Metrics for Rust f32::atanh

analyze1.0ms (0%)

Memory

2.6MiB live, 2.6MiB 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)

sample795.0ms (9%)

Memory

-19.8MiB live, 539.8MiB allocated

Samples

568.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 210.0ms

ival-atanh: 203.0ms (96.7% of total)

ival-true: 5.0ms (2.4% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

preprocess107.0ms (1.2%)

Memory

-5.5MiB live, 36.5MiB allocated

Algorithm

2×	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	5	9
1	11	9
2	15	9
3	18	9
4	22	9
5	29	9
6	36	9
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 (fma.f32 #s(literal 2 binary32) x #s(literal 0 binary32)) (-.f32 #s(literal 1 binary32) x))))

Call 2

Inputs
(atanh x)
(atanh (neg x))
(neg (atanh (neg x)))

Outputs
(atanh x)
(atanh (neg x))
(neg (atanh (neg x)))

explain253.0ms (2.9%)

Memory

14.0MiB live, 179.8MiB 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

55.0ms

512×

valid

Compiler

Compiled 96 to 40 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 31.0ms (72.7% of total)

ival-div: 4.0ms (9.4% of total)

ival-log1p: 4.0ms (9.4% of total)

ival-sub: 3.0ms (7% of total)

exact: 1.0ms (2.3% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify21.0ms (0.2%)

Memory

-23.1MiB live, 16.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(-.f32 #s(literal 1 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 (fma.f32 #s(literal 2 binary32) x #s(literal 0 binary32)) (-.f32 #s(literal 1 binary32) x))))
1/2
#s(literal 1/2 binary32)
(log (+ 1 (/ (* 2 x) (- 1 x))))
(log1p.f32 (/.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 0 binary32)) (-.f32 #s(literal 1 binary32) x)))
(/ (* 2 x) (- 1 x))
(/.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 0 binary32)) (-.f32 #s(literal 1 binary32) x))
(* 2 x)
(fma.f32 #s(literal 2 binary32) x #s(literal 0 binary32))
2
#s(literal 2 binary32)
x
(- 1 x)
(-.f32 #s(literal 1 binary32) x)
1
#s(literal 1 binary32)

localize47.0ms (0.5%)

Memory

13.2MiB live, 52.8MiB 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

37.0ms

256×

valid

Compiler

Compiled 37 to 11 computations (70.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 25.0ms (81.5% of total)

ival-div: 2.0ms (6.5% of total)

ival-log1p: 2.0ms (6.5% of total)

ival-sub: 1.0ms (3.3% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

5 → 60

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

Calls

15 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)

rewrite464.0ms (5.3%)

Memory

-1.3MiB live, 470.1MiB 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	35
1	49	35
2	399	35
3	5586	35
0	8628	31

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 263

Calls

Call 1

Inputs
(* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x)))))
(log (+ 1 (/ (* 2 x) (- 1 x))))
(/ (* 2 x) (- 1 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 (log.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 (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 (log.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)))) (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)))) (log.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 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)))))
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(*.f32 (/.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) x))
(.f32 (/.f32 (fma.f32 x (.f32 x x) #s(literal 1 binary32)) (fma.f32 (fma.f32 x x x) (*.f32 (fma.f32 x x x) (fma.f32 x x x)) #s(literal 1 binary32))) (fma.f32 (fma.f32 x x x) (-.f32 (fma.f32 x x x) #s(literal 1 binary32)) #s(literal 1 binary32)))
(.f32 (/.f32 (fma.f32 x (.f32 x x) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 x x x) (fma.f32 x x x)))) (-.f32 #s(literal 1 binary32) (fma.f32 x x x)))
(.f32 (/.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (.f32 x (*.f32 x x)))) (-.f32 #s(literal 0 binary32) (fma.f32 x (+.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))))
(.f32 (/.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (.f32 x x))) (+.f32 x #s(literal -1 binary32)))
(neg.f32 (*.f32 x #s(literal -2 binary32)))
(-.f32 #s(literal 0 binary32) (*.f32 x #s(literal -2 binary32)))
(.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
(*.f32 x #s(literal 2 binary32))
(.f32 (.f32 #s(literal 2 binary32) x) #s(literal 1 binary32))
(*.f32 (neg.f32 x) #s(literal -2 binary32))
(.f32 #s(literal -1 binary32) (.f32 x #s(literal -2 binary32)))
(*.f32 #s(literal -2 binary32) (neg.f32 x))

simplify339.0ms (3.8%)

Memory

-17.0MiB live, 540.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 898×	`accelerator-lowering-fma.f32`
9 898×	`accelerator-lowering-fma.f64`
3 580×	`-lowering-.f32`
3 580×	`-lowering-.f64`
2 092×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	445
1	330	422
2	848	414
3	2301	412
4	4428	412
5	6241	412
0	8133	390

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

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

Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 x (fma.f32 x (.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f32 x (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(* 1/2 (log -1))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) #s(literal 0 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 (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x))))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(+.f32 (+.f32 (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x)))) (/.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x (.f32 x (.f32 x x))))))
(* 1/2 (log -1))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) #s(literal 0 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 (fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(fma.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (.f32 x x))) x))
(* 2 x)
(*.f32 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 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(.f32 x (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 2/5 binary32) #s(literal 2/3 binary32)) #s(literal 2 binary32)))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(.f32 x (fma.f32 x (.f32 x (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32))) #s(literal 2/3 binary32))) #s(literal 2 binary32)))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(+.f32 (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 (log.f32 #s(literal -1 binary32)) (+.f32 (/.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 (.f32 x (fma.f32 x #s(literal 2 binary32) #s(literal 2 binary32))) (fma.f32 x x #s(literal 1 binary32)))
-2
#s(literal -2 binary32)
(* -1 (+ 2 (* 2 (/ 1 x))))
(+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(+.f32 (/.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))))
(fma.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))) #s(literal 0 binary32))
-2
#s(literal -2 binary32)
(* -1 (+ 2 (* 2 (/ 1 x))))
(+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(+.f32 (/.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)
(fma.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))) #s(literal 0 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1 x))
(-.f32 #s(literal 1 binary32) x)
(+ 1 (* -1 x))
(-.f32 #s(literal 1 binary32) x)
(+ 1 (* -1 x))
(-.f32 #s(literal 1 binary32) x)
(* -1 x)
(neg.f32 x)
(* x (- (/ 1 x) 1))
(-.f32 #s(literal 1 binary32) x)
(* x (- (/ 1 x) 1))
(-.f32 #s(literal 1 binary32) x)
(* x (- (/ 1 x) 1))
(-.f32 #s(literal 1 binary32) x)
(* -1 x)
(neg.f32 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f32 #s(literal 1 binary32) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f32 #s(literal 1 binary32) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f32 #s(literal 1 binary32) 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))

eval32.0ms (0.4%)

Memory: 32.7MiB live, 70.7MiB allocated
Compiler: Compiled 7 639 to 1 288 computations (83.1% saved)

prune58.0ms (0.7%)

Memory

-37.3MiB live, 138.0MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	317	6	323
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	317	7	324

Accuracy

100.0%

Counts

324 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
▶	98.9%	(.f32 x (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
▶	98.3%	(.f32 x (fma.f32 x (.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)))
▶	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))
✓	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) x))))
▶	96.7%	x

Compiler

Compiled 165 to 105 computations (36.4% saved)

simplify354.0ms (4%)

Memory

2.9MiB live, 595.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-32	(.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
✓	cost-diff	0	(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
✓	cost-diff	0	(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
✓	cost-diff	0	(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32))
✓	cost-diff	-32	(*.f32 x x)
✓	cost-diff	-32	(.f32 x (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
✓	cost-diff	0	(fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
✓	cost-diff	0	(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) #s(literal 1 binary32))
✓	cost-diff	-32	(*.f32 x #s(literal 1/3 binary32))
✓	cost-diff	-32	(.f32 x (fma.f32 x (.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)))
✓	cost-diff	0	(fma.f32 x (*.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32))
✓	cost-diff	0	(fma.f32 x x x)
✓	cost-diff	0	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))
✓	cost-diff	0	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))
✓	cost-diff	352	(/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))

Rules

14 598×	`accelerator-lowering-fma.f32`
14 598×	`accelerator-lowering-fma.f64`
3 966×	`-lowering-.f32`
3 966×	`-lowering-.f64`
1 636×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	207
1	112	203
2	280	197
3	686	197
4	1089	197
5	1340	197
6	2188	179
7	4843	179
8	7415	179
0	8312	157

