Metrics for Rust f64::atanh

analyze2.0ms (0%)

Memory

2.9MiB live, 2.9MiB 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 (4.4%)

Memory

11.6MiB live, 501.3MiB allocated

Samples

197.0ms	8 256×	0	valid
0.0ms	9×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-atanh: 65.0ms (89.4% of total)

ival-true: 5.0ms (6.9% of total)

ival-assert: 3.0ms (4.1% of total)

Bogosity

preprocess22.0ms (0.3%)

Memory

-9.9MiB live, 28.1MiB 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) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))

Call 2

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

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

explain86.0ms (1.1%)

Memory

2.6MiB live, 159.5MiB 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

32.0ms

512×

valid

Compiler

Compiled 96 to 40 computations (58.3% saved)

Precisions

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

ival-mult: 7.0ms (37.5% of total)

ival-div: 4.0ms (21.4% of total)

ival-sub: 3.0ms (16.1% of total)

ival-log1p: 3.0ms (16.1% of total)

exact: 1.0ms (5.4% 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

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(.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)

simplify11.0ms (0.2%)

Memory

18.1MiB live, 18.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

localize29.0ms (0.4%)

Memory

-25.3MiB live, 51.2MiB 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 (34.4% of total)

ival-div: 2.0ms (22.9% of total)

ival-log1p: 2.0ms (22.9% of total)

ival-sub: 1.0ms (11.5% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB allocated

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite272.0ms (3.6%)

Memory

17.6MiB live, 340.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 162

Calls

Call 1

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

Outputs
(.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))))) (neg.f64 (log1p.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 (log1p.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (neg.f64 (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 (neg.f64 (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 (neg.f64 (log1p.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))))) (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)))) (log1p.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 (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))) (neg.f64 (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 (neg.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 #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)))) (log1p.f64 (.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)))))
(+.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))))))) (log1p.f64 (neg.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 (log.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))) (log.f64 (/.f64 #s(literal 1 binary64) (neg.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 #s(literal 0 binary64) (neg.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64)))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 #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))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))) #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)))))
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(.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 (.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64)))))))
(+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (fma.f64 x x x)))
(+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (fma.f64 x x x)) (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) x))
(+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x))) x))
(+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x))) x) (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (.f64 (fma.f64 x x x) (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))))
(+.f64 (.f64 (fma.f64 x x x) (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))))
(+.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (.f64 x (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 x (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(+.f64 (.f64 x (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (.f64 (fma.f64 x x x) (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(fma.f64 x (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(fma.f64 (fma.f64 x x x) (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (.f64 x (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x x x)))
(fma.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (fma.f64 x x x) (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) x))
(fma.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(fma.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x))) x (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x))
(/.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x #s(literal -2 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -2 binary64))))
(/.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x x) (.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x x) (fma.f64 x x x)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x))) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(.f64 #s(literal 2 binary64) (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 x (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x)))
(.f64 x (.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x))))
(.f64 x (.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(.f64 x (.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(.f64 (.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(.f64 (.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(.f64 (.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 2 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(.f64 (neg.f64 x) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))))
(*.f64 #s(literal -2 binary64) (/.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) x)))
(.f64 #s(literal -2 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 #s(literal 2 binary64) (fma.f64 x x x)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 x (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(.f64 (/.f64 x (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal 2 binary64)))
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x)) x)
(.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (.f64 x #s(literal -2 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(.f64 (/.f64 (.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 x #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64)))
(neg.f64 (*.f64 x #s(literal -2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(*.f64 (neg.f64 x) #s(literal -2 binary64))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (neg.f64 x))

simplify585.0ms (7.8%)

Memory

-8.7MiB live, 545.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval28.0ms (0.4%)

Memory: -0.1MiB live, 75.4MiB allocated
Compiler: Compiled 5 005 to 804 computations (83.9% saved)

prune33.0ms (0.4%)

Memory

3.8MiB live, 78.7MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	205	5	210
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	205	6	211

Accuracy

100.0%

Counts

211 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (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)) (.f64 x (.f64 x x)) x)
▶	99.6%	(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x)
▶	99.4%	(fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x)
▶	100.0%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
✓	99.9%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
▶	98.9%	x

Compiler

Compiled 131 to 77 computations (41.2% saved)

simplify502.0ms (6.7%)

