Metrics for expq2 (section 3.11)

analyze1.0ms (0%)

Memory

2.3MiB live, 2.3MiB 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)

sample523.0ms (5.8%)

Memory

-11.2MiB live, 615.1MiB allocated

Samples

368.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 202.0ms

ival-exp: 70.0ms (34.6% of total)

ival-div: 53.0ms (26.2% of total)

ival-expm1: 45.0ms (22.2% of total)

ival->: 25.0ms (12.4% of total)

exact: 6.0ms (3% of total)

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

Bogosity

preprocess82.0ms (0.9%)

Memory

5.6MiB live, 49.3MiB 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))

explain65.0ms (0.7%)

Memory

17.1MiB live, 95.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
167	1	(-0.009984665504341926)	1	(0.026274910215776406)	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
0	0	-	0	-	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(exp.f64 x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`	cancellation	167	1

Confusion

	Predicted +	Predicted -
+	167	0
-	0	89

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	167	0	0
-	0	1	88

Precision?

0.9940476190476191

Recall?

1.0

Freqs

test

number	freq
0	89
1	167

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

22.0ms

512×

valid

Compiler

Compiled 50 to 24 computations (52% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-exp: 4.0ms (35.6% of total)

ival-div: 3.0ms (26.7% of total)

ival-expm1: 3.0ms (26.7% 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
▶	38.5%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify5.0ms (0.1%)

Memory

-34.1MiB live, 4.7MiB 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

25.3MiB live, 25.3MiB 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	40.2%	(-.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: 5.0ms

ival-div: 2.0ms (36.9% of total)

ival-exp: 2.0ms (36.9% of total)

ival-expm1: 1.0ms (18.5% 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

2.9MiB live, 2.9MiB 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)

rewrite335.0ms (3.7%)

Memory

-23.1MiB live, 411.2MiB 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)))

simplify369.0ms (4.1%)

Memory

23.6MiB live, 498.2MiB 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 (0.5%)

Memory: 5.0MiB live, 82.4MiB allocated
Compiler: Compiled 9 932 to 1 201 computations (87.9% saved)

prune73.0ms (0.8%)

Memory

-7.2MiB live, 69.6MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	408	6	414
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	409	6	415

Accuracy

100.0%

Counts

415 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.4%	(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)))
▶	66.3%	(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
	98.0%	(/.f64 (exp.f64 x) x)
▶	65.6%	(/.f64 #s(literal 1 binary64) x)
▶	100.0%	(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
▶	66.1%	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))

Compiler

Compiled 88 to 66 computations (25% saved)

simplify13.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB 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)

localize73.0ms (0.8%)

Memory

17.8MiB live, 56.2MiB 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	99.6%	(*.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	99.8%	(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%	(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(expm1.f64 (neg.f64 x))

Samples

47.0ms

256×

valid

Compiler

Compiled 85 to 20 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 6.0ms (26.8% of total)

const: 6.0ms (26.8% of total)

ival-add: 4.0ms (17.9% of total)

ival-div: 3.0ms (13.4% of total)

ival-expm1: 2.0ms (8.9% of total)

ival-neg: 1.0ms (4.5% of total)

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory

-36.5MiB live, 5.7MiB 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
13.0ms	x	@	0	(/ -1 (- (exp (neg x)) 1))
1.0ms	x	@	inf	(+ (* x 1/12) (+ (/ 1 x) 1/2))
1.0ms	x	@	inf	(/ -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))

rewrite581.0ms (6.5%)

Memory

16.6MiB live, 336.7MiB 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)

simplify457.0ms (5.1%)

Memory

-6.6MiB live, 262.7MiB 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%)

Memory: 9.2MiB live, 160.5MiB allocated
Compiler: Compiled 20 554 to 1 497 computations (92.7% saved)

prune350.0ms (3.9%)

Memory

-125.2MiB live, 180.7MiB allocated

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	733	10	743
Fresh	0	1	1
Picked	0	5	5
Done	0	0	0
Total	733	16	749

Accuracy

100.0%

Counts

749 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.4%	(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))))
	38.5%	(fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
✓	66.4%	(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)))
	38.7%	(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))
✓	66.3%	(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
▶	3.0%	(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))
▶	66.3%	(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
▶	98.0%	(/.f64 (exp.f64 x) x)
✓	65.6%	(/.f64 #s(literal 1 binary64) x)
▶	87.6%	(/.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)))
	84.4%	(/.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)))
	77.9%	(/.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)))
✓	66.1%	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
▶	3.3%	#s(literal 1/2 binary64)

Compiler

Compiled 285 to 204 computations (28.4% saved)

simplify337.0ms (3.8%)

Memory

-11.5MiB live, 347.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	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 1/12 binary64) #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	192	(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
✓	cost-diff	0	(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
✓	cost-diff	0	(exp.f64 x)
✓	cost-diff	0	(/.f64 (exp.f64 x) x)

Rules

7 072×	`accelerator-lowering-fma.f32`
7 072×	`accelerator-lowering-fma.f64`
2 048×	`-lowering-.f32`
2 048×	`-lowering-.f64`
1 072×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	110
1	60	110
2	159	110
3	287	110
4	512	110
5	686	110
6	1198	110
7	2190	110
8	3623	110
9	4942	110
10	5222	110
11	5514	110
12	6238	108
13	6979	108
14	7523	108
15	7715	108
16	7832	108
17	7879	108
18	7923	108
0	8019	91

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize74.0ms (0.8%)

Memory

4.2MiB live, 120.2MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	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 (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	99.7%	(/.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	99.9%	(fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	99.9%	(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
✓	accuracy	89.0%	(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
✓	accuracy	99.9%	(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(/.f64 (exp.f64 x) x)

Samples

42.0ms

256×

valid

Compiler

Compiled 96 to 26 computations (72.9% saved)

Precisions

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

ival-mult: 8.0ms (26.3% of total)

const: 8.0ms (26.3% of total)

ival-add: 6.0ms (19.7% of total)

ival-div: 5.0ms (16.4% of total)

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

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Counts

10 → 120

Calls

Call 1

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

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

Calls

30 calls:

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

rewrite429.0ms (4.8%)

Memory

16.0MiB live, 558.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 288×	`accelerator-lowering-fma.f32`
7 288×	`accelerator-lowering-fma.f64`
4 356×	`-lowering-.f32`
4 356×	`-lowering-.f64`
3 704×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	90
1	157	90
2	1359	90
0	8480	73

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 676

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 x) (-.f64 #s(literal 0 binary64) x)))
(-.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 #s(literal 1 binary64) (/.f64 (exp.f64 x) (-.f64 #s(literal 0 binary64) x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x)))))
(/.f64 (exp.f64 x) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.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))
(pow.f64 (*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x))) #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 #s(literal -1 binary64) (/.f64 (exp.f64 x) (-.f64 #s(literal 0 binary64) x)))
(*.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)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (exp.f64 x) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal -1/2 binary64)))
(exp.f64 x)
(-.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 x))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(+.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
(+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/144 binary64)) (fma.f64 x #s(literal 1/12 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/144 binary64)) (fma.f64 x #s(literal 1/12 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/144 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64)))))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/12 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))
(neg.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64) #s(literal 1/8 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/144 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal -1/24 binary64))))))
(neg.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/144 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64) #s(literal 1/8 binary64))) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/144 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal -1/24 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal 1/144 binary64) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) #s(literal 1/144 binary64) (.f64 x #s(literal -1/24 binary64)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 x x) #s(literal 1/144 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64) #s(literal 1/8 binary64)) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/144 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal -1/24 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) #s(literal 1/144 binary64) (.f64 x #s(literal -1/24 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/144 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/12 binary64) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64) #s(literal 1/8 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/144 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal -1/24 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) #s(literal 1/144 binary64) (.f64 x #s(literal -1/24 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal 1/144 binary64) #s(literal -1/4 binary64))) (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/144 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/144 binary64)) (fma.f64 x #s(literal 1/12 binary64) #s(literal -1/2 binary64))) (.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (fma.f64 x #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64) #s(literal 1/8 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/144 binary64) #s(literal 1/4 binary64)) (.f64 x #s(literal -1/24 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal 1/144 binary64) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/144 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/144 binary64)) (fma.f64 x #s(literal 1/12 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/12 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/144 binary64)) (fma.f64 x #s(literal 1/12 binary64) #s(literal -1/2 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 1/144 binary64)) (fma.f64 x #s(literal 1/12 binary64) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/12 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/12 binary64) #s(literal -1/2 binary64))) (.f64 (/.f64 (.f64 (*.f64 x x) #s(literal 1/144 binary64)) (fma.f64 x #s(literal 1/12 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/144 binary64)) (fma.f64 x #s(literal 1/12 binary64) #s(literal -1/2 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 1/144 binary64)) (fma.f64 x #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) (.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/12 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/144 binary64)) (fma.f64 x #s(literal 1/12 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/144 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/24 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x x) #s(literal 1/144 binary64) (*.f64 x #s(literal -1/24 binary64))))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/144 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/12 binary64) #s(literal -1/2 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 (.f64 x x) #s(literal 1/144 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/24 binary64))))))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) #s(literal 1/144 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/144 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/12 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/12 binary64) (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (.f64 x x)))) (.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))) x))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))) x))
(-.f64 (/.f64 (/.f64 (.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))))) (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x))
(-.f64 (/.f64 (.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))))) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/12 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 1/12 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(fma.f64 (*.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) (.f64 (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/12 binary64) (.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/12 binary64) (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x #s(literal 1/2 binary64))))
(fma.f64 (.f64 #s(literal 1/12 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) (.f64 (/.f64 (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)))))))
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(*.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))
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(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))
(+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))
(+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
(+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal -1/6 binary64) (.f64 x #s(literal 1/24 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (-.f64 #s(literal -1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x #s(literal 1/2 binary64)) #s(literal -1/6 binary64))
(fma.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
(neg.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64)))))))
(neg.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal -1/24 binary64) #s(literal -1/6 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64))) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (.f64 x #s(literal 1/144 binary64)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (.f64 x #s(literal 1/24 binary64))) (+.f64 #s(literal 1/36 binary64) (.f64 #s(literal -1/576 binary64) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (.f64 x #s(literal 1/144 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (.f64 x #s(literal 1/144 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))) (fma.f64 x #s(literal -1/24 binary64) #s(literal -1/6 binary64)))
(/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 #s(literal -1/576 binary64) (.f64 x x))) (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 x #s(literal -1/24 binary64) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/36 binary64) (.f64 #s(literal -1/576 binary64) (.f64 x x)))) (neg.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (.f64 (/.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (/.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) (.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (*.f64 x #s(literal 1/144 binary64))))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))))))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/24 binary64) #s(literal -1/6 binary64))))
(.f64 (+.f64 #s(literal 1/36 binary64) (.f64 #s(literal -1/576 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/6 binary64) (.f64 x #s(literal 1/24 binary64)))))

