.f32 x x)))) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x))))) (.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x x))))
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 (.f32 x (.f32 x (.f32 x (.f32 x x)))) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x))))) (.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x x))))
(* 1/7 (pow x 5))
(.f32 x (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x (*.f32 x x)))))
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 x x) (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(.f32 (.f32 x (.f32 x (.f32 x (.f32 x x)))) (-.f32 #s(literal 1/7 binary32) (/.f32 (+.f32 #s(literal -1/5 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 x x))) (*.f32 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(.f32 (.f32 x (.f32 x (.f32 x (.f32 x x)))) (-.f32 #s(literal 1/7 binary32) (/.f32 (+.f32 #s(literal -1/5 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 x x))) (*.f32 x x))))
(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))

eval208.0ms (2.7%)

Memory: 5.8MiB live, 240.9MiB allocated
Compiler: Compiled 47 057 to 2 464 computations (94.8% saved)

prune118.0ms (1.6%)

Memory

-24.4MiB live, 298.8MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	1 002	2	1 004
Fresh	0	0	0
Picked	1	1	2
Done	0	5	5
Total	1 003	8	1 011

Accuracy

100.0%

Counts

1 011 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(fma.f32 (fma.f32 (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) x #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)
✓	99.6%	(fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
▶	99.7%	(fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 (.f32 x x) (.f32 x (.f32 x x))) (fma.f32 x (.f32 (*.f32 x x) #s(literal 1/3 binary32)) x))
✓	99.2%	(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
▶	99.2%	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32))) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x))
✓	99.1%	(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
✓	99.7%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
✓	97.5%	x

Compiler

Compiled 112 to 65 computations (42% saved)

simplify448.0ms (5.9%)

Memory

-3.1MiB live, 675.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f32 (.f32 x x) (.f32 x (.f32 x x)))
✓	cost-diff	0	(*.f32 x x)
✓	cost-diff	0	(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
✓	cost-diff	480	(fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 (.f32 x x) (.f32 x (.f32 x x))) (fma.f32 x (.f32 (*.f32 x x) #s(literal 1/3 binary32)) x))
✓	cost-diff	0	(*.f32 x x)
✓	cost-diff	0	(fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32))) #s(literal -1/3 binary32)) #s(literal 1 binary32))
✓	cost-diff	160	(/.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32))) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)
✓	cost-diff	192	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32))) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x))

Rules

13 280×	`accelerator-lowering-fma.f32`
13 280×	`accelerator-lowering-fma.f64`
4 788×	`-lowering-.f32`
4 788×	`-lowering-.f64`
2 892×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	162
1	78	162
2	195	154
3	547	152
4	1426	152
5	1882	152
6	2069	152
7	2106	152
8	2232	152
9	2550	152
10	2972	150
11	3583	150
12	3889	150
13	4320	150
14	5136	150
15	5560	150
16	5932	150
17	6317	150
18	6745	150
19	7276	150
0	8531	132

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (/ (+ (* (* x x) (+ (* x (* x (+ (* x (* x -44/945)) -4/45))) -1/3)) 1) x))
1
(/ (+ (* (* x x) (+ (* x (* x (+ (* x (* x -44/945)) -4/45))) -1/3)) 1) x)
(+ (* (* x x) (+ (* x (* x (+ (* x (* x -44/945)) -4/45))) -1/3)) 1)
(* x x)
x
(+ (* x (* x (+ (* x (* x -44/945)) -4/45))) -1/3)
(* x (+ (* x (* x -44/945)) -4/45))
(+ (* x (* x -44/945)) -4/45)
(* x -44/945)
-44/945
-4/45
-1/3
(+ (* (+ (* (* x x) 1/7) 1/5) (* (* x x) (* x (* x x)))) (+ (* x (* (* x x) 1/3)) x))
(+ (* (* x x) 1/7) 1/5)
(* x x)
x
1/7
1/5
(* (* x x) (* x (* x x)))
(* x (* x x))
(+ (* x (* (* x x) 1/3)) x)
(* (* x x) 1/3)
1/3

Outputs
(/ 1 (/ (+ (* (* x x) (+ (* x (* x (+ (* x (* x -44/945)) -4/45))) -1/3)) 1) x))
(/.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal -44/945 binary32) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)))
1
#s(literal 1 binary32)
(/ (+ (* (* x x) (+ (* x (* x (+ (* x (* x -44/945)) -4/45))) -1/3)) 1) x)
(fma.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal -44/945 binary32) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) (/.f32 #s(literal 1 binary32) x))
(+ (* (* x x) (+ (* x (* x (+ (* x (* x -44/945)) -4/45))) -1/3)) 1)
(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal -44/945 binary32) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32))
(* x x)
(*.f32 x x)
x
(+ (* x (* x (+ (* x (* x -44/945)) -4/45))) -1/3)
(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal -44/945 binary32) #s(literal -4/45 binary32)) #s(literal -1/3 binary32))
(* x (+ (* x (* x -44/945)) -4/45))
(.f32 x (fma.f32 (.f32 x x) #s(literal -44/945 binary32) #s(literal -4/45 binary32)))
(+ (* x (* x -44/945)) -4/45)
(fma.f32 (*.f32 x x) #s(literal -44/945 binary32) #s(literal -4/45 binary32))
(* x -44/945)
(*.f32 x #s(literal -44/945 binary32))
-44/945
#s(literal -44/945 binary32)
-4/45
#s(literal -4/45 binary32)
-1/3
#s(literal -1/3 binary32)
(+ (* (+ (* (* x x) 1/7) 1/5) (* (* x x) (* x (* x x)))) (+ (* x (* (* x x) 1/3)) x))
(fma.f32 (.f32 x (.f32 x x)) (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) x)
(+ (* (* x x) 1/7) 1/5)
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
(* x x)
(*.f32 x x)
x
1/7
#s(literal 1/7 binary32)
1/5
#s(literal 1/5 binary32)
(* (* x x) (* x (* x x)))
(.f32 x (.f32 x (.f32 x (.f32 x x))))
(* x (* x x))
(.f32 x (.f32 x x))
(+ (* x (* (* x x) 1/3)) x)
(fma.f32 x (.f32 (.f32 x x) #s(literal 1/3 binary32)) x)
(* (* x x) 1/3)
(.f32 (.f32 x x) #s(literal 1/3 binary32))
1/3
#s(literal 1/3 binary32)

