Metrics for expq2 (section 3.11)

analyze1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	75.2%	24.8%	0%	0%	0%	0
0%	0%	75.2%	24.8%	0%	0%	0%	1
50%	37.6%	37.6%	24.8%	0%	0%	0%	2
75%	56.4%	18.8%	24.8%	0%	0%	0%	3
87.5%	65.8%	9.4%	24.8%	0%	0%	0%	4
93.8%	70.5%	4.7%	24.8%	0%	0%	0%	5
96.9%	72.8%	2.3%	24.8%	0%	0%	0%	6
98.4%	74%	1.2%	24.8%	0%	0%	0%	7
99.2%	74.6%	0.6%	24.8%	0%	0%	0%	8
99.6%	74.9%	0.3%	24.8%	0%	0%	0%	9
99.8%	75%	0.1%	24.8%	0%	0%	0%	10
99.9%	75.1%	0.1%	24.8%	0%	0%	0%	11
100%	75.1%	0%	24.8%	0%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample531.0ms (6.3%)

Memory

43.3MiB live, 550.1MiB allocated

Samples

356.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 204.0ms

ival-div: 63.0ms (30.9% of total)

ival-exp: 62.0ms (30.4% of total)

ival-expm1: 49.0ms (24% of total)

ival->: 20.0ms (9.8% of total)

exact: 7.0ms (3.4% of total)

ival-assert: 3.0ms (1.5% of total)

Bogosity

preprocess83.0ms (1%)

Memory

-20.4MiB live, 22.1MiB allocated

Algorithm

2×	egg-herbie

Rules

1 938×	`div-sub`
768×	`sub-neg`
640×	`cube-prod`
488×	`exp-diff`
452×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	25	26
2	46	25
3	82	25
4	135	19
5	245	19
6	368	19
7	722	19
8	1507	19
9	2615	19
10	3399	19
11	4082	19
12	4886	19
13	6419	19
0	5	7
1	10	7
2	11	7
0	11	5

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

Inputs
(/ (exp x) (- (exp x) 1))

Outputs
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))

Call 2

Inputs
(/ (exp x) (- (exp x) 1))
(/ (exp (neg x)) (- (exp (neg x)) 1))
(neg (/ (exp (neg x)) (- (exp (neg x)) 1)))

Outputs
(/ (exp x) (- (exp x) 1))
(/ (exp x) (+ (exp x) -1))
(/ (exp (neg x)) (- (exp (neg x)) 1))
(/ 1 (- 1 (exp x)))
(neg (/ (exp (neg x)) (- (exp (neg x)) 1)))
(/ 1 (+ (exp x) -1))

explain69.0ms (0.8%)

Memory

-7.5MiB live, 108.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
179	-	-	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
0	-	-	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(exp.f64 x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`	cancellation	179	0

Confusion

	Predicted +	Predicted -
+	179	0
-	0	77

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	179	0	0
-	0	0	77

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	77
1	179

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

23.0ms

512×

valid

Compiler

Compiled 50 to 24 computations (52% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-exp: 5.0ms (39.4% of total)

ival-div: 4.0ms (31.5% of total)

ival-expm1: 3.0ms (23.6% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	35.0%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify3.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
✓	cost-diff	192	(-.f64 (exp.f64 x) #s(literal 1 binary64))

Rules

4×	`+-lowering-+.f64`
4×	`+-lowering-+.f32`
2×	`accelerator-lowering-expm1.f32`
2×	`exp-lowering-exp.f32`
2×	`accelerator-lowering-expm1.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
1	10	15
2	11	15
0	11	11

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (exp x) (- (exp x) 1))
(exp x)
x
(- (exp x) 1)
1

Outputs
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp x)
(exp.f64 x)
x
(- (exp x) 1)
(expm1.f64 x)
1
#s(literal 1 binary64)

localize17.0ms (0.2%)

Memory

26.2MiB live, 26.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
✓	accuracy	36.7%	(-.f64 (exp.f64 x) #s(literal 1 binary64))

Samples

11.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (35.5% of total)

ival-exp: 2.0ms (35.5% of total)

ival-expm1: 1.0ms (17.7% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs
#<alt (- (exp x) 1)>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (exp x)>

Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt (/ (exp x) (- (exp x) 1))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/ (exp x) (- (exp x) 1))
0.0ms	x	@	-inf	(/ (exp x) (- (exp x) 1))
0.0ms	x	@	0	(- (exp x) 1)
0.0ms	x	@	0	(/ (exp x) (- (exp x) 1))
0.0ms	x	@	-inf	(- (exp x) 1)

rewrite358.0ms (4.3%)

Memory

-33.4MiB live, 440.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 384×	`/-lowering-/.f32`
5 384×	`/-lowering-/.f64`
3 398×	`accelerator-lowering-fma.f32`
3 398×	`accelerator-lowering-fma.f64`
3 144×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	30	13
2	185	13
3	1803	13
0	8778	9

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 351

Calls

Call 1

Inputs
(- (exp x) 1)
(/ (exp x) (- (exp x) 1))
(exp x)

Outputs
(+.f64 (exp.f64 x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 x))
(+.f64 (/.f64 (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(+.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (expm1.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (expm1.f64 x)) #s(literal -1 binary64))))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(-.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(-.f64 (/.f64 (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 9 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 9 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(-.f64 (/.f64 (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 0 binary64) (exp.f64 x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 0 binary64) (exp.f64 x))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 9 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 0 binary64) (exp.f64 x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 0 binary64) (exp.f64 x))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 0 binary64) (exp.f64 x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 0 binary64) (exp.f64 x))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x)))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x)))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1 binary64)))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))) (/.f64 (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1 binary64)))) (/.f64 (expm1.f64 (+.f64 x x)) (.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1 binary64)))))
(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 9 binary64))) (.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))))))
(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))))))
(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (+.f64 (exp.f64 (.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal -1 binary64) (exp.f64 x))))
(-.f64 (/.f64 (/.f64 (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)))
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(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))) (exp.f64 (+.f64 x x))) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (-.f64 (.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))) (exp.f64 (+.f64 x x))) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))) (exp.f64 (+.f64 x x)))) (.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))) (exp.f64 (+.f64 x x)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))) (exp.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (-.f64 (.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))) (exp.f64 x)) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))) (exp.f64 x))) (.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))) (exp.f64 x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (exp.f64 x)) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (exp.f64 x)) (-.f64 (.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 1 binary64)) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 1 binary64))) (.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (exp.f64 x)) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (exp.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 1 binary64)) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (exp.f64 x)) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (exp.f64 x))) (.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 1 binary64)) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (exp.f64 x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) #s(literal 3 binary64))) (fma.f64 (.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (-.f64 (.f64 (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))))) (.f64 (.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) #s(literal 3 binary64))) (fma.f64 (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (-.f64 (.f64 (.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))))) (.f64 (.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) #s(literal 3 binary64))) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (-.f64 (.f64 (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))))) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 3 binary64))) (fma.f64 (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))) (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))) (-.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))) (.f64 (.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (expm1.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (expm1.f64 x)) (/.f64 #s(literal 0 binary64) (expm1.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))) (*.f64 (/.f64 #s(literal 0 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x)))))))
(pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (-.f64 (log.f64 (expm1.f64 x)) x)) #s(literal -1 binary64))
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))))
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(*.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))))
(*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (pow.f64 (/.f64 (expm1.f64 x) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (pow.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))) (/.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (exp.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (/.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (exp.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (exp.f64 x) (-.f64 #s(literal 0 binary64) (expm1.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (expm1.f64 (+.f64 x x))) (+.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (expm1.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(exp.f64 x)
(exp.f64 (*.f64 x #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))))) (+.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))))))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal 1 binary64)))

simplify364.0ms (4.3%)

Memory

23.1MiB live, 425.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 384×	`accelerator-lowering-fma.f32`
10 384×	`accelerator-lowering-fma.f64`
4 444×	`-lowering-.f32`
4 444×	`-lowering-.f64`
1 914×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	202
1	122	202
2	258	202
3	571	202
4	827	202
5	976	202
6	1003	202
7	1097	196
8	1514	196
9	1932	196
10	3331	196
11	4894	196
12	5180	196
13	5566	196
14	6116	196
15	6842	196
0	10190	150

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
(/ (exp x) (- (exp x) 1))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)

Outputs
x
(* x (+ 1 (* 1/2 x)))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)

eval48.0ms (0.6%)

Memory: 15.7MiB live, 91.0MiB allocated
Compiler: Compiled 9 932 to 1 201 computations (87.9% saved)

prune76.0ms (0.9%)

Memory

-2.7MiB live, 76.1MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	407	7	414
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	408	7	415

Accuracy

100.0%

Counts

415 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.8%	(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
▶	70.9%	(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
	98.8%	(/.f64 (exp.f64 x) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	97.1%	(/.f64 (exp.f64 x) x)
▶	69.6%	(/.f64 #s(literal 1 binary64) x)
▶	100.0%	(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
▶	70.4%	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))

Compiler

Compiled 114 to 84 computations (26.3% saved)

simplify14.0ms (0.2%)

Memory

-20.4MiB live, 17.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	-64	(neg.f64 x)
✓	cost-diff	0	(expm1.f64 (neg.f64 x))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))

Rules

192×	`+-lowering-+.f64`
192×	`+-lowering-+.f32`
178×	`accelerator-lowering-fma.f32`
178×	`accelerator-lowering-fma.f64`
90×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	91
1	46	91
2	80	91
3	117	91
4	136	91
5	142	91
6	175	91
7	231	91
8	254	91
0	254	83

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ -1 (- (exp (neg x)) 1))
-1
(- (exp (neg x)) 1)
(neg x)
x
(/ 1 x)
1
x
(+ (/ 1 x) 1/2)
(/ 1 x)
1
x
1/2
(+ (* x 1/12) (+ (/ 1 x) 1/2))
x
1/12
(+ (/ 1 x) 1/2)
(/ 1 x)
1
1/2
(+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2))
x
(+ (* x (* x -1/720)) 1/12)
(* x -1/720)
-1/720
1/12
(+ (/ 1 x) 1/2)
(/ 1 x)
1
1/2

Outputs
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x)))
-1
#s(literal -1 binary64)
(- (exp (neg x)) 1)
(expm1.f64 (-.f64 #s(literal 0 binary64) x))
(neg x)
(-.f64 #s(literal 0 binary64) x)
x
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(+ (/ 1 x) 1/2)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
1/2
#s(literal 1/2 binary64)
(+ (* x 1/12) (+ (/ 1 x) 1/2))
(+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))
x
1/12
#s(literal 1/12 binary64)
(+ (/ 1 x) 1/2)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
1/2
#s(literal 1/2 binary64)
(+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2))
(+.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/720 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x)))
x
(+ (* x (* x -1/720)) 1/12)
(fma.f64 x (fma.f64 x #s(literal -1/720 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64))
(* x -1/720)
(fma.f64 x #s(literal -1/720 binary64) #s(literal 0 binary64))
-1/720
#s(literal -1/720 binary64)
1/12
#s(literal 1/12 binary64)
(+ (/ 1 x) 1/2)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
1/2
#s(literal 1/2 binary64)

localize69.0ms (0.8%)

Memory

8.8MiB live, 87.2MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
✓	accuracy	99.9%	(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
✓	accuracy	99.9%	(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))
✓	accuracy	99.7%	(*.f64 x #s(literal -1/720 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
✓	accuracy	99.9%	(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(expm1.f64 (neg.f64 x))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))

Samples

43.0ms

256×

valid

Compiler

Compiled 85 to 20 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 10.0ms (32.8% of total)

const: 6.0ms (19.7% of total)

ival-div: 4.0ms (13.1% of total)

ival-add: 4.0ms (13.1% of total)

ival-neg: 4.0ms (13.1% of total)

ival-expm1: 2.0ms (6.6% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Counts