simplify422.0ms (4.7%)

Memory

15.1MiB live, 491.4MiB allocated

Algorithm

1×	egg-herbie

Rules

15 740×	`accelerator-lowering-fma.f32`
15 740×	`accelerator-lowering-fma.f64`
3 292×	`-lowering-.f32`
3 292×	`-lowering-.f64`
3 010×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	159	881
1	459	865
2	1216	845
3	3785	811
4	7632	811
0	8093	719

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

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)
1/2
(+ 1/2 (* 1/12 x))
(+ 1/2 (* 1/12 x))
(+ 1/2 (* 1/12 x))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (* 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
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/12 x))))
(+ 1 (* x (+ 1/2 (* 1/12 x))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 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))))
-1/6
(- (* 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)))

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

eval129.0ms (1.4%)

Memory: 15.7MiB live, 233.7MiB allocated
Compiler: Compiled 31 314 to 2 284 computations (92.7% saved)

prune175.0ms (2%)

Memory

-6.1MiB live, 254.9MiB allocated

Pruning

38 alts after pruning (29 fresh and 9 done)

	Pruned	Kept	Total
New	821	26	847
Fresh	3	3	6
Picked	1	4	5
Done	0	5	5
Total	825	38	863

Accuracy

100.0%

Counts

863 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.4%	(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))))
	38.5%	(fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
✓	66.4%	(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)))
	38.7%	(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))
✓	66.3%	(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
✓	3.0%	(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
	66.3%	(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) x)
✓	66.3%	(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
	87.4%	(/.f64 (/.f64 #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)))
	22.4%	(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (.f64 (.f64 x (*.f64 x x)) x))
✓	98.0%	(/.f64 (exp.f64 x) x)
✓	65.6%	(/.f64 #s(literal 1 binary64) x)
	87.6%	(/.f64 #s(literal -1 binary64) (fma.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) (-.f64 #s(literal 0 binary64) x)))
	77.6%	(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (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)))
▶	25.5%	(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
▶	75.9%	(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
	87.6%	(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) x) (/.f64 #s(literal 1 binary64) (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)))
	75.9%	(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
▶	87.6%	(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (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)))
▶	87.6%	(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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)))
	87.6%	(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 (*.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)))
	75.9%	(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
	75.9%	(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))) (-.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))) #s(literal -1 binary64)) #s(literal 0 binary64)))
	86.1%	(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
	73.2%	(/.f64 #s(literal -1 binary64) (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))) (-.f64 #s(literal -1 binary64) (.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 0 binary64)))
	24.4%	(/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/24 binary64)) #s(literal 0 binary64)))
	73.9%	(/.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 x (*.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) (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))))
	87.6%	(/.f64 #s(literal -1 binary64) (*.f64 (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))
	73.9%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (.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 #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) 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)))))
	45.7%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 (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)) (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) (/.f64 (*.f64 x 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)))))
	73.9%	(/.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 x (.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) (/.f64 #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)))))
	77.9%	(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
✓	100.0%	(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
	24.4%	(/.f64 #s(literal -24 binary64) (.f64 (.f64 x (*.f64 x x)) x))
✓	66.1%	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
	43.7%	(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (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)) (fma.f64 x (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)) #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 1 429 to 806 computations (43.6% saved)

simplify355.0ms (4%)

Memory

-11.4MiB live, 456.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
✓	cost-diff	128	(+.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))
✓	cost-diff	320	(fma.f64 (.f64 x x) #s(literal 1/576 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64))))
✓	cost-diff	320	(fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
✓	cost-diff	64	(fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
✓	cost-diff	0	(*.f64 x #s(literal 1/12 binary64))
✓	cost-diff	0	(fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (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 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (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 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (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 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (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)))

Rules

11 298×	`accelerator-lowering-fma.f32`
11 298×	`accelerator-lowering-fma.f64`
4 626×	`-lowering-.f32`
4 626×	`-lowering-.f64`
1 728×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	433
1	161	421
2	436	409
3	1125	409
4	2297	409
5	4056	409
6	5856	409
0	8160	346

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ -1 (+ (* x (+ (* x (+ (* x (/ (+ (* (* x x) 1/576) -1/36) (+ (* x 1/24) 1/6))) 1/2)) -1)) 0))
-1
(+ (* x (+ (* x (+ (* x (/ (+ (* (* x x) 1/576) -1/36) (+ (* x 1/24) 1/6))) 1/2)) -1)) 0)
x
(+ (* x (+ (* x (/ (+ (* (* x x) 1/576) -1/36) (+ (* x 1/24) 1/6))) 1/2)) -1)
(+ (* x (/ (+ (* (* x x) 1/576) -1/36) (+ (* x 1/24) 1/6))) 1/2)
(/ (+ (* (* x x) 1/576) -1/36) (+ (* x 1/24) 1/6))
(+ (* (* x x) 1/576) -1/36)
(* x x)
1/576
-1/36
(+ (* x 1/24) 1/6)
1/24
1/6
1/2
0
(* x 1/12)
x
1/12
(/ -1 (+ (* x (+ (* (* x x) (+ (* x 1/24) -1/6)) 0)) 0))
-1
(+ (* x (+ (* (* x x) (+ (* x 1/24) -1/6)) 0)) 0)
x
(+ (* (* x x) (+ (* x 1/24) -1/6)) 0)
(* x x)
(+ (* x 1/24) -1/6)
1/24
-1/6
0
(/ -1 (+ (* x (+ (* x (+ (* x (/ 1 (/ 1 (+ (* x 1/24) -1/6)))) 1/2)) -1)) 0))
-1
(+ (* x (+ (* x (+ (* x (/ 1 (/ 1 (+ (* x 1/24) -1/6)))) 1/2)) -1)) 0)
x
(+ (* x (+ (* x (/ 1 (/ 1 (+ (* x 1/24) -1/6)))) 1/2)) -1)
(+ (* x (/ 1 (/ 1 (+ (* x 1/24) -1/6)))) 1/2)
(/ 1 (/ 1 (+ (* x 1/24) -1/6)))
1
(/ 1 (+ (* x 1/24) -1/6))
(+ (* x 1/24) -1/6)
1/24
-1/6
1/2
0
(/ -1 (+ (* x (+ (* x (+ (* (* (+ (* (* x (* x x)) 1/13824) -1/216) x) (/ 1 (+ (* (* x x) 1/576) (+ 1/36 (* x 1/144))))) 1/2)) -1)) 0))
-1
(+ (* x (+ (* x (+ (* (* (+ (* (* x (* x x)) 1/13824) -1/216) x) (/ 1 (+ (* (* x x) 1/576) (+ 1/36 (* x 1/144))))) 1/2)) -1)) 0)
x
(+ (* x (+ (* (* (+ (* (* x (* x x)) 1/13824) -1/216) x) (/ 1 (+ (* (* x x) 1/576) (+ 1/36 (* x 1/144))))) 1/2)) -1)
(+ (* (* (+ (* (* x (* x x)) 1/13824) -1/216) x) (/ 1 (+ (* (* x x) 1/576) (+ 1/36 (* x 1/144))))) 1/2)
(* (+ (* (* x (* x x)) 1/13824) -1/216) x)
(+ (* (* x (* x x)) 1/13824) -1/216)
(* x (* x x))
(* x x)
1/13824
-1/216
(/ 1 (+ (* (* x x) 1/576) (+ 1/36 (* x 1/144))))
1
(+ (* (* x x) 1/576) (+ 1/36 (* x 1/144)))
1/576
(+ 1/36 (* x 1/144))
1/36
(* x 1/144)
1/144
1/2
0

