Metrics for ENA, Section 1.4, Mentioned, A

analyze3.0ms (0%)

Memory

4.8MiB live, 4.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	49.6%	50.4%	0%	0%	0%	0
0%	0%	49.6%	50.4%	0%	0%	0%	1
0%	0%	49.6%	50.4%	0%	0%	0%	2
50%	24.8%	24.8%	50.4%	0%	0%	0%	3
75%	37.2%	12.4%	50.4%	0%	0%	0%	4
87.5%	43.4%	6.2%	50.4%	0%	0%	0%	5
93.8%	46.5%	3.1%	50.4%	0%	0%	0%	6
96.9%	48.1%	1.6%	50.4%	0%	0%	0%	7
98.4%	48.8%	0.8%	50.4%	0%	0%	0%	8
99.2%	49.2%	0.4%	50.4%	0%	0%	0%	9
99.6%	49.4%	0.2%	50.4%	0%	0%	0%	10
99.8%	49.5%	0.1%	50.4%	0%	0%	0%	11
99.9%	49.6%	0%	50.4%	0%	0%	0%	12

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample2.5s (17.6%)

Memory

43.8MiB live, 3 408.4MiB allocated

Samples

1.8s	5 913×	2	valid
352.0ms	2 304×	1	valid
3.0ms	39×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.8s

ival-cos: 1.2s (68.1% of total)

const: 229.0ms (12.7% of total)

adjust: 140.0ms (7.8% of total)

ival-sub: 133.0ms (7.4% of total)

ival-<=: 46.0ms (2.6% of total)

exact: 12.0ms (0.7% of total)

ival-and: 11.0ms (0.6% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

preprocess19.0ms (0.1%)

Memory

-39.4MiB live, 22.5MiB allocated

Algorithm

2×	egg-herbie

Rules

24×	`+-lowering-+.f64`
24×	`+-lowering-+.f32`
22×	`sub-neg`
18×	`--lowering--.f32`
18×	`--lowering--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	17	12
2	36	12
3	56	12
4	88	12
5	104	12
6	110	12
0	4	4
1	8	4
2	12	4
3	17	4
4	23	4
5	31	4
6	41	4
7	52	4
8	55	4
0	55	4

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- 1 (cos x))

Outputs
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))

Call 2

Inputs
(- 1 (cos x))
(- 1 (cos (neg x)))
(neg (- 1 (cos (neg x))))

Outputs
(- 1 (cos x))
(- 1 (cos (neg x)))
(- 1 (cos x))
(neg (- 1 (cos (neg x))))
(+ (cos x) -1)

Symmetry

(abs x)

explain161.0ms (1.1%)

Memory

34.7MiB live, 304.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
120	-	-	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(cos.f64 x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	cancellation	120	0

Confusion

	Predicted +	Predicted -
+	120	0
-	0	136

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	120	0	0
-	0	0	136

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	136
1	120

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

116.0ms	382×	2	valid
10.0ms	126×	1	valid
0.0ms	4×	0	valid

Compiler

Compiled 30 to 20 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-cos: 86.0ms (80.5% of total)

ival-sub: 12.0ms (11.2% of total)

adjust: 7.0ms (6.6% of total)

exact: 1.0ms (0.9% of total)

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

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

eval0.0ms (0%)

Memory: 0.7MiB live, 0.7MiB allocated
Compiler: Compiled 5 to 4 computations (20% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.2%	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Compiler

Compiled 5 to 4 computations (20% saved)

simplify25.0ms (0.2%)

Memory

-35.0MiB live, 7.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

24×	`+-lowering-+.f64`
24×	`+-lowering-+.f32`
18×	`--lowering--.f32`
18×	`--lowering--.f64`
16×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
1	8	8
2	12	8
3	17	8
4	23	8
5	31	8
6	41	8
7	52	8
8	55	8
0	55	8

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- 1 (cos x))
1
(cos x)
x

Outputs
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(cos x)
(cos.f64 x)
x

localize56.0ms (0.4%)

Memory

18.5MiB live, 134.6MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	58.2%	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Samples

43.0ms	191×	2	valid
5.0ms	63×	1	valid
0.0ms	2×	0	valid

Compiler

Compiled 10 to 6 computations (40% saved)

Precisions

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

ival-cos: 30.0ms (79.5% of total)

adjust: 4.0ms (10.6% of total)

ival-sub: 4.0ms (10.6% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (- 1 (cos x))>
#<alt (cos x)>

Outputs
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>

Calls

6 calls:

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

rewrite426.0ms (3%)

Memory

-36.9MiB live, 659.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 830×	`-lowering-.f32`
4 830×	`-lowering-.f64`
4 620×	`/-lowering-/.f32`
4 620×	`/-lowering-/.f64`
3 866×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
1	21	6
2	140	6
3	1151	6
0	9229	6

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 314

Calls

Call 1

Inputs
(- 1 (cos x))
(cos x)

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

simplify956.0ms (6.7%)

Memory

46.6MiB live, 1 315.8MiB allocated

Algorithm

1×	egg-herbie

Rules

32 720×	`accelerator-lowering-fma.f32`
32 720×	`accelerator-lowering-fma.f64`
3 926×	`-lowering-.f32`
3 926×	`-lowering-.f64`
3 120×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	144
1	101	144
2	246	144
3	589	144
4	1230	144
5	1905	144
6	2165	144
7	2814	144
8	4054	144
9	5622	144
10	6523	144
11	6804	144
12	6843	144
13	6843	144
14	7276	144
15	7552	144
16	7593	144
17	7595	144
18	7595	144
19	7595	144
20	7595	144
21	7605	144
22	7605	144
23	7605	144
0	8510	132

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

Calls

Call 1

Inputs
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)

Outputs
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (-.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))))))))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))))))))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)

eval55.0ms (0.4%)

Memory: -18.0MiB live, 95.9MiB allocated
Compiler: Compiled 11 282 to 921 computations (91.8% saved)

prune103.0ms (0.7%)

Memory

-0.1MiB live, 88.0MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	330	8	338
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	331	8	339

Accuracy

100.0%

Counts

339 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.7%	(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))))
▶	58.1%	(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))))
▶	56.7%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
	100.0%	(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (-.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))))))
	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))
▶	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
▶	100.0%	(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))))))))
	99.1%	(.f64 #s(literal 1/2 binary64) (.f64 x x))

Compiler

Compiled 196 to 124 computations (36.7% saved)

simplify444.0ms (3.1%)

Memory

-12.8MiB live, 744.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(tan.f64 (/.f64 x #s(literal 2 binary64)))
✓	cost-diff	0	(sin.f64 x)
✓	cost-diff	0	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/24 binary64))))
✓	cost-diff	0	(.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))))
✓	cost-diff	256	(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 x x))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
✓	cost-diff	256	(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64))))))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (*.f64 x x) #s(literal -1/40320 binary64))))))))
✓	cost-diff	0	(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))))))))

Rules

12 268×	`accelerator-lowering-fma.f32`
12 268×	`accelerator-lowering-fma.f64`
2 760×	`-lowering-.f32`
2 760×	`-lowering-.f64`
2 744×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	236
1	95	231
2	296	231
3	876	230
4	2223	230
5	5169	230
6	7724	230
0	8031	208

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x (* x (+ 1/2 (* (* x x) (+ -1/24 (* (* x x) (+ 1/720 (* (* x x) -1/40320))))))))
x
(* x (+ 1/2 (* (* x x) (+ -1/24 (* (* x x) (+ 1/720 (* (* x x) -1/40320)))))))
(+ 1/2 (* (* x x) (+ -1/24 (* (* x x) (+ 1/720 (* (* x x) -1/40320))))))
1/2
(* (* x x) (+ -1/24 (* (* x x) (+ 1/720 (* (* x x) -1/40320)))))
(* x x)
(+ -1/24 (* (* x x) (+ 1/720 (* (* x x) -1/40320))))
-1/24
(* (* x x) (+ 1/720 (* (* x x) -1/40320)))
(+ 1/720 (* (* x x) -1/40320))
1/720
(* (* x x) -1/40320)
-1/40320
(- 1 1)
1
(- 1 (- 1 (* 1/2 (* x x))))
1
(- 1 (* 1/2 (* x x)))
(* 1/2 (* x x))
1/2
(* x x)
x
(- 1 (+ 1 (* x (* x (+ -1/2 (* (* x x) 1/24))))))
1
(+ 1 (* x (* x (+ -1/2 (* (* x x) 1/24)))))
(* x (* x (+ -1/2 (* (* x x) 1/24))))
x
(* x (+ -1/2 (* (* x x) 1/24)))
(+ -1/2 (* (* x x) 1/24))
-1/2
(* (* x x) 1/24)
(* x x)
1/24
(* (sin x) (tan (/ x 2)))
(sin x)
x
(tan (/ x 2))
(/ x 2)
2

