Metrics for Rust f64::atanh

analyze2.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 4 to 4 computations (0% saved)

sample330.0ms (6.3%)

Memory

22.7MiB live, 645.5MiB allocated

Samples

200.0ms	8 256×	0	valid
0.0ms	6×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-atanh: 60.0ms (87.9% of total)

ival-true: 5.0ms (7.3% of total)

ival-assert: 3.0ms (4.4% of total)

Bogosity

preprocess36.0ms (0.7%)

Memory

-30.8MiB live, 53.4MiB 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)))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))

Call 2

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

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

explain634.0ms (12.1%)

Memory

-30.2MiB live, 206.4MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 1 binary64)`
-	-	`(-.f64 #s(literal 1 binary64) x)`
-	-	`(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
-	-	`(*.f64 #s(literal 2 binary64) x)`
-	-	`#s(literal 2 binary64)`
-	-	`(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))`
-	-	`#s(literal 1/2 binary64)`
-	-	`x`
-	-	`(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) 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

57.0ms

512×

valid

Compiler

Compiled 96 to 40 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 6.0ms (34.7% of total)

ival-div: 4.0ms (23.1% of total)

ival-sub: 3.0ms (17.3% of total)

ival-log1p: 3.0ms (17.3% of total)

exact: 1.0ms (5.8% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify14.0ms (0.3%)

Memory

-14.0MiB live, 25.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
✓	cost-diff	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) 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)))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
1/2
#s(literal 1/2 binary64)
(log (+ 1 (/ (* 2 x) (- 1 x))))
(log.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/ (* 2 x) (- 1 x))
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) x))
(* 2 x)
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
2
#s(literal 2 binary64)
x
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)

localize27.0ms (0.5%)

Memory

13.7MiB live, 53.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	accuracy	100.0%	(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))

Samples

17.0ms

256×

valid

Compiler

Compiled 37 to 11 computations (70.3% saved)

Precisions

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

ival-mult: 3.0ms (35.2% of total)

ival-div: 2.0ms (23.5% of total)

ival-log1p: 2.0ms (23.5% of total)

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

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB 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)

rewrite346.0ms (6.6%)

Memory

27.2MiB live, 413.6MiB 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
(.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))))))
(.f64 (log1p.f64 (.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))))) #s(literal 1/2 binary64))
(log.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))))))
(+.f64 (log1p.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) (log1p.f64 (.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64)))))))
(+.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))))) #s(literal 0 binary64))
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64)))))) (log1p.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))
(+.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 1 binary64) x))))))
(+.f64 (log.f64 (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))
(+.f64 (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (fma.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))) (log.f64 (fma.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))) (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (log1p.f64 (.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64)))))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (fma.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)))) (log.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))) (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))) (log.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(+.f64 (log.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (fma.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 2 binary64))) (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))) #s(literal 1 binary64)))) (log.f64 (fma.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 2 binary64))) (-.f64 (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 (log.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 2 binary64))))))
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(.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x))

simplify345.0ms (6.6%)

Memory

-2.0MiB live, 588.6MiB 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))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(* 1/2 (log -1))
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) #s(literal 0 binary64))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(* 1/2 (log -1))
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) #s(literal 0 binary64))
(+ (* 1/2 (log -1)) (/ 1 x))
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))) (.f64 x x))) x))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 2/3 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 2/3 binary64) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/5 binary64) #s(literal 2/3 binary64)) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 2/7 binary64) #s(literal 2/5 binary64))) #s(literal 2/3 binary64))) #s(literal 2 binary64)))
(log -1)
(log.f64 #s(literal -1 binary64))
(+ (log -1) (* 2 (/ 1 x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x x)))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 (/.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 2/5 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))))))
(log -1)
(log.f64 #s(literal -1 binary64))
(+ (log -1) (* 2 (/ 1 x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2/3 binary64) (.f64 x (.f64 x x)))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -2/5 binary64) (.f64 x x))) (.f64 x x)) #s(literal -2 binary64)) x))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 2 x)))
(*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(.f64 (.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (fma.f64 x x #s(literal 1 binary64)))
-2
#s(literal -2 binary64)
(* -1 (+ 2 (* 2 (/ 1 x))))
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(+.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) x) #s(literal -2 binary64))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 0 binary64))
-2
#s(literal -2 binary64)
(* -1 (+ 2 (* 2 (/ 1 x))))
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(+.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) x) #s(literal -2 binary64))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 0 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))

eval68.0ms (1.3%)