9 → 108

Calls

Call 1

Inputs
#<alt (/ -1 (- (exp (neg x)) 1))>
#<alt (- (exp (neg x)) 1)>
#<alt (neg x)>
#<alt (/ 1 x)>
#<alt (+ (/ 1 x) 1/2)>
#<alt (+ (* x 1/12) (+ (/ 1 x) 1/2))>
#<alt (+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2))>
#<alt (+ (* x (* x -1/720)) 1/12)>
#<alt (* x -1/720)>

Outputs
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)>
#<alt (/ -1 (- (exp (neg x)) 1))>
#<alt (/ -1 (- (exp (neg x)) 1))>
#<alt (/ -1 (- (exp (neg x)) 1))>
#<alt (/ -1 (- (exp (neg x)) 1))>
#<alt (/ -1 (- (exp (* -1 x)) 1))>
#<alt (/ -1 (- (exp (* -1 x)) 1))>
#<alt (/ -1 (- (exp (* -1 x)) 1))>
#<alt (/ -1 (- (exp (* -1 x)) 1))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1))>
#<alt (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))>
#<alt (- (exp (neg x)) 1)>
#<alt (- (exp (neg x)) 1)>
#<alt (- (exp (neg x)) 1)>
#<alt (- (exp (neg x)) 1)>
#<alt (- (exp (* -1 x)) 1)>
#<alt (- (exp (* -1 x)) 1)>
#<alt (- (exp (* -1 x)) 1)>
#<alt (- (exp (* -1 x)) 1)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt 1/2>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt 1/2>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)>
#<alt (* -1/720 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))>
#<alt 1/12>
#<alt (+ 1/12 (* -1/720 (pow x 2)))>
#<alt (+ 1/12 (* -1/720 (pow x 2)))>
#<alt (+ 1/12 (* -1/720 (pow x 2)))>
#<alt (* -1/720 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* -1/720 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+ (* x 1/12) (+ (/ 1 x) 1/2))
1.0ms	x	@	inf	(/ -1 (- (exp (neg x)) 1))
0.0ms	x	@	0	(/ -1 (- (exp (neg x)) 1))
0.0ms	x	@	-inf	(/ -1 (- (exp (neg x)) 1))
0.0ms	x	@	inf	(+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2))

rewrite383.0ms (4.6%)

Memory

-1.2MiB live, 586.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 738×	`accelerator-lowering-fma.f32`
6 738×	`accelerator-lowering-fma.f64`
4 052×	`-lowering-.f32`
4 052×	`-lowering-.f64`
3 810×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	56
1	121	56
2	991	56
0	8357	48

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 463

Calls

Call 1

Inputs
(/ -1 (- (exp (neg x)) 1))
(- (exp (neg x)) 1)
(neg x)
(/ 1 x)
(+ (/ 1 x) 1/2)
(+ (* x 1/12) (+ (/ 1 x) 1/2))
(+ (* x (+ (* x (* x -1/720)) 1/12)) (+ (/ 1 x) 1/2))
(+ (* x (* x -1/720)) 1/12)
(* x -1/720)

Outputs
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)))) (exp.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) x))) (.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)))) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)))) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)))) (exp.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) x))))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)))) (+.f64 (exp.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) x)) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)))) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) x))) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) x))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) x))) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) x))) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(+.f64 (.f64 (exp.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) x)) (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))))) (.f64 (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))))))
(+.f64 (.f64 (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))))) (.f64 (exp.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) x)) (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))))))
(+.f64 (.f64 (+.f64 (exp.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))))) (.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))))))
(+.f64 (.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) x)))) (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) x)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/144 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) (.f64 (.f64 x x) #s(literal 1/8640 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64))))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64)) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/144 binary64)) (.f64 (.f64 x x) #s(literal 1/8640 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64)) (+.f64 #s(literal 1/144 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) (.f64 (.f64 x x) #s(literal 1/8640 binary64)))))
(/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/144 binary64)) (.f64 (.f64 x x) #s(literal 1/8640 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64))) (neg.f64 (+.f64 #s(literal 1/144 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) (.f64 (.f64 x x) #s(literal 1/8640 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64))) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/12 binary64)))
(/.f64 (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)))) (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64))) (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)) #s(literal 1/144 binary64))) (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/144 binary64)) (.f64 (.f64 x x) #s(literal 1/8640 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64)))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/12 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64))))) (neg.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64))) (fma.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64))) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)))) (.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64))))) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/12 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/144 binary64)) (.f64 (*.f64 x x) #s(literal 1/8640 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/144 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) (.f64 (*.f64 x x) #s(literal 1/8640 binary64))))))
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/12 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/144 binary64)) (.f64 (*.f64 x x) #s(literal 1/8640 binary64))))))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/144 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/12 binary64))))
(.f64 (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/518400 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/12 binary64) (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(/.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x #s(literal -1/720 binary64))
(*.f64 #s(literal -1/720 binary64) x)

simplify254.0ms (3%)

Memory

-0.4MiB live, 284.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 646×	`accelerator-lowering-fma.f32`
8 646×	`accelerator-lowering-fma.f64`
2 730×	`-lowering-.f32`
2 730×	`-lowering-.f64`
1 604×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	661
1	249	660
2	686	640
3	2076	627
4	6062	589
0	8239	513

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

Inputs
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (neg x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(/ -1 (- (exp (* -1 x)) 1))
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (neg x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(- (exp (* -1 x)) 1)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* 1/2 x)) x)
1/2
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
1/2
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(* -1/720 (pow x 3))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))
1/12
(+ 1/12 (* -1/720 (pow x 2)))
(+ 1/12 (* -1/720 (pow x 2)))
(+ 1/12 (* -1/720 (pow x 2)))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)

Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x)))
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x)))
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x)))
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x)))
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x)))
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x)))
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x)))
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 1/2 x) 1))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(- (exp (neg x)) 1)
(expm1.f64 (-.f64 #s(literal 0 binary64) x))
(- (exp (neg x)) 1)
(expm1.f64 (-.f64 #s(literal 0 binary64) x))
(- (exp (neg x)) 1)
(expm1.f64 (-.f64 #s(literal 0 binary64) x))
(- (exp (neg x)) 1)
(expm1.f64 (-.f64 #s(literal 0 binary64) x))
(- (exp (* -1 x)) 1)
(expm1.f64 (-.f64 #s(literal 0 binary64) x))
(- (exp (* -1 x)) 1)
(expm1.f64 (-.f64 #s(literal 0 binary64) x))
(- (exp (* -1 x)) 1)
(expm1.f64 (-.f64 #s(literal 0 binary64) x))
(- (exp (* -1 x)) 1)
(expm1.f64 (-.f64 #s(literal 0 binary64) x))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(* 1/12 x)
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(* 1/12 x)
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(* -1/720 (pow x 3))
(fma.f64 x (*.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(fma.f64 x (fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(fma.f64 x (fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))
(* -1/720 (pow x 3))
(fma.f64 x (*.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(fma.f64 x (fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(fma.f64 x (fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))
(fma.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64))) #s(literal 0 binary64))
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* -1/720 (pow x 2)))
(fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64))
(+ 1/12 (* -1/720 (pow x 2)))
(fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64))
(+ 1/12 (* -1/720 (pow x 2)))
(fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64))
(* -1/720 (pow x 2))
(*.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64))
(* -1/720 (pow x 2))
(*.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64))
(* -1/720 x)
(fma.f64 x #s(literal -1/720 binary64) #s(literal 0 binary64))
(* -1/720 x)
(fma.f64 x #s(literal -1/720 binary64) #s(literal 0 binary64))
(* -1/720 x)
(fma.f64 x #s(literal -1/720 binary64) #s(literal 0 binary64))
(* -1/720 x)
(fma.f64 x #s(literal -1/720 binary64) #s(literal 0 binary64))
(* -1/720 x)
(fma.f64 x #s(literal -1/720 binary64) #s(literal 0 binary64))
(* -1/720 x)
(fma.f64 x #s(literal -1/720 binary64) #s(literal 0 binary64))
(* -1/720 x)
(fma.f64 x #s(literal -1/720 binary64) #s(literal 0 binary64))
(* -1/720 x)
(fma.f64 x #s(literal -1/720 binary64) #s(literal 0 binary64))
(* -1/720 x)
(fma.f64 x #s(literal -1/720 binary64) #s(literal 0 binary64))
(* -1/720 x)
(fma.f64 x #s(literal -1/720 binary64) #s(literal 0 binary64))
(* -1/720 x)
(fma.f64 x #s(literal -1/720 binary64) #s(literal 0 binary64))
(* -1/720 x)
(fma.f64 x #s(literal -1/720 binary64) #s(literal 0 binary64))

eval94.0ms (1.1%)

Memory: -3.7MiB live, 144.8MiB allocated
Compiler: Compiled 20 554 to 1 497 computations (92.7% saved)

prune82.0ms (1%)

Memory

13.9MiB live, 176.0MiB allocated

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	731	12	743
Fresh	1	1	2
Picked	0	5	5
Done	0	0	0
Total	732	18	750

Accuracy

100.0%

Counts

750 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.8%	(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/720 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))))
	34.5%	(fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))))
✓	70.8%	(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
	34.7%	(fma.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64))) #s(literal 0 binary64))
✓	70.9%	(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
	3.1%	(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
	3.5%	(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
	70.8%	(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
	34.4%	(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x))))
▶	97.1%	(/.f64 (exp.f64 x) x)
▶	34.1%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
✓	69.6%	(/.f64 #s(literal 1 binary64) x)
▶	91.1%	(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
	88.1%	(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
▶	83.7%	(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64)))
✓	100.0%	(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
✓	70.4%	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
▶	3.3%	#s(literal 1/2 binary64)

Compiler

Compiled 401 to 258 computations (35.7% saved)

simplify274.0ms (3.3%)

Memory

-16.1MiB live, 303.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) x)
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
✓	cost-diff	0	(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
✓	cost-diff	0	(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64)))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(/.f64 (exp.f64 x) x)

Rules

6 586×	`accelerator-lowering-fma.f32`
6 586×	`accelerator-lowering-fma.f64`
2 268×	`--lowering--.f32`
2 268×	`--lowering--.f64`
2 166×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	154
1	74	154
2	181	152
3	354	152
4	716	152
5	1102	152
6	2145	152
7	4060	152
8	6086	152
9	7321	152
0	8182	137

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (exp x) x)
(exp x)
x
1/2
(/ -1 (+ (* x (+ (* x 1/2) -1)) 0))
-1
(+ (* x (+ (* x 1/2) -1)) 0)
x
(+ (* x 1/2) -1)
1/2
0
(/ -1 (+ (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) 0))
-1
(+ (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) 0)
x
(+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)
(+ (* x (+ (* x 1/24) -1/6)) 1/2)
(+ (* x 1/24) -1/6)
1/24
-1/6
1/2
0
(/ 1 (/ (+ 1/2 (/ -1 x)) (- 1/4 (/ 1 (* x x)))))
1
(/ (+ 1/2 (/ -1 x)) (- 1/4 (/ 1 (* x x))))
(+ 1/2 (/ -1 x))
1/2
(/ -1 x)
-1
x
(- 1/4 (/ 1 (* x x)))
1/4
(/ 1 (* x x))
(* x x)