Outputs
(* x (* x (+ 1/2 (* (* x x) (+ -1/24 (* (* x x) (+ 1/720 (* (* x x) -1/40320))))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64))))))))))
x
(* x (+ 1/2 (* (* x x) (+ -1/24 (* (* x x) (+ 1/720 (* (* x x) -1/40320)))))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/720 binary64) (.f64 (*.f64 x x) #s(literal -1/40320 binary64))))))))))
(+ 1/2 (* (* x x) (+ -1/24 (* (* x x) (+ 1/720 (* (* x x) -1/40320))))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))))))))
1/2
#s(literal 1/2 binary64)
(* (* x x) (+ -1/24 (* (* x x) (+ 1/720 (* (* x x) -1/40320)))))
(.f64 x (.f64 x (+.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64))))))))
(* x x)
(*.f64 x x)
(+ -1/24 (* (* x x) (+ 1/720 (* (* x x) -1/40320))))
(+.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64))))))
-1/24
#s(literal -1/24 binary64)
(* (* x x) (+ 1/720 (* (* x x) -1/40320)))
(.f64 x (.f64 x (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))))
(+ 1/720 (* (* x x) -1/40320))
(+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))
1/720
#s(literal 1/720 binary64)
(* (* x x) -1/40320)
(.f64 (.f64 x x) #s(literal -1/40320 binary64))
-1/40320
#s(literal -1/40320 binary64)
(- 1 1)
#s(literal 0 binary64)
1
#s(literal 1 binary64)
(- 1 (- 1 (* 1/2 (* x x))))
(*.f64 x (/.f64 x #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(- 1 (* 1/2 (* x x)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
(* 1/2 (* x x))
(*.f64 x (/.f64 x #s(literal 2 binary64)))
1/2
#s(literal 1/2 binary64)
(* x x)
(*.f64 x x)
x
(- 1 (+ 1 (* x (* x (+ -1/2 (* (* x x) 1/24))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* x (* x (+ -1/2 (* (* x x) 1/24)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))))
(* x (* x (+ -1/2 (* (* x x) 1/24))))
(.f64 (.f64 x x) (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))
x
(* x (+ -1/2 (* (* x x) 1/24)))
(.f64 x (-.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/24 binary64))))
(+ -1/2 (* (* x x) 1/24))
(-.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))
-1/2
#s(literal -1/2 binary64)
(* (* x x) 1/24)
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* x x)
(*.f64 x x)
1/24
#s(literal 1/24 binary64)
(* (sin x) (tan (/ x 2)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(sin x)
(sin.f64 x)
x
(tan (/ x 2))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/ x 2)
(/.f64 x #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize144.0ms (1%)

Memory

20.2MiB live, 328.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(tan.f64 (/.f64 x #s(literal 2 binary64)))
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	100.0%	(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
✓	accuracy	100.0%	(.f64 (.f64 x x) #s(literal 1/24 binary64))
✓	accuracy	100.0%	(.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/24 binary64))))
✓	accuracy	99.8%	(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 x x))
✓	accuracy	99.8%	(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64))))
✓	accuracy	100.0%	(.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64))))))
✓	accuracy	100.0%	(.f64 (.f64 x x) #s(literal -1/40320 binary64))
✓	accuracy	100.0%	(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))))))))

Samples

90.0ms	253×	1	exit
1.0ms	3×	0	valid

Compiler

Compiled 242 to 34 computations (86% saved)

Precisions

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

ival-mult: 35.0ms (48.2% of total)

const: 12.0ms (16.5% of total)

adjust: 10.0ms (13.8% of total)

ival-add: 6.0ms (8.3% of total)

ival-sub: 4.0ms (5.5% of total)

ival-div: 2.0ms (2.8% of total)

ival-sin: 2.0ms (2.8% of total)

ival-tan: 2.0ms (2.8% of total)

exact: 1.0ms (1.4% of total)

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

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

series16.0ms (0.1%)

Memory

-0.9MiB live, 34.8MiB allocated

Counts

20 → 228

Calls

Call 1

Inputs
#<alt (* x (* x (+ 1/2 (* (* x x) (+ -1/24 (* (* x x) (+ 1/720 (* (* x x) -1/40320))))))))>
#<alt (* x (+ 1/2 (* (* x x) (+ -1/24 (* (* x x) (+ 1/720 (* (* x x) -1/40320)))))))>
#<alt (+ 1/2 (* (* x x) (+ -1/24 (* (* x x) (+ 1/720 (* (* x x) -1/40320))))))>
#<alt (* (* x x) (+ -1/24 (* (* x x) (+ 1/720 (* (* x x) -1/40320)))))>
#<alt (- 1 1)>
#<alt (- 1 (- 1 (* 1/2 (* x x))))>
#<alt (- 1 (* 1/2 (* x x)))>
#<alt (* 1/2 (* x x))>
#<alt (* x x)>
#<alt (- 1 (+ 1 (* x (* x (+ -1/2 (* (* x x) 1/24))))))>
#<alt (+ 1 (* x (* x (+ -1/2 (* (* x x) 1/24)))))>
#<alt (* x (* x (+ -1/2 (* (* x x) 1/24))))>
#<alt (* x (+ -1/2 (* (* x x) 1/24)))>
#<alt (* (sin x) (tan (/ x 2)))>
#<alt (sin x)>
#<alt (tan (/ x 2))>
#<alt (/ x 2)>
#<alt (* (* x x) -1/40320)>
#<alt (* (* x x) (+ 1/720 (* (* x x) -1/40320)))>
#<alt (* (* x x) 1/24)>

Outputs
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (* -1/40320 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))>
#<alt (* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))>
#<alt (* -1/40320 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))>
#<alt (* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (* -1/40320 (pow x 7))>
#<alt (* (pow x 7) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))>
#<alt (* (pow x 7) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))>
#<alt (* (pow x 7) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))>
#<alt (* -1/40320 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/40320 (/ 1/24 (pow x 4))) (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))>
#<alt (* -1/40320 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))>
#<alt (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))>
#<alt (* -1/40320 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))>
#<alt (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))>
#<alt (* -1/24 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))>
#<alt (* -1/40320 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))>
#<alt (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))>
#<alt (* -1/40320 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))>
#<alt (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (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 (pow x 2)>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* -1/24 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* -1/24 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1/2 x)>
#<alt (* x (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* x (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* x (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))>
#<alt (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* -1/40320 (pow x 2))>
#<alt (* -1/40320 (pow x 2))>
#<alt (* -1/40320 (pow x 2))>
#<alt (* -1/40320 (pow x 2))>
#<alt (* -1/40320 (pow x 2))>
#<alt (* -1/40320 (pow x 2))>
#<alt (* -1/40320 (pow x 2))>
#<alt (* -1/40320 (pow x 2))>
#<alt (* -1/40320 (pow x 2))>
#<alt (* -1/40320 (pow x 2))>
#<alt (* -1/40320 (pow x 2))>
#<alt (* -1/40320 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2))))>
#<alt (* -1/40320 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))>
#<alt (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))>
#<alt (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))>
#<alt (* -1/40320 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))>
#<alt (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))>
#<alt (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>

Calls

57 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(* (* x x) (+ 1/720 (* (* x x) -1/40320)))
2.0ms	x	@	-inf	(* (sin x) (tan (/ x 2)))
1.0ms	x	@	inf	(* (sin x) (tan (/ x 2)))
1.0ms	x	@	inf	(* 1/2 (* x x))
1.0ms	x	@	inf	(* x (* x (+ 1/2 (* (* x x) (+ -1/24 (* (* x x) (+ 1/720 (* (* x x) -1/40320))))))))

rewrite733.0ms (5.1%)

Memory

7.3MiB live, 1 072.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 744×	`accelerator-lowering-fma.f32`
4 744×	`accelerator-lowering-fma.f64`
4 512×	`-lowering-.f32`
4 512×	`-lowering-.f64`
3 544×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	188
1	204	183
2	1772	183
0	8401	165

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 561

Calls

Call 1

Inputs
(* x (* x (+ 1/2 (* (* x x) (+ -1/24 (* (* x x) (+ 1/720 (* (* x x) -1/40320))))))))
(* x (+ 1/2 (* (* x x) (+ -1/24 (* (* x x) (+ 1/720 (* (* x x) -1/40320)))))))
(+ 1/2 (* (* x x) (+ -1/24 (* (* x x) (+ 1/720 (* (* x x) -1/40320))))))
(* (* x x) (+ -1/24 (* (* x x) (+ 1/720 (* (* x x) -1/40320)))))
(- 1 1)
(- 1 (- 1 (* 1/2 (* x x))))
(- 1 (* 1/2 (* x x)))
(* 1/2 (* x x))
(* x x)
(- 1 (+ 1 (* x (* x (+ -1/2 (* (* x x) 1/24))))))
(+ 1 (* x (* x (+ -1/2 (* (* x x) 1/24)))))
(* x (* x (+ -1/2 (* (* x x) 1/24))))
(* x (+ -1/2 (* (* x x) 1/24)))
(* (sin x) (tan (/ x 2)))
(sin x)
(tan (/ x 2))
(/ x 2)
(* (* x x) -1/40320)
(* (* x x) (+ 1/720 (* (* x x) -1/40320)))
(* (* x x) 1/24)

