Metrics for sintan (problem 3.4.5)

analyze352.0ms (1.8%)

Memory

46.2MiB live, 431.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	49.9%	50.1%	0%	0%	0%	0
0%	0%	49.9%	50.1%	0%	0%	0%	1
0%	0%	49.9%	50.1%	0%	0%	0%	2
0%	0%	49.9%	50.1%	0%	0%	0%	3
0%	0%	49.9%	50.1%	0%	0%	0%	4
0%	0%	49.9%	50.1%	0%	0%	0%	5
0%	0%	49.9%	50.1%	0%	0%	0%	6
0%	0%	49.9%	50.1%	0%	0%	0%	7
0%	0%	49.9%	50.1%	0%	0%	0%	8
0%	0%	49.9%	50.1%	0%	0%	0%	9
0%	0%	49.9%	50.1%	0%	0%	0%	10
0%	0%	49.9%	50.1%	0%	0%	0%	11
0%	0%	49.9%	50.1%	0%	0%	0%	12

Compiler

Compiled 17 to 12 computations (29.4% saved)

sample9.3s (47.9%)

Memory

90.0MiB live, 11 679.9MiB allocated

Samples

6.5s	4 468×	2	valid
1.7s	1 337×	3	valid
665.0ms	2 359×	1	valid
13.0ms	92×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 8.1s

ival-tan: 4.5s (55.9% of total)

ival-sin: 2.4s (30.2% of total)

ival-sub: 336.0ms (4.2% of total)

adjust: 279.0ms (3.5% of total)

const: 261.0ms (3.2% of total)

ival-<=: 128.0ms (1.6% of total)

ival-div: 100.0ms (1.2% of total)

ival-and: 13.0ms (0.2% of total)

ival-assert: 3.0ms (0% of total)

Bogosity

preprocess55.0ms (0.3%)

Memory

14.8MiB live, 52.4MiB allocated

Algorithm

2×	egg-herbie

Rules

320×	`accelerator-lowering-fma.f32`
320×	`accelerator-lowering-fma.f64`
192×	`-lowering-.f32`
192×	`-lowering-.f64`
142×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	32
1	37	30
2	84	27
3	247	27
4	508	27
5	690	27
6	714	27
7	752	27
8	781	27
0	6	9
1	13	9
2	23	9
3	40	9
4	74	9
5	146	9
6	322	9
7	622	9
8	936	9
9	951	9
10	952	9
0	952	9

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ (- eps (sin eps)) (- eps (tan eps)))

Outputs
(/ (- eps (sin eps)) (- eps (tan eps)))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Call 2

Inputs
(/ (- eps (sin eps)) (- eps (tan eps)))
(/ (- (neg eps) (sin (neg eps))) (- (neg eps) (tan (neg eps))))
(neg (/ (- (neg eps) (sin (neg eps))) (- (neg eps) (tan (neg eps)))))

Outputs
(/ (- eps (sin eps)) (- eps (tan eps)))
(/ (- (neg eps) (sin (neg eps))) (- (neg eps) (tan (neg eps))))
(/ (- eps (sin eps)) (- eps (tan eps)))
(neg (/ (- (neg eps) (sin (neg eps))) (- (neg eps) (tan (neg eps)))))
(/ (- eps (sin eps)) (- (tan eps) eps))

Symmetry

(abs eps)

explain523.0ms (2.7%)

Memory

-33.5MiB live, 502.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
158	0	-	2	(7.706949807368913e-107)	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`
100	0	-	0	-	`(-.f64 eps (sin.f64 eps))`
99	1	(0.1403613390585877)	0	-	`(-.f64 eps (tan.f64 eps))`
0	0	-	0	-	`(tan.f64 eps)`
0	0	-	0	-	`eps`
0	0	-	0	-	`(sin.f64 eps)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`	u/u	156	0
↳	`(-.f64 eps (sin.f64 eps))`	underflow	156
↳	`(-.f64 eps (tan.f64 eps))`	underflow	156
`-.f64`	`(-.f64 eps (sin.f64 eps))`	cancellation	100	0
`-.f64`	`(-.f64 eps (tan.f64 eps))`	cancellation	100	0

Confusion

	Predicted +	Predicted -
+	255	0
-	1	0

Precision

0.99609375

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	255	0	0
-	1	0	0

Precision?

0.99609375

Recall?

1.0

Freqs

test

number	freq
1	156
2	100

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

336.0ms	260×	2	valid
96.0ms	78×	3	valid
25.0ms	162×	1	valid
1.0ms	12×	0	valid

Compiler

Compiled 68 to 28 computations (58.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 434.0ms

ival-tan: 226.0ms (52% of total)

ival-sin: 178.0ms (41% of total)

ival-sub: 14.0ms (3.2% of total)

adjust: 11.0ms (2.5% of total)

ival-div: 6.0ms (1.4% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	2.6%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify29.0ms (0.1%)

Memory

-4.3MiB live, 33.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(-.f64 eps (tan.f64 eps))
✓	cost-diff	(sin.f64 eps)
✓	cost-diff	(-.f64 eps (sin.f64 eps))
✓	cost-diff	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Rules

320×	`accelerator-lowering-fma.f32`
320×	`accelerator-lowering-fma.f64`
192×	`-lowering-.f32`
192×	`-lowering-.f64`
142×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	22
1	13	22
2	23	22
3	40	22
4	74	22
5	146	22
6	322	22
7	622	22
8	936	22
9	951	22
10	952	22
0	952	22

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (- eps (sin eps)) (- eps (tan eps)))
(- eps (sin eps))
eps
(sin eps)
(- eps (tan eps))
(tan eps)

Outputs
(/ (- eps (sin eps)) (- eps (tan eps)))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(- eps (sin eps))
(-.f64 eps (sin.f64 eps))
eps
(sin eps)
(sin.f64 eps)
(- eps (tan eps))
(-.f64 eps (tan.f64 eps))
(tan eps)
(tan.f64 eps)

localize225.0ms (1.2%)

Memory

6.0MiB live, 164.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 eps)
✓	accuracy	66.6%	(-.f64 eps (tan.f64 eps))
✓	accuracy	66.6%	(-.f64 eps (sin.f64 eps))
✓	accuracy	39.0%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Samples