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (+ (* x (neg x)) 1)))))
(*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 x (/.f32 #s(literal -2 binary32) (+.f32 x #s(literal -1 binary32))) #s(literal 1 binary32))))
1/2
#s(literal 1/2 binary32)
(log (+ 1 (/ (* 2 (+ (* x x) x)) (+ (* x (neg x)) 1))))
(log.f32 (fma.f32 x (/.f32 #s(literal -2 binary32) (+.f32 x #s(literal -1 binary32))) #s(literal 1 binary32)))
(/ (* 2 (+ (* x x) x)) (+ (* x (neg x)) 1))
(fma.f32 x (/.f32 #s(literal -2 binary32) (+.f32 x #s(literal -1 binary32))) #s(literal 0 binary32))
(* 2 (+ (* x x) x))
(fma.f32 x (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) #s(literal 0 binary32))
2
#s(literal 2 binary32)
(+ (* x x) x)
(fma.f32 x x x)
x
(+ (* x (neg x)) 1)
(fma.f32 x (neg.f32 x) #s(literal 1 binary32))
(neg x)
(neg.f32 x)
1
#s(literal 1 binary32)
x
(* x (+ (* x (* x 1/3)) 1))
(fma.f32 x (fma.f32 x (fma.f32 x #s(literal 1/3 binary32) #s(literal 0 binary32)) #s(literal 1 binary32)) #s(literal 0 binary32))
x
(+ (* x (* x 1/3)) 1)
(fma.f32 x (fma.f32 x #s(literal 1/3 binary32) #s(literal 0 binary32)) #s(literal 1 binary32))
(* x 1/3)
(fma.f32 x #s(literal 1/3 binary32) #s(literal 0 binary32))
1/3
#s(literal 1/3 binary32)
1
#s(literal 1 binary32)
(* x (+ (* (* x x) (+ (* (* x x) 1/5) 1/3)) 1))
(fma.f32 x (fma.f32 (fma.f32 x x #s(literal 0 binary32)) (fma.f32 (fma.f32 x x #s(literal 0 binary32)) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) #s(literal 1 binary32)) #s(literal 0 binary32))
x
(+ (* (* x x) (+ (* (* x x) 1/5) 1/3)) 1)
(fma.f32 (fma.f32 x x #s(literal 0 binary32)) (fma.f32 (fma.f32 x x #s(literal 0 binary32)) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) #s(literal 1 binary32))
(* x x)
(fma.f32 x x #s(literal 0 binary32))
(+ (* (* x x) 1/5) 1/3)
(fma.f32 (fma.f32 x x #s(literal 0 binary32)) #s(literal 1/5 binary32) #s(literal 1/3 binary32))
1/5
#s(literal 1/5 binary32)
1/3
#s(literal 1/3 binary32)
1
#s(literal 1 binary32)
(* x (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/7) 1/5)) 1/3)) 1))
(fma.f32 x (fma.f32 (fma.f32 x x #s(literal 0 binary32)) (fma.f32 x (fma.f32 x (fma.f32 (fma.f32 x x #s(literal 0 binary32)) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 0 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)) #s(literal 0 binary32))
x
(+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/7) 1/5)) 1/3)) 1)
(fma.f32 (fma.f32 x x #s(literal 0 binary32)) (fma.f32 x (fma.f32 x (fma.f32 (fma.f32 x x #s(literal 0 binary32)) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 0 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32))
(* x x)
(fma.f32 x x #s(literal 0 binary32))
(+ (* (* x x) (+ (* (* x x) 1/7) 1/5)) 1/3)
(fma.f32 x (fma.f32 x (fma.f32 (fma.f32 x x #s(literal 0 binary32)) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 0 binary32)) #s(literal 1/3 binary32))
(+ (* (* x x) 1/7) 1/5)
(fma.f32 (fma.f32 x x #s(literal 0 binary32)) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
1/7
#s(literal 1/7 binary32)
1/5
#s(literal 1/5 binary32)
1/3
#s(literal 1/3 binary32)
1
#s(literal 1 binary32)

localize95.0ms (1.1%)

Memory

32.6MiB live, 187.6MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32))
✓	accuracy	100.0%	(.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
✓	accuracy	99.9%	(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
✓	accuracy	99.9%	(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
✓	accuracy	100.0%	(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) #s(literal 1 binary32))
✓	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	99.9%	(.f32 x (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
✓	accuracy	100.0%	(fma.f32 x (*.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32))
✓	accuracy	100.0%	(.f32 x (fma.f32 x (.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)))
✓	accuracy	99.0%	(*.f32 x #s(literal 1/3 binary32))
✓	accuracy	100.0%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))
✓	accuracy	100.0%	(neg.f32 x)
✓	accuracy	99.9%	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))
✓	accuracy	99.9%	(/.f32 (*.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))

Samples

57.0ms

256×

valid

Compiler

Compiled 180 to 34 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 21.0ms (47.4% of total)

ival-add: 9.0ms (20.3% of total)

const: 9.0ms (20.3% of total)

ival-div: 2.0ms (4.5% of total)

ival-log1p: 2.0ms (4.5% of total)

ival-neg: 1.0ms (2.3% of total)

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory

-16.0MiB live, 22.2MiB allocated

Counts

16 → 192

Calls

Call 1

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

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

Calls

48 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(* x (+ (* x (* x 1/3)) 1))
0.0ms	x	@	inf	(+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/7) 1/5)) 1/3)) 1)
0.0ms	x	@	-inf	(* x 1/3)
0.0ms	x	@	inf	(+ (* (* x x) (+ (* (* x x) 1/5) 1/3)) 1)
0.0ms	x	@	0	(* 1/2 (log (+ 1 (/ (* 2 (+ (* x x) x)) (+ (* x (neg x)) 1)))))

rewrite570.0ms (6.5%)

Memory

31.0MiB live, 704.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 766×	`accelerator-lowering-fma.f32`
6 766×	`accelerator-lowering-fma.f64`
4 194×	`-lowering-.f32`
4 194×	`-lowering-.f64`
3 582×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	174
1	222	165
2	1915	165
0	8163	141

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 417

Calls

Call 1

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

Outputs
(neg.f32 (.f32 #s(literal -2 binary32) (/.f32 (fma.f32 x x x) (+.f32 #s(literal 1 binary32) (.f32 x x)))))
(neg.f32 (/.f32 (.f32 (fma.f32 x x x) #s(literal -2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 x x))))
(exp.f32 (.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 x x)) (*.f32 #s(literal 2 binary32) (fma.f32 x x x)))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 #s(literal 2 binary32) (fma.f32 x x x))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 #s(literal 2 binary32) (fma.f32 x x x))) #s(literal 1 binary32)) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (.f32 x x)))) (.f32 #s(literal -2 binary32) (/.f32 (fma.f32 x x x) (+.f32 #s(literal 1 binary32) (*.f32 x x)))))
(/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (+.f32 #s(literal 1 binary32) (.f32 x x)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 #s(literal 2 binary32) (fma.f32 x x x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 #s(literal 2 binary32) (fma.f32 x x x))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 #s(literal 2 binary32) (fma.f32 x x x))))))
(/.f32 (.f32 (fma.f32 x x x) #s(literal -2 binary32)) (neg.f32 (+.f32 #s(literal 1 binary32) (.f32 x x))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 #s(literal 2 binary32) (fma.f32 x x x)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 #s(literal 2 binary32) (fma.f32 x x x))) #s(literal 1 binary32))))
(/.f32 (.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 x x)))
(/.f32 (.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (fma.f32 x x x))) (+.f32 #s(literal 1 binary32) (*.f32 x x)))
(/.f32 (.f32 #s(literal 1 binary32) (.f32 (fma.f32 x x x) #s(literal -2 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (neg.f32 (.f32 (fma.f32 x x x) #s(literal -2 binary32))) (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (.f32 x x)))))
(/.f32 (neg.f32 (.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) #s(literal 1 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (neg.f32 (.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (fma.f32 x x x)))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (neg.f32 (.f32 #s(literal 1 binary32) (.f32 (fma.f32 x x x) #s(literal -2 binary32)))) (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x)))))
(/.f32 (neg.f32 (neg.f32 (.f32 (fma.f32 x x x) #s(literal -2 binary32)))) (neg.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (.f32 x x))))))
(.f32 #s(literal 2 binary32) (/.f32 (fma.f32 x x x) (+.f32 #s(literal 1 binary32) (.f32 x x))))
(.f32 (fma.f32 x x x) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x x)))))
(.f32 (fma.f32 x x x) (/.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) (.f32 x x))))
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(/.f32 (neg.f32 (fma.f32 (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))) (.f32 (.f32 x (.f32 x x)) (.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 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))))) (.f32 x (.f32 x x)))) (neg.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 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 (.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 (neg.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))))) (.f32 x x))) (neg.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)))) x)))
(/.f32 (neg.f32 (.f32 x (fma.f32 (.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)))) (.f32 x (.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 (.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)))))) #s(literal 1 binary32)))) (neg.f32 (fma.f32 x (.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 (.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) (.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))))))))
(/.f32 (neg.f32 (.f32 x (fma.f32 (.f32 x x) (.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 (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))))) #s(literal -1 binary32)))) (neg.f32 (fma.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))) #s(literal -1 binary32))))
(/.f32 (neg.f32 (.f32 (fma.f32 (.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)))) (.f32 x (.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 (.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)))))) #s(literal 1 binary32)) x)) (neg.f32 (fma.f32 x (.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 (.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) (.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))))))))
(/.f32 (neg.f32 (.f32 (fma.f32 (.f32 x x) (.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 (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))))) #s(literal -1 binary32)) x)) (neg.f32 (fma.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))) #s(literal -1 binary32))))
(/.f32 (fma.f32 x (.f32 x x) (.f32 (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))) (.f32 (.f32 x (.f32 x x)) (.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 (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) (fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))))))) (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 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 x (fma.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))) #s(literal 1 binary32)))
(.f32 (fma.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))) #s(literal 1 binary32)) x)
(neg.f32 x)
(+.f32 #s(literal 0 binary32) (neg.f32 x))
(-.f32 #s(literal 0 binary32) x)
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) x)) (/.f32 (*.f32 x x) (+.f32 #s(literal 0 binary32) x)))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) (fma.f32 x x (.f32 #s(literal 0 binary32) x)))) (/.f32 (.f32 x (.f32 x x)) (+.f32 #s(literal 0 binary32) (fma.f32 x x (.f32 #s(literal 0 binary32) x)))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (+.f32 #s(literal 0 binary32) x))
(/.f32 (-.f32 #s(literal 0 binary32) (.f32 x (.f32 x x))) (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x))) (neg.f32 (+.f32 #s(literal 0 binary32) x)))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (.f32 x (.f32 x x)))) (neg.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x)))))
(/.f32 (+.f32 #s(literal 0 binary32) (neg.f32 (.f32 x (.f32 x x)))) (+.f32 #s(literal 0 binary32) (-.f32 (.f32 x x) (.f32 #s(literal 0 binary32) (neg.f32 x)))))
(*.f32 x #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) x)

simplify368.0ms (4.2%)

Memory

-3.0MiB live, 556.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 984×	`accelerator-lowering-fma.f32`
9 984×	`accelerator-lowering-fma.f64`
5 320×	`-lowering-.f32`
5 320×	`-lowering-.f64`
2 218×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	1540
1	545	1497
2	1393	1477
3	6058	1472
0	8325	1357

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

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

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

eval191.0ms (2.2%)

Memory: 13.4MiB live, 123.9MiB allocated
Compiler: Compiled 19 971 to 1 936 computations (90.3% saved)

prune84.0ms (1%)

Memory

-9.5MiB live, 191.4MiB allocated

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	694	3	697
Fresh	1	0	1
Picked	0	5	5
Done	0	1	1
Total	695	9	704