Outputs
(+.f64 (.f64 x (/.f64 x #s(literal 2 binary64))) (.f64 x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (*.f64 x #s(literal -1/40320 binary64))))))))))
(+.f64 (.f64 x (/.f64 x #s(literal 2 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (*.f64 x #s(literal -1/40320 binary64)))))))))
(+.f64 (.f64 x (/.f64 x #s(literal 2 binary64))) (.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (*.f64 x #s(literal -1/40320 binary64)))))))) x))
(+.f64 (.f64 x (/.f64 x #s(literal 2 binary64))) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64))))))) (*.f64 x x)))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64)))))))) (*.f64 x (/.f64 x #s(literal 2 binary64))))
(+.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64))))))) (.f64 x x)) (*.f64 x (/.f64 x #s(literal 2 binary64))))
(fma.f64 x (/.f64 x #s(literal 2 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64))))))))))
(fma.f64 x (/.f64 x #s(literal 2 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64)))))))))
(fma.f64 x (/.f64 x #s(literal 2 binary64)) (.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64)))))))) x))
(fma.f64 x (/.f64 x #s(literal 2 binary64)) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64))))))) (.f64 x x)))
(fma.f64 #s(literal 1/2 binary64) (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (*.f64 x #s(literal -1/40320 binary64))))))))))
(fma.f64 #s(literal 1/2 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (*.f64 x #s(literal -1/40320 binary64)))))))))
(fma.f64 #s(literal 1/2 binary64) (.f64 x x) (.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (*.f64 x #s(literal -1/40320 binary64)))))))) x))
(fma.f64 #s(literal 1/2 binary64) (.f64 x x) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64))))))) (*.f64 x x)))
(fma.f64 (.f64 x x) #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (*.f64 x #s(literal -1/40320 binary64))))))))))
(fma.f64 (.f64 x x) #s(literal 1/2 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (*.f64 x #s(literal -1/40320 binary64)))))))))
(fma.f64 (.f64 x x) #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (*.f64 x #s(literal -1/40320 binary64)))))))) x))
(fma.f64 (.f64 x x) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64))))))) (*.f64 x x)))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64))))))) (.f64 x (/.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64))))))) (.f64 x x) (.f64 x (/.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x (/.f64 x #s(literal 2 binary64))) (.f64 x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (*.f64 x #s(literal -1/40320 binary64))))))))))
(fma.f64 #s(literal 1 binary64) (.f64 x (/.f64 x #s(literal 2 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (*.f64 x #s(literal -1/40320 binary64)))))))))
(fma.f64 #s(literal 1 binary64) (.f64 x (/.f64 x #s(literal 2 binary64))) (.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (*.f64 x #s(literal -1/40320 binary64)))))))) x))
(fma.f64 #s(literal 1 binary64) (.f64 x (/.f64 x #s(literal 2 binary64))) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64))))))) (*.f64 x x)))
(fma.f64 (.f64 x (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (*.f64 x #s(literal -1/40320 binary64))))))))))
(fma.f64 (.f64 x (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (*.f64 x #s(literal -1/40320 binary64)))))))))
(fma.f64 (.f64 x (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (*.f64 x #s(literal -1/40320 binary64)))))))) x))
(fma.f64 (.f64 x (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64))))))) (*.f64 x x)))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (-.f64 #s(literal 2 binary64) (.f64 x (/.f64 x #s(literal 2 binary64))))))) (.f64 x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64))))))))))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (-.f64 #s(literal 2 binary64) (.f64 x (/.f64 x #s(literal 2 binary64))))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64)))))))))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (-.f64 #s(literal 2 binary64) (.f64 x (/.f64 x #s(literal 2 binary64))))))) (.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64)))))))) x))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (-.f64 #s(literal 2 binary64) (.f64 x (/.f64 x #s(literal 2 binary64))))))) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64))))))) (.f64 x x)))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (.f64 x (/.f64 x #s(literal 2 binary64))))) (.f64 x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64))))))))))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (.f64 x (/.f64 x #s(literal 2 binary64))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64)))))))))
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(/.f64 (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/373248000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/65548320768000 binary64)))))) (neg.f64 (+.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/40320 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal -1/40320 binary64))) #s(literal 1/720 binary64))))))
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(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/373248000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/65548320768000 binary64)))) (.f64 x x))) (neg.f64 (+.f64 #s(literal 1/518400 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/40320 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal -1/40320 binary64))) #s(literal 1/720 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/518400 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1625702400 binary64))) (.f64 x x))) (neg.f64 (-.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/65548320768000 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 1/373248000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/40320 binary64))))) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/40320 binary64)))))) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/40320 binary64))))) (.f64 (*.f64 x x) #s(literal 1/720 binary64))))))
(.f64 x (.f64 x (+.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64)))))
(.f64 (+.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64)))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 1/720 binary64) (.f64 x (.f64 x #s(literal -1/40320 binary64))))) x)
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/24 binary64)) x)

simplify493.0ms (3.5%)

Memory

-95.6MiB live, 1 053.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12 824×	`accelerator-lowering-fma.f32`
12 824×	`accelerator-lowering-fma.f64`
3 342×	`-lowering-.f32`
3 342×	`-lowering-.f64`
3 150×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	1932
1	378	1926
2	978	1926
3	2963	1910
4	5369	1910
5	7232	1910
0	8090	1833

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* -1/40320 (pow x 8))
(* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* -1/40320 (pow x 8))
(* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* 1/2 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* -1/40320 (pow x 7))
(* (pow x 7) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 7) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* (pow x 7) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* -1/40320 (pow x 7))
(* -1 (* (pow x 7) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/40320 (/ 1/24 (pow x 4))) (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(* -1/40320 (pow x 6))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* -1/40320 (pow x 6))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))
(* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))
(* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))
(* -1/40320 (pow x 6))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* -1/40320 (pow x 6))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* -1/2 (pow x 2)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (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)
(pow x 2)
(pow x 2)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* -1/24 (pow x 4))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* -1/24 (pow x 4))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* -1/2 x)
(* x (- (* 1/24 (pow x 2)) 1/2))
(* x (- (* 1/24 (pow x 2)) 1/2))
(* x (- (* 1/24 (pow x 2)) 1/2))
(* 1/24 (pow x 3))
(* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* -1/40320 (pow x 2))
(* -1/40320 (pow x 2))
(* -1/40320 (pow x 2))
(* -1/40320 (pow x 2))
(* -1/40320 (pow x 2))
(* -1/40320 (pow x 2))
(* -1/40320 (pow x 2))
(* -1/40320 (pow x 2))
(* -1/40320 (pow x 2))
(* -1/40320 (pow x 2))
(* -1/40320 (pow x 2))
(* -1/40320 (pow x 2))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2))))
(* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2))))
(* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2))))
(* -1/40320 (pow x 4))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* -1/40320 (pow x 4))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))

Outputs
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))))))))
(* -1/40320 (pow x 8))
(*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/40320 binary64) (/.f64 #s(literal 1/720 binary64) (.f64 x x))))
(* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/40320 binary64) (+.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) (/.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 8) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/40320 binary64) (+.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(* -1/40320 (pow x 8))
(*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/40320 binary64) (/.f64 #s(literal 1/720 binary64) (.f64 x x))))
(* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/40320 binary64) (+.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) (/.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 8) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/40320 binary64) (+.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/24 binary64))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/720 binary64))))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/720 binary64) (.f64 (*.f64 x x) #s(literal -1/40320 binary64)))))))))
(* -1/40320 (pow x 7))
(*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(.f64 (+.f64 #s(literal -1/40320 binary64) (/.f64 #s(literal 1/720 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(.f64 (+.f64 #s(literal -1/40320 binary64) (+.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) (/.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))
(.f64 (+.f64 #s(literal -1/40320 binary64) (+.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x (.f64 x x))))))) (pow.f64 x #s(literal 7 binary64)))
(* -1/40320 (pow x 7))
(*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal -1/40320 binary64) (/.f64 #s(literal 1/720 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal -1/40320 binary64) (+.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) (/.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 1/40320 (/ 1/24 (pow x 4))) (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))
(.f64 (+.f64 #s(literal -1/40320 binary64) (+.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x (.f64 x x))))))) (pow.f64 x #s(literal 7 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64))))))))
(* -1/40320 (pow x 6))
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(sin.f64 x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (*.f64 x #s(literal 1/240 binary64)))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/24 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/240 binary64) (.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) x)) (cos.f64 (.f64 #s(literal 1/2 binary64) x)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* -1/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/40320 binary64))
(* -1/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/40320 binary64))
(* -1/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/40320 binary64))
(* -1/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/40320 binary64))
(* -1/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/40320 binary64))
(* -1/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/40320 binary64))
(* -1/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/40320 binary64))
(* -1/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/40320 binary64))
(* -1/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/40320 binary64))
(* -1/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/40320 binary64))
(* -1/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/40320 binary64))
(* -1/40320 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/40320 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))))
(* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))))
(* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))))
(* -1/40320 (pow x 4))
(.f64 x (.f64 #s(literal -1/40320 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(.f64 x (.f64 x (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(.f64 x (.f64 x (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(.f64 x (.f64 x (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))))
(* -1/40320 (pow x 4))
(.f64 x (.f64 #s(literal -1/40320 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(.f64 x (.f64 x (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(.f64 x (.f64 x (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))))
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))
(.f64 x (.f64 x (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 x (.f64 x #s(literal 1/24 binary64)))

eval142.0ms (1%)