165.0ms	130×	2	valid
36.0ms	39×	3	valid
12.0ms	81×	1	valid
0.0ms	6×	0	valid

Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions

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

ival-tan: 141.0ms (70% of total)

ival-sin: 45.0ms (22.3% of total)

ival-sub: 7.0ms (3.5% of total)

adjust: 6.0ms (3% of total)

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

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

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

series4.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (/ (- eps (sin eps)) (- eps (tan eps)))>
#<alt (- eps (sin eps))>
#<alt (sin eps)>
#<alt (- eps (tan eps))>

Outputs
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))>
#<alt (* 1/6 (pow eps 3))>
#<alt (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))>
#<alt eps>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt eps>
#<alt (* eps (+ 1 (* -1/6 (pow eps 2))))>
#<alt (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))>
#<alt (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (* -1/3 (pow eps 3))>
#<alt (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))>
#<alt eps>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	inf	(/ (- eps (sin eps)) (- eps (tan eps)))
1.0ms	eps	@	-inf	(/ (- eps (sin eps)) (- eps (tan eps)))
1.0ms	eps	@	0	(/ (- eps (sin eps)) (- eps (tan eps)))
0.0ms	eps	@	-inf	(- eps (tan eps))
0.0ms	eps	@	inf	(- eps (tan eps))

rewrite472.0ms (2.4%)

Memory

15.9MiB live, 363.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 318×	`-lowering-.f32`
4 318×	`-lowering-.f64`
3 264×	`/-lowering-/.f32`
3 264×	`/-lowering-/.f64`
2 758×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
1	46	19
2	403	19
3	5950	19
0	8261	19

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 419

Calls

Call 1

Inputs
(/ (- eps (sin eps)) (- eps (tan eps)))
(- eps (sin eps))
(sin eps)
(- eps (tan eps))

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

simplify534.0ms (2.8%)

Memory

25.3MiB live, 690.5MiB allocated

Algorithm

1×	egg-herbie

Rules

12 288×	`accelerator-lowering-fma.f32`
12 288×	`accelerator-lowering-fma.f64`
6 122×	`-lowering-.f32`
6 122×	`-lowering-.f64`
1 424×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	561
1	422	524
2	1321	499
3	5650	444
0	8479	418

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal -27/2800 binary64))))) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))))) #s(literal -1/2 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) eps))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (/.f64 #s(literal -1 binary64) eps) (/.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) eps)) eps))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 (sin.f64 eps) (+.f64 (/.f64 #s(literal -1 binary64) eps) (/.f64 (.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))))) (.f64 (.f64 eps eps) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (*.f64 eps eps)) (/.f64 #s(literal -1 binary64) eps)))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) eps))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) eps))) (sin.f64 eps)) eps))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps) (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))))) eps))
(* 1/6 (pow eps 3))
(.f64 (.f64 eps (*.f64 eps eps)) #s(literal 1/6 binary64))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(.f64 eps (.f64 eps (.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 eps eps) #s(literal -1/120 binary64))))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 eps eps) #s(literal 1/5040 binary64))))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(.f64 eps (.f64 (.f64 eps eps) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 eps eps) #s(literal -1/362880 binary64)))))))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(-.f64 eps (sin.f64 eps))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(-.f64 eps (sin.f64 eps))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(-.f64 eps (sin.f64 eps))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(-.f64 eps (sin.f64 eps))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(-.f64 eps (sin.f64 eps))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(-.f64 eps (sin.f64 eps))
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/6 binary64) (.f64 eps (*.f64 eps #s(literal 1/120 binary64)))))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 eps eps) #s(literal -1/5040 binary64))))))))
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(* -1/3 (pow eps 3))
(.f64 (.f64 eps (*.f64 eps eps)) #s(literal -1/3 binary64))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(.f64 (.f64 eps eps) (.f64 eps (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 eps eps) #s(literal -2/15 binary64)))))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(.f64 eps (.f64 eps (.f64 eps (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/15 binary64) (.f64 (*.f64 eps eps) #s(literal -17/315 binary64))))))))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
(.f64 (.f64 eps eps) (.f64 eps (+.f64 #s(literal -1/3 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -2/15 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -17/315 binary64) (.f64 eps (*.f64 eps #s(literal -62/2835 binary64))))))))))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))

eval114.0ms (0.6%)

Memory: -3.7MiB live, 75.5MiB allocated
Compiler: Compiled 12 959 to 1 267 computations (90.2% saved)

prune83.0ms (0.4%)

Memory

-60.3MiB live, 137.4MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	457	10	467
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	457	11	468

Accuracy

100.0%

Counts

468 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	2.3%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps))
▶	2.4%	(/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 eps (tan.f64 eps))))
	2.7%	(/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (neg.f64 (+.f64 (neg.f64 (.f64 eps (.f64 eps eps))) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (+.f64 (.f64 eps eps) (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))))
✓	2.6%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
	2.6%	(/.f64 (.f64 eps (.f64 (.f64 eps eps) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 eps eps) #s(literal -1/362880 binary64))))))))) (-.f64 eps (tan.f64 eps)))
▶	99.9%	(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))))) #s(literal -1/2 binary64))
▶	99.7%	(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal -27/2800 binary64))))) #s(literal -1/2 binary64))
	99.1%	(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))
	2.7%	(.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (neg.f64 (.f64 eps (.f64 eps eps))) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 eps eps) (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))))
▶	1.6%	(.f64 (/.f64 (+.f64 (-.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 eps #s(literal 2 binary64))))) (-.f64 eps (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (+.f64 eps (sin.f64 eps))))
▶	98.3%	#s(literal -1/2 binary64)

Compiler

Compiled 400 to 242 computations (39.5% saved)

simplify310.0ms (1.6%)