Outputs
(/ (exp x) x)
(/.f64 (exp.f64 x) x)
(exp x)
(exp.f64 x)
x
1/2
#s(literal 1/2 binary64)
(/ -1 (+ (* x (+ (* x 1/2) -1)) 0))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64)))
-1
#s(literal -1 binary64)
(+ (* x (+ (* x 1/2) -1)) 0)
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64))
x
(+ (* x 1/2) -1)
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
1/2
#s(literal 1/2 binary64)
0
#s(literal 0 binary64)
(/ -1 (+ (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) 0))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
-1
#s(literal -1 binary64)
(+ (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) 0)
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
x
(+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(+ (* x (+ (* x 1/24) -1/6)) 1/2)
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(+ (* x 1/24) -1/6)
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
1/24
#s(literal 1/24 binary64)
-1/6
#s(literal -1/6 binary64)
1/2
#s(literal 1/2 binary64)
0
#s(literal 0 binary64)
(/ 1 (/ (+ 1/2 (/ -1 x)) (- 1/4 (/ 1 (* x x)))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
1
#s(literal 1 binary64)
(/ (+ 1/2 (/ -1 x)) (- 1/4 (/ 1 (* x x))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(+ 1/2 (/ -1 x))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))
1/2
#s(literal 1/2 binary64)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
x
(- 1/4 (/ 1 (* x x)))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))))
1/4
#s(literal 1/4 binary64)
(/ 1 (* x x))
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* x x)
(fma.f64 x x #s(literal 0 binary64))

localize94.0ms (1.1%)

Memory

24.1MiB live, 101.1MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	63.8%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
✓	accuracy	99.9%	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
✓	accuracy	99.9%	(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
✓	accuracy	99.9%	(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
✓	accuracy	99.8%	(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
✓	accuracy	100.0%	(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
✓	accuracy	100.0%	(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64))
✓	accuracy	99.7%	(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64)))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(/.f64 (exp.f64 x) x)

Samples

59.0ms

256×

valid

Compiler

Compiled 145 to 33 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-div: 12.0ms (29.8% of total)

ival-mult: 10.0ms (24.8% of total)

ival-add: 8.0ms (19.8% of total)

const: 6.0ms (14.9% of total)

ival-exp: 2.0ms (5% of total)

ival-sub: 1.0ms (2.5% of total)

exact: 1.0ms (2.5% of total)

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

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

series10.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB allocated

Counts

16 → 192

Calls

Call 1

Inputs
#<alt (/ (exp x) x)>
#<alt (exp x)>
#<alt (/ -1 (+ (* x (+ (* x 1/2) -1)) 0))>
#<alt (+ (* x (+ (* x 1/2) -1)) 0)>
#<alt (+ (* x 1/2) -1)>
#<alt (/ -1 (+ (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) 0))>
#<alt (+ (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) 0)>
#<alt (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)>
#<alt (+ (* x (+ (* x 1/24) -1/6)) 1/2)>
#<alt (/ 1 (/ (+ 1/2 (/ -1 x)) (- 1/4 (/ 1 (* x x)))))>
#<alt (/ (+ 1/2 (/ -1 x)) (- 1/4 (/ 1 (* x x))))>
#<alt (+ 1/2 (/ -1 x))>
#<alt (/ -1 x)>
#<alt (+ (* x 1/24) -1/6)>
#<alt (/ 1 (* x x))>
#<alt (- 1/4 (/ 1 (* x x)))>

Outputs
#<alt (/ 1 x)>
#<alt (/ (+ 1 x) x)>
#<alt (/ (+ 1 (* x (+ 1 (* 1/2 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) x)>
#<alt (/ (exp x) x)>
#<alt (/ (exp x) x)>
#<alt (/ (exp x) x)>
#<alt (/ (exp x) x)>
#<alt (/ (exp x) x)>
#<alt (/ (exp x) x)>
#<alt (/ (exp x) x)>
#<alt (/ (exp x) x)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/4 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))) x)>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 4 (/ 1 x))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 2))) (+ 2 (* 4 (/ 1 x)))) (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 4 (/ 1 x))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 4 (+ (* 8 (/ 1 x)) (/ 16 (pow x 2)))) x)) 2) (pow x 2))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt -1>
#<alt (- (* 1/2 x) 1)>
#<alt (- (* 1/2 x) 1)>
#<alt (- (* 1/2 x) 1)>
#<alt (* 1/2 x)>
#<alt (* x (- 1/2 (/ 1 x)))>
#<alt (* x (- 1/2 (/ 1 x)))>
#<alt (* x (- 1/2 (/ 1 x)))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (/ 1 x) 1/2)))>
#<alt (* -1 (* x (- (/ 1 x) 1/2)))>
#<alt (* -1 (* x (- (/ 1 x) 1/2)))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* 1/144 (pow x 2))))))) x)>
#<alt (/ -24 (pow x 4))>
#<alt (* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))>
#<alt (/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4))>
#<alt (/ (- (* 192 (/ 1 (pow x 3))) (+ 24 (+ (* 96 (/ 1 x)) (/ 96 (pow x 2))))) (pow x 4))>
#<alt (/ -24 (pow x 4))>
#<alt (* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))>
#<alt (/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4))>
#<alt (/ (- (* -1 (/ (+ 96 (* -1 (/ (- (* 192 (/ 1 x)) 96) x))) x)) 24) (pow x 4))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1))>
#<alt (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x))))>
#<alt -1>
#<alt (- (* 1/2 x) 1)>
#<alt (- (* x (+ 1/2 (* -1/6 x))) 1)>
#<alt (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/6 x))>
#<alt (+ 1/2 (* x (- (* 1/24 x) 1/6)))>
#<alt (+ 1/2 (* x (- (* 1/24 x) 1/6)))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt 1/2>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt 1/2>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/4 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2))))>
#<alt 2>
#<alt (- 2 (* 4 (/ 1 x)))>
#<alt (- (+ 2 (/ 8 (pow x 2))) (* 4 (/ 1 x)))>
#<alt (- (+ 2 (/ 8 (pow x 2))) (+ (* 4 (/ 1 x)) (* 16 (/ 1 (pow x 3)))))>
#<alt 2>
#<alt (- 2 (* 4 (/ 1 x)))>
#<alt (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 x))) x)))>
#<alt (+ 2 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 16 (/ 1 x))) x))) x)))>
#<alt (/ -1 x)>
#<alt (/ (- (* 1/2 x) 1) x)>
#<alt (/ (- (* 1/2 x) 1) x)>
#<alt (/ (- (* 1/2 x) 1) x)>
#<alt 1/2>
#<alt (- 1/2 (/ 1 x))>
#<alt (- 1/2 (/ 1 x))>
#<alt (- 1/2 (/ 1 x))>
#<alt 1/2>
#<alt (- 1/2 (/ 1 x))>
#<alt (- 1/2 (/ 1 x))>
#<alt (- 1/2 (/ 1 x))>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt -1/6>
#<alt (- (* 1/24 x) 1/6)>
#<alt (- (* 1/24 x) 1/6)>
#<alt (- (* 1/24 x) 1/6)>
#<alt (* 1/24 x)>
#<alt (* x (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 x)>
#<alt (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))>
#<alt (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (* 1/4 (pow x 2)) 1) (pow x 2))>
#<alt (/ (- (* 1/4 (pow x 2)) 1) (pow x 2))>
#<alt (/ (- (* 1/4 (pow x 2)) 1) (pow x 2))>
#<alt 1/4>
#<alt (- 1/4 (/ 1 (pow x 2)))>
#<alt (- 1/4 (/ 1 (pow x 2)))>
#<alt (- 1/4 (/ 1 (pow x 2)))>
#<alt 1/4>
#<alt (- 1/4 (/ 1 (pow x 2)))>
#<alt (- 1/4 (/ 1 (pow x 2)))>
#<alt (- 1/4 (/ 1 (pow x 2)))>

Calls

48 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/ -1 (+ (* x (+ (* x 1/2) -1)) 0))
1.0ms	x	@	-inf	(/ (exp x) x)
0.0ms	x	@	inf	(/ (exp x) x)
0.0ms	x	@	0	(/ -1 (+ (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) 0))
0.0ms	x	@	inf	(/ -1 (+ (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) 0))

rewrite426.0ms (5.1%)

Memory

-9.4MiB live, 614.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 470×	`/-lowering-/.f32`
4 470×	`/-lowering-/.f64`
4 334×	`-lowering-.f32`
4 334×	`-lowering-.f64`
4 238×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	134
1	221	114
2	1967	114
0	8347	99

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 904

Calls

Call 1

Inputs
(/ (exp x) x)
(exp x)
(/ -1 (+ (* x (+ (* x 1/2) -1)) 0))
(+ (* x (+ (* x 1/2) -1)) 0)
(+ (* x 1/2) -1)
(/ -1 (+ (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) 0))
(+ (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) 0)
(+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)
(+ (* x (+ (* x 1/24) -1/6)) 1/2)
(/ 1 (/ (+ 1/2 (/ -1 x)) (- 1/4 (/ 1 (* x x)))))
(/ (+ 1/2 (/ -1 x)) (- 1/4 (/ 1 (* x x))))
(+ 1/2 (/ -1 x))
(/ -1 x)
(+ (* x 1/24) -1/6)
(/ 1 (* x x))
(- 1/4 (/ 1 (* x x)))

Outputs
(exp.f64 (.f64 (log.f64 (.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (exp.f64 x) (-.f64 #s(literal 0 binary64) x)))
(neg.f64 (/.f64 (exp.f64 x) (-.f64 #s(literal 0 binary64) x)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) x))
(/.f64 (exp.f64 x) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (*.f64 (exp.f64 x) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (*.f64 (exp.f64 x) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (exp.f64 x) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)))
(exp.f64 x)
(exp.f64 (*.f64 (log.f64 (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) x)
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 0 binary64))) (fma.f64 x (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64)))
(*.f64 (pow.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x #s(literal -1/2 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x #s(literal -1/2 binary64))))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x #s(literal -1/2 binary64))))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(+.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64)))
(+.f64 (-.f64 #s(literal 0 binary64) x) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) x))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (-.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)))
(+.f64 (+.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(-.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(-.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64))))
(-.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) x))) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) x))))
(fma.f64 x #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) x))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (-.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)))
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(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/64 binary64) (/.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/16 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/64 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1/16 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 1/4 binary64)))))
(/.f64 (+.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/16 binary64) (-.f64 (.f64 (.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/4 binary64) (.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/16 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/16 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/16 binary64))) (/.f64 #s(literal 1/64 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/16 binary64))) (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/16 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/16 binary64))) (.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/16 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/16 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 (/.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))))
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/16 binary64)) (+.f64 #s(literal 1/64 binary64) (/.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1/64 binary64) (/.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/16 binary64))))
(.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))

simplify685.0ms (8.2%)

Memory

-129.4MiB live, 518.4MiB allocated

Algorithm

1×	egg-herbie

Rules

13 526×	`accelerator-lowering-fma.f32`
13 526×	`accelerator-lowering-fma.f64`
3 710×	`-lowering-.f32`
3 710×	`-lowering-.f64`
3 360×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	233	1358
1	660	1326
2	1697	1248
3	5019	1236
0	8315	1150