Memory: 3.3MiB live, 80.3MiB allocated
Compiler: Compiled 7 674 to 1 286 computations (83.2% saved)

prune36.0ms (0.7%)

Memory

-14.1MiB live, 79.0MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	319	4	323
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	319	5	324

Accuracy

100.0%

Counts

324 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
▶	100.0%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
▶	99.9%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)))
✓	100.0%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
▶	99.2%	x

Compiler

Compiled 55 to 34 computations (38.2% saved)

simplify56.0ms (1.1%)

Memory

-18.0MiB live, 101.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Program
✓	cost-diff	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))
✓	cost-diff	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
✓	cost-diff	(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64))
✓	cost-diff	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
✓	cost-diff	(*.f64 x #s(literal 1/3 binary64))
✓	cost-diff	(fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))
✓	cost-diff	(.f64 x (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)))

Rules

1 752×	`accelerator-lowering-fma.f32`
1 752×	`accelerator-lowering-fma.f64`
614×	`-lowering-.f32`
614×	`-lowering-.f64`
362×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	133
1	81	133
2	227	127
3	567	127
4	898	127
5	1000	127
6	1004	127
7	1004	127
8	1013	127
0	1013	111

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
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
x
(* x (+ (* x (* x 1/3)) 1))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)))
x
(+ (* x (* x 1/3)) 1)
(fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))
(* x 1/3)
(*.f64 x #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
1
#s(literal 1 binary64)
(* x (+ (* (* x x) (+ (* (* x x) 1/5) 1/3)) 1))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
x
(+ (* (* x x) (+ (* (* x x) 1/5) 1/3)) 1)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(* x x)
(*.f64 x x)
(+ (* (* x x) 1/5) 1/3)
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
1/5
#s(literal 1/5 binary64)
1/3
#s(literal 1/3 binary64)
1
#s(literal 1 binary64)
(* x (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/7) 1/5)) 1/3)) 1))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
x
(+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/7) 1/5)) 1/3)) 1)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(* x x)
(*.f64 x x)
(+ (* (* x x) (+ (* (* x x) 1/7) 1/5)) 1/3)
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal 1/3 binary64))
(+ (* (* x x) 1/7) 1/5)
(fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))
1/7
#s(literal 1/7 binary64)
1/5
#s(literal 1/5 binary64)
1/3
#s(literal 1/3 binary64)
1
#s(literal 1 binary64)

localize79.0ms (1.5%)

Memory

18.6MiB live, 173.4MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64))
✓	accuracy	100.0%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/3 binary64))

Samples

55.0ms

256×

valid

Compiler

Compiled 119 to 24 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 18.0ms (47.5% of total)

ival-add: 10.0ms (26.4% of total)

const: 9.0ms (23.7% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

16.9MiB live, 16.9MiB allocated

Counts

11 → 132

Calls

Call 1

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

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

Calls

33 calls:

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

rewrite514.0ms (9.8%)

Memory

-0.2MiB live, 788.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 618×	`accelerator-lowering-fma.f32`
8 618×	`accelerator-lowering-fma.f64`
5 164×	`-lowering-.f32`
5 164×	`-lowering-.f64`
4 146×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	117
1	154	117
2	1297	111
0	8374	95