Memory

26.0MiB live, 538.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 eps)
✓	cost-diff	0	(-.f64 eps (sin.f64 eps))
✓	cost-diff	0	(/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 eps (tan.f64 eps))))
✓	cost-diff	13248	(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 eps (tan.f64 eps)))
✓	cost-diff	0	(-.f64 (*.f64 eps eps) #s(literal 1/2 binary64))
✓	cost-diff	0	(+.f64 (-.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 eps #s(literal 2 binary64)))))
✓	cost-diff	0	(/.f64 (+.f64 (-.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 eps #s(literal 2 binary64))))) (-.f64 eps (tan.f64 eps)))
✓	cost-diff	128	(.f64 (/.f64 (+.f64 (-.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 eps #s(literal 2 binary64))))) (-.f64 eps (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (+.f64 eps (sin.f64 eps))))
✓	cost-diff	0	(+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal -27/2800 binary64))))
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal -27/2800 binary64)))))
✓	cost-diff	0	(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal -27/2800 binary64))))) #s(literal -1/2 binary64))
✓	cost-diff	0	(+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))))
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)))))))
✓	cost-diff	0	(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))))) #s(literal -1/2 binary64))

Rules

9 856×	`accelerator-lowering-fma.f32`
9 856×	`accelerator-lowering-fma.f64`
3 786×	`-lowering-.f32`
3 786×	`-lowering-.f64`
1 548×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	283
1	105	281
2	270	281
3	612	281
4	1473	274
5	3913	272
0	8271	251

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (* eps eps) (+ 9/40 (* eps (* eps (+ -27/2800 (* (* eps eps) 27/112000)))))) -1/2)
(* (* eps eps) (+ 9/40 (* eps (* eps (+ -27/2800 (* (* eps eps) 27/112000))))))
(* eps eps)
eps
(+ 9/40 (* eps (* eps (+ -27/2800 (* (* eps eps) 27/112000)))))
9/40
(* eps (* eps (+ -27/2800 (* (* eps eps) 27/112000))))
(* eps (+ -27/2800 (* (* eps eps) 27/112000)))
(+ -27/2800 (* (* eps eps) 27/112000))
-27/2800
(* (* eps eps) 27/112000)
27/112000
-1/2
-1/2
(+ (* (* eps eps) (+ 9/40 (* eps (* eps -27/2800)))) -1/2)
(* (* eps eps) (+ 9/40 (* eps (* eps -27/2800))))
(* eps eps)
eps
(+ 9/40 (* eps (* eps -27/2800)))
9/40
(* eps (* eps -27/2800))
(* eps -27/2800)
-27/2800
-1/2
(* (/ (+ (- (* eps eps) 1/2) (* 1/2 (cos (* eps 2)))) (- eps (tan eps))) (/ 1 (+ eps (sin eps))))
(/ (+ (- (* eps eps) 1/2) (* 1/2 (cos (* eps 2)))) (- eps (tan eps)))
(+ (- (* eps eps) 1/2) (* 1/2 (cos (* eps 2))))
(- (* eps eps) 1/2)
(* eps eps)
eps
1/2
(* 1/2 (cos (* eps 2)))
(cos (* eps 2))
(* eps 2)
2
(- eps (tan eps))
(tan eps)
(/ 1 (+ eps (sin eps)))
1
(+ eps (sin eps))
(sin eps)
(/ (- eps (sin eps)) (/ (- (* eps eps) (pow (tan eps) 2)) (+ eps (tan eps))))
(- eps (sin eps))
eps
(sin eps)
(/ (- (* eps eps) (pow (tan eps) 2)) (+ eps (tan eps)))
(- (* eps eps) (pow (tan eps) 2))
(* eps eps)
(pow (tan eps) 2)
(tan eps)
2
(+ eps (tan eps))

Outputs
(+ (* (* eps eps) (+ 9/40 (* eps (* eps (+ -27/2800 (* (* eps eps) 27/112000)))))) -1/2)
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))))) #s(literal -1/2 binary64))
(* (* eps eps) (+ 9/40 (* eps (* eps (+ -27/2800 (* (* eps eps) 27/112000))))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)))))))
(* eps eps)
(*.f64 eps eps)
eps
(+ 9/40 (* eps (* eps (+ -27/2800 (* (* eps eps) 27/112000)))))
(+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))))
9/40
#s(literal 9/40 binary64)
(* eps (* eps (+ -27/2800 (* (* eps eps) 27/112000))))
(.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)))))
(* eps (+ -27/2800 (* (* eps eps) 27/112000)))
(.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (*.f64 eps eps) #s(literal 27/112000 binary64))))
(+ -27/2800 (* (* eps eps) 27/112000))
(+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)))
-27/2800
#s(literal -27/2800 binary64)
(* (* eps eps) 27/112000)
(.f64 (.f64 eps eps) #s(literal 27/112000 binary64))
27/112000
#s(literal 27/112000 binary64)
-1/2
#s(literal -1/2 binary64)
-1/2
#s(literal -1/2 binary64)
(+ (* (* eps eps) (+ 9/40 (* eps (* eps -27/2800)))) -1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))))
(* (* eps eps) (+ 9/40 (* eps (* eps -27/2800))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))))
(* eps eps)
(*.f64 eps eps)
eps
(+ 9/40 (* eps (* eps -27/2800)))
(+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))
9/40
#s(literal 9/40 binary64)
(* eps (* eps -27/2800))
(.f64 (.f64 eps eps) #s(literal -27/2800 binary64))
(* eps -27/2800)
(*.f64 eps #s(literal -27/2800 binary64))
-27/2800
#s(literal -27/2800 binary64)
-1/2
#s(literal -1/2 binary64)
(* (/ (+ (- (* eps eps) 1/2) (* 1/2 (cos (* eps 2)))) (- eps (tan eps))) (/ 1 (+ eps (sin eps))))
(/.f64 (+.f64 (+.f64 (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 eps #s(literal 2 binary64))))) (.f64 (-.f64 eps (tan.f64 eps)) (+.f64 eps (sin.f64 eps))))
(/ (+ (- (* eps eps) 1/2) (* 1/2 (cos (* eps 2)))) (- eps (tan eps)))
(/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 eps #s(literal 2 binary64)))) (+.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) (-.f64 (tan.f64 eps) eps))
(+ (- (* eps eps) 1/2) (* 1/2 (cos (* eps 2))))
(+.f64 (+.f64 (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 eps #s(literal 2 binary64)))))
(- (* eps eps) 1/2)
(+.f64 (*.f64 eps eps) #s(literal -1/2 binary64))
(* eps eps)
(*.f64 eps eps)
eps
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos (* eps 2)))
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 eps #s(literal 2 binary64))))
(cos (* eps 2))
(cos.f64 (*.f64 eps #s(literal 2 binary64)))
(* eps 2)
(*.f64 eps #s(literal 2 binary64))
2
#s(literal 2 binary64)
(- eps (tan eps))
(-.f64 eps (tan.f64 eps))
(tan eps)
(tan.f64 eps)
(/ 1 (+ eps (sin eps)))
(/.f64 #s(literal 1 binary64) (+.f64 eps (sin.f64 eps)))
1
#s(literal 1 binary64)
(+ eps (sin eps))
(+.f64 eps (sin.f64 eps))
(sin eps)
(sin.f64 eps)
(/ (- eps (sin eps)) (/ (- (* eps eps) (pow (tan eps) 2)) (+ eps (tan eps))))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(- eps (sin eps))
(-.f64 eps (sin.f64 eps))
eps
(sin eps)
(sin.f64 eps)
(/ (- (* eps eps) (pow (tan eps) 2)) (+ eps (tan eps)))
(-.f64 eps (tan.f64 eps))
(- (* eps eps) (pow (tan eps) 2))
(-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))
(* eps eps)
(*.f64 eps eps)
(pow (tan eps) 2)
(pow.f64 (tan.f64 eps) #s(literal 2 binary64))
(tan eps)
(tan.f64 eps)
2
#s(literal 2 binary64)
(+ eps (tan eps))
(+.f64 eps (tan.f64 eps))