Outputs
(/ -1 (+ (* x (+ (* x (+ (* x (/ (+ (* (* x x) 1/576) -1/36) (+ (* x 1/24) 1/6))) 1/2)) -1)) 0))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (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 x) 1/576) -1/36) (+ (* x 1/24) 1/6))) 1/2)) -1)) 0)
(fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (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 x) 1/576) -1/36) (+ (* x 1/24) 1/6))) 1/2)) -1)
(fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(+ (* x (/ (+ (* (* x x) 1/576) -1/36) (+ (* x 1/24) 1/6))) 1/2)
(fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(/ (+ (* (* x x) 1/576) -1/36) (+ (* x 1/24) 1/6))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(+ (* (* x x) 1/576) -1/36)
(fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))
(* x x)
(*.f64 x x)
1/576
#s(literal 1/576 binary64)
-1/36
#s(literal -1/36 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)
(* x 1/12)
(*.f64 x #s(literal 1/12 binary64))
x
1/12
#s(literal 1/12 binary64)
(/ -1 (+ (* x (+ (* (* x x) (+ (* x 1/24) -1/6)) 0)) 0))
(/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) #s(literal 0 binary64)))
-1
#s(literal -1 binary64)
(+ (* x (+ (* (* x x) (+ (* x 1/24) -1/6)) 0)) 0)
(fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 x (.f64 x x)) #s(literal 0 binary64))
x
(+ (* (* x x) (+ (* x 1/24) -1/6)) 0)
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64))
(* x x)
(*.f64 x x)
(+ (* 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)
0
#s(literal 0 binary64)
(/ -1 (+ (* x (+ (* x (+ (* x (/ 1 (/ 1 (+ (* 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 (/ 1 (/ 1 (+ (* 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 (/ 1 (/ 1 (+ (* 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 (/ 1 (/ 1 (+ (* 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))
(/ 1 (/ 1 (+ (* x 1/24) -1/6)))
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
1
#s(literal 1 binary64)
(/ 1 (+ (* x 1/24) -1/6))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 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 (+ (* x (+ (* x (+ (* (* (+ (* (* x (* x x)) 1/13824) -1/216) x) (/ 1 (+ (* (* x x) 1/576) (+ 1/36 (* x 1/144))))) 1/2)) -1)) 0))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal 1/144 binary64)) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
-1
#s(literal -1 binary64)
(+ (* x (+ (* x (+ (* (* (+ (* (* x (* x x)) 1/13824) -1/216) x) (/ 1 (+ (* (* x x) 1/576) (+ 1/36 (* x 1/144))))) 1/2)) -1)) 0)
(fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal 1/144 binary64)) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
x
(+ (* x (+ (* (* (+ (* (* x (* x x)) 1/13824) -1/216) x) (/ 1 (+ (* (* x x) 1/576) (+ 1/36 (* x 1/144))))) 1/2)) -1)
(fma.f64 x (fma.f64 x (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal 1/144 binary64)) #s(literal 1/36 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(+ (* (* (+ (* (* x (* x x)) 1/13824) -1/216) x) (/ 1 (+ (* (* x x) 1/576) (+ 1/36 (* x 1/144))))) 1/2)
(fma.f64 x (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal 1/144 binary64)) #s(literal 1/36 binary64))) #s(literal 1/2 binary64))
(* (+ (* (* x (* x x)) 1/13824) -1/216) x)
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64)))
(+ (* (* x (* x x)) 1/13824) -1/216)
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
1/13824
#s(literal 1/13824 binary64)
-1/216
#s(literal -1/216 binary64)
(/ 1 (+ (* (* x x) 1/576) (+ 1/36 (* x 1/144))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal 1/144 binary64)) #s(literal 1/36 binary64)))
1
#s(literal 1 binary64)
(+ (* (* x x) 1/576) (+ 1/36 (* x 1/144)))
(fma.f64 x (fma.f64 x #s(literal 1/576 binary64) #s(literal 1/144 binary64)) #s(literal 1/36 binary64))
1/576
#s(literal 1/576 binary64)
(+ 1/36 (* x 1/144))
(fma.f64 x #s(literal 1/144 binary64) #s(literal 1/36 binary64))
1/36
#s(literal 1/36 binary64)
(* x 1/144)
(*.f64 x #s(literal 1/144 binary64))
1/144
#s(literal 1/144 binary64)
1/2
#s(literal 1/2 binary64)
0
#s(literal 0 binary64)

localize204.0ms (2.3%)

Memory

12.5MiB live, 290.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(.f64 (fma.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) x)
✓	accuracy	99.6%	(fma.f64 (.f64 x x) #s(literal 1/576 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64))))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/144 binary64))
✓	accuracy	82.2%	(fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) #s(literal 1/2 binary64))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
✓	accuracy	99.8%	(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))
✓	accuracy	99.7%	(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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	99.8%	(fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
✓	accuracy	99.7%	(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64))
✓	accuracy	99.6%	(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/12 binary64))
✓	accuracy	99.8%	(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
✓	accuracy	99.7%	(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (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	99.5%	(fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))
✓	accuracy	89.3%	(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))

Samples

123.0ms

256×

valid

Compiler

Compiled 424 to 61 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

const: 33.0ms (36.3% of total)

ival-mult: 28.0ms (30.8% of total)

ival-add: 17.0ms (18.7% of total)

ival-div: 12.0ms (13.2% of total)

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

exact: 0.0ms (0% of total)

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

series20.0ms (0.2%)

Memory

-13.6MiB live, 24.3MiB allocated

Counts

24 → 288

Calls

Call 1

Inputs
#<alt (/ -1 (+ (* x (+ (* x (+ (* x (/ (+ (* (* x x) 1/576) -1/36) (+ (* x 1/24) 1/6))) 1/2)) -1)) 0))>
#<alt (+ (* x (+ (* x (+ (* x (/ (+ (* (* x x) 1/576) -1/36) (+ (* x 1/24) 1/6))) 1/2)) -1)) 0)>
#<alt (+ (* x (+ (* x (/ (+ (* (* x x) 1/576) -1/36) (+ (* x 1/24) 1/6))) 1/2)) -1)>
#<alt (+ (* x (/ (+ (* (* x x) 1/576) -1/36) (+ (* x 1/24) 1/6))) 1/2)>
#<alt (* x 1/12)>
#<alt (+ (* x (+ (* (* x x) (+ (* x 1/24) -1/6)) 0)) 0)>
#<alt (/ -1 (+ (* x (+ (* (* x x) (+ (* x 1/24) -1/6)) 0)) 0))>
#<alt (+ (* (* x x) (+ (* x 1/24) -1/6)) 0)>
#<alt (* x x)>
#<alt (/ 1 (/ 1 (+ (* x 1/24) -1/6)))>
#<alt (/ -1 (+ (* x (+ (* x (+ (* x (/ 1 (/ 1 (+ (* x 1/24) -1/6)))) 1/2)) -1)) 0))>
#<alt (+ (* x (+ (* x (+ (* x (/ 1 (/ 1 (+ (* x 1/24) -1/6)))) 1/2)) -1)) 0)>
#<alt (+ (* x (+ (* x (/ 1 (/ 1 (+ (* x 1/24) -1/6)))) 1/2)) -1)>
#<alt (+ (* (* (+ (* (* x (* x x)) 1/13824) -1/216) x) (/ 1 (+ (* (* x x) 1/576) (+ 1/36 (* x 1/144))))) 1/2)>
#<alt (+ (* (* x x) 1/576) (+ 1/36 (* x 1/144)))>
#<alt (+ 1/36 (* x 1/144))>
#<alt (/ -1 (+ (* x (+ (* x (+ (* (* (+ (* (* x (* x x)) 1/13824) -1/216) x) (/ 1 (+ (* (* x x) 1/576) (+ 1/36 (* x 1/144))))) 1/2)) -1)) 0))>
#<alt (/ (+ (* (* x x) 1/576) -1/36) (+ (* x 1/24) 1/6))>
#<alt (+ (* (* x x) 1/576) -1/36)>
#<alt (+ (* x 1/24) 1/6)>
#<alt (+ (* x 1/24) -1/6)>
#<alt (/ 1 (+ (* x 1/24) -1/6))>
#<alt (* x 1/144)>
#<alt (* (+ (* (* x (* x x)) 1/13824) -1/216) x)>