localize127.0ms (1.7%)

Memory

3.5MiB live, 198.4MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
✓	accuracy	99.7%	(.f32 x (.f32 x x))
✓	accuracy	99.7%	(.f32 (.f32 x x) (.f32 x (.f32 x x)))
✓	accuracy	99.4%	(.f32 (.f32 x x) #s(literal 1/3 binary32))
✓	accuracy	99.9%	(fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32))) #s(literal -1/3 binary32))
✓	accuracy	99.8%	(*.f32 x #s(literal -44/945 binary32))
✓	accuracy	99.5%	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32))) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x))
✓	accuracy	99.1%	(.f32 x (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)))

Samples

92.0ms

256×

valid

Compiler

Compiled 156 to 30 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-mult: 53.0ms (65.5% of total)

const: 18.0ms (22.2% of total)

ival-add: 6.0ms (7.4% of total)

ival-div: 3.0ms (3.7% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

25.5MiB live, 25.5MiB allocated

Counts

12 → 144

Calls

Call 1

Inputs
#<alt (/ 1 (/ (+ (* (* x x) (+ (* x (* x (+ (* x (* x -44/945)) -4/45))) -1/3)) 1) x))>
#<alt (/ (+ (* (* x x) (+ (* x (* x (+ (* x (* x -44/945)) -4/45))) -1/3)) 1) x)>
#<alt (+ (* (* x x) (+ (* x (* x (+ (* x (* x -44/945)) -4/45))) -1/3)) 1)>
#<alt (* x x)>
#<alt (+ (* (+ (* (* x x) 1/7) 1/5) (* (* x x) (* x (* x x)))) (+ (* x (* (* x x) 1/3)) x))>
#<alt (+ (* (* x x) 1/7) 1/5)>
#<alt (* (* x x) (* x (* x x)))>
#<alt (* x (+ (* x (* x -44/945)) -4/45))>
#<alt (* x -44/945)>
#<alt (+ (* x (* x (+ (* x (* x -44/945)) -4/45))) -1/3)>
#<alt (* (* x x) 1/3)>
#<alt (* x (* x x))>

Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (/ -945/44 (pow x 5))>
#<alt (/ (- (* 19845/484 (/ 1 (pow x 2))) 945/44) (pow x 5))>
#<alt (/ (- (+ (* 19845/484 (/ 1 (pow x 2))) (/ 1607445/21296 (pow x 4))) 945/44) (pow x 5))>
#<alt (/ (- (+ (* 19845/484 (/ 1 (pow x 2))) (/ 1607445/21296 (pow x 4))) (+ 945/44 (* 210575295/234256 (/ 1 (pow x 6))))) (pow x 5))>
#<alt (/ -945/44 (pow x 5))>
#<alt (* -1 (/ (- 945/44 (* 19845/484 (/ 1 (pow x 2)))) (pow x 5)))>
#<alt (* -1 (/ (+ 945/44 (* -1 (/ (+ 19845/484 (* 1607445/21296 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 5)))>
#<alt (* -1 (/ (- (+ 945/44 (* 210575295/234256 (/ 1 (pow x 6)))) (+ (* 19845/484 (/ 1 (pow x 2))) (/ 1607445/21296 (pow x 4)))) (pow x 5)))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1/3 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3))) x)>
#<alt (* -44/945 (pow x 5))>
#<alt (* -1 (* (pow x 5) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))>
#<alt (* (pow x 5) (- (/ 1 (pow x 6)) (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2)))))))>
#<alt (* -44/945 (pow x 5))>
#<alt (* -1 (* (pow x 5) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* (pow x 5) (- (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2))))) (/ 1 (pow x 6)))))>
#<alt 1>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3)))>
#<alt (* -44/945 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2)))))))>
#<alt (* -44/945 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 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 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))>
#<alt 1/5>
#<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 (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (* -4/45 x)>
#<alt (* x (- (* -44/945 (pow x 2)) 4/45))>
#<alt (* x (- (* -44/945 (pow x 2)) 4/45))>
#<alt (* x (- (* -44/945 (pow x 2)) 4/45))>
#<alt (* -44/945 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))>
#<alt (* -44/945 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))>
#<alt (* -44/945 x)>
#<alt (* -44/945 x)>
#<alt (* -44/945 x)>
#<alt (* -44/945 x)>
#<alt (* -44/945 x)>
#<alt (* -44/945 x)>
#<alt (* -44/945 x)>
#<alt (* -44/945 x)>
#<alt (* -44/945 x)>
#<alt (* -44/945 x)>
#<alt (* -44/945 x)>
#<alt (* -44/945 x)>
#<alt -1/3>
#<alt (- (* -4/45 (pow x 2)) 1/3)>
#<alt (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3)>
#<alt (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3)>
#<alt (* -44/945 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))>
#<alt (* -44/945 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))>
#<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 (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>