localize620.0ms (3.2%)

Memory

-7.3MiB live, 1 140.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	92.9%	(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 eps (tan.f64 eps)))
✓	accuracy	73.9%	(-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))
✓	accuracy	66.6%	(-.f64 eps (sin.f64 eps))
✓	accuracy	39.0%	(/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 eps (tan.f64 eps))))
✓	accuracy	99.7%	(.f64 (/.f64 (+.f64 (-.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 eps #s(literal 2 binary64))))) (-.f64 eps (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (+.f64 eps (sin.f64 eps))))
✓	accuracy	73.2%	(+.f64 (-.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 eps #s(literal 2 binary64)))))
✓	accuracy	66.6%	(-.f64 eps (tan.f64 eps))
✓	accuracy	30.9%	(/.f64 (+.f64 (-.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 eps #s(literal 2 binary64))))) (-.f64 eps (tan.f64 eps)))
✓	accuracy	100.0%	(*.f64 eps eps)
✓	accuracy	99.8%	(.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal -27/2800 binary64)))))
✓	accuracy	99.7%	(.f64 eps (.f64 eps #s(literal -27/2800 binary64)))
✓	accuracy	99.4%	(*.f64 eps #s(literal -27/2800 binary64))
✓	accuracy	99.8%	(.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)))))))
✓	accuracy	99.7%	(.f64 (.f64 eps eps) #s(literal 27/112000 binary64))
✓	accuracy	99.7%	(.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)))))
✓	accuracy	99.4%	(.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (*.f64 eps eps) #s(literal 27/112000 binary64))))

Samples

349.0ms	118×	3	valid
99.0ms	71×	2	valid
34.0ms	49×	1	valid
30.0ms	13×	4	valid
1.0ms	5×	0	valid

Compiler

Compiled 294 to 41 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 444.0ms

ival-tan: 139.0ms (31.3% of total)

ival-cos: 64.0ms (14.4% of total)

ival-mult: 54.0ms (12.1% of total)

ival-sin: 47.0ms (10.6% of total)

ival-div: 45.0ms (10.1% of total)

adjust: 30.0ms (6.7% of total)

ival-add: 27.0ms (6.1% of total)

const: 16.0ms (3.6% of total)

ival-sub: 14.0ms (3.1% of total)

ival-pow2: 8.0ms (1.8% of total)

exact: 1.0ms (0.2% of total)

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

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

series24.0ms (0.1%)

Memory

0.2MiB live, 41.3MiB allocated

Counts

22 → 264

Calls

Call 1

Inputs
#<alt (+ (* (* eps eps) (+ 9/40 (* eps (* eps (+ -27/2800 (* (* eps eps) 27/112000)))))) -1/2)>
#<alt (* (* eps eps) (+ 9/40 (* eps (* eps (+ -27/2800 (* (* eps eps) 27/112000))))))>
#<alt (* eps eps)>
#<alt (+ 9/40 (* eps (* eps (+ -27/2800 (* (* eps eps) 27/112000)))))>
#<alt (+ (* (* eps eps) (+ 9/40 (* eps (* eps -27/2800)))) -1/2)>
#<alt (* (* eps eps) (+ 9/40 (* eps (* eps -27/2800))))>
#<alt (+ 9/40 (* eps (* eps -27/2800)))>
#<alt (* (/ (+ (- (* eps eps) 1/2) (* 1/2 (cos (* eps 2)))) (- eps (tan eps))) (/ 1 (+ eps (sin eps))))>
#<alt (/ (+ (- (* eps eps) 1/2) (* 1/2 (cos (* eps 2)))) (- eps (tan eps)))>
#<alt (+ (- (* eps eps) 1/2) (* 1/2 (cos (* eps 2))))>
#<alt (- (* eps eps) 1/2)>
#<alt (/ (- (* eps eps) (pow (tan eps) 2)) (+ eps (tan eps)))>
#<alt (/ (- eps (sin eps)) (/ (- (* eps eps) (pow (tan eps) 2)) (+ eps (tan eps))))>
#<alt (- eps (sin eps))>
#<alt (sin eps)>
#<alt (* eps (+ -27/2800 (* (* eps eps) 27/112000)))>
#<alt (* eps (* eps (+ -27/2800 (* (* eps eps) 27/112000))))>
#<alt (* (* eps eps) 27/112000)>
#<alt (* eps -27/2800)>
#<alt (* eps (* eps -27/2800))>
#<alt (- eps (tan eps))>
#<alt (- (* eps eps) (pow (tan eps) 2))>