Accuracy

100.0%

Counts

704 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.9%	(fma.f32 (.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) x x)
▶	98.3%	(fma.f32 (.f32 x (.f32 x x)) #s(literal 1/3 binary32) x)
▶	99.2%	(/.f32 (.f32 (fma.f32 (.f32 x x) (.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 (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))))) #s(literal -1 binary32)) x) (fma.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))) #s(literal -1 binary32)))
✓	99.3%	(.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
✓	98.9%	(.f32 x (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
✓	98.3%	(.f32 x (fma.f32 x (.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)))
✓	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))
✓	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
✓	96.7%	x

Compiler

Compiled 146 to 75 computations (48.6% saved)

simplify343.0ms (3.9%)

Memory

-18.3MiB live, 669.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
✓	cost-diff	0	(*.f32 x x)
✓	cost-diff	0	(.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))
✓	cost-diff	0	(fma.f32 (.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) x x)
✓	cost-diff	0	(*.f32 x x)
✓	cost-diff	0	(.f32 x (.f32 x x))
✓	cost-diff	0	(fma.f32 (.f32 x (.f32 x x)) #s(literal 1/3 binary32) x)
✓	cost-diff	0	(*.f32 x x)
✓	cost-diff	0	(fma.f32 (.f32 x x) (.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 (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))))) #s(literal -1 binary32))
✓	cost-diff	0	(.f32 (fma.f32 (.f32 x x) (.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 (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))))) #s(literal -1 binary32)) x)
✓	cost-diff	2592	(/.f32 (.f32 (fma.f32 (.f32 x x) (.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 (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))))) #s(literal -1 binary32)) x) (fma.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))) #s(literal -1 binary32)))

Rules

15 000×	`accelerator-lowering-fma.f32`
15 000×	`accelerator-lowering-fma.f64`
3 338×	`+-lowering-+.f64`
3 338×	`+-lowering-+.f32`
3 132×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	314
1	90	312
2	269	306
3	941	264
4	3851	262
5	7462	262
0	8155	230

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize167.0ms (1.9%)

Memory

-16.5MiB live, 147.4MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f32 x x)
✓	accuracy	99.9%	(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
✓	accuracy	99.4%	(*.f32 x #s(literal 1/5 binary32))
✓	accuracy	99.4%	(.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))
✓	accuracy	100.0%	(fma.f32 (.f32 x (.f32 x x)) #s(literal 1/3 binary32) x)
✓	accuracy	100.0%	(*.f32 x x)
✓	accuracy	99.7%	(.f32 x (.f32 x x))
✓	accuracy	99.5%	(.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))))
✓	accuracy	99.4%	(.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
✓	accuracy	99.1%	(.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	98.5%	(*.f32 x #s(literal 1/7 binary32))

Samples

99.0ms

256×

valid

Compiler

Compiled 282 to 31 computations (89% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-mult: 69.0ms (79.1% of total)

const: 9.0ms (10.3% of total)

ival-add: 7.0ms (8% of total)

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

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Memory

16.9MiB live, 16.9MiB allocated

Counts

14 → 168

Calls

Call 1

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

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 (* x (- (* 1/9 (pow x 4)) 1))>
#<alt (* x (- (* (pow x 4) (+ 1/9 (* 2/15 (pow x 2)))) 1))>
#<alt (* x (- (* (pow x 4) (+ 1/9 (* (pow x 2) (+ 2/15 (* 71/525 (pow x 2)))))) 1))>
#<alt (* 1/49 (pow x 13))>
#<alt (* (pow x 13) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))>
#<alt (* (pow x 13) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* (pow x 13) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))>
#<alt (* 1/49 (pow x 13))>
#<alt (* (pow x 13) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 13) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49)))>
#<alt (* -1 (* (pow x 13) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))))>
#<alt -1>
#<alt (- (* 1/9 (pow x 4)) 1)>
#<alt (- (* (pow x 4) (+ 1/9 (* 2/15 (pow x 2)))) 1)>
#<alt (- (* (pow x 4) (+ 1/9 (* (pow x 2) (+ 2/15 (* 71/525 (pow x 2)))))) 1)>
#<alt (* 1/49 (pow x 12))>
#<alt (* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))>
#<alt (* 1/49 (pow x 12))>
#<alt (* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))>
#<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 (* 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 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* 1/5 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/5 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt 1/3>
#<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)>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* 1/7 (pow x 5))>
#<alt (* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/7 (pow x 5))>
#<alt (* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* 1/5 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 (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>

Calls

42 calls:

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

rewrite541.0ms (6.1%)

Memory

7.9MiB live, 720.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 238×	`-lowering-.f32`
5 238×	`-lowering-.f64`
4 972×	`accelerator-lowering-fma.f32`
4 972×	`accelerator-lowering-fma.f64`
4 510×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	228
1	180	156
2	1409	156
0	8160	137

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 509

Calls

Call 1

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

Outputs
(neg.f32 (.f32 (/.f32 x #s(literal -1 binary32)) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
(neg.f32 (-.f32 (/.f32 #s(literal 0 binary32) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal -1 binary32))) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)))))
(exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 #s(literal 1 binary32) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (.f32 (/.f32 x #s(literal -1 binary32)) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
(-.f32 #s(literal 0 binary32) (-.f32 (/.f32 #s(literal 0 binary32) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal -1 binary32))) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal -1 binary32)))) (.f32 (/.f32 x #s(literal -1 binary32)) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32))))))
(/.f32 (.f32 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 (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) (.f32 x x)) #s(literal -1 binary32))) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal -1 binary32)))
(/.f32 (.f32 (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 (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) (.f32 x x)) #s(literal -1 binary32)) (neg.f32 x)) (neg.f32 (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (-.f32 (+.f32 (pow.f32 (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) (.f32 (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) #s(literal -1 binary32)))) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal -1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (pow.f32 (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) #s(literal 6 binary32))) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (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 (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) (.f32 x x)) #s(literal 1 binary32)) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal -1 binary32))) (.f32 (+.f32 (pow.f32 (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) #s(literal 4 binary32)) #s(literal -1 binary32)) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal -1 binary32)) (.f32 (.f32 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 (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) (*.f32 x x)) #s(literal -1 binary32))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (+.f32 (pow.f32 (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) (.f32 (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) #s(literal -1 binary32)))) (.f32 (+.f32 #s(literal -1 binary32) (pow.f32 (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) #s(literal 6 binary32))) (/.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal -1 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (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 (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) (.f32 x x)) #s(literal 1 binary32)) (.f32 (+.f32 (pow.f32 (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) #s(literal 4 binary32)) #s(literal -1 binary32)) (/.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal -1 binary32))))))
(/.f32 (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 (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) (.f32 x x)) #s(literal -1 binary32)) (/.f32 (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal -1 binary32)) x))
(/.f32 (/.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (.f32 (.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) (*.f32 x x)) #s(literal -1 binary32))))
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(+.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))) (.f32 (*.f32 x x) #s(literal 1/3 binary32)))
(+.f32 (.f32 (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))) x) (.f32 (*.f32 x x) #s(literal 1/3 binary32)))
(+.f32 (.f32 (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (.f32 x x)) (.f32 (*.f32 x x) #s(literal 1/3 binary32)))
(fma.f32 x (.f32 x #s(literal 1/3 binary32)) (.f32 (.f32 x x) (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))))
(fma.f32 x (.f32 x #s(literal 1/3 binary32)) (.f32 (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (.f32 x x)))
(fma.f32 x (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))) (.f32 (.f32 x x) #s(literal 1/3 binary32)))
(fma.f32 (.f32 x x) (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (.f32 (.f32 x x) #s(literal 1/3 binary32)))
(fma.f32 (.f32 x x) #s(literal 1/3 binary32) (.f32 (.f32 x x) (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))))
(fma.f32 (.f32 x x) #s(literal 1/3 binary32) (.f32 (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (.f32 x x)))
(fma.f32 (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (.f32 x x) (.f32 (.f32 x x) #s(literal 1/3 binary32)))
(fma.f32 #s(literal 1/3 binary32) (.f32 x x) (.f32 (.f32 x x) (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))))
(fma.f32 #s(literal 1/3 binary32) (.f32 x x) (.f32 (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (.f32 x x)))
(fma.f32 (.f32 x #s(literal 1/3 binary32)) x (.f32 (.f32 x x) (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))))
(fma.f32 (.f32 x #s(literal 1/3 binary32)) x (.f32 (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (.f32 x x)))
(fma.f32 (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))) x (.f32 (.f32 x x) #s(literal 1/3 binary32)))
(/.f32 (.f32 x x) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))) (-.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) (.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))))) (.f32 (.f32 x x) (fma.f32 (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (.f32 (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (.f32 (.f32 x 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) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal -1/3 binary32)) (.f32 (.f32 x x) (fma.f32 (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))) #s(literal -1/9 binary32)))))
(/.f32 (.f32 (.f32 x x) (fma.f32 (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (.f32 (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))))) #s(literal 1/27 binary32))) (fma.f32 (.f32 x x) (.f32 (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))) (-.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) (.f32 (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) (fma.f32 (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))) #s(literal -1/9 binary32))) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal -1/3 binary32)))
(/.f32 (neg.f32 (.f32 (.f32 x x) (fma.f32 (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (.f32 (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))))) #s(literal 1/27 binary32)))) (neg.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))) (-.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) (.f32 (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))))))
(/.f32 (neg.f32 (.f32 (.f32 x x) (fma.f32 (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))) #s(literal -1/9 binary32)))) (neg.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 (fma.f32 #s(literal 1/27 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))) (pow.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))) #s(literal 3 binary32))) (fma.f32 (.f32 (.f32 x x) #s(literal 1/3 binary32)) (.f32 (.f32 x x) #s(literal 1/3 binary32)) (-.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))) (.f32 (.f32 x x) (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))))) (.f32 (.f32 (.f32 x x) #s(literal 1/3 binary32)) (.f32 (.f32 x x) (.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))))))))
(/.f32 (fma.f32 #s(literal 1/27 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))) (pow.f32 (.f32 (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (.f32 x x)) #s(literal 3 binary32))) (fma.f32 (.f32 (.f32 x x) #s(literal 1/3 binary32)) (.f32 (.f32 x x) #s(literal 1/3 binary32)) (-.f32 (.f32 (.f32 (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (.f32 x x)) (.f32 (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (.f32 x x))) (.f32 (.f32 (.f32 x x) #s(literal 1/3 binary32)) (.f32 (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (*.f32 x x))))))
(/.f32 (+.f32 (pow.f32 (.f32 x (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))))) #s(literal 3 binary32)) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/27 binary32)))) (fma.f32 (.f32 x (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))))) (.f32 x (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))))) (-.f32 (.f32 (.f32 (.f32 x x) #s(literal 1/3 binary32)) (.f32 (.f32 x x) #s(literal 1/3 binary32))) (.f32 (.f32 x (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))))) (.f32 (.f32 x x) #s(literal 1/3 binary32))))))
(/.f32 (+.f32 (pow.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))) #s(literal 3 binary32)) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/27 binary32)))) (fma.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))) (.f32 (.f32 x x) (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))) (-.f32 (.f32 (.f32 (.f32 x x) #s(literal 1/3 binary32)) (.f32 (.f32 x x) #s(literal 1/3 binary32))) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))) (.f32 (.f32 x x) #s(literal 1/3 binary32))))))
(/.f32 (+.f32 (pow.f32 (.f32 (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))) x) #s(literal 3 binary32)) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/27 binary32)))) (fma.f32 (.f32 (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))) x) (.f32 (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))) x) (-.f32 (.f32 (.f32 (.f32 x x) #s(literal 1/3 binary32)) (.f32 (.f32 x x) #s(literal 1/3 binary32))) (.f32 (.f32 (.f32 (.f32 x x) (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))) x) (.f32 (.f32 x x) #s(literal 1/3 binary32))))))
(/.f32 (+.f32 (pow.f32 (.f32 (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (.f32 x x)) #s(literal 3 binary32)) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/27 binary32)))) (fma.f32 (.f32 (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (.f32 x x)) (.f32 (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (.f32 x x)) (-.f32 (.f32 (.f32 (.f32 x x) #s(literal 1/3 binary32)) (.f32 (.f32 x x) #s(literal 1/3 binary32))) (.f32 (.f32 (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (.f32 x x)) (.f32 (.f32 x x) #s(literal 1/3 binary32))))))
(.f32 x (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))))
(.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))
(.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (.f32 x x))
(.f32 (.f32 x (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) x)
(.f32 (.f32 (.f32 x x) (fma.f32 (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (.f32 (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (.f32 (.f32 x 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) (fma.f32 (.f32 x x) (.f32 (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))) (-.f32 #s(literal 1/9 binary32) (.f32 (.f32 x x) (.f32 (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) (fma.f32 (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) (.f32 (.f32 x x) (.f32 x (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 (.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 #s(literal 1/5 binary32))
(*.f32 #s(literal 1/5 binary32) x)