Calls

36 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/ 1 (/ (+ (* (* x x) (+ (* x (* x (+ (* x (* x -44/945)) -4/45))) -1/3)) 1) x))
0.0ms	x	@	inf	(* x (+ (* x (* x -44/945)) -4/45))
0.0ms	x	@	0	(* (* x x) (* x (* x x)))
0.0ms	x	@	-inf	(/ 1 (/ (+ (* (* x x) (+ (* x (* x (+ (* x (* x -44/945)) -4/45))) -1/3)) 1) x))
0.0ms	x	@	0	(/ 1 (/ (+ (* (* x x) (+ (* x (* x (+ (* x (* x -44/945)) -4/45))) -1/3)) 1) x))

rewrite492.0ms (6.5%)

Memory

4.1MiB live, 760.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 042×	`accelerator-lowering-fma.f32`
9 042×	`accelerator-lowering-fma.f64`
4 444×	`-lowering-.f32`
4 444×	`-lowering-.f64`
3 512×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	136
1	171	126
2	1347	126
0	8253	110

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 445

Calls

Call 1

Inputs
(/ 1 (/ (+ (* (* x x) (+ (* x (* x (+ (* x (* x -44/945)) -4/45))) -1/3)) 1) x))
(/ (+ (* (* x x) (+ (* x (* x (+ (* x (* x -44/945)) -4/45))) -1/3)) 1) x)
(+ (* (* x x) (+ (* x (* x (+ (* x (* x -44/945)) -4/45))) -1/3)) 1)
(* x x)
(+ (* (+ (* (* x x) 1/7) 1/5) (* (* x x) (* x (* x x)))) (+ (* x (* (* x x) 1/3)) x))
(+ (* (* x x) 1/7) 1/5)
(* (* x x) (* x (* x x)))
(* x (+ (* x (* x -44/945)) -4/45))
(* x -44/945)
(+ (* x (* x (+ (* x (* x -44/945)) -4/45))) -1/3)
(* (* x x) 1/3)
(* x (* x x))