Outputs
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt (* 27/112000 (pow eps 6))>
#<alt (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))>
#<alt (* 27/112000 (pow eps 6))>
#<alt (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))>
#<alt (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))>
#<alt (* 27/112000 (pow eps 6))>
#<alt (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* 27/112000 (pow eps 6))>
#<alt (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt 9/40>
#<alt (+ 9/40 (* -27/2800 (pow eps 2)))>
#<alt (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))>
#<alt (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))>
#<alt (* 27/112000 (pow eps 4))>
#<alt (* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* 27/112000 (pow eps 4))>
#<alt (* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (* -27/2800 (pow eps 4))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))>
#<alt (* -27/2800 (pow eps 4))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))>
#<alt (* -27/2800 (pow eps 4))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* -27/2800 (pow eps 4))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt 9/40>
#<alt (+ 9/40 (* -27/2800 (pow eps 2)))>
#<alt (+ 9/40 (* -27/2800 (pow eps 2)))>
#<alt (+ 9/40 (* -27/2800 (pow eps 2)))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps)))>
#<alt (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (+ (/ 1/2 (pow eps 2)) (/ (sin eps) eps))))))>
#<alt (- (+ 1 (+ (* -1 (/ (+ (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (- (* 1/2 (cos (* 2 eps))) (+ 1/2 (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)))))) (/ (* (pow (sin eps) 2) (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) (pow eps 3))) (* 1/2 (/ (cos (* 2 eps)) (pow eps 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (+ (/ 1/2 (pow eps 2)) (/ (sin eps) eps))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (- (* 1/2 (cos (* 2 eps))) 1/2) eps)))) (+ (/ (pow (sin eps) 2) (* eps (cos eps))) (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) eps))) eps)))>
#<alt (+ 1 (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1 (- (* -1 (- (* 1/2 (cos (* 2 eps))) 1/2)) (+ (/ (pow (sin eps) 2) (cos eps)) (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)))) (* -1 (/ (+ (* -1 (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (- (* -1 (- (* 1/2 (cos (* 2 eps))) 1/2)) (+ (/ (pow (sin eps) 2) (cos eps)) (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2))))) (/ (* (pow (sin eps) 2) (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) eps))) eps)))) eps)))>
#<alt (* -1 eps)>
#<alt (* eps (- (* 8/15 (pow eps 2)) 1))>
#<alt (* eps (- (* (pow eps 2) (+ 8/15 (* -32/525 (pow eps 2)))) 1))>
#<alt (* eps (- (* (pow eps 2) (+ 8/15 (* (pow eps 2) (- (* 32/7875 (pow eps 2)) 32/525)))) 1))>
#<alt eps>
#<alt (* eps (+ 1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (* eps (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ 1/2 (pow eps 2))))))>
#<alt (* eps (- (+ 1 (+ (* 1/2 (/ (cos (* 2 eps)) (pow eps 2))) (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) (+ 1/2 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (* (pow eps 3) (cos eps))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ 1/2 (pow eps 2))))))>
#<alt eps>
#<alt (* -1 (* eps (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ (- (+ (* 1/2 (/ (cos (* 2 eps)) eps)) (/ (sin eps) (cos eps))) (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (* 1/2 (/ 1 eps)))) eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 1/2 (cos (* 2 eps))) (+ 1/2 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (* -1 (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) (+ 1/2 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (* eps (cos eps))))) eps)) (/ (sin eps) (cos eps))) eps)) 1)))>
#<alt (* 1/3 (pow eps 4))>
#<alt (* (pow eps 4) (+ 1/3 (* -2/45 (pow eps 2))))>
#<alt (* (pow eps 4) (+ 1/3 (* (pow eps 2) (- (* 1/315 (pow eps 2)) 2/45))))>
#<alt (* (pow eps 4) (+ 1/3 (* (pow eps 2) (- (* (pow eps 2) (+ 1/315 (* -2/14175 (pow eps 2)))) 2/45))))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))>
#<alt -1/2>
#<alt (- (pow eps 2) 1/2)>
#<alt (- (pow eps 2) 1/2)>
#<alt (- (pow eps 2) 1/2)>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (- 1 (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 1 (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 1 (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (- 1 (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 1 (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 1 (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* -1/3 (pow eps 3))>
#<alt (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))>
#<alt eps>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt 1>
#<alt (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (/ (sin eps) (* eps (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (* (pow (sin eps) 2) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (* (pow eps 3) (pow (cos eps) 2))))))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))>
#<alt 1>
#<alt (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps)))))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (/ (pow (sin eps) 2) (* eps (cos eps)))) (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) eps)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (* -1 (/ (+ (* -1 (- (/ (pow (sin eps) 2) (cos eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (* (pow (sin eps) 2) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) eps))) eps)))>
#<alt (* 1/6 (pow eps 3))>
#<alt (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))>
#<alt eps>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt eps>
#<alt (* eps (+ 1 (* -1/6 (pow eps 2))))>
#<alt (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))>
#<alt (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (* -27/2800 eps)>
#<alt (* eps (- (* 27/112000 (pow eps 2)) 27/2800))>
#<alt (* eps (- (* 27/112000 (pow eps 2)) 27/2800))>
#<alt (* eps (- (* 27/112000 (pow eps 2)) 27/2800))>
#<alt (* 27/112000 (pow eps 3))>
#<alt (* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* 27/112000 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))>
#<alt (* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))>
#<alt (* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))>
#<alt (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))>
#<alt (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))>
#<alt (* 27/112000 (pow eps 4))>
#<alt (* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* 27/112000 (pow eps 4))>
#<alt (* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* 27/112000 (pow eps 2))>
#<alt (* 27/112000 (pow eps 2))>
#<alt (* 27/112000 (pow eps 2))>
#<alt (* 27/112000 (pow eps 2))>
#<alt (* 27/112000 (pow eps 2))>
#<alt (* 27/112000 (pow eps 2))>
#<alt (* 27/112000 (pow eps 2))>
#<alt (* 27/112000 (pow eps 2))>
#<alt (* 27/112000 (pow eps 2))>
#<alt (* 27/112000 (pow eps 2))>
#<alt (* 27/112000 (pow eps 2))>
#<alt (* 27/112000 (pow eps 2))>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* -1/3 (pow eps 3))>
#<alt (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))>
#<alt eps>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -2/3 (pow eps 4))>
#<alt (* (pow eps 4) (- (* -17/45 (pow eps 2)) 2/3))>
#<alt (* (pow eps 4) (- (* (pow eps 2) (- (* -62/315 (pow eps 2)) 17/45)) 2/3))>
#<alt (* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -1382/14175 (pow eps 2)) 62/315)) 17/45)) 2/3))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))>
#<alt (* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))>
#<alt (* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))>
#<alt (* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))>
#<alt (* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))>