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
(/ 1 x)
(/ (+ 1 x) x)
(/ (+ 1 (* x (+ 1 (* 1/2 x)))) x)
(/ (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) x)
(/ (exp x) x)
(/ (exp x) x)
(/ (exp x) x)
(/ (exp x) x)
(/ (exp x) x)
(/ (exp x) x)
(/ (exp x) x)
(/ (exp x) x)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/4 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))) x)
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 4 (/ 1 x))) (pow x 2)))
(/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) (pow x 2))
(/ (- (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 2))) (+ 2 (* 4 (/ 1 x)))) (pow x 2))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 4 (/ 1 x))) (pow x 2)))
(/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) (pow x 2))
(/ (- (* -1 (/ (+ 4 (+ (* 8 (/ 1 x)) (/ 16 (pow x 2)))) x)) 2) (pow x 2))
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* 1/2 x) 1))
(* x (- (* 1/2 x) 1))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (- 1/2 (/ 1 x)))
-1
(- (* 1/2 x) 1)
(- (* 1/2 x) 1)
(- (* 1/2 x) 1)
(* 1/2 x)
(* x (- 1/2 (/ 1 x)))
(* x (- 1/2 (/ 1 x)))
(* x (- 1/2 (/ 1 x)))
(* 1/2 x)
(* -1 (* x (- (/ 1 x) 1/2)))
(* -1 (* x (- (/ 1 x) 1/2)))
(* -1 (* x (- (/ 1 x) 1/2)))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* 1/144 (pow x 2))))))) x)
(/ -24 (pow x 4))
(* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))
(/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4))
(/ (- (* 192 (/ 1 (pow x 3))) (+ 24 (+ (* 96 (/ 1 x)) (/ 96 (pow x 2))))) (pow x 4))
(/ -24 (pow x 4))
(* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))
(/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4))
(/ (- (* -1 (/ (+ 96 (* -1 (/ (- (* 192 (/ 1 x)) 96) x))) x)) 24) (pow x 4))
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x))))
-1
(- (* 1/2 x) 1)
(- (* x (+ 1/2 (* -1/6 x))) 1)
(- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)
(* 1/24 (pow x 3))
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))
(* 1/24 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24)))
1/2
(+ 1/2 (* -1/6 x))
(+ 1/2 (* x (- (* 1/24 x) 1/6)))
(+ 1/2 (* x (- (* 1/24 x) 1/6)))
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* 1/2 x)) x)
1/2
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
1/2
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/4 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2))))
2
(- 2 (* 4 (/ 1 x)))
(- (+ 2 (/ 8 (pow x 2))) (* 4 (/ 1 x)))
(- (+ 2 (/ 8 (pow x 2))) (+ (* 4 (/ 1 x)) (* 16 (/ 1 (pow x 3)))))
2
(- 2 (* 4 (/ 1 x)))
(+ 2 (* -1 (/ (- 4 (* 8 (/ 1 x))) x)))
(+ 2 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 16 (/ 1 x))) x))) x)))
(/ -1 x)
(/ (- (* 1/2 x) 1) x)
(/ (- (* 1/2 x) 1) x)
(/ (- (* 1/2 x) 1) x)
1/2
(- 1/2 (/ 1 x))
(- 1/2 (/ 1 x))
(- 1/2 (/ 1 x))
1/2
(- 1/2 (/ 1 x))
(- 1/2 (/ 1 x))
(- 1/2 (/ 1 x))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
-1/6
(- (* 1/24 x) 1/6)
(- (* 1/24 x) 1/6)
(- (* 1/24 x) 1/6)
(* 1/24 x)
(* x (- 1/24 (* 1/6 (/ 1 x))))
(* x (- 1/24 (* 1/6 (/ 1 x))))
(* x (- 1/24 (* 1/6 (/ 1 x))))
(* 1/24 x)
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ -1 (pow x 2))
(/ (- (* 1/4 (pow x 2)) 1) (pow x 2))
(/ (- (* 1/4 (pow x 2)) 1) (pow x 2))
(/ (- (* 1/4 (pow x 2)) 1) (pow x 2))
1/4
(- 1/4 (/ 1 (pow x 2)))
(- 1/4 (/ 1 (pow x 2)))
(- 1/4 (/ 1 (pow x 2)))
1/4
(- 1/4 (/ 1 (pow x 2)))
(- 1/4 (/ 1 (pow x 2)))
(- 1/4 (/ 1 (pow x 2)))

Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 x) x)
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/ (+ 1 (* x (+ 1 (* 1/2 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(/ (exp x) x)
(/.f64 (exp.f64 x) x)
(/ (exp x) x)
(/.f64 (exp.f64 x) x)
(/ (exp x) x)
(/.f64 (exp.f64 x) x)
(/ (exp x) x)
(/.f64 (exp.f64 x) x)
(/ (exp x) x)
(/.f64 (exp.f64 x) x)
(/ (exp x) x)
(/.f64 (exp.f64 x) x)
(/ (exp x) x)
(/.f64 (exp.f64 x) x)
(/ (exp x) x)
(/.f64 (exp.f64 x) x)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/4 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 4 (/ 1 x))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) (pow x 2))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) x)) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 2))) (+ 2 (* 4 (/ 1 x)))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 16 binary64) x)) x) #s(literal 4 binary64)) #s(literal -2 binary64)) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 4 (/ 1 x))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) (pow x 2))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) x)) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 4 (+ (* 8 (/ 1 x)) (/ 16 (pow x 2)))) x)) 2) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (+.f64 (/.f64 #s(literal -16 binary64) x) #s(literal -8 binary64)) x)) x)) (*.f64 x x))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 1/2 x) 1))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* x (- (* 1/2 x) 1))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* x (- (* 1/2 x) 1))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* 1/2 (pow x 2))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 1/2 (/ 1 x)))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* (pow x 2) (- 1/2 (/ 1 x)))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* (pow x 2) (- 1/2 (/ 1 x)))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* 1/2 (pow x 2))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 1/2 (/ 1 x)))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* (pow x 2) (- 1/2 (/ 1 x)))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* (pow x 2) (- 1/2 (/ 1 x)))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* 1/2 x) 1)
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (* 1/2 x) 1)
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (* 1/2 x) 1)
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (- 1/2 (/ 1 x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
(* x (- 1/2 (/ 1 x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
(* x (- 1/2 (/ 1 x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1 (* x (- (/ 1 x) 1/2)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1/2)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1/2)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* 1/144 (pow x 2))))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/144 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ -24 (pow x 4))
(/.f64 #s(literal -24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (.f64 x (.f64 x (*.f64 x x))))
(/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 (+.f64 #s(literal -96 binary64) (/.f64 #s(literal -96 binary64) x)) x)) (.f64 x (.f64 x (*.f64 x x))))
(/ (- (* 192 (/ 1 (pow x 3))) (+ 24 (+ (* 96 (/ 1 x)) (/ 96 (pow x 2))))) (pow x 4))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 192 binary64) x) #s(literal -96 binary64)) (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x))) (.f64 x (.f64 x (.f64 x x))))
(/ -24 (pow x 4))
(/.f64 #s(literal -24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (.f64 x (.f64 x (*.f64 x x))))
(/ (- (* -1 (/ (+ 96 (* 96 (/ 1 x))) x)) 24) (pow x 4))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 (+.f64 #s(literal -96 binary64) (/.f64 #s(literal -96 binary64) x)) x)) (.f64 x (.f64 x (*.f64 x x))))
(/ (- (* -1 (/ (+ 96 (* -1 (/ (- (* 192 (/ 1 x)) 96) x))) x)) 24) (pow x 4))
(/.f64 (-.f64 #s(literal -24 binary64) (/.f64 (-.f64 #s(literal 96 binary64) (/.f64 (+.f64 (/.f64 #s(literal 192 binary64) x) #s(literal -96 binary64)) x)) x)) (.f64 x (.f64 x (*.f64 x x))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 1/2 x) 1))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* 1/24 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/24 binary64))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/6 binary64) x)))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) x)))
(* 1/24 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/24 binary64))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/6 binary64) x)))
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) x)))
-1
#s(literal -1 binary64)
(- (* 1/2 x) 1)
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (* x (+ 1/2 (* -1/6 x))) 1)
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(* 1/24 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))
(.f64 (.f64 x (*.f64 x x)) (-.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) x)))
(* 1/24 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24)))
(.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24)))
(.f64 (.f64 x (*.f64 x x)) (-.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) x)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/6 x))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* 1/24 x) 1/6)))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* 1/24 x) 1/6)))
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(* 1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(* 1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(/ (+ 1 (* 1/2 x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(/ (+ 1 (* 1/2 x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
x
(* x (+ 1 (* -1/2 x)))
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(* x (+ 1 (* x (- (* 1/4 x) 1/2))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
2
#s(literal 2 binary64)
(- 2 (* 4 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x))
(- (+ 2 (/ 8 (pow x 2))) (* 4 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) x) #s(literal -4 binary64)) x))
(- (+ 2 (/ 8 (pow x 2))) (+ (* 4 (/ 1 x)) (* 16 (/ 1 (pow x 3)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -16 binary64) x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x)))
2
#s(literal 2 binary64)
(- 2 (* 4 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x))
(+ 2 (* -1 (/ (- 4 (* 8 (/ 1 x))) x)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) x) #s(literal -4 binary64)) x))
(+ 2 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 16 (/ 1 x))) x))) x)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -16 binary64) x)) x) #s(literal -4 binary64)) x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* 1/2 x) 1) x)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))
(/ (- (* 1/2 x) 1) x)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))
(/ (- (* 1/2 x) 1) x)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))
1/2
#s(literal 1/2 binary64)
(- 1/2 (/ 1 x))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))
(- 1/2 (/ 1 x))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))
(- 1/2 (/ 1 x))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))
1/2
#s(literal 1/2 binary64)
(- 1/2 (/ 1 x))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))
(- 1/2 (/ 1 x))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))
(- 1/2 (/ 1 x))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
-1/6
#s(literal -1/6 binary64)
(- (* 1/24 x) 1/6)
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(- (* 1/24 x) 1/6)
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(- (* 1/24 x) 1/6)
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (- 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(* x (- 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(* x (- 1/24 (* 1/6 (/ 1 x))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (* 1/4 (pow x 2)) 1) (pow x 2))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/ (- (* 1/4 (pow x 2)) 1) (pow x 2))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/ (- (* 1/4 (pow x 2)) 1) (pow x 2))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
1/4
#s(literal 1/4 binary64)
(- 1/4 (/ 1 (pow x 2)))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(- 1/4 (/ 1 (pow x 2)))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(- 1/4 (/ 1 (pow x 2)))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
1/4
#s(literal 1/4 binary64)
(- 1/4 (/ 1 (pow x 2)))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(- 1/4 (/ 1 (pow x 2)))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(- 1/4 (/ 1 (pow x 2)))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))

eval156.0ms (1.9%)

Memory: 25.9MiB live, 210.4MiB allocated
Compiler: Compiled 35 909 to 3 245 computations (91% saved)

prune135.0ms (1.6%)

Memory

15.6MiB live, 254.0MiB allocated

Pruning

24 alts after pruning (17 fresh and 7 done)

	Pruned	Kept	Total
New	1 084	12	1 096
Fresh	3	5	8
Picked	3	2	5
Done	0	5	5
Total	1 090	24	1 114

Accuracy

100.0%

Counts

1 114 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.5%	(fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))))
✓	70.8%	(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
▶	34.7%	(fma.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64))) #s(literal 0 binary64))
✓	70.9%	(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
	3.1%	(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
▶	3.5%	(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
	70.8%	(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
▶	70.4%	(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
	69.1%	(/.f64 (+.f64 #s(literal 1 binary64) x) x)
✓	97.1%	(/.f64 (exp.f64 x) x)
▶	2.2%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x)))
▶	90.5%	(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	83.7%	(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	69.6%	(/.f64 #s(literal 1 binary64) x)
	83.7%	(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) x)))
	24.5%	(/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 0 binary64)))
	23.5%	(/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 0 binary64)))
	76.8%	(/.f64 #s(literal -1 binary64) (/.f64 (.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
✓	100.0%	(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
	17.1%	(/.f64 #s(literal -2 binary64) (*.f64 x x))
	23.5%	(/.f64 #s(literal -24 binary64) (.f64 x (.f64 x (*.f64 x x))))
✓	70.4%	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
	37.8%	(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
✓	3.3%	#s(literal 1/2 binary64)