Outputs
(neg.f32 (neg.f32 (/.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)))))
(exp.f32 (.f32 (log.f32 (/.f32 (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)) #s(literal -1 binary32)))
(pow.f32 (/.f32 (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x) #s(literal -1 binary32))
(pow.f32 (/.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32))
(pow.f32 (pow.f32 (/.f32 (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (.f32 (/.f32 (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x) (/.f32 (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 (log.f32 (/.f32 (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (neg.f32 (/.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)))))
(-.f32 (/.f32 #s(literal 0 binary32) (fma.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) (neg.f32 (.f32 x x)) #s(literal -1 binary32))) (/.f32 x (fma.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) (neg.f32 (.f32 x x)) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x))
(/.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) (neg.f32 x)))
(/.f32 (neg.f32 x) (fma.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) (neg.f32 (*.f32 x x)) #s(literal -1 binary32)))
(/.f32 (/.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32))
(/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) x))
(/.f32 (neg.f32 (/.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)))) #s(literal -1 binary32))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)))) (neg.f32 (/.f32 #s(literal 1 binary32) x)))
(.f32 #s(literal 1 binary32) (/.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32))))
(.f32 x (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32))))
(.f32 #s(literal -1 binary32) (neg.f32 (/.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)))))
(.f32 (neg.f32 x) (/.f32 #s(literal -1 binary32) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32))))
(.f32 (/.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32))) x)
(.f32 (pow.f32 (/.f32 (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x) #s(literal -1/2 binary32)))
(.f32 (/.f32 x (fma.f32 (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) (.f32 (.f32 x x) (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32))))) #s(literal 1 binary32))) (fma.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) (.f32 (.f32 x x) (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32))))))
(.f32 (/.f32 x (fma.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) (.f32 (.f32 x x) (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)))) #s(literal -1 binary32))) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32))) (.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) (.f32 (.f32 x x) (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32))))) #s(literal 1 binary32))) (/.f32 x (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) (.f32 (.f32 x x) (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32))))))))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) (.f32 (.f32 x x) (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)))) #s(literal -1 binary32))) (/.f32 x (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal -1 binary32)))))
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(/.f32 (neg.f32 (neg.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)))) #s(literal -1/9 binary32)))) (neg.f32 (neg.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal 1/3 binary32)))))
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(/.f32 (-.f32 (pow.f32 (/.f32 (.f32 x (.f32 (.f32 x (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32))) (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32))))) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal 1/3 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1/9 binary32) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal 1/3 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (.f32 x (.f32 (.f32 x (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32))) (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32))))) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal 1/3 binary32))) (/.f32 (.f32 x (.f32 (.f32 x (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32))) (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32))))) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal 1/3 binary32))) (fma.f32 (/.f32 #s(literal 1/9 binary32) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal 1/3 binary32))) (/.f32 #s(literal 1/9 binary32) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal 1/3 binary32))) (.f32 (/.f32 (.f32 x (.f32 (.f32 x (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32))) (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32))))) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal 1/3 binary32))) (/.f32 #s(literal 1/9 binary32) (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal 1/3 binary32)))))))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 x (.f32 (.f32 x (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32))) (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32))))) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal 1/3 binary32))) (/.f32 (.f32 x (.f32 (.f32 x (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32))) (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32))))) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal 1/3 binary32)))) (.f32 (/.f32 #s(literal 1/9 binary32) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal 1/3 binary32))) (/.f32 #s(literal 1/9 binary32) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal 1/3 binary32))))) (+.f32 (/.f32 (.f32 x (.f32 (.f32 x (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32))) (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32))))) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal 1/3 binary32))) (/.f32 #s(literal 1/9 binary32) (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal 1/3 binary32)))))
(.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)))
(.f32 (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32))
(.f32 (fma.f32 (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32))) (.f32 x (.f32 (.f32 x (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32))) (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32))))) #s(literal -1/27 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)))) #s(literal 1/9 binary32)) (.f32 (.f32 x x) (.f32 (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32))))))
(.f32 (fma.f32 (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32))) (.f32 x (.f32 (.f32 x (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32))) (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32))))) #s(literal -1/27 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/9 binary32) (fma.f32 x (.f32 (.f32 x (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32))) (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)))) (.f32 (.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32))) #s(literal 1/3 binary32))))))
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(.f32 (neg.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)))) #s(literal -1/9 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal 1/3 binary32)))))
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(.f32 x (.f32 x #s(literal 1/3 binary32)))
(.f32 (.f32 x x) #s(literal 1/3 binary32))
(.f32 #s(literal 1/3 binary32) (.f32 x x))
(.f32 (.f32 x #s(literal 1/3 binary32)) x)
(exp.f32 (*.f32 (log.f32 x) #s(literal 3 binary32)))
(pow.f32 x #s(literal 3 binary32))
(pow.f32 (*.f32 x x) #s(literal 3/2 binary32))
(pow.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 2 binary32))
(pow.f32 (exp.f32 (log.f32 x)) #s(literal 3 binary32))
(.f32 x (.f32 x x))
(.f32 (.f32 x x) x)
(*.f32 (pow.f32 x #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3/2 binary32)))

simplify438.0ms (5.8%)

Memory

-0.7MiB live, 632.2MiB allocated

Algorithm

1×	egg-herbie

Rules

15 546×	`accelerator-lowering-fma.f32`
15 546×	`accelerator-lowering-fma.f64`
4 532×	`-lowering-.f32`
4 532×	`-lowering-.f64`
3 724×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	1154
1	427	1141
2	1314	1116
3	3954	1114
0	8245	1065

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

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))))))))
(/ -945/44 (pow x 5))
(/ (- (* 19845/484 (/ 1 (pow x 2))) 945/44) (pow x 5))
(/ (- (+ (* 19845/484 (/ 1 (pow x 2))) (/ 1607445/21296 (pow x 4))) 945/44) (pow x 5))
(/ (- (+ (* 19845/484 (/ 1 (pow x 2))) (/ 1607445/21296 (pow x 4))) (+ 945/44 (* 210575295/234256 (/ 1 (pow x 6))))) (pow x 5))
(/ -945/44 (pow x 5))
(* -1 (/ (- 945/44 (* 19845/484 (/ 1 (pow x 2)))) (pow x 5)))
(* -1 (/ (+ 945/44 (* -1 (/ (+ 19845/484 (* 1607445/21296 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 5)))
(* -1 (/ (- (+ 945/44 (* 210575295/234256 (/ 1 (pow x 6)))) (+ (* 19845/484 (/ 1 (pow x 2))) (/ 1607445/21296 (pow x 4)))) (pow x 5)))
(/ 1 x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3))) x)
(* -44/945 (pow x 5))
(* -1 (* (pow x 5) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(* (pow x 5) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))
(* (pow x 5) (- (/ 1 (pow x 6)) (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2)))))))
(* -44/945 (pow x 5))
(* -1 (* (pow x 5) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (- (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2))))) (/ 1 (pow x 6)))))
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3)))
(* -44/945 (pow x 6))
(* -1 (* (pow x 6) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2)))))))
(* -44/945 (pow x 6))
(* -1 (* (pow x 6) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 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 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
1/5
(+ 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)))))
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(* -4/45 x)
(* x (- (* -44/945 (pow x 2)) 4/45))
(* x (- (* -44/945 (pow x 2)) 4/45))
(* x (- (* -44/945 (pow x 2)) 4/45))
(* -44/945 (pow x 3))
(* -1 (* (pow x 3) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(* -44/945 (pow x 3))
(* -1 (* (pow x 3) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(* -44/945 x)
(* -44/945 x)
(* -44/945 x)
(* -44/945 x)
(* -44/945 x)
(* -44/945 x)
(* -44/945 x)
(* -44/945 x)
(* -44/945 x)
(* -44/945 x)
(* -44/945 x)
(* -44/945 x)
-1/3
(- (* -4/45 (pow x 2)) 1/3)
(- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3)
(- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3)
(* -44/945 (pow x 4))
(* -1 (* (pow x 4) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))
(* (pow x 4) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))
(* -44/945 (pow x 4))
(* -1 (* (pow x 4) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))
(* (pow x 4) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))
(* 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))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)

Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f32 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 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)
(/ -945/44 (pow x 5))
(/.f32 #s(literal -945/44 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) x))
(/ (- (* 19845/484 (/ 1 (pow x 2))) 945/44) (pow x 5))
(/.f32 (+.f32 #s(literal -945/44 binary32) (/.f32 #s(literal 19845/484 binary32) (.f32 x x))) (.f32 (.f32 x (.f32 x (*.f32 x x))) x))
(/ (- (+ (* 19845/484 (/ 1 (pow x 2))) (/ 1607445/21296 (pow x 4))) 945/44) (pow x 5))
(/.f32 (+.f32 (/.f32 #s(literal 19845/484 binary32) (.f32 x x)) (+.f32 #s(literal -945/44 binary32) (/.f32 #s(literal 1607445/21296 binary32) (.f32 x (.f32 x (.f32 x x)))))) (.f32 (.f32 x (.f32 x (.f32 x x))) x))
(/ (- (+ (* 19845/484 (/ 1 (pow x 2))) (/ 1607445/21296 (pow x 4))) (+ 945/44 (* 210575295/234256 (/ 1 (pow x 6))))) (pow x 5))
(/.f32 (+.f32 #s(literal -945/44 binary32) (+.f32 (/.f32 #s(literal 19845/484 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1607445/21296 binary32) (.f32 x (.f32 x (.f32 x x)))) (/.f32 #s(literal -210575295/234256 binary32) (.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) x) x))))) (.f32 (.f32 x (.f32 x (*.f32 x x))) x))
(/ -945/44 (pow x 5))
(/.f32 #s(literal -945/44 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) x))
(* -1 (/ (- 945/44 (* 19845/484 (/ 1 (pow x 2)))) (pow x 5)))
(/.f32 (+.f32 #s(literal -945/44 binary32) (/.f32 #s(literal 19845/484 binary32) (.f32 x x))) (.f32 (.f32 x (.f32 x (*.f32 x x))) x))
(* -1 (/ (+ 945/44 (* -1 (/ (+ 19845/484 (* 1607445/21296 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 5)))
(/.f32 (+.f32 #s(literal -945/44 binary32) (/.f32 (+.f32 #s(literal 19845/484 binary32) (/.f32 #s(literal 1607445/21296 binary32) (.f32 x x))) (.f32 x x))) (.f32 (.f32 x (.f32 x (.f32 x x))) x))
(* -1 (/ (- (+ 945/44 (* 210575295/234256 (/ 1 (pow x 6)))) (+ (* 19845/484 (/ 1 (pow x 2))) (/ 1607445/21296 (pow x 4)))) (pow x 5)))
(/.f32 (+.f32 #s(literal -945/44 binary32) (+.f32 (/.f32 #s(literal 19845/484 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 1607445/21296 binary32) (.f32 x (.f32 x (.f32 x x)))) (/.f32 #s(literal -210575295/234256 binary32) (.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) x) x))))) (.f32 (.f32 x (.f32 x (*.f32 x x))) x))
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/.f32 (fma.f32 x (*.f32 x #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)
(/ (+ 1 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3))) x)
(/.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3))) x)
(/.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 (*.f32 x x) #s(literal -44/945 binary32) #s(literal -4/45 binary32))) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x)
(* -44/945 (pow x 5))
(.f32 (.f32 (.f32 x (.f32 x (*.f32 x x))) x) #s(literal -44/945 binary32))
(* -1 (* (pow x 5) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) x) (+.f32 #s(literal -44/945 binary32) (/.f32 #s(literal -4/45 binary32) (.f32 x x))))
(* (pow x 5) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))
(.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) x) (+.f32 #s(literal -44/945 binary32) (/.f32 (-.f32 #s(literal -4/45 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (*.f32 x x))))
(* (pow x 5) (- (/ 1 (pow x 6)) (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2)))))))
(.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) x) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) x) x)) (+.f32 (+.f32 #s(literal -44/945 binary32) (/.f32 #s(literal -4/45 binary32) (.f32 x x))) (/.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x (.f32 x x)))))))
(* -44/945 (pow x 5))
(.f32 (.f32 (.f32 x (.f32 x (*.f32 x x))) x) #s(literal -44/945 binary32))
(* -1 (* (pow x 5) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) x) (+.f32 #s(literal -44/945 binary32) (/.f32 #s(literal -4/45 binary32) (.f32 x x))))
(* -1 (* (pow x 5) (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2)))))))
(.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) x) (+.f32 (+.f32 #s(literal -44/945 binary32) (/.f32 #s(literal -4/45 binary32) (.f32 x x))) (/.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x (*.f32 x x))))))
(* -1 (* (pow x 5) (- (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2))))) (/ 1 (pow x 6)))))
(.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) x) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) x) x)) (+.f32 (+.f32 #s(literal -44/945 binary32) (/.f32 #s(literal -4/45 binary32) (.f32 x x))) (/.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x (.f32 x 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 (* (pow x 2) (- (* -4/45 (pow x 2)) 1/3)))
(fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3)))
(fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 (*.f32 x x) #s(literal -44/945 binary32) #s(literal -4/45 binary32))) #s(literal -1/3 binary32)) #s(literal 1 binary32))
(* -44/945 (pow x 6))
(.f32 (.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) x) x) #s(literal -44/945 binary32))
(* -1 (* (pow x 6) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(.f32 (.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) x) x) (+.f32 #s(literal -44/945 binary32) (/.f32 #s(literal -4/45 binary32) (*.f32 x x))))
(* (pow x 6) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))
(.f32 (.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) x) x) (+.f32 #s(literal -44/945 binary32) (/.f32 (-.f32 #s(literal -4/45 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (.f32 x x))))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2)))))))
(fma.f32 (.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) x) x) (+.f32 (+.f32 #s(literal -44/945 binary32) (/.f32 #s(literal -4/45 binary32) (.f32 x x))) (/.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x (*.f32 x x))))) #s(literal 1 binary32))
(* -44/945 (pow x 6))
(.f32 (.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) x) x) #s(literal -44/945 binary32))
(* -1 (* (pow x 6) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(.f32 (.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) x) x) (+.f32 #s(literal -44/945 binary32) (/.f32 #s(literal -4/45 binary32) (*.f32 x x))))
(* (pow x 6) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))