Memory: 30.6MiB live, 262.3MiB allocated
Compiler: Compiled 27 835 to 2 274 computations (91.8% saved)

prune133.0ms (0.9%)

Memory

-13.7MiB live, 224.7MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	856	5	861
Fresh	2	1	3
Picked	4	1	5
Done	0	0	0
Total	862	7	869

Accuracy

100.0%

Counts

869 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.1%	(-.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))) #s(literal 1 binary64))
✓	57.7%	(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))))
▶	99.1%	(*.f64 (/.f64 x #s(literal 2 binary64)) x)
▶	23.5%	(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
▶	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))
▶	100.0%	(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))
▶	56.7%	#s(literal 0 binary64)

Compiler

Compiled 150 to 93 computations (38% saved)

simplify366.0ms (2.6%)

Memory

-9.5MiB live, 427.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 x x)))
✓	cost-diff	256	(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal -1/24 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))
✓	cost-diff	0	(/.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (/.f64 x #s(literal 2 binary64)) x)
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/720 binary64))))))
✓	cost-diff	0	(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))

Rules

6 602×	`-lowering-.f32`
6 602×	`-lowering-.f64`
2 680×	`accelerator-lowering-fma.f32`
2 680×	`accelerator-lowering-fma.f64`
2 546×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	152
1	77	150
2	223	150
3	433	150
4	591	150
5	719	150
6	894	150
7	1938	150
8	2513	150
9	3030	150
10	3509	150
11	4153	150
12	4745	150
13	5026	150
14	5191	150
15	5360	150
16	5535	150
17	6290	150
18	7430	150
19	7936	150
0	8058	139

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x (* x (+ 1/2 (* (* x x) (+ -1/24 (* (* x x) 1/720))))))
x
(* x (+ 1/2 (* (* x x) (+ -1/24 (* (* x x) 1/720)))))
(+ 1/2 (* (* x x) (+ -1/24 (* (* x x) 1/720))))
1/2
(* (* x x) (+ -1/24 (* (* x x) 1/720)))
(* x x)
(+ -1/24 (* (* x x) 1/720))
-1/24
(* (* x x) 1/720)
1/720
0
(* (/ x 2) x)
(/ x 2)
x
2
(* (* x x) (+ 1/2 (* (* x x) -1/24)))
(* x x)
x
(+ 1/2 (* (* x x) -1/24))
1/2
(* (* x x) -1/24)
-1/24
(* (* x (* x (* x x))) (+ -1/24 (/ 1/2 (* x x))))
(* x (* x (* x x)))
x
(* x (* x x))
(* x x)
(+ -1/24 (/ 1/2 (* x x)))
-1/24
(/ 1/2 (* x x))
1/2

Outputs
(* x (* x (+ 1/2 (* (* x x) (+ -1/24 (* (* x x) 1/720))))))
(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))
x
(* x (+ 1/2 (* (* x x) (+ -1/24 (* (* x x) 1/720)))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/720 binary64))))))
(+ 1/2 (* (* x x) (+ -1/24 (* (* x x) 1/720))))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))
1/2
#s(literal 1/2 binary64)
(* (* x x) (+ -1/24 (* (* x x) 1/720)))
(.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))
(* x x)
(*.f64 x x)
(+ -1/24 (* (* x x) 1/720))
(+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))
-1/24
#s(literal -1/24 binary64)
(* (* x x) 1/720)
(.f64 (.f64 x x) #s(literal 1/720 binary64))
1/720
#s(literal 1/720 binary64)
0
#s(literal 0 binary64)
(* (/ x 2) x)
(/.f64 (*.f64 x x) #s(literal 2 binary64))
(/ x 2)
(/.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
(* (* x x) (+ 1/2 (* (* x x) -1/24)))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))
(* x x)
(*.f64 x x)
x
(+ 1/2 (* (* x x) -1/24))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))
1/2
#s(literal 1/2 binary64)
(* (* x x) -1/24)
(.f64 (.f64 x x) #s(literal -1/24 binary64))
-1/24
#s(literal -1/24 binary64)
(* (* x (* x (* x x))) (+ -1/24 (/ 1/2 (* x x))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
x
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
(+ -1/24 (/ 1/2 (* x x)))
(+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
-1/24
#s(literal -1/24 binary64)
(/ 1/2 (* x x))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
1/2
#s(literal 1/2 binary64)

localize121.0ms (0.8%)

Memory

12.3MiB live, 128.9MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.9%	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓	accuracy	24.6%	(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal -1/24 binary64))
✓	accuracy	100.0%	(/.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 (/.f64 x #s(literal 2 binary64)) x)
✓	accuracy	100.0%	(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))
✓	accuracy	100.0%	(+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 1/720 binary64))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))

Samples

73.0ms

256×

valid

Compiler

Compiled 162 to 25 computations (84.6% saved)

Precisions

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

const: 26.0ms (53.1% of total)

ival-mult: 15.0ms (30.7% of total)

ival-add: 4.0ms (8.2% of total)

ival-div: 3.0ms (6.1% 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%)

Memory

16.2MiB live, 16.2MiB allocated

Counts

16 → 192

Calls

Call 1

Inputs
#<alt (* x (* x (+ 1/2 (* (* x x) (+ -1/24 (* (* x x) 1/720))))))>
#<alt (* x (+ 1/2 (* (* x x) (+ -1/24 (* (* x x) 1/720)))))>
#<alt (+ 1/2 (* (* x x) (+ -1/24 (* (* x x) 1/720))))>
#<alt (* (* x x) (+ -1/24 (* (* x x) 1/720)))>
#<alt (* (/ x 2) x)>
#<alt (/ x 2)>
#<alt (* (* x x) (+ 1/2 (* (* x x) -1/24)))>
#<alt (* x x)>
#<alt (+ 1/2 (* (* x x) -1/24))>
#<alt (* (* x x) -1/24)>
#<alt (* (* x (* x (* x x))) (+ -1/24 (/ 1/2 (* x x))))>
#<alt (* x (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (* (* x x) 1/720)>
#<alt (+ -1/24 (* (* x x) 1/720))>
#<alt (/ 1/2 (* x x))>

Outputs
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* 1/720 (pow x 5))>
#<alt (* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/720 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720)))>
#<alt (* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))>
#<alt (* 1/720 (pow x 4))>
#<alt (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/720 (pow x 4))>
#<alt (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* -1/24 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))>
#<alt (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))>
#<alt (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))>
#<alt (* 1/720 (pow x 4))>
#<alt (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/720 (pow x 4))>
#<alt (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* -1/24 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* -1/24 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 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 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (* -1/24 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* -1/24 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* -1/24 (pow x 2))>
#<alt (* -1/24 (pow x 2))>
#<alt (* -1/24 (pow x 2))>
#<alt (* -1/24 (pow x 2))>
#<alt (* -1/24 (pow x 2))>
#<alt (* -1/24 (pow x 2))>
#<alt (* -1/24 (pow x 2))>
#<alt (* -1/24 (pow x 2))>
#<alt (* -1/24 (pow x 2))>
#<alt (* -1/24 (pow x 2))>
#<alt (* -1/24 (pow x 2))>
#<alt (* -1/24 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* -1/24 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* -1/24 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt -1/24>
#<alt (- (* 1/720 (pow x 2)) 1/24)>
#<alt (- (* 1/720 (pow x 2)) 1/24)>
#<alt (- (* 1/720 (pow x 2)) 1/24)>
#<alt (* 1/720 (pow x 2))>
#<alt (* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/720 (pow x 2))>
#<alt (* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>

Calls

48 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(* x (* x (+ 1/2 (* (* x x) (+ -1/24 (* (* x x) 1/720))))))
0.0ms	x	@	inf	(* (* x x) (+ -1/24 (* (* x x) 1/720)))
0.0ms	x	@	-inf	(* x (* x x))
0.0ms	x	@	inf	(* x (* x (+ 1/2 (* (* x x) (+ -1/24 (* (* x x) 1/720))))))
0.0ms	x	@	inf	(* (* x x) -1/24)

rewrite612.0ms (4.3%)

Memory

1.6MiB live, 847.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 020×	`accelerator-lowering-fma.f32`
10 020×	`accelerator-lowering-fma.f64`
5 282×	`-lowering-.f32`
5 282×	`-lowering-.f64`
3 194×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	126
1	141	124
2	1140	124
0	8649	113