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 441

Calls

Call 1

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

Outputs
(+.f64 x (.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(+.f64 (.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)))) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)) (neg.f64 x))))
(fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x)
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(fma.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 x x) x)
(fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) x x)
(fma.f64 #s(literal 1 binary64) x (.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/3 binary64)) x)
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64) x)
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x))) x))) (fma.f64 (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) (neg.f64 x)) (.f64 (.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 1 binary64))) (fma.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)) (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1 binary64)) (.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 x (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal -1 binary64)) (.f64 x (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1 binary64)) (.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal -1 binary64)) x)))
(/.f64 (fma.f64 (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x))) x))))
(/.f64 (.f64 (.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 1 binary64))) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) (neg.f64 x))) (fma.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)) (neg.f64 x)))
(/.f64 (.f64 x (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1 binary64))) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1 binary64)) (.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1 binary64)) x) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1 binary64)) (.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal -1 binary64)) x) (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x))) x)))))
(/.f64 (neg.f64 (.f64 (.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 1 binary64))) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) (neg.f64 x)))) (neg.f64 (fma.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)) (neg.f64 x))))
(/.f64 (neg.f64 (.f64 x (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1 binary64)) (.f64 #s(literal -1/3 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1 binary64)) x)) (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1 binary64)) (.f64 #s(literal -1/3 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal -1 binary64)) x)) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal -1 binary64))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))) (fma.f64 x x (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)))) (.f64 x (.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))))) (-.f64 x (.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 1 binary64)) x)
(.f64 (fma.f64 (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)))))
(.f64 (.f64 (.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 1 binary64))) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) (neg.f64 x))))
(.f64 (.f64 x (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1 binary64)) (.f64 #s(literal -1/3 binary64) (.f64 x x)))))
(.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal -1 binary64))))
(.f64 (.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal 1 binary64)) (.f64 #s(literal -1/3 binary64) (.f64 x x)))))
(.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal -1 binary64))))
(+.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x)))
(+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal -1 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x)))))
(fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal 1/3 binary64)) x #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/9 binary64)) (.f64 #s(literal -1/3 binary64) (.f64 x x)))) (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1 binary64))))
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(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64)) #s(literal 1/125 binary64)) (+.f64 #s(literal 1/25 binary64) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64))) (.f64 (*.f64 x x) #s(literal 1/35 binary64)))))
(/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64)) #s(literal -1/25 binary64)) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64)) #s(literal 1/125 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64)) #s(literal 1/25 binary64)) (.f64 (.f64 x x) #s(literal 1/35 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64)) #s(literal 1/125 binary64))) (neg.f64 (+.f64 #s(literal 1/25 binary64) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64))) (.f64 (*.f64 x x) #s(literal 1/35 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64)) #s(literal -1/25 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))))
(/.f64 (+.f64 #s(literal 1/25 binary64) (.f64 #s(literal -1/49 binary64) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal -1/7 binary64) (.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64))) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64)) #s(literal 1/25 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64)) (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64))) (.f64 #s(literal 1/117649 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 1/1953125 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/117649 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 #s(literal 1/15625 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/42875 binary64)))) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64)) #s(literal 1/25 binary64)) (.f64 (.f64 x x) #s(literal 1/35 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/117649 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -1/15625 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/343 binary64) #s(literal -1/125 binary64)) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64)) #s(literal 1/25 binary64)) (.f64 (*.f64 x x) #s(literal 1/35 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/117649 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -1/15625 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/2401 binary64) (+.f64 #s(literal 1/625 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1225 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/2401 binary64) #s(literal -1/625 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64)) #s(literal 1/25 binary64)) (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64)) #s(literal 1/125 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64)) #s(literal 1/25 binary64)) (.f64 (.f64 x x) #s(literal 1/35 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64)) #s(literal -1/25 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/25 binary64) (.f64 #s(literal -1/49 binary64) (.f64 (.f64 x x) (.f64 x x))))) (neg.f64 (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal -1/7 binary64) (.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64))) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/25 binary64) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64))) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64))) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64))) (fma.f64 (/.f64 #s(literal 1/25 binary64) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64))) (/.f64 #s(literal 1/25 binary64) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64))) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64))) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64))) (/.f64 #s(literal 1/25 binary64) (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64))) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64))) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64)))) (.f64 (/.f64 #s(literal 1/25 binary64) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64))) (/.f64 #s(literal 1/25 binary64) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64))))) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64))) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64))) (/.f64 #s(literal 1/25 binary64) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64)) #s(literal 1/125 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64)) #s(literal 1/25 binary64)) (.f64 (*.f64 x x) #s(literal 1/35 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64)) #s(literal 1/125 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/25 binary64) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64))) (.f64 (.f64 x x) #s(literal 1/35 binary64))))))
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64)) #s(literal -1/25 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64)) #s(literal 1/125 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64)) #s(literal 1/25 binary64)) (.f64 (*.f64 x x) #s(literal 1/35 binary64))))))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64)) #s(literal -1/25 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64)))))
(.f64 (+.f64 #s(literal 1/25 binary64) (.f64 #s(literal -1/49 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/5 binary64) (.f64 #s(literal -1/7 binary64) (*.f64 x x)))))