simplify554.0ms (6.3%)

Memory

20.7MiB live, 646.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12 388×	`accelerator-lowering-fma.f32`
12 388×	`accelerator-lowering-fma.f64`
4 168×	`-lowering-.f32`
4 168×	`-lowering-.f64`
2 906×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	1435
1	481	1405
2	1291	1395
3	3554	1383
4	7501	1383
0	8174	1317

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

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)
(* x (- (* 1/9 (pow x 4)) 1))
(* x (- (* (pow x 4) (+ 1/9 (* 2/15 (pow x 2)))) 1))
(* x (- (* (pow x 4) (+ 1/9 (* (pow x 2) (+ 2/15 (* 71/525 (pow x 2)))))) 1))
(* 1/49 (pow x 13))
(* (pow x 13) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(* (pow x 13) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 13) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))
(* 1/49 (pow x 13))
(* (pow x 13) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(* -1 (* (pow x 13) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49)))
(* -1 (* (pow x 13) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))))
-1
(- (* 1/9 (pow x 4)) 1)
(- (* (pow x 4) (+ 1/9 (* 2/15 (pow x 2)))) 1)
(- (* (pow x 4) (+ 1/9 (* (pow x 2) (+ 2/15 (* 71/525 (pow x 2)))))) 1)
(* 1/49 (pow x 12))
(* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))
(* 1/49 (pow x 12))
(* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))
(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 (* 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 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
1/3
(+ 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)
(* 1/3 x)
(* x (+ 1/3 (* 1/5 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* 1/7 (pow x 5))
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/7 (pow x 5))
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* 1/5 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)))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)

Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 x (fma.f32 x (.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f32 x (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f32 x (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(* 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 (-.f32 #s(literal 1/7 binary32) (/.f32 #s(literal -1/5 binary32) (.f32 x x))) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x)))) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 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)))
(fma.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))) #s(literal 0 binary32))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(fma.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))))) #s(literal 0 binary32))
(* -1 x)
(neg.f32 x)
(* x (- (* 1/9 (pow x 4)) 1))
(.f32 x (fma.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 1/9 binary32) #s(literal -1 binary32)))
(* x (- (* (pow x 4) (+ 1/9 (* 2/15 (pow x 2)))) 1))
(.f32 x (fma.f32 (.f32 x (.f32 x (.f32 x x))) (fma.f32 x (*.f32 x #s(literal 2/15 binary32)) #s(literal 1/9 binary32)) #s(literal -1 binary32)))
(* x (- (* (pow x 4) (+ 1/9 (* (pow x 2) (+ 2/15 (* 71/525 (pow x 2)))))) 1))
(.f32 x (fma.f32 (.f32 x (.f32 x (.f32 x x))) (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 71/525 binary32) #s(literal 2/15 binary32))) #s(literal 1/9 binary32)) #s(literal -1 binary32)))
(* 1/49 (pow x 13))
(*.f32 #s(literal 1/49 binary32) (pow.f32 x #s(literal 13 binary32)))
(* (pow x 13) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 13 binary32)) (+.f32 #s(literal 1/49 binary32) (/.f32 #s(literal 2/35 binary32) (.f32 x x))))
(* (pow x 13) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(.f32 (pow.f32 x #s(literal 13 binary32)) (+.f32 (/.f32 #s(literal 2/35 binary32) (.f32 x x)) (+.f32 #s(literal 1/49 binary32) (/.f32 #s(literal 71/525 binary32) (.f32 x (.f32 x (*.f32 x x)))))))
(* (pow x 13) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))
(.f32 (pow.f32 x #s(literal 13 binary32)) (+.f32 (/.f32 #s(literal 2/35 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 71/525 binary32) (.f32 x (.f32 x (.f32 x x)))) (+.f32 #s(literal 1/49 binary32) (/.f32 #s(literal 2/15 binary32) (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x))))))))))
(* 1/49 (pow x 13))
(*.f32 #s(literal 1/49 binary32) (pow.f32 x #s(literal 13 binary32)))
(* (pow x 13) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 13 binary32)) (+.f32 #s(literal 1/49 binary32) (/.f32 #s(literal 2/35 binary32) (.f32 x x))))
(* -1 (* (pow x 13) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49)))
(fma.f32 (pow.f32 x #s(literal 13 binary32)) (+.f32 #s(literal 1/49 binary32) (/.f32 (+.f32 #s(literal 2/35 binary32) (/.f32 #s(literal 71/525 binary32) (.f32 x x))) (.f32 x x))) #s(literal 0 binary32))
(* -1 (* (pow x 13) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))))
(fma.f32 (pow.f32 x #s(literal 13 binary32)) (+.f32 (+.f32 #s(literal 1/49 binary32) (/.f32 #s(literal 2/35 binary32) (.f32 x x))) (/.f32 (+.f32 #s(literal 71/525 binary32) (/.f32 #s(literal 2/15 binary32) (.f32 x x))) (.f32 x (.f32 x (*.f32 x x))))) #s(literal 0 binary32))
-1
#s(literal -1 binary32)
(- (* 1/9 (pow x 4)) 1)
(fma.f32 (.f32 x (.f32 x (*.f32 x x))) #s(literal 1/9 binary32) #s(literal -1 binary32))
(- (* (pow x 4) (+ 1/9 (* 2/15 (pow x 2)))) 1)
(fma.f32 (.f32 x (.f32 x (.f32 x x))) (fma.f32 x (.f32 x #s(literal 2/15 binary32)) #s(literal 1/9 binary32)) #s(literal -1 binary32))
(- (* (pow x 4) (+ 1/9 (* (pow x 2) (+ 2/15 (* 71/525 (pow x 2)))))) 1)
(fma.f32 (.f32 x (.f32 x (.f32 x x))) (fma.f32 x (.f32 x (fma.f32 (*.f32 x x) #s(literal 71/525 binary32) #s(literal 2/15 binary32))) #s(literal 1/9 binary32)) #s(literal -1 binary32))
(* 1/49 (pow x 12))
(*.f32 #s(literal 1/49 binary32) (pow.f32 x #s(literal 12 binary32)))
(* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(.f32 (+.f32 #s(literal 1/49 binary32) (/.f32 #s(literal 2/35 binary32) (.f32 x x))) (pow.f32 x #s(literal 12 binary32)))
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(.f32 (+.f32 (/.f32 #s(literal 2/35 binary32) (.f32 x x)) (+.f32 #s(literal 1/49 binary32) (/.f32 #s(literal 71/525 binary32) (.f32 x (.f32 x (*.f32 x x)))))) (pow.f32 x #s(literal 12 binary32)))
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))
(.f32 (+.f32 (/.f32 #s(literal 2/35 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 71/525 binary32) (.f32 x (.f32 x (.f32 x x)))) (+.f32 #s(literal 1/49 binary32) (/.f32 #s(literal 2/15 binary32) (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x))))))))) (pow.f32 x #s(literal 12 binary32)))
(* 1/49 (pow x 12))
(*.f32 #s(literal 1/49 binary32) (pow.f32 x #s(literal 12 binary32)))
(* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(.f32 (+.f32 #s(literal 1/49 binary32) (/.f32 #s(literal 2/35 binary32) (.f32 x x))) (pow.f32 x #s(literal 12 binary32)))
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(.f32 (+.f32 (/.f32 #s(literal 2/35 binary32) (.f32 x x)) (+.f32 #s(literal 1/49 binary32) (/.f32 #s(literal 71/525 binary32) (.f32 x (.f32 x (*.f32 x x)))))) (pow.f32 x #s(literal 12 binary32)))
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))
(.f32 (+.f32 (/.f32 #s(literal 2/35 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 71/525 binary32) (.f32 x (.f32 x (.f32 x x)))) (+.f32 #s(literal 1/49 binary32) (/.f32 #s(literal 2/15 binary32) (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x))))))))) (pow.f32 x #s(literal 12 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))))
(.f32 x (fma.f32 x (.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 x (fma.f32 x (.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 x (fma.f32 x (.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(* 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))))
(.f32 x (fma.f32 x (.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f32 x (fma.f32 x (.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f32 x (fma.f32 x (.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(* 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))))
(.f32 x (fma.f32 x (.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f32 x (fma.f32 x (.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f32 x (fma.f32 x (.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 x (fma.f32 x (.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f32 x (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f32 x (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(* 1/5 (pow x 5))
(.f32 #s(literal 1/5 binary32) (.f32 (.f32 x (.f32 x (*.f32 x 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 (.f32 x (.f32 x (.f32 x x))) x))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f32 (.f32 (.f32 x (.f32 x (.f32 x 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 (.f32 x (.f32 x (.f32 x 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 (.f32 x (.f32 x (*.f32 x 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 (.f32 x (.f32 x (.f32 x x))) x))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(fma.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) x) (+.f32 #s(literal 1/5 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 x x))) #s(literal 0 binary32))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(fma.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) x) (+.f32 #s(literal 1/5 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 x x))) #s(literal 0 binary32))
(* 1/3 (pow x 2))
(.f32 x (.f32 x #s(literal 1/3 binary32)))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))))
(* 1/5 (pow x 4))
(.f32 x (.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x x))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))))
(* 1/5 (pow x 4))
(.f32 x (.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x x))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))))
1/3
#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))
(* 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 #s(literal 1/7 binary32) (/.f32 #s(literal -1/5 binary32) (.f32 x x))) (.f32 (.f32 x (.f32 x (.f32 x x))) x))
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (+.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)))))) (.f32 (.f32 x (.f32 x (*.f32 x x))) x))
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (+.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)))))) (.f32 (.f32 x (.f32 x (*.f32 x 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 #s(literal 1/7 binary32) (/.f32 #s(literal -1/5 binary32) (.f32 x x))) (.f32 (.f32 x (.f32 x (.f32 x x))) x))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(fma.f32 (.f32 (.f32 x (.f32 x (.f32 x 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))) #s(literal 0 binary32))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(fma.f32 (.f32 (.f32 x (.f32 x (.f32 x 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))) #s(literal 0 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)))
(* 1/3 (pow x 2))
(.f32 x (.f32 x #s(literal 1/3 binary32)))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))
(* 1/7 (pow x 6))
(.f32 (.f32 x x) (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x (.f32 x x)))))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (-.f32 #s(literal 1/7 binary32) (/.f32 #s(literal -1/5 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x (.f32 x (*.f32 x x))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (+.f32 #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)))))) (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (+.f32 #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)))))) (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x))))))
(* 1/7 (pow x 6))
(.f32 (.f32 x x) (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x (.f32 x x)))))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (-.f32 #s(literal 1/7 binary32) (/.f32 #s(literal -1/5 binary32) (.f32 x x))) (.f32 x (.f32 x (.f32 x (.f32 x (*.f32 x x))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (+.f32 #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)))))) (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (+.f32 #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)))))) (.f32 x (.f32 x (.f32 x (.f32 x (.f32 x x))))))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))