Calls

66 calls:

Time	Variable		Point	Expression
5.0ms	eps	@	-inf	(* eps (+ -27/2800 (* (* eps eps) 27/112000)))
1.0ms	eps	@	0	(* (/ (+ (- (* eps eps) 1/2) (* 1/2 (cos (* eps 2)))) (- eps (tan eps))) (/ 1 (+ eps (sin eps))))
1.0ms	eps	@	-inf	(* (/ (+ (- (* eps eps) 1/2) (* 1/2 (cos (* eps 2)))) (- eps (tan eps))) (/ 1 (+ eps (sin eps))))
1.0ms	eps	@	inf	(* (/ (+ (- (* eps eps) 1/2) (* 1/2 (cos (* eps 2)))) (- eps (tan eps))) (/ 1 (+ eps (sin eps))))
1.0ms	eps	@	inf	(/ (+ (- (* eps eps) 1/2) (* 1/2 (cos (* eps 2)))) (- eps (tan eps)))

rewrite487.0ms (2.5%)

Memory

22.0MiB live, 867.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 490×	`/-lowering-/.f32`
4 490×	`/-lowering-/.f64`
4 334×	`accelerator-lowering-fma.f32`
4 334×	`accelerator-lowering-fma.f64`
4 100×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	216
1	277	182
2	2481	182
0	8779	168

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 969

Calls

Call 1

Inputs
(+ (* (* eps eps) (+ 9/40 (* eps (* eps (+ -27/2800 (* (* eps eps) 27/112000)))))) -1/2)
(* (* eps eps) (+ 9/40 (* eps (* eps (+ -27/2800 (* (* eps eps) 27/112000))))))
(* eps eps)
(+ 9/40 (* eps (* eps (+ -27/2800 (* (* eps eps) 27/112000)))))
(+ (* (* eps eps) (+ 9/40 (* eps (* eps -27/2800)))) -1/2)
(* (* eps eps) (+ 9/40 (* eps (* eps -27/2800))))
(+ 9/40 (* eps (* eps -27/2800)))
(* (/ (+ (- (* eps eps) 1/2) (* 1/2 (cos (* eps 2)))) (- eps (tan eps))) (/ 1 (+ eps (sin eps))))
(/ (+ (- (* eps eps) 1/2) (* 1/2 (cos (* eps 2)))) (- eps (tan eps)))
(+ (- (* eps eps) 1/2) (* 1/2 (cos (* eps 2))))
(- (* eps eps) 1/2)
(/ (- (* eps eps) (pow (tan eps) 2)) (+ eps (tan eps)))
(/ (- eps (sin eps)) (/ (- (* eps eps) (pow (tan eps) 2)) (+ eps (tan eps))))
(- eps (sin eps))
(sin eps)
(* eps (+ -27/2800 (* (* eps eps) 27/112000)))
(* eps (* eps (+ -27/2800 (* (* eps eps) 27/112000))))
(* (* eps eps) 27/112000)
(* eps -27/2800)
(* eps (* eps -27/2800))
(- eps (tan eps))
(- (* eps eps) (pow (tan eps) 2))

Outputs
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))))) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))))))
(+.f64 (.f64 eps (.f64 eps #s(literal 9/40 binary64))) (+.f64 (.f64 eps (.f64 (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))) (.f64 eps eps))) #s(literal -1/2 binary64)))
(+.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 9/40 binary64)))) (.f64 eps (.f64 (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))) (.f64 eps eps))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))))) (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))))))) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (*.f64 eps #s(literal 27/112000 binary64))))))) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))))))) (/.f64 (.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))))) (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))))))) (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (*.f64 eps #s(literal 27/112000 binary64))))))))))
(fma.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (*.f64 eps #s(literal 27/112000 binary64))))))) #s(literal -1/2 binary64))
(fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) (+.f64 (.f64 eps (.f64 (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))) (*.f64 eps eps))) #s(literal -1/2 binary64)))
(fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) (+.f64 (.f64 eps (.f64 (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))) (*.f64 eps eps))) #s(literal -1/2 binary64)))
(fma.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (*.f64 eps #s(literal 27/112000 binary64)))))) #s(literal -1/2 binary64))
(fma.f64 #s(literal 9/40 binary64) (.f64 eps eps) (+.f64 (.f64 eps (.f64 (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))) (*.f64 eps eps))) #s(literal -1/2 binary64)))
(fma.f64 (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))))) (*.f64 eps eps) #s(literal -1/2 binary64))
(fma.f64 (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (*.f64 eps #s(literal 27/112000 binary64))))))) eps #s(literal -1/2 binary64))
(fma.f64 (.f64 #s(literal 9/40 binary64) eps) eps (+.f64 (.f64 eps (.f64 (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))) (*.f64 eps eps))) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))))) (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))))))) (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))))) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))))) (.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))))) (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))))) #s(literal 1/2 binary64)) (+.f64 (.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))))) (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (*.f64 eps #s(literal 27/112000 binary64)))))))) #s(literal -1/4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))))) (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))))))) (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))))) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))))) (.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))))) (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))))))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))))) #s(literal 1/2 binary64)) (+.f64 (.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))))) (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (*.f64 eps #s(literal 27/112000 binary64)))))))) #s(literal -1/4 binary64)))))
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(/.f64 (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))))) (.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))))) (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))))))))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))))) (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))))))) (.f64 (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))))) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))))
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(/.f64 (neg.f64 (-.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))) (neg.f64 (-.f64 (.f64 eps eps) (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) (+.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (+.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (pow.f64 (.f64 eps (tan.f64 eps)) #s(literal 2 binary64))))) (.f64 (+.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (+.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (pow.f64 (.f64 eps (tan.f64 eps)) #s(literal 2 binary64)))) (pow.f64 (tan.f64 eps) #s(literal 6 binary64)))) (.f64 (+.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (+.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (pow.f64 (.f64 eps (tan.f64 eps)) #s(literal 2 binary64)))) (+.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (+.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (pow.f64 (.f64 eps (tan.f64 eps)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (+.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (.f64 (+.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))) (.f64 (+.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (+.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (pow.f64 (*.f64 eps (tan.f64 eps)) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (pow.f64 (tan.f64 eps) #s(literal 4 binary64))))) (neg.f64 (neg.f64 (+.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps)))) (+.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (-.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (*.f64 eps eps)))))
(pow.f64 (/.f64 (+.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (+.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (pow.f64 (.f64 eps (tan.f64 eps)) #s(literal 2 binary64)))) (-.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (*.f64 eps eps))) (pow.f64 (tan.f64 eps) #s(literal 6 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 eps (tan.f64 eps)) (-.f64 eps (tan.f64 eps)))
(.f64 (-.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (+.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (pow.f64 (.f64 eps (tan.f64 eps)) #s(literal 2 binary64))))))
(.f64 (-.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (pow.f64 (tan.f64 eps) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))

simplify642.0ms (3.3%)