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 (* 1/144 (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 (* 1/12 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 (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/24 x) 1/6))>
#<alt (* (pow x 3) (- (* 1/24 x) 1/6))>
#<alt (* (pow x 3) (- (* 1/24 x) 1/6))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (/ 6 (pow x 3))>
#<alt (/ (+ 6 (* 3/2 x)) (pow x 3))>
#<alt (/ (+ 6 (* x (+ 3/2 (* 3/8 x)))) (pow x 3))>
#<alt (/ (+ 6 (* x (+ 3/2 (* x (+ 3/8 (* 3/32 x)))))) (pow x 3))>
#<alt (/ -24 (pow x 4))>
#<alt (* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))>
#<alt (/ (- (* -1 (/ (+ 96 (* 384 (/ 1 x))) x)) 24) (pow x 4))>
#<alt (/ (- (* -1 (/ (+ 384 (* 1536 (/ 1 x))) (pow x 2))) (+ 24 (* 96 (/ 1 x)))) (pow x 4))>
#<alt (/ -24 (pow x 4))>
#<alt (* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))>
#<alt (/ (- (* -1 (/ (+ 96 (* 384 (/ 1 x))) x)) 24) (pow x 4))>
#<alt (/ (- (* -1 (/ (+ 96 (+ (* 384 (/ 1 x)) (/ 1536 (pow x 2)))) x)) 24) (pow x 4))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/24 x) 1/6))>
#<alt (* (pow x 2) (- (* 1/24 x) 1/6))>
#<alt (* (pow x 2) (- (* 1/24 x) 1/6))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt -1/6>
#<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 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 1/36>
#<alt (+ 1/36 (* 1/144 x))>
#<alt (+ 1/36 (* x (+ 1/144 (* 1/576 x))))>
#<alt (+ 1/36 (* x (+ 1/144 (* 1/576 x))))>
#<alt (* 1/576 (pow x 2))>
#<alt (* (pow x 2) (+ 1/576 (* 1/144 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/576 (+ (/ 1/36 (pow x 2)) (* 1/144 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/576 (+ (/ 1/36 (pow x 2)) (* 1/144 (/ 1 x)))))>
#<alt (* 1/576 (pow x 2))>
#<alt (* (pow x 2) (+ 1/576 (* 1/144 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/576 (+ (/ 1/36 (pow x 2)) (* 1/144 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/576 (+ (/ 1/36 (pow x 2)) (* 1/144 (/ 1 x)))))>
#<alt 1/36>
#<alt (+ 1/36 (* 1/144 x))>
#<alt (+ 1/36 (* 1/144 x))>
#<alt (+ 1/36 (* 1/144 x))>
#<alt (* 1/144 x)>
#<alt (* x (+ 1/144 (* 1/36 (/ 1 x))))>
#<alt (* x (+ 1/144 (* 1/36 (/ 1 x))))>
#<alt (* x (+ 1/144 (* 1/36 (/ 1 x))))>
#<alt (* 1/144 x)>
#<alt (* x (+ 1/144 (* 1/36 (/ 1 x))))>
#<alt (* x (+ 1/144 (* 1/36 (/ 1 x))))>
#<alt (* x (+ 1/144 (* 1/36 (/ 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 (* 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 -1/6>
#<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 -1/36>
#<alt (- (* 1/576 (pow x 2)) 1/36)>
#<alt (- (* 1/576 (pow x 2)) 1/36)>
#<alt (- (* 1/576 (pow x 2)) 1/36)>
#<alt (* 1/576 (pow x 2))>
#<alt (* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))>
#<alt (* 1/576 (pow x 2))>
#<alt (* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<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 (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt -1/6>
#<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 -6>
#<alt (- (* -3/2 x) 6)>
#<alt (- (* x (- (* -3/8 x) 3/2)) 6)>
#<alt (- (* x (- (* x (- (* -3/32 x) 3/8)) 3/2)) 6)>
#<alt (/ 24 x)>
#<alt (/ (+ 24 (* 96 (/ 1 x))) x)>
#<alt (/ (+ 24 (+ (* 96 (/ 1 x)) (/ 384 (pow x 2)))) x)>
#<alt (/ (+ 24 (+ (* 96 (/ 1 x)) (+ (* 1536 (/ 1 (pow x 3))) (/ 384 (pow x 2))))) x)>
#<alt (/ 24 x)>
#<alt (/ (+ 24 (* 96 (/ 1 x))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 96 (* 384 (/ 1 x))) x)) 24) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 96 (+ (* 384 (/ 1 x)) (/ 1536 (pow x 2)))) x)) 24) x))>
#<alt (* 1/144 x)>
#<alt (* 1/144 x)>
#<alt (* 1/144 x)>
#<alt (* 1/144 x)>
#<alt (* 1/144 x)>
#<alt (* 1/144 x)>
#<alt (* 1/144 x)>
#<alt (* 1/144 x)>
#<alt (* 1/144 x)>
#<alt (* 1/144 x)>
#<alt (* 1/144 x)>
#<alt (* 1/144 x)>
#<alt (* -1/216 x)>
#<alt (* x (- (* 1/13824 (pow x 3)) 1/216))>
#<alt (* x (- (* 1/13824 (pow x 3)) 1/216))>
#<alt (* x (- (* 1/13824 (pow x 3)) 1/216))>
#<alt (* 1/13824 (pow x 4))>
#<alt (* (pow x 4) (- 1/13824 (* 1/216 (/ 1 (pow x 3)))))>
#<alt (* (pow x 4) (- 1/13824 (* 1/216 (/ 1 (pow x 3)))))>
#<alt (* (pow x 4) (- 1/13824 (* 1/216 (/ 1 (pow x 3)))))>
#<alt (* 1/13824 (pow x 4))>
#<alt (* (pow x 4) (- 1/13824 (* 1/216 (/ 1 (pow x 3)))))>
#<alt (* (pow x 4) (- 1/13824 (* 1/216 (/ 1 (pow x 3)))))>
#<alt (* (pow x 4) (- 1/13824 (* 1/216 (/ 1 (pow x 3)))))>

Calls

72 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(/ 1 (+ (* x 1/24) -1/6))
2.0ms	x	@	0	(* x x)
1.0ms	x	@	-inf	(+ (* (* (+ (* (* x (* x x)) 1/13824) -1/216) x) (/ 1 (+ (* (* x x) 1/576) (+ 1/36 (* x 1/144))))) 1/2)
1.0ms	x	@	inf	(+ (* (* (+ (* (* x (* x x)) 1/13824) -1/216) x) (/ 1 (+ (* (* x x) 1/576) (+ 1/36 (* x 1/144))))) 1/2)
0.0ms	x	@	inf	(+ (* x (+ (* (* x x) (+ (* x 1/24) -1/6)) 0)) 0)

rewrite393.0ms (4.4%)

Memory

35.1MiB live, 583.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 588×	`-lowering-.f32`
3 588×	`-lowering-.f64`
3 300×	`accelerator-lowering-fma.f32`
3 300×	`accelerator-lowering-fma.f64`
3 076×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	310
1	419	250
2	3987	250
0	8612	208