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 876

Calls

Call 1

Inputs
(* x (* x (+ 1/2 (* (* x x) (+ -1/24 (* (* x x) 1/720))))))
(* x (+ 1/2 (* (* x x) (+ -1/24 (* (* x x) 1/720)))))
(+ 1/2 (* (* x x) (+ -1/24 (* (* x x) 1/720))))
(* (* x x) (+ -1/24 (* (* x x) 1/720)))
(* (/ x 2) x)
(/ x 2)
(* (* x x) (+ 1/2 (* (* x x) -1/24)))
(* x x)
(+ 1/2 (* (* x x) -1/24))
(* (* x x) -1/24)
(* (* x (* x (* x x))) (+ -1/24 (/ 1/2 (* x x))))
(* x (* x (* x x)))
(* x (* x x))
(* (* x x) 1/720)
(+ -1/24 (* (* x x) 1/720))
(/ 1/2 (* x x))

Outputs
(+.f64 (/.f64 (.f64 x x) #s(literal 2 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/24 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64))))))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/24 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/24 binary64))) (.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) (.f64 x x)))
(+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))) (/.f64 (*.f64 x x) #s(literal 2 binary64)))
(+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/720 binary64))))))
(+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/720 binary64)))) (.f64 x x)))
(fma.f64 x (/.f64 x #s(literal 2 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))
(fma.f64 x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))) (/.f64 (.f64 x x) #s(literal 2 binary64)))
(fma.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/720 binary64))))))
(fma.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/720 binary64)))) (*.f64 x x)))
(fma.f64 x (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal -1/24 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/720 binary64))))))
(fma.f64 x (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal -1/24 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/720 binary64)))) (.f64 x x)))
(fma.f64 x (/.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/24 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64))))))
(fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/24 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))))
(fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/24 binary64))) (.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) (*.f64 x x)))
(fma.f64 #s(literal 1/2 binary64) (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/24 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))
(fma.f64 (.f64 x x) #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/24 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64))))))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))) (/.f64 (.f64 x x) #s(literal 2 binary64)))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/24 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/24 binary64)) (.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) (*.f64 x x)))
(fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/720 binary64))))))
(fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/720 binary64)))) (*.f64 x x)))
(fma.f64 (.f64 x x) (/.f64 (.f64 x x) (/.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/24 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64))))))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) (-.f64 #s(literal -1/24 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/720 binary64))))))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) (-.f64 #s(literal -1/24 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/720 binary64)))) (.f64 x x)))
(fma.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) (*.f64 x x)))
(fma.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))) (.f64 x x) (/.f64 (.f64 x x) #s(literal 2 binary64)))
(fma.f64 (/.f64 x #s(literal 2 binary64)) x (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))
(fma.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) (.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) (*.f64 x x)))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))) (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/720 binary64))))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))) (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/720 binary64)))) (*.f64 x x)))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))) (/.f64 (.f64 x x) #s(literal 2 binary64)))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal -1/24 binary64)) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal -1/24 binary64)) (.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) (*.f64 x x)))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 x (/.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/24 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64))))))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (-.f64 #s(literal -1/24 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/720 binary64))))))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (-.f64 #s(literal -1/24 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/720 binary64)))) (.f64 x x)))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/720 binary64)))) #s(literal 1/2 binary64))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/24 binary64) (.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) (*.f64 x x)))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))) (/.f64 (.f64 x x) #s(literal 2 binary64)))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -1/24 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/720 binary64))))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -1/24 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/720 binary64)))) (.f64 x x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))
(fma.f64 (-.f64 #s(literal -1/24 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/720 binary64))))))
(fma.f64 (-.f64 #s(literal -1/24 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/720 binary64)))) (.f64 x x)))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -1/2 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/24 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) #s(literal 2 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/24 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 2 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))
(fma.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))) x (/.f64 (.f64 x x) #s(literal 2 binary64)))
(fma.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))) x (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/720 binary64))))))
(fma.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))) x (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/720 binary64)))) (*.f64 x x)))
(fma.f64 (.f64 x (+.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))) (.f64 x (.f64 x x)) (/.f64 (.f64 x x) #s(literal 2 binary64)))
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(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 x) #s(literal 2 binary64))))
(neg.f64 (neg.f64 (.f64 x (.f64 x (*.f64 x x)))))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 2 binary64))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 (.f64 x (*.f64 x x)) x)
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))
(.f64 (.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(.f64 (.f64 x (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) x)
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x)) x)
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -1 binary64)) (.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 x (.f64 x #s(literal 1/720 binary64)))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(.f64 #s(literal 1/720 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/720 binary64)) x)
(+.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal 1/720 binary64))) #s(literal -1/24 binary64))
(+.f64 (/.f64 #s(literal 1/576 binary64) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 (.f64 (.f64 x x) #s(literal 1/518400 binary64)) x)) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))))))
(-.f64 (/.f64 #s(literal 1/576 binary64) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))) (/.f64 (.f64 x (.f64 (.f64 (.f64 x x) #s(literal 1/518400 binary64)) x)) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))))
(-.f64 (/.f64 (.f64 x (.f64 (.f64 (.f64 x x) #s(literal 1/518400 binary64)) x)) (+.f64 (.f64 x (.f64 x #s(literal 1/720 binary64))) #s(literal 1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/720 binary64))) #s(literal 1/24 binary64))))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))
(fma.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 (.f64 (.f64 x x) #s(literal 1/518400 binary64)) x)) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))))))
(fma.f64 (*.f64 x #s(literal 1/720 binary64)) x #s(literal -1/24 binary64))
(neg.f64 (+.f64 (.f64 (.f64 x x) #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))
(/.f64 (+.f64 #s(literal -1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)))) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/17280 binary64)))))
(/.f64 (+.f64 #s(literal -1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)))) (+.f64 (.f64 x (.f64 (.f64 (.f64 x x) #s(literal 1/518400 binary64)) x)) (+.f64 #s(literal 1/576 binary64) (.f64 #s(literal 1/17280 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 (.f64 (.f64 x x) #s(literal 1/518400 binary64)) x)) (+.f64 #s(literal 1/576 binary64) (.f64 #s(literal 1/17280 binary64) (.f64 x x)))) (+.f64 #s(literal -1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/720 binary64))) #s(literal 1/24 binary64)) (+.f64 (.f64 x (.f64 (.f64 (.f64 x x) #s(literal 1/518400 binary64)) x)) #s(literal -1/576 binary64))))
(/.f64 (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/518400 binary64))) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64)))))))
(/.f64 (+.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)))) #s(literal 1/13824 binary64)) (+.f64 #s(literal -1/576 binary64) (neg.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/17280 binary64))))))
(/.f64 (+.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)))) #s(literal 1/13824 binary64)) (neg.f64 (+.f64 (.f64 x (.f64 (.f64 (.f64 x x) #s(literal 1/518400 binary64)) x)) (+.f64 #s(literal 1/576 binary64) (.f64 #s(literal 1/17280 binary64) (.f64 x x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/518400 binary64)))) (+.f64 #s(literal 1/24 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal -1/720 binary64)))))
(/.f64 (+.f64 (.f64 x (.f64 (.f64 (.f64 x x) #s(literal 1/518400 binary64)) x)) #s(literal -1/576 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 1/720 binary64))) #s(literal 1/24 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/576 binary64) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))) (.f64 (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))) (.f64 x (.f64 (.f64 (.f64 x x) #s(literal 1/518400 binary64)) x)))) (.f64 (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))) (+.f64 #s(literal -1/24 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)))) #s(literal 1/13824 binary64))) (neg.f64 (+.f64 #s(literal -1/576 binary64) (neg.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/17280 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/518400 binary64))))) (neg.f64 (+.f64 #s(literal 1/24 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal -1/720 binary64))))))
(/.f64 (neg.f64 (+.f64 (.f64 x (.f64 (.f64 (.f64 x x) #s(literal 1/518400 binary64)) x)) #s(literal -1/576 binary64))) (neg.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/720 binary64))) #s(literal 1/24 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/576 binary64) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (.f64 (.f64 (.f64 x x) #s(literal 1/518400 binary64)) x)) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1/576 binary64) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))) (/.f64 #s(literal 1/576 binary64) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 (.f64 (.f64 x x) #s(literal 1/518400 binary64)) x)) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))) (/.f64 (.f64 x (.f64 (.f64 (.f64 x x) #s(literal 1/518400 binary64)) x)) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))))) (.f64 (/.f64 #s(literal 1/576 binary64) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))) (/.f64 (.f64 x (.f64 (.f64 (.f64 x x) #s(literal 1/518400 binary64)) x)) (+.f64 #s(literal -1/24 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64))))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/576 binary64) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))) (/.f64 #s(literal 1/576 binary64) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))))) (.f64 (/.f64 (.f64 x (.f64 (.f64 (.f64 x x) #s(literal 1/518400 binary64)) x)) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))) (/.f64 (.f64 x (.f64 (.f64 (.f64 x x) #s(literal 1/518400 binary64)) x)) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))))) (+.f64 (/.f64 #s(literal 1/576 binary64) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64)))) (/.f64 (.f64 x (.f64 (.f64 (.f64 x x) #s(literal 1/518400 binary64)) x)) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x #s(literal 1/720 binary64))))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal -1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/17280 binary64))))))
(.f64 (+.f64 #s(literal -1/13824 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 (.f64 (.f64 x x) #s(literal 1/518400 binary64)) x)) (+.f64 #s(literal 1/576 binary64) (.f64 #s(literal 1/17280 binary64) (*.f64 x x))))))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/24 binary64) (.f64 x (*.f64 x #s(literal 1/720 binary64)))))
(.f64 (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/518400 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/24 binary64) (.f64 (*.f64 x x) #s(literal -1/720 binary64)))))
(.f64 (+.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/373248000 binary64)))) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/576 binary64) (neg.f64 (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/17280 binary64)))))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/518400 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/24 binary64) (neg.f64 (.f64 (*.f64 x x) #s(literal -1/720 binary64))))))
(.f64 (+.f64 (.f64 x (.f64 (.f64 (.f64 x x) #s(literal 1/518400 binary64)) x)) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (*.f64 x #s(literal 1/720 binary64))) #s(literal 1/24 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 x x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(neg.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (/.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64))
(.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) x))
(.f64 (pow.f64 (/.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))