Memory

29.3MiB live, 423.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(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))
✓	cost-diff	0	(fma.f64 (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)) (.f64 x (.f64 x x)) x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64))
✓	cost-diff	0	(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x)
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (fma.f64 x x x))
✓	cost-diff	0	(log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) (.f64 x x))))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
✓	cost-diff	704	(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) (.f64 x x)))

Rules

12 160×	`accelerator-lowering-fma.f32`
12 160×	`accelerator-lowering-fma.f64`
2 764×	`-lowering-.f32`
2 764×	`-lowering-.f64`
1 474×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	168
1	82	168
2	176	168
3	382	168
4	768	168
5	1122	168
6	1729	150
7	4289	150
8	6592	150
0	8024	134

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize103.0ms (1.4%)

Memory

-31.8MiB live, 221.8MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(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))
✓	accuracy	100.0%	(fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/7 binary64))
✓	accuracy	100.0%	(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x)
✓	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	99.9%	(.f64 x (.f64 x x))
✓	accuracy	100.0%	(fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) (fma.f64 x x x))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
✓	accuracy	100.0%	(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) (.f64 x x)))
✓	accuracy	100.0%	(log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) (.f64 x x))))

Samples

63.0ms

256×

valid

Compiler

Compiled 163 to 30 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 23.0ms (47.4% of total)

const: 12.0ms (24.7% of total)

ival-add: 8.0ms (16.5% of total)

ival-div: 2.0ms (4.1% of total)

ival-log1p: 2.0ms (4.1% of total)

ival-sub: 1.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory

23.8MiB live, 23.8MiB allocated

Counts

13 → 156

Calls

Call 1

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

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

Calls

39 calls:

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

rewrite400.0ms (5.3%)

Memory

-22.5MiB live, 663.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 362×	`accelerator-lowering-fma.f32`
6 362×	`accelerator-lowering-fma.f64`
4 488×	`/-lowering-/.f32`
4 488×	`/-lowering-/.f64`
4 412×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	129
1	188	129
2	1575	129
0	8396	111