simplify528.0ms (10.1%)

Memory

7.4MiB live, 715.8MiB allocated

Algorithm

1×	egg-herbie

Rules

17 030×	`accelerator-lowering-fma.f32`
17 030×	`accelerator-lowering-fma.f64`
4 768×	`-lowering-.f32`
4 768×	`-lowering-.f64`
2 894×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	1080
1	295	1050
2	782	1037
3	3130	1034
4	6553	1034
0	8101	947

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 1 binary64)))
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 1 binary64)))
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 1 binary64)))
(* 1/3 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 1 binary64)))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 1 binary64)))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 1 binary64)))
(* 1/3 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/3 binary64))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 1 binary64)))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 1 binary64)))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 (pow x 2)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* 1/3 (pow x 2)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* 1/3 (pow x 2)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(* 1/3 (pow x 2))
(.f64 x (.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(* 1/5 (pow x 5))
(.f64 x (.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1/5 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1/5 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* 1/5 (pow x 5))
(.f64 x (.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1/5 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x))) #s(literal 0 binary64))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal 1/5 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x))) #s(literal 0 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 (pow x 2)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(* 1/5 (pow x 4))
(.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(* 1/5 (pow x 4))
(.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/5 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* 1/5 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* 1/5 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
(* 1/5 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5 binary64))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
(* 1/5 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5 binary64))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(* 1/7 (pow x 7))
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))))
(* 1/7 (pow x 7))
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(fma.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/7 binary64) (/.f64 (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 x x))) #s(literal 0 binary64))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(fma.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 0 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 (pow x 2)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(* 1/7 (pow x 6))
(.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/7 binary64)))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1 binary64))
(* 1/7 (pow x 6))
(.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/7 binary64)))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/5 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
(* 1/7 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/7 binary64))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
(* 1/7 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/7 binary64))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
1/5
#s(literal 1/5 binary64)
(+ 1/5 (* 1/7 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))
(+ 1/5 (* 1/7 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))
(+ 1/5 (* 1/7 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))

eval118.0ms (2.2%)

Memory: -10.0MiB live, 244.0MiB allocated
Compiler: Compiled 22 988 to 1 798 computations (92.2% saved)

prune81.0ms (1.5%)

Memory

7.3MiB live, 164.7MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	650	3	653
Fresh	0	0	0
Picked	3	1	4
Done	1	0	1
Total	654	4	658

Accuracy

100.0%

Counts

658 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x)
▶	100.0%	(fma.f64 (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x)
▶	99.9%	(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64) x)
✓	99.2%	x

Compiler

Compiled 44 to 24 computations (45.5% saved)

simplify54.0ms (1%)

Memory

-14.1MiB live, 98.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Program
✓	cost-diff	(fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))
✓	cost-diff	(.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))
✓	cost-diff	(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))) #s(literal 1/3 binary64))
✓	cost-diff	(fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x)
✓	cost-diff	(.f64 x (.f64 x x))
✓	cost-diff	(*.f64 x #s(literal 1/5 binary64))
✓	cost-diff	(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
✓	cost-diff	(fma.f64 (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x)
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 x (.f64 x x))
✓	cost-diff	(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64) x)