eval152.0ms (1.7%)

Memory: -1.3MiB live, 266.3MiB allocated
Compiler: Compiled 50 152 to 2 707 computations (94.6% saved)

prune201.0ms (2.3%)

Memory

-24.0MiB live, 248.9MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	889	2	891
Fresh	0	0	0
Picked	1	2	3
Done	0	6	6
Total	890	10	900

Accuracy

100.0%

Counts

900 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.9%	(fma.f32 (.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) x x)
✓	98.3%	(fma.f32 (.f32 x (.f32 x x)) #s(literal 1/3 binary32) x)
▶	99.4%	(/.f32 (.f32 (fma.f32 (.f32 x (.f32 x (.f32 x x))) (fma.f32 x (.f32 x #s(literal 2/15 binary32)) #s(literal 1/9 binary32)) #s(literal -1 binary32)) x) (fma.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))) #s(literal -1 binary32)))
▶	98.4%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)))))
✓	99.3%	(.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
✓	98.9%	(.f32 x (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
✓	98.3%	(.f32 x (fma.f32 x (.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)))
✓	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))
✓	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
✓	96.7%	x

Compiler

Compiled 152 to 92 computations (39.5% saved)

simplify289.0ms (3.3%)

Memory

26.8MiB live, 571.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f32 x (.f32 x x))
✓	cost-diff	0	(.f32 x (.f32 x (*.f32 x x)))
✓	cost-diff	0	(fma.f32 (.f32 x (.f32 x (.f32 x x))) (fma.f32 x (.f32 x #s(literal 2/15 binary32)) #s(literal 1/9 binary32)) #s(literal -1 binary32))
✓	cost-diff	0	(/.f32 (.f32 (fma.f32 (.f32 x (.f32 x (.f32 x x))) (fma.f32 x (.f32 x #s(literal 2/15 binary32)) #s(literal 1/9 binary32)) #s(literal -1 binary32)) x) (fma.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))) #s(literal -1 binary32)))
✓	cost-diff	0	(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32))
✓	cost-diff	0	(.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
✓	cost-diff	704	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)))))

Rules

8 954×	`accelerator-lowering-fma.f32`
8 954×	`accelerator-lowering-fma.f64`
4 138×	`-lowering-.f32`
4 138×	`-lowering-.f64`
2 576×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	278
1	114	264
2	350	262
3	909	260
4	1540	260
5	3053	260
6	3741	260
7	6096	260
0	8125	227

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (/ 1 (* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 1/7)) 1/5)) 1/3)) 1))))
1
(/ 1 (* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 1/7)) 1/5)) 1/3)) 1)))
(* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 1/7)) 1/5)) 1/3)) 1))
x
(+ (* (* x x) (+ (* (* x x) (+ (* x (* x 1/7)) 1/5)) 1/3)) 1)
(* x x)
(+ (* (* x x) (+ (* x (* x 1/7)) 1/5)) 1/3)
(+ (* x (* x 1/7)) 1/5)
(* x 1/7)
1/7
1/5
1/3
(/ (* (+ (* (* x (* x (* x x))) (+ (* x (* x 2/15)) 1/9)) -1) x) (+ (* x (* x (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3))) -1))
(* (+ (* (* x (* x (* x x))) (+ (* x (* x 2/15)) 1/9)) -1) x)
(+ (* (* x (* x (* x x))) (+ (* x (* x 2/15)) 1/9)) -1)
(* x (* x (* x x)))
x
(* x (* x x))
(* x x)
(+ (* x (* x 2/15)) 1/9)
(* x 2/15)
2/15
1/9
-1
(+ (* x (* x (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3))) -1)
(* 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

Outputs
(/ 1 (/ 1 (* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 1/7)) 1/5)) 1/3)) 1))))
(.f32 x (fma.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)) #s(literal 1 binary32)))
1
#s(literal 1 binary32)
(/ 1 (* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 1/7)) 1/5)) 1/3)) 1)))
(/.f32 #s(literal 1 binary32) (.f32 x (fma.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)) #s(literal 1 binary32))))
(* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 1/7)) 1/5)) 1/3)) 1))
(.f32 x (fma.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)) #s(literal 1 binary32)))
x
(+ (* (* x x) (+ (* (* x x) (+ (* x (* x 1/7)) 1/5)) 1/3)) 1)
(fma.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)) #s(literal 1 binary32))
(* x x)
(*.f32 x 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 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 x))) (+ (* x (* x 2/15)) 1/9)) -1) x) (+ (* x (* x (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3))) -1))
(/.f32 (fma.f32 x (fma.f32 (.f32 x (.f32 x (.f32 x x))) (fma.f32 (.f32 x x) #s(literal 2/15 binary32) #s(literal 1/9 binary32)) #s(literal -1 binary32)) #s(literal 0 binary32)) (fma.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)) #s(literal -1 binary32)))
(* (+ (* (* x (* x (* x x))) (+ (* x (* x 2/15)) 1/9)) -1) x)
(fma.f32 x (fma.f32 (.f32 x (.f32 x (.f32 x x))) (fma.f32 (.f32 x x) #s(literal 2/15 binary32) #s(literal 1/9 binary32)) #s(literal -1 binary32)) #s(literal 0 binary32))
(+ (* (* x (* x (* x x))) (+ (* x (* x 2/15)) 1/9)) -1)
(fma.f32 (.f32 x (.f32 x (.f32 x x))) (fma.f32 (.f32 x x) #s(literal 2/15 binary32) #s(literal 1/9 binary32)) #s(literal -1 binary32))
(* x (* x (* x x)))
(.f32 x (.f32 x (*.f32 x x)))
x
(* x (* x x))
(.f32 x (.f32 x x))
(* x x)
(*.f32 x x)
(+ (* x (* x 2/15)) 1/9)
(fma.f32 (*.f32 x x) #s(literal 2/15 binary32) #s(literal 1/9 binary32))
(* x 2/15)
(*.f32 x #s(literal 2/15 binary32))
2/15
#s(literal 2/15 binary32)
1/9
#s(literal 1/9 binary32)
-1
#s(literal -1 binary32)
(+ (* x (* x (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3))) -1)
(fma.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)) #s(literal -1 binary32))
(* 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)

localize143.0ms (1.6%)

Memory

-15.2MiB live, 266.9MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
✓	accuracy	99.1%	(.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	98.5%	(*.f32 x #s(literal 1/7 binary32))
✓	accuracy	98.0%	(*.f32 x #s(literal 2/15 binary32))
✓	accuracy	99.9%	(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
✓	accuracy	99.9%	(fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
✓	accuracy	99.1%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)))))
✓	accuracy	98.5%	(*.f32 x #s(literal 1/7 binary32))