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 364

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 #s(literal 2 binary64) (fma.f64 x x x)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 #s(literal -2 binary64) (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(neg.f64 (.f64 #s(literal -2 binary64) (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(neg.f64 (/.f64 (.f64 (fma.f64 x x x) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 2 binary64) (fma.f64 x x x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 2 binary64) (fma.f64 x x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 x x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) #s(literal -2 binary64)))))
(/.f64 (.f64 (fma.f64 x x x) #s(literal -2 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 2 binary64) (fma.f64 x x x)))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 x x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x x) #s(literal -2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (.f64 (fma.f64 x x x) #s(literal -2 binary64))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x x)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 x x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x x) #s(literal -2 binary64)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 x x x) #s(literal -2 binary64)))) (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 2 binary64) (fma.f64 x x x))) #s(literal -1 binary64))
(.f64 #s(literal 2 binary64) (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (.f64 x x))))
(.f64 (fma.f64 x x x) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))))
(.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))
(.f64 (.f64 (fma.f64 x x x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 #s(literal 2 binary64) (fma.f64 x x x)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 x x x))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 2 binary64))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 (fma.f64 x x x) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 #s(literal 2 binary64) (fma.f64 x x x))))))
(.f64 (.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))))
(.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(.f64 (neg.f64 (.f64 (fma.f64 x x x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) (.f64 x x))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))) (fma.f64 x x #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 (.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (/.f64 (fma.f64 x x x) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))))
(.f64 (/.f64 (neg.f64 (fma.f64 x x x)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))))
(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(.f64 (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1/2 binary64))
(log.f64 (fma.f64 (fma.f64 x x x) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(+.f64 (log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x x)) (.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x x)) (.f64 #s(literal 2 binary64) (fma.f64 x x x)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x)))))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (neg.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x x)) (.f64 #s(literal 2 binary64) (fma.f64 x x x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x)))))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (.f64 x x))))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x x) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x x)) (.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x x)) (.f64 #s(literal 2 binary64) (fma.f64 x x x)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x)))))) (log1p.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x x)) (.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x x)) (.f64 #s(literal 2 binary64) (fma.f64 x x x)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x)))))) (log.f64 (fma.f64 #s(literal 4 binary64) (.f64 (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))))))
(-.f64 (log1p.f64 (neg.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x x)) (.f64 #s(literal 2 binary64) (fma.f64 x x x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x)))))) (log1p.f64 (/.f64 (.f64 (fma.f64 x x x) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x x)) (.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x x)) (.f64 #s(literal 2 binary64) (fma.f64 x x x)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x)))))))) (log.f64 (neg.f64 (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x x)) (.f64 #s(literal 2 binary64) (fma.f64 x x x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x))))))) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (.f64 x x))))))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))))) (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 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (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 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))))) (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))) (/.f64 (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))))) (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))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (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))) (/.f64 #s(literal 1/9 binary64) (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))) (.f64 (/.f64 (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))))) (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))) (/.f64 #s(literal 1/9 binary64) (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.f64 (/.f64 #s(literal 1 binary64) (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))
(.f64 #s(literal 1 binary64) (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)))
(.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))) (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))))) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64))))))
(.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))) (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))))) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))))) (.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)))))))
(.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (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))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))) (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))))) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) #s(literal 1/3 binary64)))))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (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)))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))))))
(+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/7 binary64)) #s(literal 1/5 binary64))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/49 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 #s(literal 1/25 binary64) (-.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/49 binary64)) (-.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))
(fma.f64 x (*.f64 x #s(literal 1/7 binary64)) #s(literal 1/5 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64))
(fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64))
(fma.f64 (*.f64 x #s(literal 1/7 binary64)) x #s(literal 1/5 binary64))
(/.f64 #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 #s(literal 1 binary64) (/.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) (/.f64 (+.f64 #s(literal 1/25 binary64) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/49 binary64)) (.f64 (.f64 x x) #s(literal 1/35 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 (-.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))) (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/49 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 (fma.f64 (.f64 x (.f64 x (.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 1/25 binary64) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/49 binary64)) (.f64 (*.f64 x x) #s(literal 1/35 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x (.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 #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 (neg.f64 (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 (fma.f64 (.f64 x (.f64 x (.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 (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 (.f64 x (.f64 x x))) #s(literal 1/49 binary64)) (.f64 (*.f64 x x) #s(literal 1/35 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.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 (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/49 binary64))) (-.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/49 binary64)) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal -1/5 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal -1/5 binary64)) #s(literal 1/25 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal -1/5 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal -1/5 binary64))))
(/.f64 (neg.f64 (neg.f64 (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 (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.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 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/49 binary64) #s(literal -1/25 binary64)))) (neg.f64 (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 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/49 binary64)))) (neg.f64 (-.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/49 binary64)) (fma.f64 (.f64 x 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 (.f64 x (.f64 x x))) #s(literal 1/49 binary64)) (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal -1/5 binary64))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/49 binary64)) (fma.f64 (.f64 x 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 (.f64 x (.f64 x x))) #s(literal 1/49 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)))))))
(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 (.f64 x (.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 (.f64 x (.f64 x x))) #s(literal 1/49 binary64)) (.f64 (.f64 x x) #s(literal 1/35 binary64))))))
(.f64 (fma.f64 (.f64 x (.f64 x (.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 (neg.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) (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.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 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/49 binary64) #s(literal -1/25 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal -1/5 binary64)))))
(.f64 (-.f64 #s(literal 1/25 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/49 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))
(*.f64 x #s(literal 1/7 binary64))
(*.f64 #s(literal 1/7 binary64) x)

simplify426.0ms (5.7%)

Memory

14.2MiB live, 613.2MiB allocated

Algorithm

1×	egg-herbie

Rules

15 206×	`accelerator-lowering-fma.f32`
15 206×	`accelerator-lowering-fma.f64`
3 874×	`-lowering-.f32`
3 874×	`-lowering-.f64`
3 042×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	158	1232
1	489	1188
2	1296	1175
3	3649	1170
4	7368	1170
0	8049	1090

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

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

eval86.0ms (1.1%)

Memory: 9.6MiB live, 236.9MiB allocated
Compiler: Compiled 18 642 to 1 562 computations (91.6% saved)

prune59.0ms (0.8%)

Memory

-2.5MiB live, 152.1MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	672	1	673
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	672	7	679

Accuracy

100.0%

Counts

679 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (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)) (.f64 x (.f64 x x)) x)
✓	99.6%	(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x)
✓	99.4%	(fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x)
✓	100.0%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
✓	99.9%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
▶	8.6%	(.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (fma.f64 x x x) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))))
✓	98.9%	x