Rules

1 752×	`accelerator-lowering-fma.f32`
1 752×	`accelerator-lowering-fma.f64`
614×	`-lowering-.f32`
614×	`-lowering-.f64`
358×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	105
1	52	105
2	119	105
3	284	105
4	581	105
5	902	105
6	948	105
7	1108	105
8	1108	105
9	1108	105
0	1108	94

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
(+ (* (* x (* x x)) 1/3) x)
(.f64 x (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(* x (* x x))
(.f64 x (.f64 x x))
x
(* x x)
(*.f64 x x)
1/3
#s(literal 1/3 binary64)
(+ (* (+ (* x (* x 1/5)) 1/3) (* x (* x x))) x)
(.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(+ (* x (* x 1/5)) 1/3)
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
x
(* x 1/5)
(*.f64 x #s(literal 1/5 binary64))
1/5
#s(literal 1/5 binary64)
1/3
#s(literal 1/3 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
(+ (* (+ (* x (* x (+ (* (* x x) 1/7) 1/5))) 1/3) (* x (* x x))) x)
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(+ (* x (* x (+ (* (* x x) 1/7) 1/5))) 1/3)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
x
(* x (+ (* (* x x) 1/7) 1/5))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)))
(+ (* (* x x) 1/7) 1/5)
(fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))
(* x x)
(*.f64 x x)
1/7
#s(literal 1/7 binary64)
1/5
#s(literal 1/5 binary64)
1/3
#s(literal 1/3 binary64)
(* x (* x x))
(.f64 x (.f64 x x))

localize77.0ms (1.5%)

Memory

21.1MiB live, 174.0MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))
✓	accuracy	100.0%	(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))) #s(literal 1/3 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.4%	(.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/5 binary64))
✓	accuracy	100.0%	(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(.f64 x (.f64 x x))

Samples

45.0ms

256×

valid

Compiler

Compiled 108 to 22 computations (79.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 15.0ms (45% of total)

const: 10.0ms (30% of total)

ival-add: 8.0ms (24% of total)

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

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

series16.0ms (0.3%)

Memory

-24.1MiB live, 21.9MiB allocated

Counts

10 → 120

Calls

Call 1

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

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

Calls

30 calls:

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

rewrite460.0ms (8.8%)

Memory

35.0MiB live, 852.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 914×	`accelerator-lowering-fma.f32`
7 914×	`accelerator-lowering-fma.f64`
5 278×	`-lowering-.f32`
5 278×	`-lowering-.f64`
3 858×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	84
1	122	84
2	978	84
0	8242	73