Compiler

Compiled 532 to 319 computations (40% saved)

simplify293.0ms (3.5%)

Memory

-4.6MiB live, 363.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
✓	cost-diff	0	(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64)))
✓	cost-diff	128	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)
✓	cost-diff	768	(fma.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64))) #s(literal 0 binary64))
✓	cost-diff	0	(/.f64 #s(literal -4 binary64) x)
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x)))
✓	cost-diff	0	(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
✓	cost-diff	192	(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
✓	cost-diff	0	(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
✓	cost-diff	0	(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))

Rules

8 778×	`accelerator-lowering-fma.f32`
8 778×	`accelerator-lowering-fma.f64`
4 446×	`-lowering-.f32`
4 446×	`-lowering-.f64`
1 926×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	169
1	90	169
2	202	169
3	553	163
4	1068	163
5	1363	163
6	1926	163
7	2392	163
8	3826	163
9	4120	163
10	4384	163
11	4607	163
12	6102	163
13	6537	163
0	8675	146

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (* x (+ (* x (+ (* x (+ (* x -1/8) 1/4)) -1/2)) 1)))
1
(* x (+ (* x (+ (* x (+ (* x -1/8) 1/4)) -1/2)) 1))
x
(+ (* x (+ (* x (+ (* x -1/8) 1/4)) -1/2)) 1)
(+ (* x (+ (* x -1/8) 1/4)) -1/2)
(+ (* x -1/8) 1/4)
-1/8
1/4
-1/2
(+ (* x 1/12) 0)
x
1/12
0
(/ (+ (* x 1/2) 1) x)
(+ (* x 1/2) 1)
x
1/2
1
(/ 1 (+ 2 (/ -4 x)))
1
(+ 2 (/ -4 x))
2
(/ -4 x)
-4
x
(+ (* x (+ (/ (+ (/ 1 x) 1/2) x) (+ (* -1/720 (+ (* x x) 0)) 1/12))) 0)
x
(+ (/ (+ (/ 1 x) 1/2) x) (+ (* -1/720 (+ (* x x) 0)) 1/12))
(/ (+ (/ 1 x) 1/2) x)
(+ (/ 1 x) 1/2)
(/ 1 x)
1
1/2
(+ (* -1/720 (+ (* x x) 0)) 1/12)
-1/720
(+ (* x x) 0)
0
1/12

Outputs
(/ 1 (* x (+ (* x (+ (* x (+ (* x -1/8) 1/4)) -1/2)) 1)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(* x (+ (* x (+ (* x (+ (* x -1/8) 1/4)) -1/2)) 1))
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
x
(+ (* x (+ (* x (+ (* x -1/8) 1/4)) -1/2)) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ (* x (+ (* x -1/8) 1/4)) -1/2)
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))
(+ (* x -1/8) 1/4)
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64))
-1/8
#s(literal -1/8 binary64)
1/4
#s(literal 1/4 binary64)
-1/2
#s(literal -1/2 binary64)
(+ (* x 1/12) 0)
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
x
1/12
#s(literal 1/12 binary64)
0
#s(literal 0 binary64)
(/ (+ (* x 1/2) 1) x)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+ (* x 1/2) 1)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
x
1/2
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
(/ 1 (+ 2 (/ -4 x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x)))
1
#s(literal 1 binary64)
(+ 2 (/ -4 x))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x))
2
#s(literal 2 binary64)
(/ -4 x)
(/.f64 #s(literal -4 binary64) x)
-4
#s(literal -4 binary64)
x
(+ (* x (+ (/ (+ (/ 1 x) 1/2) x) (+ (* -1/720 (+ (* x x) 0)) 1/12))) 0)
(+.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/720 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x)))
x
(+ (/ (+ (/ 1 x) 1/2) x) (+ (* -1/720 (+ (* x x) 0)) 1/12))
(+.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (fma.f64 x #s(literal -1/720 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64)))
(/ (+ (/ 1 x) 1/2) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(+ (/ 1 x) 1/2)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
1/2
#s(literal 1/2 binary64)
(+ (* -1/720 (+ (* x x) 0)) 1/12)
(fma.f64 x (fma.f64 x #s(literal -1/720 binary64) #s(literal 0 binary64)) #s(literal 1/12 binary64))
-1/720
#s(literal -1/720 binary64)
(+ (* x x) 0)
(fma.f64 x x #s(literal 0 binary64))
0
#s(literal 0 binary64)
1/12
#s(literal 1/12 binary64)

localize231.0ms (2.8%)

Memory

-24.3MiB live, 91.8MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64)))
✓	accuracy	99.9%	(fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64))
✓	accuracy	99.9%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)
✓	accuracy	63.7%	(fma.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64))) #s(literal 0 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal -4 binary64) x)
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x)))
✓	accuracy	100.0%	(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
✓	accuracy	99.5%	(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
✓	accuracy	100.0%	(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64))
✓	accuracy	100.0%	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	99.9%	(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))

Samples

162.0ms

256×

valid

Compiler

Compiled 158 to 39 computations (75.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 146.0ms

ival-mult: 117.0ms (80.1% of total)

ival-add: 12.0ms (8.2% of total)

ival-div: 10.0ms (6.8% of total)

const: 7.0ms (4.8% of total)

exact: 1.0ms (0.7% of total)

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

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

series10.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated

Counts

16 → 192

Calls

Call 1

Inputs
#<alt (/ 1 (* x (+ (* x (+ (* x (+ (* x -1/8) 1/4)) -1/2)) 1)))>
#<alt (+ (* x (+ (* x (+ (* x -1/8) 1/4)) -1/2)) 1)>
#<alt (+ (* x (+ (* x -1/8) 1/4)) -1/2)>
#<alt (+ (* x -1/8) 1/4)>
#<alt (+ (* x 1/12) 0)>
#<alt (/ (+ (* x 1/2) 1) x)>
#<alt (+ (* x 1/2) 1)>
#<alt (/ 1 (+ 2 (/ -4 x)))>
#<alt (+ 2 (/ -4 x))>
#<alt (/ -4 x)>
#<alt (+ (* x (+ (/ (+ (/ 1 x) 1/2) x) (+ (* -1/720 (+ (* x x) 0)) 1/12))) 0)>
#<alt (/ (+ (/ 1 x) 1/2) x)>
#<alt (+ (/ (+ (/ 1 x) 1/2) x) (+ (* -1/720 (+ (* x x) 0)) 1/12))>
#<alt (+ (/ 1 x) 1/2)>
#<alt (* x (+ (* x (+ (* x (+ (* x -1/8) 1/4)) -1/2)) 1))>
#<alt (+ (* -1/720 (+ (* x x) 0)) 1/12)>

Outputs
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/16 (pow x 3))))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* (pow x 3) (+ 1/16 (* 1/32 x)))))) x)>
#<alt (/ -8 (pow x 4))>
#<alt (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 4)))>
#<alt (/ (- (* -1 (/ (+ 16 (* 128 (/ 1 (pow x 3)))) x)) 8) (pow x 4))>
#<alt (/ (- (* -1 (/ (+ 128 (* 256 (/ 1 x))) (pow x 4))) (+ 8 (* 16 (/ 1 x)))) (pow x 4))>
#<alt (/ -8 (pow x 4))>
#<alt (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 4)))>
#<alt (/ (- (* -1 (/ (+ 16 (* 128 (/ 1 (pow x 3)))) x)) 8) (pow x 4))>
#<alt (/ (- (* -1 (/ (+ 16 (+ (* 128 (/ 1 (pow x 3))) (/ 256 (pow x 4)))) x)) 8) (pow x 4))>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* 1/4 x) 1/2)))>
#<alt (+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2)))>
#<alt (* -1/8 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/4 (/ 1 x)) 1/8))>
#<alt (* (pow x 3) (- (* 1/4 (/ 1 x)) (+ 1/8 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ (* 1/4 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/8 (/ 1/2 (pow x 2)))))>
#<alt (* -1/8 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/8 (* 1/4 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/8 (* -1 (/ (- 1/4 (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/8 (* -1 (/ (+ 1/4 (* -1 (/ (- 1/2 (/ 1 x)) x))) x)))))>
#<alt -1/2>
#<alt (- (* 1/4 x) 1/2)>
#<alt (- (* x (+ 1/4 (* -1/8 x))) 1/2)>
#<alt (- (* x (+ 1/4 (* -1/8 x))) 1/2)>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 x)) 1/8))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 x)) (+ 1/8 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 x)) (+ 1/8 (/ 1/2 (pow x 2)))))>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/4 (/ 1 x)) 1/8))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/4) x)) 1/8))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/4) x)) 1/8))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/8 x))>
#<alt (+ 1/4 (* -1/8 x))>
#<alt (+ 1/4 (* -1/8 x))>
#<alt (* -1/8 x)>
#<alt (* x (- (* 1/4 (/ 1 x)) 1/8))>
#<alt (* x (- (* 1/4 (/ 1 x)) 1/8))>
#<alt (* x (- (* 1/4 (/ 1 x)) 1/8))>
#<alt (* -1/8 x)>
#<alt (* -1 (* x (- 1/8 (* 1/4 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/8 (* 1/4 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/8 (* 1/4 (/ 1 x)))))>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt 1/2>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt 1/2>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* -1/4 x)>
#<alt (* x (- (* -1/8 x) 1/4))>
#<alt (* x (- (* x (- (* -1/16 x) 1/8)) 1/4))>
#<alt (* x (- (* x (- (* x (- (* -1/32 x) 1/16)) 1/8)) 1/4))>
#<alt 1/2>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2))))>
#<alt (+ 1/2 (+ (/ 1 x) (+ (* 4 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2))))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) x)))>
#<alt (/ -4 x)>
#<alt (/ (- (* 2 x) 4) x)>
#<alt (/ (- (* 2 x) 4) x)>
#<alt (/ (- (* 2 x) 4) x)>
#<alt 2>
#<alt (- 2 (* 4 (/ 1 x)))>
#<alt (- 2 (* 4 (/ 1 x)))>
#<alt (- 2 (* 4 (/ 1 x)))>
#<alt 2>
#<alt (- 2 (* 4 (/ 1 x)))>
#<alt (- 2 (* 4 (/ 1 x)))>
#<alt (- 2 (* 4 (/ 1 x)))>
#<alt (/ -4 x)>
#<alt (/ -4 x)>
#<alt (/ -4 x)>
#<alt (/ -4 x)>
#<alt (/ -4 x)>
#<alt (/ -4 x)>
#<alt (/ -4 x)>
#<alt (/ -4 x)>
#<alt (/ -4 x)>
#<alt (/ -4 x)>
#<alt (/ -4 x)>
#<alt (/ -4 x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)>
#<alt (* -1/720 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))>
#<alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (* 1/2 x)) (pow x 2))>
#<alt (/ (+ 1 (* 1/2 x)) (pow x 2))>
#<alt (/ (+ 1 (* 1/2 x)) (pow x 2))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (/ 1 x)) x)>
#<alt (/ (+ 1/2 (/ 1 x)) x)>
#<alt (/ (+ 1/2 (/ 1 x)) x)>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (/ 1 x)) x)>
#<alt (/ (+ 1/2 (/ 1 x)) x)>
#<alt (/ (+ 1/2 (/ 1 x)) x)>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (* 1/2 x)) (pow x 2))>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) (pow x 2))>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) (pow x 2))>
#<alt (* -1/720 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))>
#<alt (* (pow x 2) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))>
#<alt (* -1/720 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))>
#<alt (* (pow x 2) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* 1/2 x)) x)>
#<alt 1/2>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt 1/2>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt (+ 1/2 (/ 1 x))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/4 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2))))>
#<alt (* -1/8 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 x)) 1/8))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 x)) (+ 1/8 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ (* 1/4 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/8 (/ 1/2 (pow x 2)))))>
#<alt (* -1/8 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 x)) 1/8))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/4) x)) 1/8))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/4) x)) 1/8))>
#<alt 1/12>
#<alt (+ 1/12 (* -1/720 (pow x 2)))>
#<alt (+ 1/12 (* -1/720 (pow x 2)))>
#<alt (+ 1/12 (* -1/720 (pow x 2)))>
#<alt (* -1/720 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* -1/720 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))>