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 1 020

Calls

Call 1

Inputs
(/ -1 (+ (* x (+ (* x (+ (* x (/ (+ (* (* x x) 1/576) -1/36) (+ (* x 1/24) 1/6))) 1/2)) -1)) 0))
(+ (* x (+ (* x (+ (* x (/ (+ (* (* x x) 1/576) -1/36) (+ (* x 1/24) 1/6))) 1/2)) -1)) 0)
(+ (* x (+ (* x (/ (+ (* (* x x) 1/576) -1/36) (+ (* x 1/24) 1/6))) 1/2)) -1)
(+ (* x (/ (+ (* (* x x) 1/576) -1/36) (+ (* x 1/24) 1/6))) 1/2)
(* x 1/12)
(+ (* x (+ (* (* x x) (+ (* x 1/24) -1/6)) 0)) 0)
(/ -1 (+ (* x (+ (* (* x x) (+ (* x 1/24) -1/6)) 0)) 0))
(+ (* (* x x) (+ (* x 1/24) -1/6)) 0)
(* x x)
(/ 1 (/ 1 (+ (* x 1/24) -1/6)))
(/ -1 (+ (* x (+ (* x (+ (* x (/ 1 (/ 1 (+ (* x 1/24) -1/6)))) 1/2)) -1)) 0))
(+ (* x (+ (* x (+ (* x (/ 1 (/ 1 (+ (* x 1/24) -1/6)))) 1/2)) -1)) 0)
(+ (* x (+ (* x (/ 1 (/ 1 (+ (* x 1/24) -1/6)))) 1/2)) -1)
(+ (* (* (+ (* (* x (* x x)) 1/13824) -1/216) x) (/ 1 (+ (* (* x x) 1/576) (+ 1/36 (* x 1/144))))) 1/2)
(+ (* (* x x) 1/576) (+ 1/36 (* x 1/144)))
(+ 1/36 (* x 1/144))
(/ -1 (+ (* x (+ (* x (+ (* (* (+ (* (* x (* x x)) 1/13824) -1/216) x) (/ 1 (+ (* (* x x) 1/576) (+ 1/36 (* x 1/144))))) 1/2)) -1)) 0))
(/ (+ (* (* x x) 1/576) -1/36) (+ (* x 1/24) 1/6))
(+ (* (* x x) 1/576) -1/36)
(+ (* x 1/24) 1/6)
(+ (* x 1/24) -1/6)
(/ 1 (+ (* x 1/24) -1/6))
(* x 1/144)
(* (+ (* (* x (* x x)) 1/13824) -1/216) x)

Outputs
(exp.f64 (*.f64 (log.f64 (fma.f64 (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)) (neg.f64 x) #s(literal 0 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.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 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) (neg.f64 (fma.f64 (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)) (neg.f64 x) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (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)) (neg.f64 x) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 (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)) (neg.f64 x) #s(literal 0 binary64)))))
(/.f64 (/.f64 #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 (/.f64 #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))) x)
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (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 (neg.f64 (/.f64 #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)))) (neg.f64 x))
(pow.f64 (fma.f64 (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)) (neg.f64 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 (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 #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 (/.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))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (neg.f64 (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 -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (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 -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #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))) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 #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))) (pow.f64 (/.f64 x #s(literal -1 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 (.f64 (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)) (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)) #s(literal 0 binary64))) (fma.f64 x (*.f64 (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)) (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)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 (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)) (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 (pow.f64 (neg.f64 (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 -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #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 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 (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))
(+.f64 (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) (neg.f64 x))
(+.f64 (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) (+.f64 (neg.f64 x) #s(literal 0 binary64)))
(+.f64 (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) (-.f64 (neg.f64 x) #s(literal 0 binary64)))
(+.f64 (neg.f64 x) (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))
(+.f64 (+.f64 #s(literal 0 binary64) (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))) (neg.f64 x))
(-.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)) #s(literal 0 binary64))
(-.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)) (/.f64 #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))))
(fma.f64 #s(literal -1 binary64) x (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 x #s(literal -1 binary64) (.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 x))
(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) #s(literal 0 binary64)))
(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (-.f64 (neg.f64 x) #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))
(fma.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)) (neg.f64 x))
(fma.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)) (+.f64 (neg.f64 x) #s(literal 0 binary64)))
(fma.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)) (-.f64 (neg.f64 x) #s(literal 0 binary64)))
(fma.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) (neg.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 x x) (+.f64 (neg.f64 x) #s(literal 0 binary64)))
(fma.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) (-.f64 (neg.f64 x) #s(literal 0 binary64)))
(fma.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) x (neg.f64 x))
(fma.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) x (+.f64 (neg.f64 x) #s(literal 0 binary64)))
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(.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))) #s(literal 1 binary64)) (pow.f64 (-.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (.f64 x #s(literal 1/144 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/144 binary64)))))
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(exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 1 binary64)))
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(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
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(pow.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))) (-.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/144 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/144 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/191102976 binary64)) #s(literal -1/46656 binary64))) (-.f64 (fma.f64 #s(literal 1/331776 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1296 binary64)) (.f64 (*.f64 x x) #s(literal -1/20736 binary64))))
(.f64 (/.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/331776 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/1296 binary64))) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (.f64 x #s(literal 1/144 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))
(.f64 (pow.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))) #s(literal 1 binary64)) (pow.f64 (-.f64 (fma.f64 x (.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/144 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/191102976 binary64)) #s(literal -1/46656 binary64))) #s(literal 1 binary64)) (pow.f64 (-.f64 (fma.f64 #s(literal 1/331776 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1296 binary64)) (.f64 (*.f64 x x) #s(literal -1/20736 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/331776 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/1296 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal 1/36 binary64)) #s(literal 1 binary64)))
(*.f64 x #s(literal 1/144 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 1/24 binary64)))
(*.f64 #s(literal 1/144 binary64) x)
(+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)))) (*.f64 x #s(literal -1/216 binary64)))
(+.f64 (.f64 x #s(literal -1/216 binary64)) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)))))
(+.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64))) x) (*.f64 #s(literal -1/216 binary64) x))
(+.f64 (.f64 #s(literal -1/216 binary64) x) (.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64))) x))
(fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64))) (.f64 x #s(literal -1/216 binary64)))
(fma.f64 x #s(literal -1/216 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)))))
(fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64))) x (.f64 #s(literal -1/216 binary64) x))
(fma.f64 #s(literal -1/216 binary64) x (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64))) x))
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/2641807540224 binary64)) #s(literal -1/10077696 binary64))) (-.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/191102976 binary64)) #s(literal 1/46656 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/2985984 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/191102976 binary64)) #s(literal -1/46656 binary64))) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/2641807540224 binary64)) #s(literal -1/10077696 binary64)) x) (-.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/191102976 binary64)) #s(literal 1/46656 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/2985984 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/191102976 binary64)) #s(literal -1/46656 binary64)) x) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/2641807540224 binary64)) #s(literal -1/10077696 binary64)))) (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/191102976 binary64)) #s(literal 1/46656 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/2985984 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/2641807540224 binary64)) #s(literal -1/10077696 binary64)) x)) (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/191102976 binary64)) #s(literal 1/46656 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/2985984 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/191102976 binary64)) #s(literal -1/46656 binary64)) x)) (neg.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/191102976 binary64)) #s(literal -1/46656 binary64)))) (neg.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64)))
(.f64 x (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))))
(.f64 (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64)) x)
(.f64 (.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))) #s(literal 1 binary64))

simplify564.0ms (6.3%)

Memory

-4.2MiB live, 782.2MiB allocated

Algorithm

1×	egg-herbie

Rules

18 180×	`accelerator-lowering-fma.f32`
18 180×	`accelerator-lowering-fma.f64`
4 500×	`+-lowering-+.f64`
4 500×	`+-lowering-+.f32`
4 444×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	245	2240
1	658	2189
2	1650	2138
3	4104	2114
0	8295	1941