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 341

Calls

Call 1

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

Outputs
(+.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64))))
(+.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)
(+.f64 (/.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x)))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) x)))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x)))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) x))) (/.f64 (.f64 x x) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) x))))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/3 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal -1/3 binary64)))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) x)
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/3 binary64)) x)
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64) x)
(fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x)
(fma.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) x)))))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) x x)
(fma.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 x x) x)
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64))))
(neg.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (*.f64 x x))))))))
(neg.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 x x))) (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) x)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (.f64 x x)))) (fma.f64 x (+.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (*.f64 x x)))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 x x)))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (.f64 x x))) (fma.f64 x (+.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (.f64 x x))) (fma.f64 x x (fma.f64 (.f64 x x) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal -1/3 binary64))))))
(/.f64 (fma.f64 (.f64 x x) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 x x))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 (.f64 x x) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/3 binary64))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/3 binary64))) (fma.f64 x x (.f64 #s(literal -1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (*.f64 x x)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 x x (fma.f64 (.f64 x x) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal -1/3 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 x x)))) (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (fma.f64 x x (.f64 #s(literal -1/9 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal -1/3 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) x))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x)))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) x))) (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) x)) (.f64 x x))) (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) x)) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64))) #s(literal 9 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/729 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))))) (fma.f64 x (+.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x)))))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (neg.f64 (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (neg.f64 (.f64 x (.f64 x x)))) (fma.f64 x (+.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x)))))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (neg.f64 (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/81 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (fma.f64 (.f64 x x) (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x))))))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/81 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x x)) (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 x (.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (*.f64 x x))))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))) (+.f64 #s(literal 1/25 binary64) (.f64 #s(literal -1/49 binary64) (.f64 (.f64 x x) (.f64 x x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64)) #s(literal 1/125 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64)) (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 x x) #s(literal -1/35 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64)) #s(literal 1/125 binary64))) (neg.f64 (+.f64 #s(literal 1/25 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64)) (.f64 (.f64 x x) #s(literal -1/35 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64)) #s(literal -1/25 binary64))) (fma.f64 (.f64 x x) #s(literal -1/7 binary64) #s(literal 1/5 binary64)))
(/.f64 (+.f64 #s(literal 1/25 binary64) (.f64 #s(literal -1/49 binary64) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64))) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64)) #s(literal 1/25 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64)) (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64))) (.f64 #s(literal 1/117649 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) #s(literal 1/1953125 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/117649 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 #s(literal 1/15625 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/42875 binary64)))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64)) (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 x x) #s(literal -1/35 binary64))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/117649 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -1/15625 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64)) #s(literal -1/125 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64)) (+.f64 #s(literal 1/25 binary64) (.f64 (*.f64 x x) #s(literal -1/35 binary64))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/117649 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -1/15625 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/2401 binary64) (+.f64 #s(literal 1/625 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1225 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/2401 binary64) #s(literal -1/625 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64)) #s(literal 1/25 binary64)) (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64)) #s(literal 1/125 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64)) (+.f64 #s(literal 1/25 binary64) (.f64 (.f64 x x) #s(literal -1/35 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64)) #s(literal -1/25 binary64)))) (neg.f64 (fma.f64 (.f64 x x) #s(literal -1/7 binary64) #s(literal 1/5 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/25 binary64) (.f64 #s(literal -1/49 binary64) (.f64 (.f64 x x) (.f64 x x))))) (neg.f64 (-.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x #s(literal 1/7 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64))) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/25 binary64) (fma.f64 (.f64 x x) #s(literal -1/7 binary64) #s(literal 1/5 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64))) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64))) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64))) (fma.f64 (/.f64 #s(literal -1/25 binary64) (fma.f64 (.f64 x x) #s(literal -1/7 binary64) #s(literal 1/5 binary64))) (/.f64 #s(literal -1/25 binary64) (fma.f64 (.f64 x x) #s(literal -1/7 binary64) #s(literal 1/5 binary64))) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64))) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64))) (/.f64 #s(literal -1/25 binary64) (fma.f64 (*.f64 x x) #s(literal -1/7 binary64) #s(literal 1/5 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64))) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64))) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64)))) (.f64 (/.f64 #s(literal -1/25 binary64) (fma.f64 (.f64 x x) #s(literal -1/7 binary64) #s(literal 1/5 binary64))) (/.f64 #s(literal -1/25 binary64) (fma.f64 (.f64 x x) #s(literal -1/7 binary64) #s(literal 1/5 binary64))))) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64))) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64))) (/.f64 #s(literal -1/25 binary64) (fma.f64 (.f64 x x) #s(literal -1/7 binary64) #s(literal 1/5 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64)) #s(literal 1/125 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64)) (+.f64 #s(literal 1/25 binary64) (.f64 (*.f64 x x) #s(literal -1/35 binary64))))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64)) #s(literal 1/125 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/25 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64)) (.f64 (*.f64 x x) #s(literal -1/35 binary64))))))
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64)) #s(literal -1/25 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal -1/5 binary64))))
(.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/343 binary64)) #s(literal 1/125 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64)) (+.f64 #s(literal 1/25 binary64) (.f64 (*.f64 x x) #s(literal -1/35 binary64)))))))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/49 binary64)) #s(literal -1/25 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/7 binary64) #s(literal 1/5 binary64))))
(.f64 (+.f64 #s(literal 1/25 binary64) (.f64 #s(literal -1/49 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/5 binary64) (.f64 x (*.f64 x #s(literal 1/7 binary64))))))

simplify521.0ms (10%)