Compiler

Compiled 88 to 54 computations (38.6% saved)

simplify455.0ms (6%)

Memory

-4.9MiB live, 395.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (fma.f64 x x x) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))))
✓	cost-diff	64	(log.f64 (fma.f64 (fma.f64 x x x) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)))
✓	cost-diff	128	(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	cost-diff	576	(fma.f64 (fma.f64 x x x) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))

Rules

11 578×	`accelerator-lowering-fma.f32`
11 578×	`accelerator-lowering-fma.f64`
2 712×	`-lowering-.f32`
2 712×	`-lowering-.f64`
1 760×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	73
1	27	73
2	51	73
3	121	73
4	175	73
5	271	73
6	788	55
7	3947	55
8	6214	55
0	8428	48

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(* 1/2 (log (+ (* (+ (* x x) x) (/ 2 (- 1 (* x x)))) 1)))
(.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))))
1/2
#s(literal 1/2 binary64)
(log (+ (* (+ (* x x) x) (/ 2 (- 1 (* x x)))) 1))
(log1p.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))))
(+ (* (+ (* x x) x) (/ 2 (- 1 (* x x)))) 1)
(fma.f64 x (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(+ (* x x) x)
(fma.f64 x x x)
x
(/ 2 (- 1 (* x x)))
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
2
#s(literal 2 binary64)
(- 1 (* x x))
(fma.f64 x (neg.f64 x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* x x)
(*.f64 x x)

localize104.0ms (1.4%)

Memory

27.2MiB live, 220.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (fma.f64 x x x) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64))))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	accuracy	8.6%	(log.f64 (fma.f64 (fma.f64 x x x) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)))

Samples

43.0ms	97×	2	valid
35.0ms	148×	1	valid
1.0ms	11×	0	valid

Compiler

Compiled 68 to 14 computations (79.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-log: 31.0ms (48.4% of total)

ival-mult: 10.0ms (15.6% of total)

adjust: 9.0ms (14.1% of total)

ival-add: 6.0ms (9.4% of total)

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

ival-sub: 3.0ms (4.7% of total)

exact: 1.0ms (1.6% of total)

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

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

series3.0ms (0%)

Memory

-34.0MiB live, 4.3MiB allocated

Counts

5 → 60

Calls

Call 1

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

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

Calls

15 calls:

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

rewrite386.0ms (5.1%)

Memory

29.9MiB live, 626.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 576×	`accelerator-lowering-fma.f32`
7 576×	`accelerator-lowering-fma.f64`
4 466×	`-lowering-.f32`
4 466×	`-lowering-.f64`
3 304×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	59
1	68	59
2	558	47
3	7455	47
0	8584	42

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 280

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(+.f64 (/.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 (fma.f64 x x x) (fma.f64 x x x))) (.f64 (fma.f64 (fma.f64 x x x) (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x))))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x x) (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)))))
(+.f64 (/.f64 (.f64 x x) (.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64))) (fma.f64 x (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (/.f64 (.f64 #s(literal -2 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (.f64 x x) (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x x #s(literal -1 binary64))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) x) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (.f64 x x) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 (fma.f64 x x x) (fma.f64 x x x))) (.f64 (fma.f64 (fma.f64 x x x) (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x x) (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x x) (.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 (fma.f64 x x x) (fma.f64 x x x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64))))))
(fma.f64 x (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (*.f64 x x) (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 x (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 x (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x x x) (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x x) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 2 binary64)))) (fma.f64 (fma.f64 x x x) (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x x) (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)))))
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) x) (fma.f64 (.f64 x x) (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 x x)) (fma.f64 x (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (.f64 x x)) x)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (*.f64 x x) x))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64))) (fma.f64 x (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (.f64 x x) (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) x (fma.f64 (*.f64 x x) (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x x) (fma.f64 x (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)))
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(*.f64 x x)
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(*.f64 (neg.f64 (neg.f64 x)) x)

simplify373.0ms (5%)

Memory

-14.1MiB live, 601.2MiB allocated

Algorithm

1×	egg-herbie

Rules

11 762×	`accelerator-lowering-fma.f32`
11 762×	`accelerator-lowering-fma.f64`
4 008×	`-lowering-.f32`
4 008×	`-lowering-.f64`
2 082×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	554
1	367	540
2	983	524
3	2676	512
4	5716	512
0	8074	483

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

eval58.0ms (0.8%)