Samples

92.0ms

256×

valid

Compiler

Compiled 260 to 36 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-mult: 50.0ms (63.2% of total)

const: 15.0ms (19% of total)

ival-add: 9.0ms (11.4% of total)

ival-div: 5.0ms (6.3% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

-16.5MiB live, 21.2MiB allocated

Counts

14 → 168

Calls

Call 1

Inputs
#<alt (/ 1 (/ 1 (* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 1/7)) 1/5)) 1/3)) 1))))>
#<alt (/ 1 (* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 1/7)) 1/5)) 1/3)) 1)))>
#<alt (* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 1/7)) 1/5)) 1/3)) 1))>
#<alt (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 1/7)) 1/5)) 1/3)) 1)>
#<alt (/ (* (+ (* (* x (* x (* x x))) (+ (* x (* x 2/15)) 1/9)) -1) x) (+ (* x (* x (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3))) -1))>
#<alt (+ (* (* x (* x (* x x))) (+ (* x (* x 2/15)) 1/9)) -1)>
#<alt (* x (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (* x 1/7)>
#<alt (+ (* (* x x) (+ (* x (* x 1/7)) 1/5)) 1/3)>
#<alt (+ (* x (* x 1/7)) 1/5)>
#<alt (* x 2/15)>
#<alt (* x (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3))>
#<alt (* x (+ (* x (* x 1/7)) 1/5))>

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 1>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt 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 (* 14/15 x)>
#<alt (* x (- 14/15 (* 119/225 (/ 1 (pow x 2)))))>
#<alt (* x (+ 14/15 (* -1 (/ (+ 119/225 (* 539/375 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 14/15 (* 46907/16875 (/ 1 (pow x 6)))) (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4)))))>
#<alt (* 14/15 x)>
#<alt (* -1 (* x (- (* 119/225 (/ 1 (pow x 2))) 14/15)))>
#<alt (* -1 (* x (- (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4))) 14/15)))>
#<alt (* -1 (* x (- (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4))) (+ 14/15 (* 46907/16875 (/ 1 (pow x 6)))))))>
#<alt -1>
#<alt (- (* 1/9 (pow x 4)) 1)>
#<alt (- (* (pow x 4) (+ 1/9 (* 2/15 (pow x 2)))) 1)>
#<alt (- (* (pow x 4) (+ 1/9 (* 2/15 (pow x 2)))) 1)>
#<alt (* 2/15 (pow x 6))>
#<alt (* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 2/15 (* 1/9 (/ 1 (pow x 2)))) (/ 1 (pow x 6))))>
#<alt (* (pow x 6) (- (+ 2/15 (* 1/9 (/ 1 (pow x 2)))) (/ 1 (pow x 6))))>
#<alt (* 2/15 (pow x 6))>
#<alt (* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 2/15 (* 1/9 (/ 1 (pow x 2)))) (/ 1 (pow x 6))))>
#<alt (* (pow x 6) (- (+ 2/15 (* 1/9 (/ 1 (pow x 2)))) (/ 1 (pow x 6))))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* 1/7 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>
#<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>
#<alt (+ 1/5 (* 1/7 (pow x 2)))>
#<alt (+ 1/5 (* 1/7 (pow x 2)))>
#<alt (+ 1/5 (* 1/7 (pow x 2)))>
#<alt (* 1/7 (pow x 2))>
#<alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/7 (pow x 2))>
#<alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 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 (* 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)))))>

Calls

42 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ (* (+ (* (* x (* x (* x x))) (+ (* x (* x 2/15)) 1/9)) -1) x) (+ (* x (* x (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3))) -1))
0.0ms	x	@	inf	(+ (* (* x (* x (* x x))) (+ (* x (* x 2/15)) 1/9)) -1)
0.0ms	x	@	-inf	(/ (* (+ (* (* x (* x (* x x))) (+ (* x (* x 2/15)) 1/9)) -1) x) (+ (* x (* x (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3))) -1))
0.0ms	x	@	-inf	(* x 2/15)
0.0ms	x	@	inf	(/ 1 (* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 1/7)) 1/5)) 1/3)) 1)))

rewrite696.0ms (7.9%)

Memory

16.3MiB live, 1 057.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 428×	`accelerator-lowering-fma.f32`
9 428×	`accelerator-lowering-fma.f64`
4 332×	`-lowering-.f32`
4 332×	`-lowering-.f64`
3 514×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	194
1	229	182
2	1652	182
0	8348	157

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 703

Calls

Call 1

Inputs
(/ 1 (/ 1 (* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 1/7)) 1/5)) 1/3)) 1))))
(/ 1 (* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 1/7)) 1/5)) 1/3)) 1)))
(* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 1/7)) 1/5)) 1/3)) 1))
(+ (* (* x x) (+ (* (* x x) (+ (* x (* x 1/7)) 1/5)) 1/3)) 1)
(/ (* (+ (* (* x (* x (* x x))) (+ (* x (* x 2/15)) 1/9)) -1) x) (+ (* x (* x (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3))) -1))
(+ (* (* x (* x (* x x))) (+ (* x (* x 2/15)) 1/9)) -1)
(* x (* x (* x x)))
(* x (* x x))
(* x 1/7)
(+ (* (* x x) (+ (* x (* x 1/7)) 1/5)) 1/3)
(+ (* x (* x 1/7)) 1/5)
(* x 2/15)
(* x (+ (* x (* x (+ (* x (* x 1/7)) 1/5))) 1/3))
(* x (+ (* x (* x 1/7)) 1/5))

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

simplify459.0ms (5.2%)

Memory

26.4MiB live, 564.6MiB allocated

Algorithm

1×	egg-herbie

Rules

11 832×	`accelerator-lowering-fma.f32`
11 832×	`accelerator-lowering-fma.f64`
3 516×	`-lowering-.f32`
3 516×	`-lowering-.f64`
3 404×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	179	1510
1	546	1489
2	1420	1456
3	3903	1438
4	7431	1438
0	8249	1357

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

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)))))))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
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))))))))
(* 14/15 x)
(* x (- 14/15 (* 119/225 (/ 1 (pow x 2)))))
(* x (+ 14/15 (* -1 (/ (+ 119/225 (* 539/375 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 14/15 (* 46907/16875 (/ 1 (pow x 6)))) (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4)))))
(* 14/15 x)
(* -1 (* x (- (* 119/225 (/ 1 (pow x 2))) 14/15)))
(* -1 (* x (- (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4))) 14/15)))
(* -1 (* x (- (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4))) (+ 14/15 (* 46907/16875 (/ 1 (pow x 6)))))))
-1
(- (* 1/9 (pow x 4)) 1)
(- (* (pow x 4) (+ 1/9 (* 2/15 (pow x 2)))) 1)
(- (* (pow x 4) (+ 1/9 (* 2/15 (pow x 2)))) 1)
(* 2/15 (pow x 6))
(* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 2/15 (* 1/9 (/ 1 (pow x 2)))) (/ 1 (pow x 6))))
(* (pow x 6) (- (+ 2/15 (* 1/9 (/ 1 (pow x 2)))) (/ 1 (pow x 6))))
(* 2/15 (pow x 6))
(* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 2/15 (* 1/9 (/ 1 (pow x 2)))) (/ 1 (pow x 6))))
(* (pow x 6) (- (+ 2/15 (* 1/9 (/ 1 (pow x 2)))) (/ 1 (pow x 6))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/7 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
(+ 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
(+ 1/5 (* 1/7 (pow x 2)))
(+ 1/5 (* 1/7 (pow x 2)))
(+ 1/5 (* 1/7 (pow x 2)))
(* 1/7 (pow x 2))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/7 (pow x 2))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 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)))
(* 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)))))

Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 x (fma.f32 x (.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f32 x (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f32 x (fma.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)) #s(literal 1 binary32)))
(* 1/7 (pow x 7))
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 7 binary32)))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (*.f32 x x)))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x (.f32 x (.f32 x 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))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(fma.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))) #s(literal 0 binary32))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(fma.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))))) #s(literal 0 binary32))
(/ 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 (-.f32 #s(literal 7 binary32) (/.f32 #s(literal 49/5 binary32) (.f32 x x))) (/.f32 #s(literal -196/75 binary32) (.f32 x (.f32 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 (/.f32 #s(literal -49/5 binary32) (.f32 x x)) (+.f32 (/.f32 #s(literal 196/75 binary32) (.f32 x (.f32 x (.f32 x x)))) (+.f32 (/.f32 #s(literal 8428/375 binary32) (.f32 (.f32 (.f32 x (.f32 x (*.f32 x x))) x) x)) #s(literal -7 binary32)))) (pow.f32 x #s(literal 7 binary32)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 x (fma.f32 x (.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f32 x (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f32 x (fma.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)) #s(literal 1 binary32)))
(* 1/7 (pow x 7))
(*.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 7 binary32)))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (*.f32 x x)))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x (.f32 x (.f32 x 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))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(fma.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))) #s(literal 0 binary32))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(fma.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))))) #s(literal 0 binary32))
1
#s(literal 1 binary32)
(+ 1 (* 1/3 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
(fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal 1 binary32))
(* 1/7 (pow x 6))
(.f32 x (.f32 #s(literal 1/7 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) x)))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (.f32 (.f32 (.f32 x (.f32 x (*.f32 x x))) x) x))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x)))))) (.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) x) x))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x)))))) (.f32 (.f32 (.f32 x (.f32 x (*.f32 x x))) x) x) #s(literal 1 binary32))
(* 1/7 (pow x 6))
(.f32 x (.f32 #s(literal 1/7 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) x)))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (.f32 (.f32 (.f32 x (.f32 x (*.f32 x x))) x) x))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x)))))) (.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) x) x))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x)))))) (.f32 (.f32 (.f32 x (.f32 x (*.f32 x x))) x) x) #s(literal 1 binary32))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 x (fma.f32 x (.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f32 x (fma.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f32 x (fma.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)) #s(literal 1 binary32)))
(* 14/15 x)
(*.f32 x #s(literal 14/15 binary32))
(* x (- 14/15 (* 119/225 (/ 1 (pow x 2)))))
(fma.f32 x #s(literal 14/15 binary32) (/.f32 #s(literal -119/225 binary32) x))
(* x (+ 14/15 (* -1 (/ (+ 119/225 (* 539/375 (/ 1 (pow x 2)))) (pow x 2)))))
(fma.f32 x #s(literal 14/15 binary32) (/.f32 (+.f32 #s(literal -119/225 binary32) (/.f32 #s(literal -539/375 binary32) (*.f32 x x))) x))
(* x (- (+ 14/15 (* 46907/16875 (/ 1 (pow x 6)))) (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4)))))
(fma.f32 x (+.f32 (/.f32 #s(literal 46907/16875 binary32) (.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) x) x)) (+.f32 #s(literal 14/15 binary32) (/.f32 #s(literal -539/375 binary32) (.f32 x (.f32 x (.f32 x x)))))) (/.f32 #s(literal -119/225 binary32) x))
(* 14/15 x)
(*.f32 x #s(literal 14/15 binary32))
(* -1 (* x (- (* 119/225 (/ 1 (pow x 2))) 14/15)))
(fma.f32 x #s(literal 14/15 binary32) (/.f32 #s(literal -119/225 binary32) x))
(* -1 (* x (- (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4))) 14/15)))
(fma.f32 x (+.f32 #s(literal 14/15 binary32) (/.f32 #s(literal -539/375 binary32) (.f32 x (.f32 x (*.f32 x x))))) (/.f32 #s(literal -119/225 binary32) x))
(* -1 (* x (- (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4))) (+ 14/15 (* 46907/16875 (/ 1 (pow x 6)))))))
(fma.f32 x (+.f32 (/.f32 #s(literal 46907/16875 binary32) (.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) x) x)) (+.f32 #s(literal 14/15 binary32) (/.f32 #s(literal -539/375 binary32) (.f32 x (.f32 x (.f32 x x)))))) (/.f32 #s(literal -119/225 binary32) x))
-1
#s(literal -1 binary32)
(- (* 1/9 (pow x 4)) 1)
(fma.f32 (.f32 x (.f32 x (*.f32 x x))) #s(literal 1/9 binary32) #s(literal -1 binary32))
(- (* (pow x 4) (+ 1/9 (* 2/15 (pow x 2)))) 1)
(fma.f32 (.f32 x (.f32 x (.f32 x x))) (fma.f32 x (.f32 x #s(literal 2/15 binary32)) #s(literal 1/9 binary32)) #s(literal -1 binary32))
(- (* (pow x 4) (+ 1/9 (* 2/15 (pow x 2)))) 1)
(fma.f32 (.f32 x (.f32 x (.f32 x x))) (fma.f32 x (.f32 x #s(literal 2/15 binary32)) #s(literal 1/9 binary32)) #s(literal -1 binary32))
(* 2/15 (pow x 6))
(.f32 (.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) x) x) #s(literal 2/15 binary32))
(* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(.f32 (.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) x) x) (+.f32 #s(literal 2/15 binary32) (/.f32 #s(literal 1/9 binary32) (*.f32 x x))))
(* (pow x 6) (- (+ 2/15 (* 1/9 (/ 1 (pow x 2)))) (/ 1 (pow x 6))))
(fma.f32 (.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) x) x) (+.f32 #s(literal 2/15 binary32) (/.f32 #s(literal 1/9 binary32) (.f32 x x))) #s(literal -1 binary32))
(* (pow x 6) (- (+ 2/15 (* 1/9 (/ 1 (pow x 2)))) (/ 1 (pow x 6))))
(fma.f32 (.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) x) x) (+.f32 #s(literal 2/15 binary32) (/.f32 #s(literal 1/9 binary32) (.f32 x x))) #s(literal -1 binary32))
(* 2/15 (pow x 6))
(.f32 (.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) x) x) #s(literal 2/15 binary32))
(* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(.f32 (.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) x) x) (+.f32 #s(literal 2/15 binary32) (/.f32 #s(literal 1/9 binary32) (*.f32 x x))))
(* (pow x 6) (- (+ 2/15 (* 1/9 (/ 1 (pow x 2)))) (/ 1 (pow x 6))))
(fma.f32 (.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) x) x) (+.f32 #s(literal 2/15 binary32) (/.f32 #s(literal 1/9 binary32) (.f32 x x))) #s(literal -1 binary32))
(* (pow x 6) (- (+ 2/15 (* 1/9 (/ 1 (pow x 2)))) (/ 1 (pow x 6))))
(fma.f32 (.f32 (.f32 (.f32 x (.f32 x (.f32 x x))) x) x) (+.f32 #s(literal 2/15 binary32) (/.f32 #s(literal 1/9 binary32) (.f32 x x))) #s(literal -1 binary32))
(pow x 4)
(.f32 x (.f32 x (*.f32 x x)))
(pow x 4)
(.f32 x (.f32 x (*.f32 x x)))
(pow x 4)
(.f32 x (.f32 x (*.f32 x x)))
(pow x 4)
(.f32 x (.f32 x (*.f32 x x)))
(pow x 4)
(.f32 x (.f32 x (*.f32 x x)))
(pow x 4)
(.f32 x (.f32 x (*.f32 x x)))
(pow x 4)
(.f32 x (.f32 x (*.f32 x x)))
(pow x 4)
(.f32 x (.f32 x (*.f32 x x)))
(pow x 4)
(.f32 x (.f32 x (*.f32 x x)))
(pow x 4)
(.f32 x (.f32 x (*.f32 x x)))
(pow x 4)
(.f32 x (.f32 x (*.f32 x x)))
(pow x 4)
(.f32 x (.f32 x (*.f32 x x)))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(pow x 3)
(.f32 x (.f32 x x))
(* 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
#s(literal 1/3 binary32)
(+ 1/3 (* 1/5 (pow x 2)))
(fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(fma.f32 x (.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32))
(* 1/7 (pow x 4))
(.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x (.f32 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 x (.f32 x #s(literal 1/5 binary32)) (.f32 (.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)))))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 x (.f32 x #s(literal 1/5 binary32)) (.f32 (.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)))))))
(* 1/7 (pow x 4))
(.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x (.f32 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (.f32 x (fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 x (.f32 x #s(literal 1/5 binary32)) (.f32 (.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)))))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f32 x (.f32 x #s(literal 1/5 binary32)) (.f32 (.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)))))))
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 (.f32 x 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 (.f32 x x) #s(literal 1/7 binary32))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f32 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))
(* 2/15 x)
(*.f32 x #s(literal 2/15 binary32))
(* 2/15 x)
(*.f32 x #s(literal 2/15 binary32))
(* 2/15 x)
(*.f32 x #s(literal 2/15 binary32))
(* 2/15 x)
(*.f32 x #s(literal 2/15 binary32))
(* 2/15 x)
(*.f32 x #s(literal 2/15 binary32))
(* 2/15 x)
(*.f32 x #s(literal 2/15 binary32))
(* 2/15 x)
(*.f32 x #s(literal 2/15 binary32))
(* 2/15 x)
(*.f32 x #s(literal 2/15 binary32))
(* 2/15 x)
(*.f32 x #s(literal 2/15 binary32))
(* 2/15 x)
(*.f32 x #s(literal 2/15 binary32))
(* 2/15 x)
(*.f32 x #s(literal 2/15 binary32))
(* 2/15 x)
(*.f32 x #s(literal 2/15 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 x (*.f32 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 x (*.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)))
(* 1/7 (pow x 5))
(.f32 #s(literal 1/7 binary32) (.f32 (.f32 x (.f32 x (*.f32 x x))) x))
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (.f32 (.f32 x (.f32 x (.f32 x x))) x))
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x)))))) (.f32 (.f32 x (.f32 x (*.f32 x x))) x))
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (.f32 x x)))))) (.f32 (.f32 x (.f32 x (*.f32 x x))) x))
(* 1/7 (pow x 5))
(.f32 #s(literal 1/7 binary32) (.f32 (.f32 x (.f32 x (*.f32 x x))) x))
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (.f32 (.f32 x (.f32 x (.f32 x x))) x))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(fma.f32 (.f32 (.f32 x (.f32 x (.f32 x 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))) #s(literal 0 binary32))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(fma.f32 (.f32 (.f32 x (.f32 x (.f32 x 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))) #s(literal 0 binary32))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
(* 1/7 (pow x 3))
(.f32 x (.f32 (*.f32 x x) #s(literal 1/7 binary32)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
(* 1/7 (pow x 3))
(.f32 x (.f32 (*.f32 x x) #s(literal 1/7 binary32)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))

eval132.0ms (1.5%)

Memory: -9.6MiB live, 282.8MiB allocated
Compiler: Compiled 57 610 to 3 357 computations (94.2% saved)

prune207.0ms (2.3%)

Memory

-7.9MiB live, 345.4MiB allocated

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	930	3	933
Fresh	0	0	0
Picked	1	1	2
Done	0	8	8
Total	931	12	943

Accuracy

100.0%

Counts

943 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.9%	(fma.f32 (.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) x x)
✓	98.3%	(fma.f32 (.f32 x (.f32 x x)) #s(literal 1/3 binary32) x)
	98.6%	(/.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/15 binary32)) #s(literal 1/9 binary32))) #s(literal -1 binary32)) (/.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal -1 binary32)) x))
✓	99.4%	(/.f32 (.f32 (fma.f32 (.f32 x (.f32 x (.f32 x x))) (fma.f32 x (.f32 x #s(literal 2/15 binary32)) #s(literal 1/9 binary32)) #s(literal -1 binary32)) x) (fma.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))) #s(literal -1 binary32)))
	98.5%	(/.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))
	99.4%	(.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/15 binary32)) #s(literal 1/9 binary32))) #s(literal -1 binary32)) (/.f32 x (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal -1 binary32))))
✓	99.3%	(.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
✓	98.9%	(.f32 x (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
✓	98.3%	(.f32 x (fma.f32 x (.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)))
✓	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))
✓	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
✓	96.7%	x

Compiler

Compiled 518 to 213 computations (58.9% saved)

regimes21.0ms (0.2%)