simplify285.0ms (2%)

Memory

-11.0MiB live, 622.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 526×	`accelerator-lowering-fma.f32`
8 526×	`accelerator-lowering-fma.f64`
4 064×	`-lowering-.f32`
4 064×	`-lowering-.f64`
1 274×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	1284
1	138	1284
2	327	1284
3	841	1284
4	2319	1284
5	6229	1284
0	8353	1208

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* 1/720 (pow x 6))
(* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 6))
(* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* 1/2 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* 1/720 (pow x 5))
(* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720)))
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(* 1/720 (pow x 4))
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 4))
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))
(* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))
(* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))
(* 1/720 (pow x 4))
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 4))
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* -1/24 (pow x 4))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* -1/24 (pow x 4))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 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)
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* -1/24 (pow x 2)))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* -1/24 (pow x 2))
(* -1/24 (pow x 2))
(* -1/24 (pow x 2))
(* -1/24 (pow x 2))
(* -1/24 (pow x 2))
(* -1/24 (pow x 2))
(* -1/24 (pow x 2))
(* -1/24 (pow x 2))
(* -1/24 (pow x 2))
(* -1/24 (pow x 2))
(* -1/24 (pow x 2))
(* -1/24 (pow x 2))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* -1/24 (pow x 4))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* -1/24 (pow x 4))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
-1/24
(- (* 1/720 (pow x 2)) 1/24)
(- (* 1/720 (pow x 2)) 1/24)
(- (* 1/720 (pow x 2)) 1/24)
(* 1/720 (pow x 2))
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 2))
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))

Outputs
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))))))
(* 1/720 (pow x 6))
(.f64 x (.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))
(* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 x x))))
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 x x))))
(* 1/720 (pow x 6))
(.f64 x (.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))
(* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 x x))))
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 x x))))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/24 binary64))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))
(* 1/720 (pow x 5))
(.f64 x (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(.f64 (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(.f64 (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(* 1/720 (pow x 5))
(.f64 x (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720)))
(.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))))
(.f64 (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))))
(.f64 (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal -1/24 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))))
(* 1/720 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/720 binary64)))
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))))
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))))
(* 1/720 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/720 binary64)))
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))))
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64))))))
(* -1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/24 binary64))
(* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))
(.f64 x (.f64 x (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))
(* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))
(.f64 x (.f64 x (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))
(* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))
(.f64 x (.f64 x (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))
(* 1/720 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/720 binary64)))
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))
(* 1/720 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/720 binary64)))
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))
(* -1/24 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/24 binary64))))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))
(* -1/24 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/24 binary64))))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))
(+ 1/2 (* -1/24 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))
(+ 1/2 (* -1/24 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))
(* -1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/24 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))
(* -1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/24 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))
(* -1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/24 binary64))
(* -1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/24 binary64))
(* -1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/24 binary64))
(* -1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/24 binary64))
(* -1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/24 binary64))
(* -1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/24 binary64))
(* -1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/24 binary64))
(* -1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/24 binary64))
(* -1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/24 binary64))
(* -1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/24 binary64))
(* -1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/24 binary64))
(* -1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/24 binary64))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))
(* -1/24 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/24 binary64))))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))
(* -1/24 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/24 binary64))))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
-1/24
#s(literal -1/24 binary64)
(- (* 1/720 (pow x 2)) 1/24)
(+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))
(- (* 1/720 (pow x 2)) 1/24)
(+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))
(- (* 1/720 (pow x 2)) 1/24)
(+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))

eval174.0ms (1.2%)

Memory: 20.2MiB live, 402.8MiB allocated
Compiler: Compiled 30 543 to 2 332 computations (92.4% saved)

prune113.0ms (0.8%)

Memory

-2.3MiB live, 280.6MiB allocated

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	1 221	2	1 223
Fresh	0	1	1
Picked	0	5	5
Done	0	1	1
Total	1 221	9	1 230

Accuracy

100.0%

Counts

1 230 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/24 binary64)))))
▶	98.9%	(/.f64 x (/.f64 #s(literal 2 binary64) x))
▶	58.1%	(-.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))) #s(literal 1 binary64))
✓	57.7%	(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))))
✓	99.1%	(*.f64 (/.f64 x #s(literal 2 binary64)) x)
✓	23.5%	(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
✓	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))
✓	100.0%	(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))
✓	56.7%	#s(literal 0 binary64)

Compiler

Compiled 100 to 63 computations (37% saved)

simplify392.0ms (2.7%)

Memory

35.6MiB live, 496.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	128	(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/24 binary64)))))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) x)
✓	cost-diff	0	(/.f64 x (/.f64 #s(literal 2 binary64) x))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))
✓	cost-diff	256	(-.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))) #s(literal 1 binary64))

Rules

7 424×	`accelerator-lowering-fma.f32`
7 424×	`accelerator-lowering-fma.f64`
2 592×	`+-lowering-+.f64`
2 592×	`--lowering--.f32`
2 592×	`+-lowering-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	111
1	54	111
2	155	103
3	404	103
4	770	103
5	1581	103
6	2420	103
7	3227	103
8	4241	103
9	4794	103
10	5013	103
11	5097	103
12	5119	103
13	5119	103
14	5128	103
15	5128	103
16	7742	103
17	7882	103
0	8004	95

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (- 1 (* (* x x) (+ -1/2 (* (* x x) 1/24)))) 1)
(- 1 (* (* x x) (+ -1/2 (* (* x x) 1/24))))
1
(* (* x x) (+ -1/2 (* (* x x) 1/24)))
(* x x)
x
(+ -1/2 (* (* x x) 1/24))
-1/2
(* (* x x) 1/24)
1/24
(/ x (/ 2 x))
x
(/ 2 x)
2
(/ (* x x) (/ 1 (+ 1/2 (* (* x x) -1/24))))
(* x x)
x
(/ 1 (+ 1/2 (* (* x x) -1/24)))
1
(+ 1/2 (* (* x x) -1/24))
1/2
(* (* x x) -1/24)
-1/24

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

localize151.0ms (1.1%)

Memory

-24.7MiB live, 302.4MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))
✓	accuracy	100.0%	(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/24 binary64)))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal -1/24 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) x)
✓	accuracy	99.8%	(/.f64 x (/.f64 #s(literal 2 binary64) x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/24 binary64))
✓	accuracy	58.1%	(-.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))) #s(literal 1 binary64))

Samples

94.0ms	191×	2	valid
18.0ms	62×	1	valid
0.0ms	3×	0	valid

Compiler

Compiled 111 to 21 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-add: 34.0ms (40.2% of total)

ival-div: 13.0ms (15.4% of total)

ival-mult: 12.0ms (14.2% of total)

adjust: 10.0ms (11.8% of total)

const: 7.0ms (8.3% of total)

ival-sub: 6.0ms (7.1% of total)

exact: 1.0ms (1.2% of total)

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

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

series3.0ms (0%)