Memory: 6.1MiB live, 125.4MiB allocated
Compiler: Compiled 12 346 to 1 401 computations (88.7% saved)

prune40.0ms (0.5%)

Memory

-4.3MiB live, 104.7MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	338	2	340
Fresh	0	0	0
Picked	1	0	1
Done	1	5	6
Total	340	7	347

Accuracy

100.0%

Counts

347 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (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)) (.f64 x (.f64 x x)) x)
✓	99.6%	(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x)
✓	99.4%	(fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x)
▶	100.0%	(.f64 (log1p.f64 (/.f64 (fma.f64 x x x) (.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64))
✓	99.9%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
▶	8.6%	(*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (fma.f64 x x x) (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))))
✓	98.9%	x

Compiler

Compiled 86 to 53 computations (38.4% saved)

simplify390.0ms (5.2%)

Memory

-19.0MiB live, 666.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x x x)
✓	cost-diff	0	(log1p.f64 (/.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64))))
✓	cost-diff	0	(.f64 (log1p.f64 (/.f64 (fma.f64 x x x) (.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64))
✓	cost-diff	704	(/.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
✓	cost-diff	0	(fma.f64 x x x)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (fma.f64 x x x) (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))))
✓	cost-diff	192	(log.f64 (fma.f64 (fma.f64 x x x) (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)))
✓	cost-diff	576	(fma.f64 (fma.f64 x x x) (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))

Rules

16 786×	`accelerator-lowering-fma.f32`
16 786×	`accelerator-lowering-fma.f64`
2 854×	`+-lowering-+.f64`
2 854×	`+-lowering-+.f32`
2 476×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	139
1	37	139
2	91	115
3	275	103
4	610	103
5	1804	103
6	5542	103
7	7903	103
0	8359	83

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(* 1/2 (log (+ (* (+ (* x x) x) (/ -2 (+ (* x x) -1))) 1)))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
1/2
#s(literal 1/2 binary64)
(log (+ (* (+ (* x x) x) (/ -2 (+ (* x x) -1))) 1))
(log1p.f64 (/.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(+ (* (+ (* x x) x) (/ -2 (+ (* x x) -1))) 1)
(fma.f64 x (/.f64 #s(literal -2 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(+ (* x x) x)
(fma.f64 x x x)
x
(/ -2 (+ (* x x) -1))
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
-2
#s(literal -2 binary64)
(+ (* x x) -1)
(fma.f64 x x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
1
#s(literal 1 binary64)
(* (log (+ 1 (/ (+ (* x x) x) (* (+ (* x x) -1) -1/2)))) 1/2)
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(log (+ 1 (/ (+ (* x x) x) (* (+ (* x x) -1) -1/2))))
(log1p.f64 (/.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/ (+ (* x x) x) (* (+ (* x x) -1) -1/2))
(/.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(+ (* x x) x)
(fma.f64 x x x)
x
(* (+ (* x x) -1) -1/2)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(+ (* x x) -1)
(fma.f64 x x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
-1/2
#s(literal -1/2 binary64)
1/2
#s(literal 1/2 binary64)

localize176.0ms (2.3%)

Memory

9.6MiB live, 239.7MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(.f64 (log1p.f64 (/.f64 (fma.f64 x x x) (.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(/.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(log1p.f64 (/.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64))))
✓	accuracy	100.0%	(fma.f64 x x #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (fma.f64 x x x) (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))))
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
✓	accuracy	8.6%	(log.f64 (fma.f64 (fma.f64 x x x) (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)))

Samples

83.0ms	148×	1	valid
57.0ms	97×	2	valid
2.0ms	11×	0	valid

Compiler

Compiled 116 to 20 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 120.0ms

ival-mult: 53.0ms (44.1% of total)

ival-log: 29.0ms (24.1% of total)

ival-div: 12.0ms (10% of total)

ival-add: 12.0ms (10% of total)

adjust: 9.0ms (7.5% of total)

ival-log1p: 5.0ms (4.2% of total)

exact: 1.0ms (0.8% of total)

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

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

series4.0ms (0%)

Memory

8.4MiB live, 8.4MiB allocated

Counts

10 → 120

Calls

Call 1

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

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

Calls

30 calls:

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

rewrite689.0ms (9.2%)