Memory

4.7MiB live, 42.9MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
x
(.f32 x (fma.f32 x (.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(fma.f32 (.f32 x (.f32 x x)) #s(literal 1/3 binary32) x)
(.f32 x (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(fma.f32 (.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) x x)
(.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(/.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) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)))))
(.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/15 binary32)) #s(literal 1/9 binary32))) #s(literal -1 binary32)) (/.f32 x (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal -1 binary32))))
(/.f32 (.f32 (fma.f32 (.f32 x (.f32 x (.f32 x x))) (fma.f32 x (.f32 x #s(literal 2/15 binary32)) #s(literal 1/9 binary32)) #s(literal -1 binary32)) x) (fma.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))) #s(literal -1 binary32)))
(/.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/15 binary32)) #s(literal 1/9 binary32))) #s(literal -1 binary32)) (/.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal -1 binary32)) x))
(/.f32 (.f32 (fma.f32 (.f32 x x) (.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 (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))))) #s(literal -1 binary32)) x) (fma.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))) #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))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) x))))

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

Calls

4 calls:

6.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
5.0ms	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
5.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
5.0ms	x

Results

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

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes27.0ms (0.3%)

Memory

-23.0MiB live, 33.0MiB allocated

Counts

13 → 1

Calls

Call 1

Inputs
x
(.f32 x (fma.f32 x (.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(fma.f32 (.f32 x (.f32 x x)) #s(literal 1/3 binary32) x)
(.f32 x (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(fma.f32 (.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) x x)
(.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(/.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) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)))))
(.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/15 binary32)) #s(literal 1/9 binary32))) #s(literal -1 binary32)) (/.f32 x (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal -1 binary32))))
(/.f32 (.f32 (fma.f32 (.f32 x (.f32 x (.f32 x x))) (fma.f32 x (.f32 x #s(literal 2/15 binary32)) #s(literal 1/9 binary32)) #s(literal -1 binary32)) x) (fma.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))) #s(literal -1 binary32)))
(/.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/15 binary32)) #s(literal 1/9 binary32))) #s(literal -1 binary32)) (/.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal -1 binary32)) x))
(/.f32 (.f32 (fma.f32 (.f32 x x) (.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 (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))))) #s(literal -1 binary32)) x) (fma.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))) #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:

13.0ms	x
4.0ms	(/.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	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))

Results

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

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes17.0ms (0.2%)

Memory

27.1MiB live, 27.1MiB allocated

Counts

12 → 1

Calls

Call 1

Inputs
x
(.f32 x (fma.f32 x (.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(fma.f32 (.f32 x (.f32 x x)) #s(literal 1/3 binary32) x)
(.f32 x (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(fma.f32 (.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) x x)
(.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(/.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) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)))))
(.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/15 binary32)) #s(literal 1/9 binary32))) #s(literal -1 binary32)) (/.f32 x (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal -1 binary32))))
(/.f32 (.f32 (fma.f32 (.f32 x (.f32 x (.f32 x x))) (fma.f32 x (.f32 x #s(literal 2/15 binary32)) #s(literal 1/9 binary32)) #s(literal -1 binary32)) x) (fma.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))) #s(literal -1 binary32)))
(/.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/15 binary32)) #s(literal 1/9 binary32))) #s(literal -1 binary32)) (/.f32 (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal -1 binary32)) x))
(/.f32 (.f32 (fma.f32 (.f32 x x) (.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 (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))))) #s(literal -1 binary32)) x) (fma.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))) #s(literal -1 binary32)))

Outputs

(/.f32 (*.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) (fma.f32 x (*.f32 x #s(literal 2/15 binary32)) #s(literal 1/9 binary32)) #s(literal -1 binary32)) x) (fma.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))) #s(literal -1 binary32)))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
99.4%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
99.4%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes36.0ms (0.4%)

Memory

-6.0MiB live, 33.2MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
x
(.f32 x (fma.f32 x (.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(fma.f32 (.f32 x (.f32 x x)) #s(literal 1/3 binary32) x)
(.f32 x (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(fma.f32 (.f32 (.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/5 binary32)) #s(literal 1/3 binary32))) x x)
(.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(/.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) (.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 1/7 binary32)) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)))))
(.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/15 binary32)) #s(literal 1/9 binary32))) #s(literal -1 binary32)) (/.f32 x (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal -1 binary32))))

Outputs

(*.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 2/15 binary32)) #s(literal 1/9 binary32))) #s(literal -1 binary32)) (/.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal -1 binary32))))

Calls

4 calls:

26.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
3.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
3.0ms	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
3.0ms	x

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
99.4%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
99.4%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes15.0ms (0.2%)

Memory

-4.2MiB live, 32.1MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

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

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
99.3%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
99.3%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes12.0ms (0.1%)

Memory

-12.6MiB live, 24.1MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
98.9%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
98.9%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes8.0ms (0.1%)

Memory

22.6MiB live, 22.5MiB allocated

Counts

3 → 1

Calls

Call 1

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

Outputs
(fma.f32 (.f32 x (.f32 x x)) #s(literal 1/3 binary32) 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	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
2.0ms	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
2.0ms	x

Results

Accuracy	Segments	Branch
98.3%	1	`x`
98.3%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
98.3%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
98.3%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes10.0ms (0.1%)

Memory

-23.4MiB live, 19.5MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

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))
1.0ms	x

Results

Accuracy	Segments	Branch
98.3%	1	`x`
98.3%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
98.3%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
98.3%	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

14.8MiB live, 14.8MiB 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	(/.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	x

Results

Accuracy	Segments	Branch
96.7%	1	`x`
96.7%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
96.7%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
96.7%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify10.0ms (0.1%)

Memory

20.1MiB live, 20.1MiB allocated

Algorithm

1×	egg-herbie

Rules

38×	`*-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	54	141
1	78	141
2	81	141
3	82	141

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(/.f32 (.f32 (fma.f32 (.f32 x (.f32 x (.f32 x x))) (fma.f32 x (.f32 x #s(literal 2/15 binary32)) #s(literal 1/9 binary32)) #s(literal -1 binary32)) x) (fma.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))) #s(literal -1 binary32)))
(.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/15 binary32)) #s(literal 1/9 binary32))) #s(literal -1 binary32)) (/.f32 x (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal -1 binary32))))
(.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(.f32 x (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(fma.f32 (.f32 x (.f32 x x)) #s(literal 1/3 binary32) x)
(.f32 x (fma.f32 x (.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)))
x

Outputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 x x x)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(/.f32 (.f32 (fma.f32 (.f32 x (.f32 x (.f32 x x))) (fma.f32 x (.f32 x #s(literal 2/15 binary32)) #s(literal 1/9 binary32)) #s(literal -1 binary32)) x) (fma.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))) #s(literal -1 binary32)))
(/.f32 (.f32 x (fma.f32 (.f32 x (.f32 x (.f32 x x))) (fma.f32 x (.f32 x #s(literal 2/15 binary32)) #s(literal 1/9 binary32)) #s(literal -1 binary32))) (fma.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))) #s(literal -1 binary32)))
(.f32 (fma.f32 (.f32 x x) (.f32 (.f32 x x) (fma.f32 x (.f32 x #s(literal 2/15 binary32)) #s(literal 1/9 binary32))) #s(literal -1 binary32)) (/.f32 x (fma.f32 (.f32 x x) (fma.f32 x (.f32 x (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))) #s(literal 1/3 binary32)) #s(literal -1 binary32))))
(.f32 x (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(.f32 x (fma.f32 (.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/5 binary32) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(fma.f32 (.f32 x (.f32 x x)) #s(literal 1/3 binary32) x)
(.f32 x (fma.f32 x (.f32 x #s(literal 1/3 binary32)) #s(literal 1 binary32)))
x

soundness905.0ms (10.2%)

Memory

22.9MiB live, 833.7MiB allocated

Rules

12 388×	`accelerator-lowering-fma.f32`
12 388×	`accelerator-lowering-fma.f64`
9 898×	`accelerator-lowering-fma.f32`
9 898×	`accelerator-lowering-fma.f64`
9 428×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	1435
1	481	1405
2	1291	1395
3	3554	1383
4	7501	1383
0	8174	1317
0	33	174
1	222	165
2	1915	165
0	8163	141
0	113	445
1	330	422
2	848	414
3	2301	412
4	4428	412
5	6241	412
0	8133	390
0	10	35
1	49	35
2	399	35
3	5586	35
0	8628	31
0	34	194
1	229	182
2	1652	182
0	8348	157

Stop Event

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

Compiler

Compiled 331 to 166 computations (49.8% saved)

preprocess68.0ms (0.8%)

Memory: 2.2MiB live, 197.7MiB allocated
Compiler: Compiled 306 to 126 computations (58.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	5	9
1	11	9
2	15	9
3	18	9
4	22	9
5	29	9
6	36	9
0	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	5	9
1	11	9
2	15	9
3	18	9
4	22	9
5	29	9
6	36	9
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%)

sample795.0ms (9%)

preprocess107.0ms (1.2%)

explain253.0ms (2.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify21.0ms (0.2%)

localize47.0ms (0.5%)

series5.0ms (0.1%)

rewrite464.0ms (5.3%)

simplify339.0ms (3.8%)

eval32.0ms (0.4%)

prune58.0ms (0.7%)

simplify354.0ms (4%)

localize95.0ms (1.1%)

series14.0ms (0.2%)

rewrite570.0ms (6.5%)

simplify368.0ms (4.2%)

eval191.0ms (2.2%)

prune84.0ms (1%)

simplify343.0ms (3.9%)

localize167.0ms (1.9%)

series10.0ms (0.1%)

rewrite541.0ms (6.1%)

simplify554.0ms (6.3%)

eval152.0ms (1.7%)

prune201.0ms (2.3%)

simplify289.0ms (3.3%)

localize143.0ms (1.6%)

series8.0ms (0.1%)

rewrite696.0ms (7.9%)

simplify459.0ms (5.2%)

eval132.0ms (1.5%)

prune207.0ms (2.3%)

regimes21.0ms (0.2%)

regimes27.0ms (0.3%)

regimes17.0ms (0.2%)

regimes36.0ms (0.4%)

regimes15.0ms (0.2%)

regimes12.0ms (0.1%)

regimes8.0ms (0.1%)

regimes10.0ms (0.1%)

regimes6.0ms (0.1%)

simplify10.0ms (0.1%)

soundness905.0ms (10.2%)

preprocess68.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	5	9
1	11	9
2	15	9
3	18	9
4	22	9
5	29	9
6	36	9
0	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