Memory

7.8MiB live, 7.8MiB allocated

Counts

11 → 132

Calls

Call 1

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

Outputs
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* -1/24 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* -1/24 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))))>
#<alt (* -1/24 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/24))>
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/24))>
#<alt (* -1/24 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/24))>
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/24))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (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 (pow x 2)>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* -1/24 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* -1/24 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt 2>
#<alt (+ 2 (* 1/6 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 1/6 (* 1/72 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/72 (* 1/864 (pow x 2)))))))>
#<alt (/ -24 (pow x 2))>
#<alt (* -1 (/ (+ 24 (* 288 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 288 (* 3456 (/ 1 (pow x 2)))) (pow x 2))) 24) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 3456 (* 41472 (/ 1 (pow x 2)))) (pow x 4))) (+ 24 (* 288 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -24 (pow x 2))>
#<alt (* -1 (/ (+ 24 (* 288 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 288 (* 3456 (/ 1 (pow x 2)))) (pow x 2))) 24) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 3456 (* 41472 (/ 1 (pow x 2)))) (pow x 4))) (+ 24 (* 288 (/ 1 (pow x 2))))) (pow x 2))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (+ 1/2 (* -1/24 (pow x 2)))>
#<alt (* -1/24 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* -1/24 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* -1/24 (pow x 2))>
#<alt (* -1/24 (pow x 2))>
#<alt (* -1/24 (pow x 2))>
#<alt (* -1/24 (pow x 2))>
#<alt (* -1/24 (pow x 2))>
#<alt (* -1/24 (pow x 2))>
#<alt (* -1/24 (pow x 2))>
#<alt (* -1/24 (pow x 2))>
#<alt (* -1/24 (pow x 2))>
#<alt (* -1/24 (pow x 2))>
#<alt (* -1/24 (pow x 2))>
#<alt (* -1/24 (pow x 2))>

Calls

33 calls:

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

rewrite542.0ms (3.8%)

Memory

-44.6MiB live, 1 093.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 174×	`accelerator-lowering-fma.f32`
11 174×	`accelerator-lowering-fma.f64`
5 436×	`-lowering-.f32`
5 436×	`-lowering-.f64`
3 052×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	91
1	130	91
2	1085	83
0	9064	76

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 1 094

Calls

Call 1

Inputs
(- (- 1 (* (* x x) (+ -1/2 (* (* x x) 1/24)))) 1)
(- 1 (* (* x x) (+ -1/2 (* (* x x) 1/24))))
(* (* x x) (+ -1/2 (* (* x x) 1/24)))
(* x x)
(/ x (/ 2 x))
(/ 2 x)
(/ (* x x) (/ 1 (+ 1/2 (* (* x x) -1/24))))
(/ 1 (+ 1/2 (* (* x x) -1/24)))
(+ 1/2 (* (* x x) -1/24))
(* (* x x) 1/24)
(* (* x x) -1/24)

Outputs
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))))) #s(literal -1 binary64))
(+.f64 (/.f64 x (/.f64 #s(literal 2 binary64) x)) (.f64 x (.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x x)))))
(+.f64 (/.f64 x (/.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal -1/24 binary64) (.f64 x (*.f64 x x))))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))))))
(+.f64 #s(literal 0 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))))
(+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))) #s(literal 0 binary64))
(+.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))))) #s(literal 1 binary64))
(+.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))))))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))))))))
(+.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/24 binary64)))))))))
(+.f64 (.f64 x (.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x x)))) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal -1/24 binary64) (.f64 x (*.f64 x x))))) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
(+.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/24 binary64))) #s(literal -1 binary64)) (.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/24 binary64))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))) (.f64 x x))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))))) #s(literal 1 binary64))
(-.f64 (/.f64 x (/.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))))) (-.f64 (/.f64 (.f64 x (.f64 (.f64 x (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))))) (+.f64 (/.f64 (.f64 x (.f64 (.f64 x (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))) (-.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))) (+.f64 (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))))))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))))))))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/24 binary64))))))))
(-.f64 (.f64 x (.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/24 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))))))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))))) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))))) #s(literal -1 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
(-.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))))))) (/.f64 (.f64 x (.f64 (.f64 x (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))))))
(-.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))))) (/.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
(-.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(-.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))))) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x)) (.f64 x (.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x x)))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal -1/24 binary64) (.f64 x (*.f64 x x))))))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x x)))) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
(fma.f64 x (/.f64 x #s(literal 2 binary64)) (.f64 x (.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x x)))))
(fma.f64 x (/.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal -1/24 binary64) (.f64 x (*.f64 x x))))))
(fma.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/24 binary64)))) #s(literal 0 binary64))
(fma.f64 x (.f64 #s(literal -1/24 binary64) (.f64 x (*.f64 x x))) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
(fma.f64 x (neg.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
(fma.f64 x (.f64 (.f64 x #s(literal 1/24 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
(fma.f64 x (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (*.f64 x x) #s(literal 1/24 binary64))) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
(fma.f64 (.f64 x x) #s(literal 1/2 binary64) (.f64 x (.f64 #s(literal -1/24 binary64) (.f64 x (*.f64 x x)))))
(fma.f64 (.f64 x x) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x x))))))
(fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal -1/24 binary64)) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
(fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/24 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 x x) (.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
(fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 x (.f64 #s(literal -1/24 binary64) (.f64 x (*.f64 x x)))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x x))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) x)) (.f64 x (.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x x)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal -1/24 binary64) (.f64 x (*.f64 x x))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) x)) (.f64 x (.f64 #s(literal -1/24 binary64) (.f64 x (.f64 x x)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal -1/24 binary64) (.f64 x (*.f64 x x))))))
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(/.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) #s(literal -1/2 binary64)))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)) (neg.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/24 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/4 binary64) (neg.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (neg.f64 (+.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))) (+.f64 (.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))) (.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/24 binary64))))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))) (.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))) (+.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/48 binary64) (*.f64 x x)))))
(/.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal -1/4 binary64) (neg.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/4 binary64) (neg.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))))) (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/24 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (+.f64 (.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal -1/2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/24 binary64))))
(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/24 binary64))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)))))))
(.f64 (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)))))))
(.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/24 binary64)))))
(.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/24 binary64))))))
(.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal -1/4 binary64) (neg.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/24 binary64)))))
(.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64))))))
(.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/48 binary64) (*.f64 x x))))))
(.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64))))) #s(literal 1 binary64)))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal -1/2 binary64))))
(.f64 (pow.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/24 binary64)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/24 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64))))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/24 binary64)))))
(.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/24 binary64)))) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/576 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))
(.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64))))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))
(neg.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)))
(/.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) #s(literal -1 binary64))
(.f64 x (.f64 x #s(literal 1/24 binary64)))
(.f64 x (neg.f64 (.f64 x #s(literal -1/24 binary64))))
(.f64 x (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/24 binary64)))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(.f64 (.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1/24 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) #s(literal -1/24 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -1/24 binary64))
(.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x #s(literal -1/24 binary64)))
(.f64 (.f64 x #s(literal 1/24 binary64)) x)
(.f64 (.f64 x #s(literal -1/24 binary64)) (-.f64 #s(literal 0 binary64) x))
(.f64 (neg.f64 (.f64 x #s(literal -1/24 binary64))) x)
(.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/24 binary64)) x)
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
(neg.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)))
(/.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) #s(literal 1 binary64))
(.f64 x (.f64 x #s(literal -1/24 binary64)))
(.f64 x (neg.f64 (.f64 x #s(literal 1/24 binary64))))
(.f64 x (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/24 binary64)))
(.f64 (.f64 x x) #s(literal -1/24 binary64))
(.f64 #s(literal 1/24 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(.f64 #s(literal -1/24 binary64) (.f64 x x))
(.f64 (.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 1/24 binary64))
(.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x #s(literal 1/24 binary64)))
(.f64 (.f64 x #s(literal 1/24 binary64)) (-.f64 #s(literal 0 binary64) x))
(.f64 (.f64 x #s(literal -1/24 binary64)) x)
(.f64 (neg.f64 (.f64 x #s(literal 1/24 binary64))) x)
(.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/24 binary64)) x)

simplify414.0ms (2.9%)

Memory

39.3MiB live, 662.6MiB allocated

Algorithm

1×	egg-herbie

Rules

12 648×	`accelerator-lowering-fma.f32`
12 648×	`accelerator-lowering-fma.f64`
3 844×	`-lowering-.f32`
3 844×	`-lowering-.f64`
1 804×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	944
1	172	944
2	453	938
3	1028	938
4	2267	938
5	5200	938
0	8318	881

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* -1/24 (pow x 4))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* -1/24 (pow x 4))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))))
(* -1/24 (pow x 4))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/24))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/24))
(* -1/24 (pow x 4))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/24))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/24))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* -1/24 (pow x 4))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* -1/24 (pow x 4))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
2
(+ 2 (* 1/6 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/6 (* 1/72 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/72 (* 1/864 (pow x 2)))))))
(/ -24 (pow x 2))
(* -1 (/ (+ 24 (* 288 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 288 (* 3456 (/ 1 (pow x 2)))) (pow x 2))) 24) (pow x 2))
(/ (- (* -1 (/ (+ 3456 (* 41472 (/ 1 (pow x 2)))) (pow x 4))) (+ 24 (* 288 (/ 1 (pow x 2))))) (pow x 2))
(/ -24 (pow x 2))
(* -1 (/ (+ 24 (* 288 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 288 (* 3456 (/ 1 (pow x 2)))) (pow x 2))) 24) (pow x 2))
(/ (- (* -1 (/ (+ 3456 (* 41472 (/ 1 (pow x 2)))) (pow x 4))) (+ 24 (* 288 (/ 1 (pow x 2))))) (pow x 2))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* -1/24 (pow x 2)))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* -1/24 (pow x 2))
(* -1/24 (pow x 2))
(* -1/24 (pow x 2))
(* -1/24 (pow x 2))
(* -1/24 (pow x 2))
(* -1/24 (pow x 2))
(* -1/24 (pow x 2))
(* -1/24 (pow x 2))
(* -1/24 (pow x 2))
(* -1/24 (pow x 2))
(* -1/24 (pow x 2))
(* -1/24 (pow x 2))