Memory

27.0MiB live, 698.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

15 164×	`accelerator-lowering-fma.f32`
15 164×	`accelerator-lowering-fma.f64`
6 026×	`-lowering-.f32`
6 026×	`-lowering-.f64`
3 698×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	120
1	97	120
2	930	84
0	8892	71

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 827

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64)))))
(+.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64)))))) (neg.f64 (/.f64 (.f64 (.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))))))))
(+.f64 (/.f64 (.f64 (.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (neg.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 (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) x) (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 x x) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 x x)) (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) x #s(literal 1 binary64)))
(+.f64 (.f64 x (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x (.f64 x (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 x (.f64 x (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))))) (fma.f64 x (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) x)) (.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x x)))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 x x))) (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) x))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))))) (.f64 x (*.f64 x (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))))) (*.f64 x (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64)))))) (/.f64 (.f64 (.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(fma.f64 x (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x x x) (/.f64 #s(literal -2 binary64) (fma.f64 x 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))
(fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x x)) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x) (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 x x)) (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) x #s(literal 1 binary64)))
(fma.f64 #s(literal -2 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) x (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x x) (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) x #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64)))))) (neg.f64 (/.f64 (.f64 (.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))))))))
(fma.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) x) (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 x x)) (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) x #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64)))) (/.f64 (-.f64 (.f64 x x) x) (-.f64 (*.f64 x x) x)) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (neg.f64 (/.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) x) (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x x)) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 x x)) (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) x #s(literal 1 binary64)))
(fma.f64 (neg.f64 (fma.f64 x x x)) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fma.f64 x x x)) (*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))))
(fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (.f64 x x)) x)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 x (fma.f64 x (.f64 x x) (-.f64 x (*.f64 x x)))))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (.f64 x x)) x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 x (.f64 x x) (-.f64 x (.f64 x x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x (.f64 x x)) x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x x) (-.f64 x (.f64 x x))))) (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (fma.f64 x x x) #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 x x x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -2 binary64) x) (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 #s(literal -2 binary64) (.f64 x x)) (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) x #s(literal 1 binary64)))
(fma.f64 (.f64 x (-.f64 (.f64 x (.f64 x x)) x)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 x x) x)))) #s(literal 1 binary64))
(fma.f64 (.f64 x (-.f64 (.f64 x (.f64 x x)) x)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x x) x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
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(+.f64 (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/2 binary64)) x) (.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -2 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64))))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/2 binary64)) x (*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1/2 binary64))
(neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) (-.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 x (neg.f64 x)))) (fma.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) #s(literal -2 binary64) #s(literal -2 binary64)) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 x (neg.f64 x))) (.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 x (neg.f64 x))) (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (-.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 x (neg.f64 x)))))
(/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64))) (neg.f64 (.f64 #s(literal -2 binary64) (-.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 x (neg.f64 x))))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64))))
(/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64))) (-.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 x (neg.f64 x))))
(/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (-.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 x (neg.f64 x))))
(/.f64 (.f64 (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64)))) (neg.f64 (-.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 x (neg.f64 x)))))
(/.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (fma.f64 x (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (neg.f64 (-.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 x (neg.f64 x)))))
(/.f64 (neg.f64 (.f64 (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (fma.f64 x (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 #s(literal -1/2 binary64) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) #s(literal -1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 #s(literal -1/2 binary64) (.f64 x x))) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1/4 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x)))
(*.f64 #s(literal -1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (-.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (*.f64 x (neg.f64 x))))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (*.f64 x (neg.f64 x)))) #s(literal -1/2 binary64)))
(.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64))))
(.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (+.f64 x #s(literal -1 binary64)))
(.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (*.f64 x (neg.f64 x)))))
(.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (*.f64 x (neg.f64 x)))))
(.f64 (.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(.f64 (.f64 #s(literal -1/2 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))

simplify421.0ms (5.6%)

Memory

-21.0MiB live, 707.0MiB allocated

Algorithm

1×	egg-herbie

Rules

13 262×	`accelerator-lowering-fma.f32`
13 262×	`accelerator-lowering-fma.f64`
3 746×	`-lowering-.f32`
3 746×	`-lowering-.f64`
2 422×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	1064
1	427	1036
2	1116	1012
3	3176	998
4	6668	998
0	8139	920

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

eval222.0ms (3%)

Memory: 18.7MiB live, 487.8MiB allocated
Compiler: Compiled 30 921 to 4 329 computations (86% saved)

prune129.0ms (1.7%)