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

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 (* 1/144 (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))))
(* 1/12 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)
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/24 x) 1/6))
(* (pow x 3) (- (* 1/24 x) 1/6))
(* (pow x 3) (- (* 1/24 x) 1/6))
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(/ 6 (pow x 3))
(/ (+ 6 (* 3/2 x)) (pow x 3))
(/ (+ 6 (* x (+ 3/2 (* 3/8 x)))) (pow x 3))
(/ (+ 6 (* x (+ 3/2 (* x (+ 3/8 (* 3/32 x)))))) (pow x 3))
(/ -24 (pow x 4))
(* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))
(/ (- (* -1 (/ (+ 96 (* 384 (/ 1 x))) x)) 24) (pow x 4))
(/ (- (* -1 (/ (+ 384 (* 1536 (/ 1 x))) (pow x 2))) (+ 24 (* 96 (/ 1 x)))) (pow x 4))
(/ -24 (pow x 4))
(* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))
(/ (- (* -1 (/ (+ 96 (* 384 (/ 1 x))) x)) 24) (pow x 4))
(/ (- (* -1 (/ (+ 96 (+ (* 384 (/ 1 x)) (/ 1536 (pow x 2)))) x)) 24) (pow x 4))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/24 x) 1/6))
(* (pow x 2) (- (* 1/24 x) 1/6))
(* (pow x 2) (- (* 1/24 x) 1/6))
(* 1/24 (pow x 3))
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))
(* 1/24 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
-1/6
(- (* 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 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))))
1/36
(+ 1/36 (* 1/144 x))
(+ 1/36 (* x (+ 1/144 (* 1/576 x))))
(+ 1/36 (* x (+ 1/144 (* 1/576 x))))
(* 1/576 (pow x 2))
(* (pow x 2) (+ 1/576 (* 1/144 (/ 1 x))))
(* (pow x 2) (+ 1/576 (+ (/ 1/36 (pow x 2)) (* 1/144 (/ 1 x)))))
(* (pow x 2) (+ 1/576 (+ (/ 1/36 (pow x 2)) (* 1/144 (/ 1 x)))))
(* 1/576 (pow x 2))
(* (pow x 2) (+ 1/576 (* 1/144 (/ 1 x))))
(* (pow x 2) (+ 1/576 (+ (/ 1/36 (pow x 2)) (* 1/144 (/ 1 x)))))
(* (pow x 2) (+ 1/576 (+ (/ 1/36 (pow x 2)) (* 1/144 (/ 1 x)))))
1/36
(+ 1/36 (* 1/144 x))
(+ 1/36 (* 1/144 x))
(+ 1/36 (* 1/144 x))
(* 1/144 x)
(* x (+ 1/144 (* 1/36 (/ 1 x))))
(* x (+ 1/144 (* 1/36 (/ 1 x))))
(* x (+ 1/144 (* 1/36 (/ 1 x))))
(* 1/144 x)
(* x (+ 1/144 (* 1/36 (/ 1 x))))
(* x (+ 1/144 (* 1/36 (/ 1 x))))
(* x (+ 1/144 (* 1/36 (/ 1 x))))
(/ 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))
-1/6
(- (* 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)))
-1/36
(- (* 1/576 (pow x 2)) 1/36)
(- (* 1/576 (pow x 2)) 1/36)
(- (* 1/576 (pow x 2)) 1/36)
(* 1/576 (pow x 2))
(* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(* 1/576 (pow x 2))
(* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
1/6
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(* 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)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 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)))
-6
(- (* -3/2 x) 6)
(- (* x (- (* -3/8 x) 3/2)) 6)
(- (* x (- (* x (- (* -3/32 x) 3/8)) 3/2)) 6)
(/ 24 x)
(/ (+ 24 (* 96 (/ 1 x))) x)
(/ (+ 24 (+ (* 96 (/ 1 x)) (/ 384 (pow x 2)))) x)
(/ (+ 24 (+ (* 96 (/ 1 x)) (+ (* 1536 (/ 1 (pow x 3))) (/ 384 (pow x 2))))) x)
(/ 24 x)
(/ (+ 24 (* 96 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (+ 96 (* 384 (/ 1 x))) x)) 24) x))
(* -1 (/ (- (* -1 (/ (+ 96 (+ (* 384 (/ 1 x)) (/ 1536 (pow x 2)))) x)) 24) x))
(* 1/144 x)
(* 1/144 x)
(* 1/144 x)
(* 1/144 x)
(* 1/144 x)
(* 1/144 x)
(* 1/144 x)
(* 1/144 x)
(* 1/144 x)
(* 1/144 x)
(* 1/144 x)
(* 1/144 x)
(* -1/216 x)
(* x (- (* 1/13824 (pow x 3)) 1/216))
(* x (- (* 1/13824 (pow x 3)) 1/216))
(* x (- (* 1/13824 (pow x 3)) 1/216))
(* 1/13824 (pow x 4))
(* (pow x 4) (- 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(* (pow x 4) (- 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(* (pow x 4) (- 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(* 1/13824 (pow x 4))
(* (pow x 4) (- 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(* (pow x 4) (- 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(* (pow x 4) (- 1/13824 (* 1/216 (/ 1 (pow x 3)))))

Outputs
(/ 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 (.f64 x (*.f64 x x)) x))
(* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (.f64 (.f64 x (*.f64 x 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 (.f64 x (*.f64 x 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 (.f64 x (.f64 x x)) x))
(/ -24 (pow x 4))
(/.f64 #s(literal -24 binary64) (.f64 (.f64 x (*.f64 x x)) x))
(* -1 (/ (+ 24 (* 96 (/ 1 x))) (pow x 4)))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (.f64 (.f64 x (*.f64 x 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 (.f64 x (*.f64 x x)) x))
(/ (- (* -1 (/ (+ 96 (* -1 (/ (- (* 192 (/ 1 x)) 96) x))) x)) 24) (pow x 4))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 192 binary64) x) #s(literal -96 binary64)) x) #s(literal -96 binary64)) x)) (.f64 (.f64 x (*.f64 x 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 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64)))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 (.f64 x (.f64 x 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 (.f64 x (.f64 x 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 (.f64 x (.f64 x 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 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64)))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(.f64 (.f64 (.f64 x (.f64 x 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 (.f64 x (.f64 x 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 (.f64 x (.f64 x 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 (.f64 x (*.f64 x x)) #s(literal 1/24 binary64))
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))
(.f64 x (.f64 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 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 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))
(.f64 x (.f64 x (fma.f64 x (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) #s(literal -1/6 binary64))))
(* 1/24 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/24 binary64))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))
(.f64 x (.f64 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 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 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24)))
(.f64 x (.f64 x (fma.f64 x (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) #s(literal -1/6 binary64))))
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 x (.f64 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 x (.f64 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))))
(* 1/12 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))
(* -1/6 (pow x 3))
(.f64 (.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
(* (pow x 3) (- (* 1/24 x) 1/6))
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(/ (- (* -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 (.f64 x (*.f64 x x)) x))
(/ (- (* -1 (/ (+ 96 (* -1 (/ (- (* 192 (/ 1 x)) 96) x))) x)) 24) (pow x 4))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 192 binary64) x) #s(literal -96 binary64)) x) #s(literal -96 binary64)) x)) (.f64 (.f64 x (*.f64 x x)) 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))
-1/36
#s(literal -1/36 binary64)
(- (* 1/576 (pow x 2)) 1/36)
(fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))
(- (* 1/576 (pow x 2)) 1/36)
(fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))
(- (* 1/576 (pow x 2)) 1/36)
(fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))
(* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))
(* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))
(* 1/576 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/576 binary64))
(* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))
(* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))
(* (pow x 2) (- 1/576 (* 1/36 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/24 x))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* 1/24 x))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* 1/24 x))
(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))
(* 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))
-1/6
#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))
-6
#s(literal -6 binary64)
(- (* -3/2 x) 6)
(fma.f64 x #s(literal -3/2 binary64) #s(literal -6 binary64))
(- (* x (- (* -3/8 x) 3/2)) 6)
(fma.f64 x (fma.f64 x #s(literal -3/8 binary64) #s(literal -3/2 binary64)) #s(literal -6 binary64))
(- (* x (- (* x (- (* -3/32 x) 3/8)) 3/2)) 6)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/32 binary64) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) #s(literal -6 binary64))
(/ 24 x)
(/.f64 #s(literal 24 binary64) x)
(/ (+ 24 (* 96 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal 96 binary64) x)) x)
(/ (+ 24 (+ (* 96 (/ 1 x)) (/ 384 (pow x 2)))) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 96 binary64) (/.f64 #s(literal 384 binary64) x)) #s(literal 24 binary64)) x)
(/ (+ 24 (+ (* 96 (/ 1 x)) (+ (* 1536 (/ 1 (pow x 3))) (/ 384 (pow x 2))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 96 binary64) x) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 384 binary64) (/.f64 #s(literal 1536 binary64) x)) #s(literal 24 binary64))) x)
(/ 24 x)
(/.f64 #s(literal 24 binary64) x)
(/ (+ 24 (* 96 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal 96 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (+ 96 (* 384 (/ 1 x))) x)) 24) x))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 (+.f64 #s(literal 96 binary64) (/.f64 #s(literal 384 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (+ 96 (+ (* 384 (/ 1 x)) (/ 1536 (pow x 2)))) x)) 24) x))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 384 binary64) (/.f64 #s(literal 1536 binary64) x)) #s(literal 96 binary64)) x)) x)
(* 1/144 x)
(*.f64 x #s(literal 1/144 binary64))
(* 1/144 x)
(*.f64 x #s(literal 1/144 binary64))
(* 1/144 x)
(*.f64 x #s(literal 1/144 binary64))
(* 1/144 x)
(*.f64 x #s(literal 1/144 binary64))
(* 1/144 x)
(*.f64 x #s(literal 1/144 binary64))
(* 1/144 x)
(*.f64 x #s(literal 1/144 binary64))
(* 1/144 x)
(*.f64 x #s(literal 1/144 binary64))
(* 1/144 x)
(*.f64 x #s(literal 1/144 binary64))
(* 1/144 x)
(*.f64 x #s(literal 1/144 binary64))
(* 1/144 x)
(*.f64 x #s(literal 1/144 binary64))
(* 1/144 x)
(*.f64 x #s(literal 1/144 binary64))
(* 1/144 x)
(*.f64 x #s(literal 1/144 binary64))
(* -1/216 x)
(*.f64 x #s(literal -1/216 binary64))
(* x (- (* 1/13824 (pow x 3)) 1/216))
(.f64 x (fma.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)))
(* x (- (* 1/13824 (pow x 3)) 1/216))
(.f64 x (fma.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)))
(* x (- (* 1/13824 (pow x 3)) 1/216))
(.f64 x (fma.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)))
(* 1/13824 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))
(* (pow x 4) (- 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (-.f64 #s(literal 1/13824 binary64) (/.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))))
(* (pow x 4) (- 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (-.f64 #s(literal 1/13824 binary64) (/.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))))
(* (pow x 4) (- 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (-.f64 #s(literal 1/13824 binary64) (/.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))))
(* 1/13824 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))
(* (pow x 4) (- 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (-.f64 #s(literal 1/13824 binary64) (/.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))))
(* (pow x 4) (- 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (-.f64 #s(literal 1/13824 binary64) (/.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))))
(* (pow x 4) (- 1/13824 (* 1/216 (/ 1 (pow x 3)))))
(.f64 (.f64 (.f64 x (.f64 x x)) x) (-.f64 #s(literal 1/13824 binary64) (/.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))))

eval249.0ms (2.8%)