Calls

48 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(+ (* x (+ (* x -1/8) 1/4)) -1/2)
0.0ms	x	@	-inf	(/ 1 (* x (+ (* x (+ (* x (+ (* x -1/8) 1/4)) -1/2)) 1)))
0.0ms	x	@	0	(/ 1 (* x (+ (* x (+ (* x (+ (* x -1/8) 1/4)) -1/2)) 1)))
0.0ms	x	@	inf	(/ 1 (* x (+ (* x (+ (* x (+ (* x -1/8) 1/4)) -1/2)) 1)))
0.0ms	x	@	-inf	(/ (+ (* x 1/2) 1) x)

rewrite700.0ms (8.4%)

Memory

-3.6MiB live, 348.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 758×	`-lowering-.f32`
5 758×	`-lowering-.f64`
3 662×	`accelerator-lowering-fma.f32`
3 662×	`accelerator-lowering-fma.f64`
3 182×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	140
1	260	140
2	2516	140
0	8205	122

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 698

Calls

Call 1

Inputs
(/ 1 (* x (+ (* x (+ (* x (+ (* x -1/8) 1/4)) -1/2)) 1)))
(+ (* x (+ (* x (+ (* x -1/8) 1/4)) -1/2)) 1)
(+ (* x (+ (* x -1/8) 1/4)) -1/2)
(+ (* x -1/8) 1/4)
(+ (* x 1/12) 0)
(/ (+ (* x 1/2) 1) x)
(+ (* x 1/2) 1)
(/ 1 (+ 2 (/ -4 x)))
(+ 2 (/ -4 x))
(/ -4 x)
(+ (* x (+ (/ (+ (/ 1 x) 1/2) x) (+ (* -1/720 (+ (* x x) 0)) 1/12))) 0)
(/ (+ (/ 1 x) 1/2) x)
(+ (/ (+ (/ 1 x) 1/2) x) (+ (* -1/720 (+ (* x x) 0)) 1/12))
(+ (/ 1 x) 1/2)
(* x (+ (* x (+ (* x (+ (* x -1/8) 1/4)) -1/2)) 1))
(+ (* -1/720 (+ (* x x) 0)) 1/12)

Outputs
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)
(pow.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(.f64 (pow.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (.f64 x (.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))) #s(literal 1 binary64))) (-.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))
(+.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+.f64 (.f64 x (.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)))) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64))))) (*.f64 x #s(literal -1/2 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64))) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64))) x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64)) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))) (fma.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (.f64 x (.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (.f64 x (.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))) #s(literal 1 binary64)) (-.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64)) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (.f64 x (.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (.f64 x (.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64)) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64))) (neg.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64)) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))) (fma.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (.f64 x (.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))) #s(literal 1 binary64))) #s(literal -1 binary64))
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(/.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/373248000 binary64) #s(literal 1/1728 binary64)) (-.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/518400 binary64) #s(literal 1/144 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/8640 binary64))))
(/.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/373248000 binary64) #s(literal 1/1728 binary64)) (+.f64 #s(literal 1/144 binary64) (-.f64 (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/518400 binary64)) (.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/8640 binary64)))))
(/.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/518400 binary64) #s(literal -1/144 binary64)) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/12 binary64)))
(/.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/373248000 binary64) #s(literal 1/1728 binary64))) (neg.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/518400 binary64) #s(literal 1/144 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/8640 binary64)))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/518400 binary64) #s(literal -1/144 binary64))) (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/12 binary64))))
(/.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/12 binary64) (fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/518400 binary64) #s(literal 1/144 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/8640 binary64))) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/373248000 binary64) #s(literal 1/1728 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/518400 binary64) #s(literal -1/144 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/373248000 binary64) #s(literal 1/1728 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/518400 binary64) #s(literal 1/144 binary64)) (.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/8640 binary64)))))
(.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/518400 binary64) #s(literal -1/144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal -1/12 binary64))))

simplify313.0ms (3.7%)

Memory

18.3MiB live, 447.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 770×	`accelerator-lowering-fma.f32`
8 770×	`accelerator-lowering-fma.f64`
4 564×	`-lowering-.f32`
4 564×	`-lowering-.f64`
2 010×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	224	1514
1	598	1468
2	1727	1458
3	5749	1320
0	8285	1235

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/16 (pow x 3))))) x)
(/ (+ 1 (* x (+ 1/2 (* (pow x 3) (+ 1/16 (* 1/32 x)))))) x)
(/ -8 (pow x 4))
(* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 4)))
(/ (- (* -1 (/ (+ 16 (* 128 (/ 1 (pow x 3)))) x)) 8) (pow x 4))
(/ (- (* -1 (/ (+ 128 (* 256 (/ 1 x))) (pow x 4))) (+ 8 (* 16 (/ 1 x)))) (pow x 4))
(/ -8 (pow x 4))
(* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 4)))
(/ (- (* -1 (/ (+ 16 (* 128 (/ 1 (pow x 3)))) x)) 8) (pow x 4))
(/ (- (* -1 (/ (+ 16 (+ (* 128 (/ 1 (pow x 3))) (/ 256 (pow x 4)))) x)) 8) (pow x 4))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/4 x) 1/2)))
(+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2)))
(* -1/8 (pow x 3))
(* (pow x 3) (- (* 1/4 (/ 1 x)) 1/8))
(* (pow x 3) (- (* 1/4 (/ 1 x)) (+ 1/8 (/ 1/2 (pow x 2)))))
(* (pow x 3) (- (+ (* 1/4 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/8 (/ 1/2 (pow x 2)))))
(* -1/8 (pow x 3))
(* -1 (* (pow x 3) (- 1/8 (* 1/4 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/8 (* -1 (/ (- 1/4 (* 1/2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 1/8 (* -1 (/ (+ 1/4 (* -1 (/ (- 1/2 (/ 1 x)) x))) x)))))
-1/2
(- (* 1/4 x) 1/2)
(- (* x (+ 1/4 (* -1/8 x))) 1/2)
(- (* x (+ 1/4 (* -1/8 x))) 1/2)
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 1/4 (/ 1 x)) 1/8))
(* (pow x 2) (- (* 1/4 (/ 1 x)) (+ 1/8 (/ 1/2 (pow x 2)))))
(* (pow x 2) (- (* 1/4 (/ 1 x)) (+ 1/8 (/ 1/2 (pow x 2)))))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 1/4 (/ 1 x)) 1/8))
(* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/4) x)) 1/8))
(* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/4) x)) 1/8))
1/4
(+ 1/4 (* -1/8 x))
(+ 1/4 (* -1/8 x))
(+ 1/4 (* -1/8 x))
(* -1/8 x)
(* x (- (* 1/4 (/ 1 x)) 1/8))
(* x (- (* 1/4 (/ 1 x)) 1/8))
(* x (- (* 1/4 (/ 1 x)) 1/8))
(* -1/8 x)
(* -1 (* x (- 1/8 (* 1/4 (/ 1 x)))))
(* -1 (* x (- 1/8 (* 1/4 (/ 1 x)))))
(* -1 (* x (- 1/8 (* 1/4 (/ 1 x)))))
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* 1/2 x)) x)
1/2
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
1/2
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
1
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* -1/4 x)
(* x (- (* -1/8 x) 1/4))
(* x (- (* x (- (* -1/16 x) 1/8)) 1/4))
(* x (- (* x (- (* x (- (* -1/32 x) 1/16)) 1/8)) 1/4))
1/2
(+ 1/2 (/ 1 x))
(+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2))))
(+ 1/2 (+ (/ 1 x) (+ (* 4 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))
1/2
(+ 1/2 (/ 1 x))
(+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2))))
(+ 1/2 (* -1 (/ (- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) x)))
(/ -4 x)
(/ (- (* 2 x) 4) x)
(/ (- (* 2 x) 4) x)
(/ (- (* 2 x) 4) x)
2
(- 2 (* 4 (/ 1 x)))
(- 2 (* 4 (/ 1 x)))
(- 2 (* 4 (/ 1 x)))
2
(- 2 (* 4 (/ 1 x)))
(- 2 (* 4 (/ 1 x)))
(- 2 (* 4 (/ 1 x)))
(/ -4 x)
(/ -4 x)
(/ -4 x)
(/ -4 x)
(/ -4 x)
(/ -4 x)
(/ -4 x)
(/ -4 x)
(/ -4 x)
(/ -4 x)
(/ -4 x)
(/ -4 x)
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(* -1/720 (pow x 3))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))
(/ 1 (pow x 2))
(/ (+ 1 (* 1/2 x)) (pow x 2))
(/ (+ 1 (* 1/2 x)) (pow x 2))
(/ (+ 1 (* 1/2 x)) (pow x 2))
(/ 1/2 x)
(/ (+ 1/2 (/ 1 x)) x)
(/ (+ 1/2 (/ 1 x)) x)
(/ (+ 1/2 (/ 1 x)) x)
(/ 1/2 x)
(/ (+ 1/2 (/ 1 x)) x)
(/ (+ 1/2 (/ 1 x)) x)
(/ (+ 1/2 (/ 1 x)) x)
(/ 1 (pow x 2))
(/ (+ 1 (* 1/2 x)) (pow x 2))
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) (pow x 2))
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) (pow x 2))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(* (pow x 2) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(* (pow x 2) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* 1/2 x)) x)
1/2
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
1/2
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
(+ 1/2 (/ 1 x))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/4 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2))))
(* -1/8 (pow x 4))
(* (pow x 4) (- (* 1/4 (/ 1 x)) 1/8))
(* (pow x 4) (- (* 1/4 (/ 1 x)) (+ 1/8 (/ 1/2 (pow x 2)))))
(* (pow x 4) (- (+ (* 1/4 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/8 (/ 1/2 (pow x 2)))))
(* -1/8 (pow x 4))
(* (pow x 4) (- (* 1/4 (/ 1 x)) 1/8))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/4) x)) 1/8))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/4) x)) 1/8))
1/12
(+ 1/12 (* -1/720 (pow x 2)))
(+ 1/12 (* -1/720 (pow x 2)))
(+ 1/12 (* -1/720 (pow x 2)))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))

Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ (+ 1 (* x (+ 1/2 (* 1/16 (pow x 3))))) x)
(/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/16 binary64) (.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* (pow x 3) (+ 1/16 (* 1/32 x)))))) x)
(/.f64 (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x #s(literal 1/32 binary64) #s(literal 1/16 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ -8 (pow x 4))
(/.f64 #s(literal -8 binary64) (.f64 x (.f64 x (*.f64 x x))))
(* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 4)))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -16 binary64) x)) (.f64 x (.f64 x (*.f64 x x))))
(/ (- (* -1 (/ (+ 16 (* 128 (/ 1 (pow x 3)))) x)) 8) (pow x 4))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (+.f64 #s(literal -16 binary64) (/.f64 #s(literal -128 binary64) (.f64 x (.f64 x x)))) x)) (.f64 x (.f64 x (*.f64 x x))))
(/ (- (* -1 (/ (+ 128 (* 256 (/ 1 x))) (pow x 4))) (+ 8 (* 16 (/ 1 x)))) (pow x 4))
(/.f64 (+.f64 (/.f64 (-.f64 #s(literal -128 binary64) (/.f64 #s(literal 256 binary64) x)) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -16 binary64) x))) (.f64 x (.f64 x (.f64 x x))))
(/ -8 (pow x 4))
(/.f64 #s(literal -8 binary64) (.f64 x (.f64 x (*.f64 x x))))
(* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 4)))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -16 binary64) x)) (.f64 x (.f64 x (*.f64 x x))))
(/ (- (* -1 (/ (+ 16 (* 128 (/ 1 (pow x 3)))) x)) 8) (pow x 4))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (+.f64 #s(literal -16 binary64) (/.f64 #s(literal -128 binary64) (.f64 x (.f64 x x)))) x)) (.f64 x (.f64 x (*.f64 x x))))
(/ (- (* -1 (/ (+ 16 (+ (* 128 (/ 1 (pow x 3))) (/ 256 (pow x 4)))) x)) 8) (pow x 4))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (+.f64 (+.f64 #s(literal -16 binary64) (/.f64 #s(literal -128 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal -256 binary64) (.f64 x (.f64 x (.f64 x x))))) x)) (.f64 x (.f64 x (.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 x))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* 1/4 x) 1/2)))
(fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* -1/8 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/8 binary64))))
(* (pow x 3) (- (* 1/4 (/ 1 x)) 1/8))
(.f64 x (.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64))))
(* (pow x 3) (- (* 1/4 (/ 1 x)) (+ 1/8 (/ 1/2 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) #s(literal 1/4 binary64)))
(* (pow x 3) (- (+ (* 1/4 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/8 (/ 1/2 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) #s(literal 1/4 binary64))))
(* -1/8 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -1/8 binary64))))
(* -1 (* (pow x 3) (- 1/8 (* 1/4 (/ 1 x)))))
(.f64 x (.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64))))
(* -1 (* (pow x 3) (+ 1/8 (* -1 (/ (- 1/4 (* 1/2 (/ 1 x))) x)))))
(.f64 (.f64 x x) (fma.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) #s(literal 1/4 binary64)))
(* -1 (* (pow x 3) (+ 1/8 (* -1 (/ (+ 1/4 (* -1 (/ (- 1/2 (/ 1 x)) x))) x)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) #s(literal 1/4 binary64))))
-1/2
#s(literal -1/2 binary64)
(- (* 1/4 x) 1/2)
(fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64))
(- (* x (+ 1/4 (* -1/8 x))) 1/2)
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))
(- (* x (+ 1/4 (* -1/8 x))) 1/2)
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* (pow x 2) (- (* 1/4 (/ 1 x)) 1/8))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)))
(* (pow x 2) (- (* 1/4 (/ 1 x)) (+ 1/8 (/ 1/2 (pow x 2)))))
(.f64 x (fma.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) #s(literal 1/4 binary64)))
(* (pow x 2) (- (* 1/4 (/ 1 x)) (+ 1/8 (/ 1/2 (pow x 2)))))
(.f64 x (fma.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) #s(literal 1/4 binary64)))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* (pow x 2) (- (* 1/4 (/ 1 x)) 1/8))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)))
(* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/4) x)) 1/8))
(.f64 x (fma.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) #s(literal 1/4 binary64)))
(* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/4) x)) 1/8))
(.f64 x (fma.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) #s(literal 1/4 binary64)))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -1/8 x))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64))
(+ 1/4 (* -1/8 x))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64))
(+ 1/4 (* -1/8 x))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* x (- (* 1/4 (/ 1 x)) 1/8))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64))
(* x (- (* 1/4 (/ 1 x)) 1/8))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64))
(* x (- (* 1/4 (/ 1 x)) 1/8))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1 (* x (- 1/8 (* 1/4 (/ 1 x)))))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64))
(* -1 (* x (- 1/8 (* 1/4 (/ 1 x)))))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64))
(* -1 (* x (- 1/8 (* 1/4 (/ 1 x)))))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* x (- (* -1/8 x) 1/4))
(*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/4 binary64)))
(* x (- (* x (- (* -1/16 x) 1/8)) 1/4))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/4 binary64)))
(* x (- (* x (- (* x (- (* -1/32 x) 1/16)) 1/8)) 1/4))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/32 binary64) #s(literal -1/16 binary64)) #s(literal -1/8 binary64)) #s(literal -1/4 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(+ 1/2 (+ (/ 1 x) (+ (* 4 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x (*.f64 x x))) #s(literal 1/2 binary64))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (+ (/ 1 x) (/ 2 (pow x 2))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(+ 1/2 (* -1 (/ (- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) x)) x)) x))
(/ -4 x)
(/.f64 #s(literal -4 binary64) x)
(/ (- (* 2 x) 4) x)
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x))
(/ (- (* 2 x) 4) x)
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x))
(/ (- (* 2 x) 4) x)
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x))
2
#s(literal 2 binary64)
(- 2 (* 4 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x))
(- 2 (* 4 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x))
(- 2 (* 4 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x))
2
#s(literal 2 binary64)
(- 2 (* 4 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x))
(- 2 (* 4 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x))
(- 2 (* 4 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x))
(/ -4 x)
(/.f64 #s(literal -4 binary64) x)
(/ -4 x)
(/.f64 #s(literal -4 binary64) x)
(/ -4 x)
(/.f64 #s(literal -4 binary64) x)
(/ -4 x)
(/.f64 #s(literal -4 binary64) x)
(/ -4 x)
(/.f64 #s(literal -4 binary64) x)
(/ -4 x)
(/.f64 #s(literal -4 binary64) x)
(/ -4 x)
(/.f64 #s(literal -4 binary64) x)
(/ -4 x)
(/.f64 #s(literal -4 binary64) x)
(/ -4 x)
(/.f64 #s(literal -4 binary64) x)
(/ -4 x)
(/.f64 #s(literal -4 binary64) x)
(/ -4 x)
(/.f64 #s(literal -4 binary64) x)
(/ -4 x)
(/.f64 #s(literal -4 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(* -1/720 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/720 binary64))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(.f64 x (+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x x)))))))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) (fma.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/12 binary64))))
(* -1/720 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/720 binary64))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(.f64 (.f64 x x) (fma.f64 x #s(literal -1/720 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x)))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 1/12 binary64)))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* 1/2 x)) (pow x 2))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x x))
(/ (+ 1 (* 1/2 x)) (pow x 2))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x x))
(/ (+ 1 (* 1/2 x)) (pow x 2))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x x))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (/ 1 x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x x))
(/ (+ 1/2 (/ 1 x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x x))
(/ (+ 1/2 (/ 1 x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x x))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (/ 1 x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x x))
(/ (+ 1/2 (/ 1 x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x x))
(/ (+ 1/2 (/ 1 x)) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* 1/2 x)) (pow x 2))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x x))
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) (pow x 2))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x))
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) (pow x 2))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x))
(* -1/720 (pow x 2))
(.f64 x (.f64 x #s(literal -1/720 binary64)))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))
(* (pow x 2) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))))))
(* (pow x 2) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(fma.f64 x (.f64 x #s(literal -1/720 binary64)) (fma.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)))
(* -1/720 (pow x 2))
(.f64 x (.f64 x #s(literal -1/720 binary64)))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))
(* (pow x 2) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(+.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))))))
(* (pow x 2) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(fma.f64 x (.f64 x #s(literal -1/720 binary64)) (fma.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/ (+ 1 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+ 1/2 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
x
(* x (+ 1 (* -1/2 x)))
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(* x (+ 1 (* x (- (* 1/4 x) 1/2))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* -1/8 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/8 binary64))
(* (pow x 4) (- (* 1/4 (/ 1 x)) 1/8))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/4 binary64) x)))
(* (pow x 4) (- (* 1/4 (/ 1 x)) (+ 1/8 (/ 1/2 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* (pow x 4) (- (+ (* 1/4 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/8 (/ 1/2 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) x)))
(* -1/8 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/8 binary64))
(* (pow x 4) (- (* 1/4 (/ 1 x)) 1/8))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/4 binary64) x)))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/4) x)) 1/8))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/4) x)) 1/8))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) x)))
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* -1/720 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))
(+ 1/12 (* -1/720 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))
(+ 1/12 (* -1/720 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))
(* -1/720 (pow x 2))
(.f64 x (.f64 x #s(literal -1/720 binary64)))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))
(* -1/720 (pow x 2))
(.f64 x (.f64 x #s(literal -1/720 binary64)))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))

eval154.0ms (1.8%)

Memory: 3.1MiB live, 275.2MiB allocated
Compiler: Compiled 34 843 to 2 721 computations (92.2% saved)

prune114.0ms (1.4%)

Memory

9.7MiB live, 209.1MiB allocated

Pruning

32 alts after pruning (23 fresh and 9 done)

	Pruned	Kept	Total
New	876	14	890
Fresh	3	9	12
Picked	3	2	5
Done	0	7	7
Total	882	32	914

Accuracy

100.0%

Counts

914 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.5%	(fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))))
✓	70.8%	(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
	34.5%	(fma.f64 x (+.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x x)) (fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64))) #s(literal 0 binary64))
✓	70.9%	(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
	3.1%	(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
	70.8%	(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
✓	70.4%	(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
	90.4%	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)
	69.1%	(/.f64 (+.f64 #s(literal 1 binary64) x) x)
	21.4%	(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -16 binary64) x)) (.f64 x (.f64 x (*.f64 x x))))
✓	97.1%	(/.f64 (exp.f64 x) x)
	90.5%	(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal 0 binary64)) x))
	90.5%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
✓	2.2%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x)))
	76.8%	(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/64 binary64) #s(literal 1/16 binary64)) (.f64 x #s(literal -1/32 binary64))) (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/512 binary64) #s(literal 1/64 binary64)))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	90.5%	(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (fma.f64 x (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/4 binary64)))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	76.8%	(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (fma.f64 x (.f64 (fma.f64 (.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/512 binary64) #s(literal 1/64 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/64 binary64) #s(literal 1/16 binary64)) (.f64 x #s(literal -1/32 binary64))))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	76.8%	(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64))) (.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
	83.7%	(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))
	25.6%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64))))))
✓	69.6%	(/.f64 #s(literal 1 binary64) x)
	83.7%	(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) x)))
	76.8%	(/.f64 #s(literal -1 binary64) (/.f64 (.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
✓	100.0%	(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
	17.1%	(/.f64 #s(literal -2 binary64) (*.f64 x x))
	23.5%	(/.f64 #s(literal -8 binary64) (.f64 x (.f64 x (*.f64 x x))))
✓	70.4%	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
	90.4%	(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
	2.3%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 x x #s(literal 0 binary64))))) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x)))
	37.8%	(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
	3.5%	(*.f64 x #s(literal 1/12 binary64))
✓	3.3%	#s(literal 1/2 binary64)

Compiler

Compiled 1 125 to 470 computations (58.2% saved)

regimes38.0ms (0.5%)

Memory

5.4MiB live, 42.4MiB allocated

Counts

46 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/12 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x)))
(/.f64 #s(literal -24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal -8 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64))))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal 0 binary64)) x))
(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/720 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -16 binary64) x)) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)
(fma.f64 x (+.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x x)) (fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64))) #s(literal 0 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64))) #s(literal 0 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 x x #s(literal 0 binary64))))) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (fma.f64 x (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/4 binary64)))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64))) (.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (fma.f64 x (.f64 (fma.f64 (.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/512 binary64) #s(literal 1/64 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/64 binary64) #s(literal 1/16 binary64)) (.f64 x #s(literal -1/32 binary64))))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 (.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/64 binary64) #s(literal 1/16 binary64)) (.f64 x #s(literal -1/32 binary64))) (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/512 binary64) #s(literal 1/64 binary64)))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (exp.f64 x) x)
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Outputs
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))