Memory

-23.6MiB live, 391.6MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	1 167	1	1 168
Fresh	0	0	0
Picked	1	1	2
Done	0	5	5
Total	1 168	7	1 175

Accuracy

100.0%

Counts

1 175 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (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)) (.f64 x (.f64 x x)) x)
✓	99.6%	(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x)
✓	99.4%	(fma.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x x)) x)
✓	100.0%	(.f64 (log1p.f64 (/.f64 (fma.f64 x x x) (.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64))
	8.6%	(*.f64 (log.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) #s(literal 1/2 binary64))
✓	99.9%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
✓	98.9%	x

Compiler

Compiled 204 to 100 computations (51% saved)

regimes16.0ms (0.2%)

Memory

4.4MiB live, 44.9MiB allocated

Counts

10 → 1

Calls

Call 1

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

Outputs
(.f64 (log1p.f64 (/.f64 (fma.f64 x x x) (.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64))

Calls

4 calls:

3.0ms	(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)

regimes127.0ms (1.7%)

Memory

-17.9MiB live, 21.6MiB allocated

Counts

6 → 1

Calls

Call 1

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

Outputs
(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))

Calls

4 calls:

119.0ms	x
3.0ms	(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	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.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)

regimes8.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated

Counts

4 → 1

Calls

Call 1

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

Outputs
(fma.f64 (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)) (.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	(/.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
99.8%	1	`x`
99.8%	1	`(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
99.8%	1	`(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
99.8%	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

14.4MiB live, 14.4MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
99.6%	1	`(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
99.6%	1	`(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes28.0ms (0.4%)

Memory

-27.7MiB live, 10.4MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

23.0ms	x
2.0ms	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
1.0ms	(/.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)))

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
99.4%	1	`(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
99.4%	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

10.5MiB live, 10.5MiB 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
98.9%	1	`x`
98.9%	1	`(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
98.9%	1	`(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
98.9%	1	`(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify8.0ms (0.1%)

Memory

20.2MiB live, 20.2MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	64
1	40	64
2	43	64
3	45	64
4	46	64

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness785.0ms (10.4%)

Memory

-9.5MiB live, 497.4MiB allocated

Rules

12 938×	`accelerator-lowering-fma.f32`
12 938×	`accelerator-lowering-fma.f64`
7 576×	`accelerator-lowering-fma.f32`
7 576×	`accelerator-lowering-fma.f64`
6 362×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	404
1	312	390
2	798	382
3	2146	380
4	4029	380
5	6487	380
0	8272	358
0	29	129
1	188	129
2	1575	129
0	8396	111
0	10	32
1	49	32
2	399	32
3	5586	32
0	8628	28
0	12	59
1	68	59
2	558	47
3	7455	47
0	8584	42

Stop Event

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

Compiler

Compiled 125 to 66 computations (47.2% saved)

preprocess98.0ms (1.3%)

Memory: 5.6MiB live, 125.8MiB allocated
Compiler: Compiled 152 to 76 computations (50% 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 (4.4%)

preprocess22.0ms (0.3%)

explain86.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify11.0ms (0.2%)

localize29.0ms (0.4%)

series4.0ms (0.1%)

rewrite272.0ms (3.6%)

simplify585.0ms (7.8%)

eval28.0ms (0.4%)

prune33.0ms (0.4%)

simplify502.0ms (6.7%)

localize103.0ms (1.4%)

series9.0ms (0.1%)

rewrite400.0ms (5.3%)

simplify426.0ms (5.7%)

eval86.0ms (1.1%)

prune59.0ms (0.8%)

simplify455.0ms (6%)

localize104.0ms (1.4%)

series3.0ms (0%)

rewrite386.0ms (5.1%)

simplify373.0ms (5%)

eval58.0ms (0.8%)

prune40.0ms (0.5%)

simplify390.0ms (5.2%)

localize176.0ms (2.3%)

series4.0ms (0%)

rewrite689.0ms (9.2%)

simplify421.0ms (5.6%)

eval222.0ms (3%)

prune129.0ms (1.7%)

regimes16.0ms (0.2%)

regimes127.0ms (1.7%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes28.0ms (0.4%)

regimes5.0ms (0.1%)

simplify8.0ms (0.1%)

soundness785.0ms (10.4%)

preprocess98.0ms (1.3%)

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