Memory: 18.2MiB live, 487.3MiB allocated
Compiler: Compiled 47 829 to 4 772 computations (90% saved)

prune180.0ms (2%)

Memory

25.2MiB live, 339.1MiB allocated

Pruning

32 alts after pruning (22 fresh and 10 done)

	Pruned	Kept	Total
New	1 458	14	1 472
Fresh	16	8	24
Picked	4	1	5
Done	0	9	9
Total	1 478	32	1 510

Accuracy

100.0%

Counts

1 510 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.4%	(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))))
	38.5%	(fma.f64 x (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
✓	66.4%	(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)))
	38.7%	(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))
✓	66.3%	(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
✓	3.0%	(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
	66.3%	(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) x)
✓	66.3%	(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
	24.1%	(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64))) x)
	87.4%	(/.f64 (/.f64 #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)))
	22.4%	(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (.f64 (.f64 x (*.f64 x x)) x))
✓	98.0%	(/.f64 (exp.f64 x) x)
	23.2%	(/.f64 #s(literal 6 binary64) (.f64 x (.f64 x x)))
✓	65.6%	(/.f64 #s(literal 1 binary64) x)
	87.6%	(/.f64 #s(literal -1 binary64) (fma.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) (neg.f64 x)))
	24.4%	(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/24 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
	91.5%	(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) x) (/.f64 #s(literal 1 binary64) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
	89.3%	(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
	87.6%	(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (-.f64 (*.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)))
	25.5%	(/.f64 #s(literal -1 binary64) (fma.f64 x (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 0 binary64)))
	10.6%	(/.f64 #s(literal -1 binary64) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64)) (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64))))
	87.6%	(/.f64 #s(literal -1 binary64) (*.f64 (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))
	26.2%	(/.f64 #s(literal -1 binary64) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x))))
	26.2%	(/.f64 #s(literal -1 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x x)))
	24.4%	(/.f64 #s(literal -1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64))))
	26.2%	(/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))
✓	100.0%	(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
	24.4%	(/.f64 #s(literal -24 binary64) (.f64 (.f64 x (*.f64 x x)) x))
✓	66.1%	(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
	7.6%	(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64)) (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
✓	3.5%	(*.f64 x #s(literal 1/12 binary64))
✓	3.3%	#s(literal 1/2 binary64)

Compiler

Compiled 1 441 to 508 computations (64.7% saved)

regimes51.0ms (0.6%)

Memory

1.6MiB live, 118.2MiB allocated

Counts

57 → 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))
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 6 binary64) (.f64 x (.f64 x x)))
(/.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 -24 binary64) (.f64 (.f64 x (*.f64 x x)) x))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) 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)))
(/.f64 #s(literal -1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/24 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) (.f64 x (.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/24 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/24 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (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))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 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 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 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 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 (*.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 x (fma.f64 x (fma.f64 x (-.f64 (*.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 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64))) x)
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (.f64 (.f64 x (*.f64 x x)) x))
(/.f64 (/.f64 #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)))
(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 #s(literal -1 binary64) (fma.f64 x (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 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 x (fma.f64 x (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (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 x (fma.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) x) (/.f64 #s(literal 1 binary64) #s(literal 1/36 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 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) x) (/.f64 #s(literal 1 binary64) (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 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))) (-.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (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 x (fma.f64 x (fma.f64 x (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64)) (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (fma.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 (.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 x (*.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) (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 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64)) (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 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 x (.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) (/.f64 #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 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))) (-.f64 #s(literal -1 binary64) (.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 0 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (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)) (fma.f64 x (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)) #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 #s(literal -1 binary64) (.f64 (/.f64 (.f64 (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)) (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) (/.f64 (*.f64 x 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 (/.f64 (.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 #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) 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)))))
(/.f64 (exp.f64 x) x)
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.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:

17.0ms	x
15.0ms	(exp.f64 x)
14.0ms	(/.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)

regimes51.0ms (0.6%)

Memory

-7.7MiB live, 30.8MiB allocated

Counts

55 → 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))
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 6 binary64) (.f64 x (.f64 x x)))
(/.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 -24 binary64) (.f64 (.f64 x (*.f64 x x)) x))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) 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)))
(/.f64 #s(literal -1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/24 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) (.f64 x (.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/24 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/24 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (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))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 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 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 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 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 (*.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 x (fma.f64 x (fma.f64 x (-.f64 (*.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 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64))) x)
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (.f64 (.f64 x (*.f64 x x)) x))
(/.f64 (/.f64 #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)))
(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 #s(literal -1 binary64) (fma.f64 x (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 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 x (fma.f64 x (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (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 x (fma.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) x) (/.f64 #s(literal 1 binary64) #s(literal 1/36 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 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) x) (/.f64 #s(literal 1 binary64) (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 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))) (-.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (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 x (fma.f64 x (fma.f64 x (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64)) (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (fma.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 (.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 x (*.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) (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 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64)) (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 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 x (.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) (/.f64 #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 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))) (-.f64 #s(literal -1 binary64) (.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 0 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (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)) (fma.f64 x (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)) #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 #s(literal -1 binary64) (.f64 (/.f64 (.f64 (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)) (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) (/.f64 (*.f64 x 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 (/.f64 (.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 #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) 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)))))
(/.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

1 calls:

46.0ms

Results

Accuracy	Segments	Branch
99.8%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes39.0ms (0.4%)

Memory

-28.6MiB live, 27.3MiB allocated

Counts

54 → 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))
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 6 binary64) (.f64 x (.f64 x x)))
(/.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 -24 binary64) (.f64 (.f64 x (*.f64 x x)) x))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) 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)))
(/.f64 #s(literal -1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/24 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) (.f64 x (.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/24 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/24 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (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))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 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 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 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 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 (*.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 x (fma.f64 x (fma.f64 x (-.f64 (*.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 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64))) x)
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (.f64 (.f64 x (*.f64 x x)) x))
(/.f64 (/.f64 #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)))
(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 #s(literal -1 binary64) (fma.f64 x (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 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 x (fma.f64 x (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (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 x (fma.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) x) (/.f64 #s(literal 1 binary64) #s(literal 1/36 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 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) x) (/.f64 #s(literal 1 binary64) (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 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 x #s(literal 1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))) (-.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1/4 binary64)) x) (/.f64 #s(literal 1 binary64) (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 x (fma.f64 x (fma.f64 x (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/576 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64)) (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (fma.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 (.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 x (*.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) (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 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64)) (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 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 x (.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) (/.f64 #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 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))) (-.f64 #s(literal -1 binary64) (.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 0 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (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)) (fma.f64 x (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)) #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 #s(literal -1 binary64) (.f64 (/.f64 (.f64 (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)) (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) (/.f64 (*.f64 x 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 (/.f64 (.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 #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) 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)))))

Outputs

(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) x) (/.f64 #s(literal 1 binary64) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))

Calls

1 calls:

35.0ms

Results

Accuracy	Segments	Branch
91.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes14.0ms (0.2%)

Memory

-9.7MiB live, 28.8MiB 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))
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 6 binary64) (.f64 x (.f64 x x)))
(/.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 -24 binary64) (.f64 (.f64 x (*.f64 x x)) x))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) 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)))
(/.f64 #s(literal -1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/24 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) (.f64 x (.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/24 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/24 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (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))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 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 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 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 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 (*.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 x (fma.f64 x (fma.f64 x (-.f64 (*.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 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64))) x)
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (.f64 (.f64 x (*.f64 x x)) x))
(/.f64 (/.f64 #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)))
(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 #s(literal -1 binary64) (fma.f64 x (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 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 x (fma.f64 x (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (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)))

Outputs

(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
89.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes12.0ms (0.1%)