Memory

-10.9MiB live, 573.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 146×	`accelerator-lowering-fma.f32`
11 146×	`accelerator-lowering-fma.f64`
3 126×	`-lowering-.f32`
3 126×	`-lowering-.f64`
1 982×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	864
1	265	834
2	727	830
3	2044	828
4	5350	828
0	8208	766

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 1 binary64)))
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 1 binary64)))
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 1 binary64)))
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 1 binary64)))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 1 binary64)))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 1 binary64)))
(* 1/3 (pow x 3))
(.f64 x (.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 1 binary64)))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 1 binary64)))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 1 binary64)))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(* 1/5 (pow x 5))
(.f64 (.f64 x x) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/5 binary64)))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* 1/5 (pow x 5))
(.f64 (.f64 x x) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/5 binary64)))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/5 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x))) #s(literal 0 binary64))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/5 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x))) #s(literal 0 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/5 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* 1/5 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* 1/5 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
(* 1/5 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5 binary64))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
(* 1/5 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5 binary64))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
(* 1/5 x)
(*.f64 x #s(literal 1/5 binary64))
(* 1/5 x)
(*.f64 x #s(literal 1/5 binary64))
(* 1/5 x)
(*.f64 x #s(literal 1/5 binary64))
(* 1/5 x)
(*.f64 x #s(literal 1/5 binary64))
(* 1/5 x)
(*.f64 x #s(literal 1/5 binary64))
(* 1/5 x)
(*.f64 x #s(literal 1/5 binary64))
(* 1/5 x)
(*.f64 x #s(literal 1/5 binary64))
(* 1/5 x)
(*.f64 x #s(literal 1/5 binary64))
(* 1/5 x)
(*.f64 x #s(literal 1/5 binary64))
(* 1/5 x)
(*.f64 x #s(literal 1/5 binary64))
(* 1/5 x)
(*.f64 x #s(literal 1/5 binary64))
(* 1/5 x)
(*.f64 x #s(literal 1/5 binary64))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(* 1/7 (pow x 7))
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/7 binary64) (/.f64 (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 x x))) #s(literal 0 binary64))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/7 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))))
(* 1/7 (pow x 7))
(*.f64 #s(literal 1/7 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(fma.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/7 binary64) (/.f64 (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (.f64 x x))) #s(literal 0 binary64))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(fma.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/7 binary64) (/.f64 #s(literal 1/5 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 0 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/5 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
(* 1/7 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/7 binary64)))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
(* 1/7 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/7 binary64)))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
(* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)) #s(literal 1/3 binary64))
(* 1/5 x)
(*.f64 x #s(literal 1/5 binary64))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)))
(* 1/7 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/7 binary64))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)))
(* 1/7 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/7 binary64))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64)))
1/5
#s(literal 1/5 binary64)
(+ 1/5 (* 1/7 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))
(+ 1/5 (* 1/7 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))
(+ 1/5 (* 1/7 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))
(* 1/7 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/7 binary64))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))
(* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))

eval113.0ms (2.2%)

Memory: 11.2MiB live, 163.9MiB allocated
Compiler: Compiled 19 937 to 1 354 computations (93.2% saved)

prune60.0ms (1.1%)

Memory

0.0MiB live, 118.8MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	555	0	555
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	555	4	559

Accuracy

100.0%

Counts

559 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x)
✓	100.0%	(fma.f64 (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x)
✓	99.9%	(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64) x)
✓	99.2%	x

Compiler

Compiled 134 to 55 computations (59% saved)

regimes13.0ms (0.3%)

Memory

-5.5MiB live, 33.7MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
x
(.f64 x (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64) x)
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x)
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x)
(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))

Outputs
(fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x)

Calls

4 calls:

4.0ms	(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
3.0ms	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
3.0ms	(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
3.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
100.0%	1	`(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
100.0%	1	`(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes13.0ms (0.2%)