Memory

12.7MiB live, 1 095.2MiB allocated

Algorithm

1×	egg-herbie

Rules

18 078×	`accelerator-lowering-fma.f32`
18 078×	`accelerator-lowering-fma.f64`
5 830×	`+-lowering-+.f64`
5 830×	`+-lowering-+.f32`
5 040×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	363	3082
1	1012	2993
2	3140	2894
0	8154	2774

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(* 9/40 (pow eps 2))
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))
(* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
9/40
(+ 9/40 (* -27/2800 (pow eps 2)))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
(* 27/112000 (pow eps 4))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 4))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(* -27/2800 (pow eps 4))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* -27/2800 (pow eps 4))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* 9/40 (pow eps 2))
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))
(* -27/2800 (pow eps 4))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* -27/2800 (pow eps 4))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
9/40
(+ 9/40 (* -27/2800 (pow eps 2)))
(+ 9/40 (* -27/2800 (pow eps 2)))
(+ 9/40 (* -27/2800 (pow eps 2)))
(* -27/2800 (pow eps 2))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* -27/2800 (pow eps 2))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps)))
(- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (+ (/ 1/2 (pow eps 2)) (/ (sin eps) eps))))))
(- (+ 1 (+ (* -1 (/ (+ (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (- (* 1/2 (cos (* 2 eps))) (+ 1/2 (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)))))) (/ (* (pow (sin eps) 2) (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) (pow eps 3))) (* 1/2 (/ (cos (* 2 eps)) (pow eps 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (+ (/ 1/2 (pow eps 2)) (/ (sin eps) eps))))))
1
(+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (- (* 1/2 (cos (* 2 eps))) 1/2) eps)))) (+ (/ (pow (sin eps) 2) (* eps (cos eps))) (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) eps))) eps)))
(+ 1 (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1 (- (* -1 (- (* 1/2 (cos (* 2 eps))) 1/2)) (+ (/ (pow (sin eps) 2) (cos eps)) (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)))) (* -1 (/ (+ (* -1 (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (- (* -1 (- (* 1/2 (cos (* 2 eps))) 1/2)) (+ (/ (pow (sin eps) 2) (cos eps)) (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2))))) (/ (* (pow (sin eps) 2) (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) eps))) eps)))) eps)))
(* -1 eps)
(* eps (- (* 8/15 (pow eps 2)) 1))
(* eps (- (* (pow eps 2) (+ 8/15 (* -32/525 (pow eps 2)))) 1))
(* eps (- (* (pow eps 2) (+ 8/15 (* (pow eps 2) (- (* 32/7875 (pow eps 2)) 32/525)))) 1))
eps
(* eps (+ 1 (/ (sin eps) (* eps (cos eps)))))
(* eps (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ 1/2 (pow eps 2))))))
(* eps (- (+ 1 (+ (* 1/2 (/ (cos (* 2 eps)) (pow eps 2))) (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) (+ 1/2 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (* (pow eps 3) (cos eps))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ 1/2 (pow eps 2))))))
eps
(* -1 (* eps (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (* 1/2 (/ (cos (* 2 eps)) eps)) (/ (sin eps) (cos eps))) (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (* 1/2 (/ 1 eps)))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 1/2 (cos (* 2 eps))) (+ 1/2 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (* -1 (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) (+ 1/2 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (* eps (cos eps))))) eps)) (/ (sin eps) (cos eps))) eps)) 1)))
(* 1/3 (pow eps 4))
(* (pow eps 4) (+ 1/3 (* -2/45 (pow eps 2))))
(* (pow eps 4) (+ 1/3 (* (pow eps 2) (- (* 1/315 (pow eps 2)) 2/45))))
(* (pow eps 4) (+ 1/3 (* (pow eps 2) (- (* (pow eps 2) (+ 1/315 (* -2/14175 (pow eps 2)))) 2/45))))
(pow eps 2)
(* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))
(pow eps 2)
(* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))
-1/2
(- (pow eps 2) 1/2)
(- (pow eps 2) 1/2)
(- (pow eps 2) 1/2)
(pow eps 2)
(* (pow eps 2) (- 1 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 1 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 1 (* 1/2 (/ 1 (pow eps 2)))))
(pow eps 2)
(* (pow eps 2) (- 1 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 1 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 1 (* 1/2 (/ 1 (pow eps 2)))))
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (/ (sin eps) (* eps (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (* (pow (sin eps) 2) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (* (pow eps 3) (pow (cos eps) 2))))))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))
1
(+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (- (+ (* -1 (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (/ (pow (sin eps) 2) (* eps (cos eps)))) (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (* -1 (/ (+ (* -1 (- (/ (pow (sin eps) 2) (cos eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (* (pow (sin eps) 2) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) eps))) eps)))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(* -27/2800 eps)
(* eps (- (* 27/112000 (pow eps 2)) 27/2800))
(* eps (- (* 27/112000 (pow eps 2)) 27/2800))
(* eps (- (* 27/112000 (pow eps 2)) 27/2800))
(* 27/112000 (pow eps 3))
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 3))
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(* -27/2800 (pow eps 2))
(* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))
(* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))
(* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))
(* 27/112000 (pow eps 4))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 4))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 2))
(* 27/112000 (pow eps 2))
(* 27/112000 (pow eps 2))
(* 27/112000 (pow eps 2))
(* 27/112000 (pow eps 2))
(* 27/112000 (pow eps 2))
(* 27/112000 (pow eps 2))
(* 27/112000 (pow eps 2))
(* 27/112000 (pow eps 2))
(* 27/112000 (pow eps 2))
(* 27/112000 (pow eps 2))
(* 27/112000 (pow eps 2))
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -27/2800 (pow eps 2))
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -2/3 (pow eps 4))
(* (pow eps 4) (- (* -17/45 (pow eps 2)) 2/3))
(* (pow eps 4) (- (* (pow eps 2) (- (* -62/315 (pow eps 2)) 17/45)) 2/3))
(* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -1382/14175 (pow eps 2)) 62/315)) 17/45)) 2/3))
(pow eps 2)
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(+.f64 (.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))))) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))))) #s(literal -1/2 binary64))
(* 27/112000 (pow eps 6))
(*.f64 #s(literal 27/112000 binary64) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))) (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps))) (/.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 6 binary64))))))
(* 27/112000 (pow eps 6))
(*.f64 #s(literal 27/112000 binary64) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))) (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps))) (/.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 6 binary64))))))
(* 9/40 (pow eps 2))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))
(.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))))
(* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)))))))
(* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)))))))
(* 27/112000 (pow eps 6))
(*.f64 #s(literal 27/112000 binary64) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))) (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))) (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(* 27/112000 (pow eps 6))