Memory

26.1MiB live, 26.1MiB allocated

Counts

35 → 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))
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 6 binary64) (.f64 x (.f64 x x)))
(/.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 -24 binary64) (.f64 (.f64 x (*.f64 x x)) x))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) 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)))
(/.f64 #s(literal -1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/24 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) (.f64 x (.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/24 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/24 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (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))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 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 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 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 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 (*.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 x (fma.f64 x (fma.f64 x (-.f64 (*.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 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64))) x)
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -96 binary64) x)) (.f64 (.f64 x (*.f64 x x)) x))
(/.f64 (/.f64 #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)))
(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 #s(literal -1 binary64) (fma.f64 x (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 0 binary64)))

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
87.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes11.0ms (0.1%)

Memory

-18.3MiB live, 19.8MiB allocated

Counts

25 → 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))
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 6 binary64) (.f64 x (.f64 x x)))
(/.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 -24 binary64) (.f64 (.f64 x (*.f64 x x)) x))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) 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)))
(/.f64 #s(literal -1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/24 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) (.f64 x (.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/24 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/24 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (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))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 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)))

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
87.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Memory

18.9MiB live, 18.9MiB 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))
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 6 binary64) (.f64 x (.f64 x x)))
(/.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 -24 binary64) (.f64 (.f64 x (*.f64 x x)) x))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) 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)))
(/.f64 #s(literal -1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/24 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) (.f64 x (.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (.f64 x (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/24 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/24 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))

Outputs

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
87.9%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Memory

-23.6MiB live, 14.4MiB 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))
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 6 binary64) (.f64 x (.f64 x x)))
(/.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 -24 binary64) (.f64 (.f64 x (*.f64 x x)) x))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) 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)))
(/.f64 #s(literal -1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/24 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)))

Outputs

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

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
87.9%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated

Counts

15 → 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))
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 6 binary64) (.f64 x (.f64 x x)))
(/.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 -24 binary64) (.f64 (.f64 x (*.f64 x x)) x))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) 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)))
(/.f64 #s(literal -1 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/24 binary64))))

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
87.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

11 → 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))
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 6 binary64) (.f64 x (.f64 x x)))
(/.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 6 binary64) (.f64 x (.f64 x x)))
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
84.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Memory

8.6MiB live, 8.6MiB 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))
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
66.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

6 → 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))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
66.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Memory

-34.3MiB live, 5.8MiB 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

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
65.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

5.3MiB live, 5.3MiB 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

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
3.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

5.1MiB live, 5.1MiB 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

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
3.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch14.0ms (0.2%)

Memory

-5.5MiB live, 32.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-1818.4009832793656	-0.009984665504341926

Samples

7.0ms

144×

valid

Compiler

Compiled 200 to 143 computations (28.5% saved)

Precisions

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

ival-exp: 2.0ms (51.1% of total)

ival-div: 1.0ms (25.6% of total)

ival-expm1: 1.0ms (25.6% of total)

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

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

bsearch13.0ms (0.1%)

Memory

16.9MiB live, 16.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-1818.4009832793656	-0.009984665504341926

Samples

6.0ms

144×

valid

Compiler

Compiled 272 to 197 computations (27.6% saved)

Precisions

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

ival-exp: 2.0ms (51.8% of total)

ival-div: 1.0ms (25.9% of total)

ival-expm1: 1.0ms (25.9% of total)

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

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

bsearch29.0ms (0.3%)

Memory

-17.5MiB live, 20.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	-1818.4009832793656	-0.009984665504341926

Samples

23.0ms

144×

valid

Compiler

Compiled 245 to 170 computations (30.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-exp: 18.0ms (88% of total)

ival-div: 1.0ms (4.9% of total)

ival-expm1: 1.0ms (4.9% of total)

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

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

bsearch12.0ms (0.1%)

Memory

19.7MiB live, 19.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-1818.4009832793656	-0.009984665504341926

Samples

7.0ms

144×

valid

Compiler

Compiled 200 to 143 computations (28.5% saved)

Precisions

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

ival-exp: 2.0ms (51.5% of total)

ival-div: 1.0ms (25.8% of total)

ival-expm1: 1.0ms (25.8% of total)

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

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

bsearch21.0ms (0.2%)

Memory

-19.6MiB live, 19.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	-1818.4009832793656	-0.009984665504341926

Samples

6.0ms

144×

valid

Compiler

Compiled 182 to 134 computations (26.4% saved)

Precisions

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

ival-exp: 2.0ms (52.6% of total)

ival-div: 1.0ms (26.3% of total)

ival-expm1: 1.0ms (26.3% of total)

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

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

simplify10.0ms (0.1%)

Memory

21.5MiB live, 21.5MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`*-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	73	212
1	87	212
2	89	212
3	90	212

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(if (<=.f64 x #s(literal -15/4 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))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) x) (/.f64 #s(literal 1 binary64) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 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 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 (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))
(if (<=.f64 x #s(literal -8106479329266893/2251799813685248 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 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))))
(if (<=.f64 x #s(literal -4278419646001971/1125899906842624 binary64)) (/.f64 #s(literal -24 binary64) (.f64 (.f64 x (.f64 x 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 -4 binary64)) (/.f64 #s(literal -24 binary64) (.f64 (.f64 x (*.f64 x x)) x)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal -4728779608739021/1125899906842624 binary64)) (/.f64 #s(literal 6 binary64) (.f64 x (.f64 x x))) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(fma.f64 x #s(literal 1/12 binary64) (+.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 x #s(literal -15/4 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))))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64)) x) (/.f64 #s(literal 1 binary64) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 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 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (fma.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) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal -1 binary64) (*.f64 (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))
(/.f64 #s(literal -1 binary64) (*.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))))
(if (<=.f64 x #s(literal -8106479329266893/2251799813685248 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 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))))
(if (<=.f64 x #s(literal -4278419646001971/1125899906842624 binary64)) (/.f64 #s(literal -24 binary64) (.f64 (.f64 x (.f64 x 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 -4278419646001971/1125899906842624 binary64)) (/.f64 #s(literal -24 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 x #s(literal -4 binary64)) (/.f64 #s(literal -24 binary64) (.f64 (.f64 x (*.f64 x x)) x)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(if (<=.f64 x #s(literal -4 binary64)) (/.f64 #s(literal -24 binary64) (.f64 x (.f64 x (*.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 x #s(literal -4728779608739021/1125899906842624 binary64)) (/.f64 #s(literal 6 binary64) (.f64 x (.f64 x x))) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(fma.f64 x #s(literal 1/12 binary64) (+.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 (21.2%)

Memory

-0.2MiB live, 1 338.5MiB allocated

Rules

18 180×	`accelerator-lowering-fma.f32`
18 180×	`accelerator-lowering-fma.f64`
15 740×	`accelerator-lowering-fma.f32`
15 740×	`accelerator-lowering-fma.f64`
10 384×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	310
1	419	250
2	3987	250
0	8612	208
0	245	2240
1	658	2189
2	1650	2138
3	4104	2114
0	8295	1941
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	24	90
1	157	90
2	1359	90
0	8480	73
0	5	13
1	30	13
2	185	13
3	1803	13
0	8778	9
0	159	881
1	459	865
2	1216	845
3	3785	811
4	7632	811
0	8093	719

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

Compiler

Compiled 572 to 331 computations (42.1% saved)

preprocess84.0ms (0.9%)

Memory: 21.5MiB live, 175.8MiB allocated
Compiler: Compiled 460 to 168 computations (63.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

sample523.0ms (5.8%)

preprocess82.0ms (0.9%)

explain65.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize17.0ms (0.2%)

series2.0ms (0%)

rewrite335.0ms (3.7%)

simplify369.0ms (4.1%)

eval48.0ms (0.5%)

prune73.0ms (0.8%)

simplify13.0ms (0.1%)

localize73.0ms (0.8%)

series19.0ms (0.2%)

rewrite581.0ms (6.5%)

simplify457.0ms (5.1%)

eval94.0ms (1%)

prune350.0ms (3.9%)

simplify337.0ms (3.8%)

localize74.0ms (0.8%)

series7.0ms (0.1%)

rewrite429.0ms (4.8%)

simplify422.0ms (4.7%)

eval129.0ms (1.4%)

prune175.0ms (2%)

simplify355.0ms (4%)

localize204.0ms (2.3%)

series20.0ms (0.2%)

rewrite393.0ms (4.4%)

simplify564.0ms (6.3%)

eval249.0ms (2.8%)

prune180.0ms (2%)

regimes51.0ms (0.6%)

regimes51.0ms (0.6%)

regimes39.0ms (0.4%)

regimes14.0ms (0.2%)

regimes12.0ms (0.1%)

regimes11.0ms (0.1%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

bsearch14.0ms (0.2%)

bsearch13.0ms (0.1%)

bsearch29.0ms (0.3%)

bsearch12.0ms (0.1%)

bsearch21.0ms (0.2%)

simplify10.0ms (0.1%)

soundness1.9s (21.2%)

preprocess84.0ms (0.9%)

end0.0ms (0%)

Profiling