Memory

-16.2MiB live, 26.9MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
x
(.f64 x (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64) x)
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x)
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))

Outputs
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))

Calls

4 calls:

5.0ms	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
2.0ms	(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
2.0ms	(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
2.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
100.0%	1	`(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
100.0%	1	`(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes9.0ms (0.2%)

Memory

26.9MiB live, 26.9MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
x
(.f64 x (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64) x)
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x)

Outputs
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x)

Calls

4 calls:

2.0ms	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
2.0ms	(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
2.0ms	(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
2.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
100.0%	1	`(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
100.0%	1	`(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes10.0ms (0.2%)

Memory

-9.6MiB live, 28.0MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
x
(.f64 x (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64) x)
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64)))

Outputs
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64)))

Calls

4 calls:

3.0ms	(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
2.0ms	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
2.0ms	(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
2.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
100.0%	1	`(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
100.0%	1	`(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes32.0ms (0.6%)

Memory

-21.2MiB live, 18.5MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
x
(.f64 x (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64) x)

Outputs
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64) x)

Calls

4 calls:

26.0ms	x
2.0ms	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
2.0ms	(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
2.0ms	(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
99.9%	1	`(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
99.9%	1	`(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes7.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
x
(.f64 x (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)))

Outputs
(.f64 x (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)))

Calls

4 calls:

2.0ms	(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
2.0ms	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
2.0ms	(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
1.0ms	x

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
99.9%	1	`(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
99.9%	1	`(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes5.0ms (0.1%)

Memory

14.2MiB live, 14.2MiB 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	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
1.0ms	(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
1.0ms	(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
1.0ms	x

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
99.2%	1	`(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
99.2%	1	`(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify33.0ms (0.6%)

Memory

-24.0MiB live, 14.9MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	79
1	34	79

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x)
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x)
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64) x)
(.f64 x (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)))
x

Outputs
(fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))) #s(literal 1/3 binary64)) (.f64 x (.f64 x x)) x)
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/5 binary64)) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x)
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64) x)
(.f64 x (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)))
x

soundness540.0ms (10.3%)

Memory

8.8MiB live, 446.1MiB allocated

Rules

9 898×	`accelerator-lowering-fma.f32`
9 898×	`accelerator-lowering-fma.f64`
8 618×	`accelerator-lowering-fma.f32`
8 618×	`accelerator-lowering-fma.f64`
5 164×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	117
1	154	117
2	1297	111
0	8374	95
0	113	445
1	330	422
2	848	414
3	2301	412
4	4428	412
5	6241	412
0	8133	390

Stop Event

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

Compiler

Compiled 208 to 96 computations (53.8% saved)

preprocess45.0ms (0.9%)

Memory: 4.8MiB live, 125.1MiB allocated
Compiler: Compiled 182 to 66 computations (63.7% 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

analyze2.0ms (0%)

sample330.0ms (6.3%)

preprocess36.0ms (0.7%)

explain634.0ms (12.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify14.0ms (0.3%)

localize27.0ms (0.5%)

series5.0ms (0.1%)

rewrite346.0ms (6.6%)

simplify345.0ms (6.6%)

eval68.0ms (1.3%)

prune36.0ms (0.7%)

simplify56.0ms (1.1%)

localize79.0ms (1.5%)

series7.0ms (0.1%)

rewrite514.0ms (9.8%)

simplify528.0ms (10.1%)

eval118.0ms (2.2%)

prune81.0ms (1.5%)

simplify54.0ms (1%)

localize77.0ms (1.5%)

series16.0ms (0.3%)

rewrite460.0ms (8.8%)

simplify521.0ms (10%)

eval113.0ms (2.2%)

prune60.0ms (1.1%)

regimes13.0ms (0.3%)

regimes13.0ms (0.2%)

regimes9.0ms (0.2%)

regimes10.0ms (0.2%)

regimes32.0ms (0.6%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

simplify33.0ms (0.6%)

soundness540.0ms (10.3%)

preprocess45.0ms (0.9%)

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