Outputs
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* -1/24 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/24 binary64))))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* -1/24 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/24 binary64))))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))
(* -1/24 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/24 binary64))))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/24))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/24))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))
(* -1/24 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/24 binary64))))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/24))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 1/24))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))
(* -1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* 1/24 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* 1/24 (pow x 4))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* -1/24 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/24 binary64))))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* -1/24 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/24 binary64))))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))
2
#s(literal 2 binary64)
(+ 2 (* 1/6 (pow x 2)))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(+ 2 (* (pow x 2) (+ 1/6 (* 1/72 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/72 binary64)))))))
(+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/72 (* 1/864 (pow x 2)))))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/72 binary64) (.f64 (.f64 x x) #s(literal 1/864 binary64)))))))
(/ -24 (pow x 2))
(/.f64 #s(literal -24 binary64) (*.f64 x x))
(* -1 (/ (+ 24 (* 288 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 288 (* 3456 (/ 1 (pow x 2)))) (pow x 2))) 24) (pow x 2))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 (+.f64 #s(literal -288 binary64) (/.f64 #s(literal -3456 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 3456 (* 41472 (/ 1 (pow x 2)))) (pow x 4))) (+ 24 (* 288 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 #s(literal -24 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (/.f64 (-.f64 #s(literal -3456 binary64) (/.f64 #s(literal 41472 binary64) (.f64 x x))) (.f64 x x)) #s(literal -288 binary64)))) (*.f64 x x))
(/ -24 (pow x 2))
(/.f64 #s(literal -24 binary64) (*.f64 x x))
(* -1 (/ (+ 24 (* 288 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 #s(literal -288 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 288 (* 3456 (/ 1 (pow x 2)))) (pow x 2))) 24) (pow x 2))
(/.f64 (+.f64 #s(literal -24 binary64) (/.f64 (+.f64 #s(literal -288 binary64) (/.f64 #s(literal -3456 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 3456 (* 41472 (/ 1 (pow x 2)))) (pow x 4))) (+ 24 (* 288 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 #s(literal -24 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (/.f64 (-.f64 #s(literal -3456 binary64) (/.f64 #s(literal 41472 binary64) (.f64 x x))) (.f64 x x)) #s(literal -288 binary64)))) (*.f64 x x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))
(+ 1/2 (* -1/24 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))
(+ 1/2 (* -1/24 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))
(* -1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/24 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))
(* -1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/24 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))
(* 1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(* 1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(* 1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(* 1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(* 1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(* 1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(* 1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(* 1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(* 1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(* 1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(* 1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(* 1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(* -1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/24 binary64))
(* -1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/24 binary64))
(* -1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/24 binary64))
(* -1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/24 binary64))
(* -1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/24 binary64))
(* -1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/24 binary64))
(* -1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/24 binary64))
(* -1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/24 binary64))
(* -1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/24 binary64))
(* -1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/24 binary64))
(* -1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/24 binary64))
(* -1/24 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/24 binary64))

eval153.0ms (1.1%)

Memory: -1.3MiB live, 339.3MiB allocated
Compiler: Compiled 39 222 to 2 365 computations (94% saved)

prune122.0ms (0.9%)

Memory

18.2MiB live, 236.2MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	1 320	2	1 322
Fresh	0	0	0
Picked	1	2	3
Done	1	5	6
Total	1 322	9	1 331

Accuracy

100.0%

Counts

1 331 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.7%	(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	98.9%	(/.f64 x (/.f64 #s(literal 2 binary64) x))
✓	58.1%	(-.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))) #s(literal 1 binary64))
	57.7%	(-.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64))
✓	99.1%	(*.f64 (/.f64 x #s(literal 2 binary64)) x)
✓	23.5%	(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
✓	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))
✓	100.0%	(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))
✓	56.7%	#s(literal 0 binary64)

Compiler

Compiled 288 to 131 computations (54.5% saved)

regimes53.0ms (0.4%)

Memory

-13.9MiB live, 24.9MiB allocated

Counts

18 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(*.f64 (/.f64 x #s(literal 2 binary64)) x)
(/.f64 x (/.f64 #s(literal 2 binary64) x))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))))
(-.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/24 binary64)))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))))))
(-.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))) #s(literal 1 binary64))
(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (-.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal -1/720 binary64))))))
(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) #s(literal -1/40320 binary64)))))))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))

Outputs
(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))

Calls

3 calls:

42.0ms	(cos.f64 x)
6.0ms	x
4.0ms	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes5.0ms (0%)

Memory

12.3MiB live, 12.3MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0%)

Memory

-25.8MiB live, 12.5MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
99.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 x x))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))

Outputs
#s(literal 0 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
56.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify7.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
6×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	39
1	30	39

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))
(*.f64 (/.f64 x #s(literal 2 binary64)) x)
(.f64 #s(literal 1/2 binary64) (.f64 x x))
#s(literal 0 binary64)

Outputs
(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/720 binary64)))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64))))
(*.f64 (/.f64 x #s(literal 2 binary64)) x)
(*.f64 x (/.f64 x #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
#s(literal 0 binary64)

soundness4.3s (29.8%)

Memory

11.6MiB live, 3 064.1MiB allocated

Rules

32 720×	`accelerator-lowering-fma.f32`
32 720×	`accelerator-lowering-fma.f64`
12 824×	`accelerator-lowering-fma.f32`
12 824×	`accelerator-lowering-fma.f64`
4 744×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	1932
1	378	1926
2	978	1926
3	2963	1910
4	5369	1910
5	7232	1910
0	8090	1833
0	41	144
1	101	144
2	246	144
3	589	144
4	1230	144
5	1905	144
6	2165	144
7	2814	144
8	4054	144
9	5622	144
10	6523	144
11	6804	144
12	6843	144
13	6843	144
14	7276	144
15	7552	144
16	7593	144
17	7595	144
18	7595	144
19	7595	144
20	7595	144
21	7605	144
22	7605	144
23	7605	144
0	8510	132
0	33	188
1	204	183
2	1772	183
0	8401	165

Stop Event

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

Compiler

Compiled 122 to 71 computations (41.8% saved)

preprocess62.0ms (0.4%)

Memory: 4.2MiB live, 139.7MiB allocated
Remove: (abs x)
Compiler: Compiled 184 to 104 computations (43.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	13
1	17	12
2	36	12
3	56	12
4	88	12
5	104	12
6	110	12
0	4	4
1	8	4
2	12	4
3	17	4
4	23	4
5	31	4
6	41	4
7	52	4
8	55	4
0	55	4

Iter	Nodes	Cost
0	8	13
1	17	12
2	36	12
3	56	12
4	88	12
5	104	12
6	110	12
0	4	4
1	8	4
2	12	4
3	17	4
4	23	4
5	31	4
6	41	4
7	52	4
8	55	4
0	55	4

analyze3.0ms (0%)

sample2.5s (17.6%)

preprocess19.0ms (0.1%)

explain161.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify25.0ms (0.2%)

localize56.0ms (0.4%)

series1.0ms (0%)

rewrite426.0ms (3%)

simplify956.0ms (6.7%)

eval55.0ms (0.4%)

prune103.0ms (0.7%)

simplify444.0ms (3.1%)

localize144.0ms (1%)

series16.0ms (0.1%)

rewrite733.0ms (5.1%)

simplify493.0ms (3.5%)

eval142.0ms (1%)

prune133.0ms (0.9%)

simplify366.0ms (2.6%)

localize121.0ms (0.8%)

series7.0ms (0%)

rewrite612.0ms (4.3%)

simplify285.0ms (2%)

eval174.0ms (1.2%)

prune113.0ms (0.8%)

simplify392.0ms (2.7%)

localize151.0ms (1.1%)

series3.0ms (0%)

rewrite542.0ms (3.8%)

simplify414.0ms (2.9%)

eval153.0ms (1.1%)

prune122.0ms (0.9%)

regimes53.0ms (0.4%)

regimes5.0ms (0%)

regimes6.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

simplify7.0ms (0.1%)

soundness4.3s (29.8%)

preprocess62.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	13
1	17	12
2	36	12
3	56	12
4	88	12
5	104	12
6	110	12
0	4	4
1	8	4
2	12	4
3	17	4
4	23	4
5	31	4
6	41	4
7	52	4
8	55	4
0	55	4