(.f32 (.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) x) x) (+.f32 #s(literal -44/945 binary32) (/.f32 (-.f32 #s(literal -4/45 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (.f32 x x))))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 44/945 (+ (/ 1/3 (pow x 4)) (* 4/45 (/ 1 (pow x 2)))))))
(fma.f32 (.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) x) x) (+.f32 (+.f32 #s(literal -44/945 binary32) (/.f32 #s(literal -4/45 binary32) (.f32 x x))) (/.f32 #s(literal -1/3 binary32) (.f32 x (.f32 x (*.f32 x x))))) #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 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(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)
(* 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 1/3 binary32) (.f32 x (.f32 x (.f32 x x)))) (+.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))) (/ 1 (pow x 6))))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) x) x)) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x)))) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))))))
(* 1/7 (pow x 7))
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 7 binary32)))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (*.f32 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x x))))))
1/5
#s(literal 1/5 binary32)
(+ 1/5 (* 1/7 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
(+ 1/5 (* 1/7 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
(+ 1/5 (* 1/7 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
(* 1/7 (pow x 2))
(.f32 x (.f32 x #s(literal 1/7 binary32)))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
(* 1/7 (pow x 2))
(.f32 x (.f32 x #s(literal 1/7 binary32)))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
(pow x 5)
(.f32 (.f32 x (.f32 x (.f32 x x))) x)
(pow x 5)
(.f32 (.f32 x (.f32 x (.f32 x x))) x)
(pow x 5)
(.f32 (.f32 x (.f32 x (.f32 x x))) x)
(pow x 5)
(.f32 (.f32 x (.f32 x (.f32 x x))) x)
(pow x 5)
(.f32 (.f32 x (.f32 x (.f32 x x))) x)
(pow x 5)
(.f32 (.f32 x (.f32 x (.f32 x x))) x)
(pow x 5)
(.f32 (.f32 x (.f32 x (.f32 x x))) x)
(pow x 5)
(.f32 (.f32 x (.f32 x (.f32 x x))) x)
(pow x 5)
(.f32 (.f32 x (.f32 x (.f32 x x))) x)
(pow x 5)
(.f32 (.f32 x (.f32 x (.f32 x x))) x)
(pow x 5)
(.f32 (.f32 x (.f32 x (.f32 x x))) x)
(pow x 5)
(.f32 (.f32 x (.f32 x (.f32 x x))) x)
(* -4/45 x)
(*.f32 x #s(literal -4/45 binary32))
(* x (- (* -44/945 (pow x 2)) 4/45))
(.f32 x (fma.f32 (.f32 x x) #s(literal -44/945 binary32) #s(literal -4/45 binary32)))
(* x (- (* -44/945 (pow x 2)) 4/45))
(.f32 x (fma.f32 (.f32 x x) #s(literal -44/945 binary32) #s(literal -4/45 binary32)))
(* x (- (* -44/945 (pow x 2)) 4/45))
(.f32 x (fma.f32 (.f32 x x) #s(literal -44/945 binary32) #s(literal -4/45 binary32)))
(* -44/945 (pow x 3))
(.f32 x (.f32 (*.f32 x x) #s(literal -44/945 binary32)))
(* -1 (* (pow x 3) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(.f32 x (fma.f32 (.f32 x x) #s(literal -44/945 binary32) #s(literal -4/45 binary32)))
(* -1 (* (pow x 3) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(.f32 x (fma.f32 (.f32 x x) #s(literal -44/945 binary32) #s(literal -4/45 binary32)))
(* -1 (* (pow x 3) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(.f32 x (fma.f32 (.f32 x x) #s(literal -44/945 binary32) #s(literal -4/45 binary32)))
(* -44/945 (pow x 3))
(.f32 x (.f32 (*.f32 x x) #s(literal -44/945 binary32)))
(* -1 (* (pow x 3) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(.f32 x (fma.f32 (.f32 x x) #s(literal -44/945 binary32) #s(literal -4/45 binary32)))
(* -1 (* (pow x 3) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(.f32 x (fma.f32 (.f32 x x) #s(literal -44/945 binary32) #s(literal -4/45 binary32)))
(* -1 (* (pow x 3) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(.f32 x (fma.f32 (.f32 x x) #s(literal -44/945 binary32) #s(literal -4/45 binary32)))
(* -44/945 x)
(*.f32 x #s(literal -44/945 binary32))
(* -44/945 x)
(*.f32 x #s(literal -44/945 binary32))
(* -44/945 x)
(*.f32 x #s(literal -44/945 binary32))
(* -44/945 x)
(*.f32 x #s(literal -44/945 binary32))
(* -44/945 x)
(*.f32 x #s(literal -44/945 binary32))
(* -44/945 x)
(*.f32 x #s(literal -44/945 binary32))
(* -44/945 x)
(*.f32 x #s(literal -44/945 binary32))
(* -44/945 x)
(*.f32 x #s(literal -44/945 binary32))
(* -44/945 x)
(*.f32 x #s(literal -44/945 binary32))
(* -44/945 x)
(*.f32 x #s(literal -44/945 binary32))
(* -44/945 x)
(*.f32 x #s(literal -44/945 binary32))
(* -44/945 x)
(*.f32 x #s(literal -44/945 binary32))
-1/3
#s(literal -1/3 binary32)
(- (* -4/45 (pow x 2)) 1/3)
(fma.f32 x (*.f32 x #s(literal -4/45 binary32)) #s(literal -1/3 binary32))
(- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3)
(fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal -44/945 binary32) #s(literal -4/45 binary32))) #s(literal -1/3 binary32))
(- (* (pow x 2) (- (* -44/945 (pow x 2)) 4/45)) 1/3)
(fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal -44/945 binary32) #s(literal -4/45 binary32))) #s(literal -1/3 binary32))
(* -44/945 (pow x 4))
(.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal -44/945 binary32))
(* -1 (* (pow x 4) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal -44/945 binary32) (/.f32 #s(literal -4/45 binary32) (*.f32 x x))))
(* (pow x 4) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))
(.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal -44/945 binary32) (/.f32 (-.f32 #s(literal -4/45 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (.f32 x x))))
(* (pow x 4) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))
(.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal -44/945 binary32) (/.f32 (-.f32 #s(literal -4/45 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (.f32 x x))))
(* -44/945 (pow x 4))
(.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal -44/945 binary32))
(* -1 (* (pow x 4) (+ 44/945 (* 4/45 (/ 1 (pow x 2))))))
(.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal -44/945 binary32) (/.f32 #s(literal -4/45 binary32) (*.f32 x x))))
(* (pow x 4) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))
(.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal -44/945 binary32) (/.f32 (-.f32 #s(literal -4/45 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (.f32 x x))))
(* (pow x 4) (- (* -1 (/ (+ 4/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 44/945))
(.f32 (.f32 x (.f32 x (.f32 x x))) (+.f32 #s(literal -44/945 binary32) (/.f32 (-.f32 #s(literal -4/45 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (.f32 x 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)))
(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))