Calls

3 calls:

16.0ms	x
10.0ms	(exp.f64 x)
10.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Results

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes36.0ms (0.4%)

Memory

4.0MiB live, 41.3MiB allocated

Counts

43 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/12 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x)))
(/.f64 #s(literal -24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal -8 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64))))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal 0 binary64)) x))
(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/720 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -16 binary64) x)) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)
(fma.f64 x (+.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x x)) (fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64))) #s(literal 0 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64))) #s(literal 0 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 x x #s(literal 0 binary64))))) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (fma.f64 x (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/4 binary64)))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64))) (.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (fma.f64 x (.f64 (fma.f64 (.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/512 binary64) #s(literal 1/64 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/64 binary64) #s(literal 1/16 binary64)) (.f64 x #s(literal -1/32 binary64))))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 (.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/64 binary64) #s(literal 1/16 binary64)) (.f64 x #s(literal -1/32 binary64))) (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/512 binary64) #s(literal 1/64 binary64)))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (exp.f64 x) x)

Outputs
(/.f64 (exp.f64 x) x)
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))

Calls

3 calls:

13.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
11.0ms	x
9.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
99.2%	2	`x`
97.1%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
99.2%	2	`(exp.f64 x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes34.0ms (0.4%)

Memory

18.8MiB live, 57.0MiB allocated

Counts

42 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/12 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x)))
(/.f64 #s(literal -24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal -8 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64))))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal 0 binary64)) x))
(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/720 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -16 binary64) x)) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)
(fma.f64 x (+.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x x)) (fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64))) #s(literal 0 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64))) #s(literal 0 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 x x #s(literal 0 binary64))))) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (fma.f64 x (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/4 binary64)))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64))) (.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (fma.f64 x (.f64 (fma.f64 (.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/512 binary64) #s(literal 1/64 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/64 binary64) #s(literal 1/16 binary64)) (.f64 x #s(literal -1/32 binary64))))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 (.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/64 binary64) #s(literal 1/16 binary64)) (.f64 x #s(literal -1/32 binary64))) (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/512 binary64) #s(literal 1/64 binary64)))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x))))

Outputs

(/.f64 #s(literal -24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))

(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))

Calls

3 calls:

14.0ms	x
9.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
9.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
91.1%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
94.4%	2	`x`
91.1%	1	`(exp.f64 x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes16.0ms (0.2%)

Memory

-17.9MiB live, 26.6MiB allocated

Counts

38 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/12 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x)))
(/.f64 #s(literal -24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal -8 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64))))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal 0 binary64)) x))
(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/720 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -16 binary64) x)) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) x)
(fma.f64 x (+.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x x)) (fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64))) #s(literal 0 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 #s(literal -1/720 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64))) #s(literal 0 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 x x #s(literal 0 binary64))))) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (fma.f64 x (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/64 binary64) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/4 binary64)))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64))) (.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (fma.f64 x (.f64 (fma.f64 (.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/512 binary64) #s(literal 1/64 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/64 binary64) #s(literal 1/16 binary64)) (.f64 x #s(literal -1/32 binary64))))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))

Outputs

(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
91.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes19.0ms (0.2%)

Memory

-7.5MiB live, 31.7MiB allocated

Counts

23 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/12 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x)))
(/.f64 #s(literal -24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal -8 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64))))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))

Outputs
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))

Calls

3 calls:

7.0ms	x
6.0ms	(exp.f64 x)
5.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
90.5%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
90.5%	1	`(exp.f64 x)`
90.5%	1	`x`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes18.0ms (0.2%)

Memory

24.0MiB live, 24.0MiB allocated

Counts

22 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/12 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x)))
(/.f64 #s(literal -24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal -8 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64))))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 0 binary64)))

Outputs

(/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))

(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))

Calls

3 calls:

6.0ms	x
5.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
5.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
91.4%	2	`x`
91.4%	2	`(exp.f64 x)`
91.5%	3	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes14.0ms (0.2%)

Memory

-23.1MiB live, 15.1MiB allocated

Counts

18 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/12 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x)))
(/.f64 #s(literal -24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal -8 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))

Outputs
(/.f64 #s(literal -8 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)

Calls

2 calls:

7.0ms	(exp.f64 x)
5.0ms	x

Results

Accuracy	Segments	Branch
91.3%	2	`x`
91.3%	2	`(exp.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes10.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated

Counts

16 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/12 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x)))
(/.f64 #s(literal -24 binary64) (.f64 x (.f64 x (*.f64 x x))))

Outputs
(/.f64 #s(literal -24 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)

Calls

2 calls:

5.0ms	x
4.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
91.3%	2	`x`
91.3%	2	`(exp.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes14.0ms (0.2%)

Memory

-20.1MiB live, 18.1MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/12 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x)))

Outputs
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) x)))

Calls

3 calls:

5.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
5.0ms	x
4.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
83.7%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
83.7%	1	`(exp.f64 x)`
83.7%	1	`x`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes12.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated

Counts

13 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/12 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)

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

Calls

3 calls:

4.0ms	x
4.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
3.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
83.7%	1	`x`
83.7%	1	`(exp.f64 x)`
83.7%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes10.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB allocated

Counts

10 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/12 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))

Outputs
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))

Calls

3 calls:

4.0ms	x
3.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
3.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
84.7%	2	`x`
84.7%	2	`(exp.f64 x)`
84.7%	3	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes13.0ms (0.2%)

Memory

-38.8MiB live, 9.9MiB allocated

Counts

9 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/12 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)

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

Calls

2 calls:

9.0ms	x
3.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
83.9%	2	`x`
83.9%	2	`(exp.f64 x)`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes8.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/12 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)

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

Calls

3 calls:

3.0ms	x
2.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
2.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
70.4%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
70.4%	1	`x`
70.4%	1	`(exp.f64 x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes6.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/12 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)

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

Calls

3 calls:

2.0ms	x
2.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
2.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
69.6%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
69.6%	1	`x`
69.6%	1	`(exp.f64 x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes6.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/12 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))

Outputs
(*.f64 x #s(literal 1/12 binary64))

Calls

3 calls:

2.0ms	x
2.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
2.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
3.5%	1	`x`
3.5%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
3.5%	1	`(exp.f64 x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes5.0ms (0.1%)

Memory

-32.0MiB live, 6.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)

Outputs
#s(literal 1/2 binary64)

Calls

3 calls:

2.0ms	(exp.f64 x)
1.0ms	x
1.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
3.3%	1	`(exp.f64 x)`
3.3%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
3.3%	1	`x`

Compiler

Compiled 13 to 8 computations (38.5% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9228837712005096

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch2.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
1.0ms	-3.1470223697367224e+105	-3.897168423201671e+100

Samples

1.0ms

16×

valid

Compiler

Compiled 59 to 31 computations (47.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

ival-expm1: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9228837712005096

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9228837712005096

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch13.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-919294322326.4633	-0.08025197743504019

Samples

7.0ms

160×

valid

Compiler

Compiled 33 to 23 computations (30.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-exp: 2.0ms (47.9% of total)

ival-div: 1.0ms (23.9% of total)

ival-expm1: 1.0ms (23.9% of total)

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

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

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9228837712005096

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9228837712005096

Compiler

Compiled 10 to 9 computations (10% saved)

simplify10.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	238
1	84	238
2	86	238

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 (exp.f64 x) x) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal -1999999999999999876516601650563957080654054728944248956588832425077742983649199427273641055007816510603264 binary64)) (/.f64 #s(literal -24 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1 binary64) (/.f64 (.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
(if (<=.f64 x #s(literal -5908722711110091/72057594037927936 binary64)) (/.f64 #s(literal -24 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 x x)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(*.f64 x #s(literal 1/12 binary64))
#s(literal 1/2 binary64)

Outputs
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 #s(literal 0 binary64) x)))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 (exp.f64 x) x) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal -1999999999999999876516601650563957080654054728944248956588832425077742983649199427273641055007816510603264 binary64)) (/.f64 #s(literal -24 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1 binary64) (/.f64 (.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -1999999999999999876516601650563957080654054728944248956588832425077742983649199427273641055007816510603264 binary64)) (/.f64 #s(literal -24 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1 binary64) (/.f64 (.f64 x (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
(if (<=.f64 x #s(literal -5908722711110091/72057594037927936 binary64)) (/.f64 #s(literal -24 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 x x)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
(*.f64 x #s(literal 1/12 binary64))
#s(literal 1/2 binary64)

soundness1.9s (23.1%)

Memory

8.2MiB live, 1 131.3MiB allocated

Rules

13 526×	`accelerator-lowering-fma.f32`
13 526×	`accelerator-lowering-fma.f64`
10 384×	`accelerator-lowering-fma.f32`
10 384×	`accelerator-lowering-fma.f64`
8 770×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	30	13
2	185	13
3	1803	13
0	8778	9
0	96	661
1	249	660
2	686	640
3	2076	627
4	6062	589
0	8239	513
0	44	202
1	122	202
2	258	202
3	571	202
4	827	202
5	976	202
6	1003	202
7	1097	196
8	1514	196
9	1932	196
10	3331	196
11	4894	196
12	5180	196
13	5566	196
14	6116	196
15	6842	196
0	10190	150
0	31	134
1	221	114
2	1967	114
0	8347	99
0	37	140
1	260	140
2	2516	140
0	8205	122
0	224	1514
1	598	1468
2	1727	1458
3	5749	1320
0	8285	1235
0	19	56
1	121	56
2	991	56
0	8357	48
0	233	1358
1	660	1326
2	1697	1248
3	5019	1236
0	8315	1150

Stop Event

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

Compiler

Compiled 643 to 363 computations (43.5% saved)

preprocess110.0ms (1.3%)

Memory: 37.5MiB live, 196.5MiB allocated
Compiler: Compiled 512 to 160 computations (68.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

sample531.0ms (6.3%)

preprocess83.0ms (1%)

explain69.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize17.0ms (0.2%)

series2.0ms (0%)

rewrite358.0ms (4.3%)

simplify364.0ms (4.3%)

eval48.0ms (0.6%)

prune76.0ms (0.9%)

simplify14.0ms (0.2%)

localize69.0ms (0.8%)

series6.0ms (0.1%)

rewrite383.0ms (4.6%)

simplify254.0ms (3%)

eval94.0ms (1.1%)

prune82.0ms (1%)

simplify274.0ms (3.3%)

localize94.0ms (1.1%)

series10.0ms (0.1%)

rewrite426.0ms (5.1%)

simplify685.0ms (8.2%)

eval156.0ms (1.9%)

prune135.0ms (1.6%)

simplify293.0ms (3.5%)

localize231.0ms (2.8%)

series10.0ms (0.1%)

rewrite700.0ms (8.4%)

simplify313.0ms (3.7%)

eval154.0ms (1.8%)

prune114.0ms (1.4%)

regimes38.0ms (0.5%)

regimes36.0ms (0.4%)

regimes34.0ms (0.4%)

regimes16.0ms (0.2%)

regimes19.0ms (0.2%)

regimes18.0ms (0.2%)

regimes14.0ms (0.2%)

regimes10.0ms (0.1%)

regimes14.0ms (0.2%)

regimes12.0ms (0.1%)

regimes10.0ms (0.1%)

regimes13.0ms (0.2%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

bsearch2.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch13.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

soundness1.9s (23.1%)

preprocess110.0ms (1.3%)

end0.0ms (0%)

Profiling