eval109.0ms (1.4%)

Memory: -1.6MiB live, 152.6MiB allocated
Compiler: Compiled 30 750 to 1 836 computations (94% saved)

prune133.0ms (1.8%)

Memory

5.1MiB live, 173.4MiB allocated

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	662	3	665
Fresh	0	0	0
Picked	2	0	2
Done	0	6	6
Total	664	9	673

Accuracy

100.0%

Counts

673 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(fma.f32 (fma.f32 (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) x #s(literal 1/3 binary32)) (.f32 x (.f32 x x)) x)
✓	99.6%	(fma.f32 (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) (.f32 x (*.f32 x x)) x)
✓	99.2%	(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
	99.7%	(/.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)))
	99.7%	(.f32 (/.f32 x (fma.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) (.f32 (.f32 x x) (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)))) #s(literal -1 binary32))) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal -1 binary32)))
	99.7%	(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32))) x)
✓	99.1%	(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
✓	99.7%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
✓	97.5%	x

Compiler

Compiled 412 to 148 computations (64.1% saved)

regimes20.0ms (0.3%)

Memory

1.0MiB live, 38.8MiB allocated

Counts

14 → 1

Calls

Call 1

Inputs
x
(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
(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 (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 (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) x #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 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32))) x)
(fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 (.f32 x x) (.f32 x (.f32 x x))) (fma.f32 x (.f32 (*.f32 x x) #s(literal 1/3 binary32)) x))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32))) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) x)))
(.f32 (/.f32 x (fma.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) (.f32 (.f32 x x) (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)))) #s(literal -1 binary32))) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #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))))

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:

6.0ms	(/.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)))
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	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)

regimes19.0ms (0.3%)

Memory

5.5MiB live, 42.1MiB allocated

Counts

13 → 1

Calls

Call 1

Inputs
x
(fma.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)) x)
(.f32 #s(literal 1/2 binary32) (.f32 x (fma.f32 x (*.f32 x #s(literal 2/3 binary32)) #s(literal 2 binary32))))
(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 (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 (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) x #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 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32))) x)
(fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 (.f32 x x) (.f32 x (.f32 x x))) (fma.f32 x (.f32 (*.f32 x x) #s(literal 1/3 binary32)) x))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32))) #s(literal -1/3 binary32)) #s(literal 1 binary32)) x))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))) x)))
(.f32 (/.f32 x (fma.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) (.f32 (.f32 x x) (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)))) #s(literal -1 binary32))) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal -44/945 binary32)) #s(literal -4/45 binary32)) #s(literal -1/3 binary32)) #s(literal -1 binary32)))

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

Calls

4 calls:

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

regimes12.0ms (0.2%)

Memory

-19.1MiB live, 22.0MiB allocated

Counts

5 → 1

Calls

Call 1

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

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:

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

regimes9.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

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))
2.0ms	x

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
99.6%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
99.6%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes9.0ms (0.1%)

Memory

-20.3MiB live, 19.1MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	(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))
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	x

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
99.2%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
99.2%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes6.0ms (0.1%)

Memory

16.8MiB live, 16.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
97.5%	1	`x`
97.5%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
97.5%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
97.5%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify9.0ms (0.1%)

Memory

-20.1MiB live, 18.3MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`*-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	24	68
1	34	68
2	38	68
3	40	68
4	41	68

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness483.0ms (6.4%)

Memory

40.4MiB live, 351.0MiB allocated

Rules

12 938×	`accelerator-lowering-fma.f32`
12 938×	`accelerator-lowering-fma.f64`
7 488×	`accelerator-lowering-fma.f32`
7 488×	`accelerator-lowering-fma.f64`
5 106×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	404
1	312	390
2	798	382
3	2146	380
4	4029	380
5	6487	380
0	8272	358
0	27	105
1	156	105
2	1237	105
0	8193	92

Stop Event

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

Compiler

Compiled 115 to 50 computations (56.5% saved)

preprocess207.0ms (2.7%)

Memory: -39.7MiB live, 126.8MiB allocated
Compiler: Compiled 160 to 66 computations (58.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	4	7
1	10	7
2	14	7
3	17	7
4	21	7
5	28	7
6	35	7
0	10	12
1	19	12
2	26	12
3	32	12
4	39	12
5	53	12
6	91	12
7	158	12
8	216	12
9	244	12
10	259	12
11	269	12
12	269	12
0	269	10

Iter	Nodes	Cost
0	10	39
1	19	39
2	26	39
3	32	39
4	39	39
5	53	39
6	91	39
7	158	39
8	216	39
9	244	39
10	259	39
11	269	39
12	269	39
0	269	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	10	12
1	19	12
2	26	12
3	32	12
4	39	12
5	53	12
6	91	12
7	158	12
8	216	12
9	244	12
10	259	12
11	269	12
12	269	12
0	269	10

Iter	Nodes	Cost
0	10	39
1	19	39
2	26	39
3	32	39
4	39	39
5	53	39
6	91	39
7	158	39
8	216	39
9	244	39
10	259	39
11	269	39
12	269	39
0	269	35

analyze1.0ms (0%)

sample433.0ms (5.7%)

preprocess57.0ms (0.8%)

explain97.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify14.0ms (0.2%)

localize32.0ms (0.4%)

series4.0ms (0.1%)

rewrite297.0ms (3.9%)

simplify442.0ms (5.8%)

eval22.0ms (0.3%)

prune30.0ms (0.4%)

simplify477.0ms (6.3%)

localize95.0ms (1.3%)

series13.0ms (0.2%)

rewrite362.0ms (4.8%)

simplify431.0ms (5.7%)

eval124.0ms (1.6%)

prune142.0ms (1.9%)

simplify169.0ms (2.2%)

localize274.0ms (3.6%)

series4.0ms (0.1%)

rewrite940.0ms (12.4%)

simplify276.0ms (3.6%)

eval208.0ms (2.7%)

prune118.0ms (1.6%)

simplify448.0ms (5.9%)

localize127.0ms (1.7%)

series9.0ms (0.1%)

rewrite492.0ms (6.5%)

simplify438.0ms (5.8%)

eval109.0ms (1.4%)

prune133.0ms (1.8%)

regimes20.0ms (0.3%)

regimes19.0ms (0.3%)

regimes12.0ms (0.2%)

regimes9.0ms (0.1%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

simplify9.0ms (0.1%)

soundness483.0ms (6.4%)

preprocess207.0ms (2.7%)

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	10	12
1	19	12
2	26	12
3	32	12
4	39	12
5	53	12
6	91	12
7	158	12
8	216	12
9	244	12
10	259	12
11	269	12
12	269	12
0	269	10

Iter	Nodes	Cost
0	10	39
1	19	39
2	26	39
3	32	39
4	39	39
5	53	39
6	91	39
7	158	39
8	216	39
9	244	39
10	259	39
11	269	39
12	269	39
0	269	35