(*.f64 #s(literal 27/112000 binary64) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))) (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))) (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
9/40
#s(literal 9/40 binary64)
(+ 9/40 (* -27/2800 (pow eps 2)))
(+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
(+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
(+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))))
(* 27/112000 (pow eps 4))
(.f64 #s(literal 27/112000 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) (*.f64 eps eps)))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))) (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))) (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))))
(* 27/112000 (pow eps 4))
(.f64 #s(literal 27/112000 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) (*.f64 eps eps)))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))) (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))) (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(+.f64 (.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))))) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(+.f64 (.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))))) #s(literal -1/2 binary64))
(* -27/2800 (pow eps 4))
(.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal -27/2800 binary64) (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal -27/2800 binary64) (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 eps eps)) (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal -27/2800 binary64) (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 eps eps)) (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))))))
(* -27/2800 (pow eps 4))
(.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal -27/2800 binary64) (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal -27/2800 binary64) (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 eps eps)) (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal -27/2800 binary64) (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 eps eps)) (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))))))
(* 9/40 (pow eps 2))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))
(.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))))
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))
(.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))))
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))
(.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))))
(* -27/2800 (pow eps 4))
(.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal -27/2800 binary64) (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal -27/2800 binary64) (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal -27/2800 binary64) (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps))))
(* -27/2800 (pow eps 4))
(.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal -27/2800 binary64) (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal -27/2800 binary64) (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal -27/2800 binary64) (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps))))
9/40
#s(literal 9/40 binary64)
(+ 9/40 (* -27/2800 (pow eps 2)))
(+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))
(+ 9/40 (* -27/2800 (pow eps 2)))
(+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))
(+ 9/40 (* -27/2800 (pow eps 2)))
(+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))
(* -27/2800 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -27/2800 binary64))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(.f64 (.f64 (+.f64 #s(literal -27/2800 binary64) (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps))) eps) eps)
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(.f64 (.f64 (+.f64 #s(literal -27/2800 binary64) (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps))) eps) eps)
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(.f64 (.f64 (+.f64 #s(literal -27/2800 binary64) (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps))) eps) eps)
(* -27/2800 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -27/2800 binary64))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(.f64 (.f64 (+.f64 #s(literal -27/2800 binary64) (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps))) eps) eps)
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(.f64 (.f64 (+.f64 #s(literal -27/2800 binary64) (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps))) eps) eps)
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(.f64 (.f64 (+.f64 #s(literal -27/2800 binary64) (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps))) eps) eps)
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(+.f64 (.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))))) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))))) #s(literal -1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 1 binary64))) eps))
(- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (+ (/ 1/2 (pow eps 2)) (/ (sin eps) eps))))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 (cos.f64 (.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)))) (+.f64 (-.f64 (+.f64 (/.f64 (sin.f64 eps) eps) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps))) (/.f64 (pow.f64 (.f64 (sin.f64 eps) (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 eps eps))) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 #s(literal -1 binary64) eps) (/.f64 (sin.f64 eps) (.f64 eps eps))))))
(- (+ 1 (+ (* -1 (/ (+ (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (- (* 1/2 (cos (* 2 eps))) (+ 1/2 (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (* -1 (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)))))) (/ (* (pow (sin eps) 2) (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) (pow eps 3))) (* 1/2 (/ (cos (* 2 eps)) (pow eps 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) (pow eps 2))) (+ (/ 1/2 (pow eps 2)) (/ (sin eps) eps))))))
(+.f64 (-.f64 (.f64 (cos.f64 (.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps))) (/.f64 (.f64 (.f64 (sin.f64 eps) (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 1 binary64))) (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) (-.f64 (+.f64 (.f64 (cos.f64 (.f64 eps #s(literal 2 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)))) (pow.f64 (.f64 (sin.f64 eps) (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 1 binary64))) #s(literal 2 binary64))))) (.f64 eps (.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (+.f64 (-.f64 (+.f64 (/.f64 (sin.f64 eps) eps) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps))) (/.f64 (pow.f64 (.f64 (sin.f64 eps) (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 eps eps))) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 #s(literal -1 binary64) eps) (/.f64 (sin.f64 eps) (*.f64 eps eps)))))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 1 binary64))) eps))
(+ 1 (* -1 (/ (- (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (- (* 1/2 (cos (* 2 eps))) 1/2) eps)))) (+ (/ (pow (sin eps) 2) (* eps (cos eps))) (/ (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2) eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (.f64 (sin.f64 eps) (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 1 binary64))) (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 eps #s(literal 2 binary64))) #s(literal -1/2 binary64))) eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 eps (cos.f64 eps))))) (/.f64 (pow.f64 (*.f64 (sin.f64 eps) (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 1 binary64))) #s(literal 2 binary64)) eps)) eps))
(+ 1 (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1 (- (* -1 (- (* 1/2 (cos (* 2 eps))) 1/2)) (+ (/ (pow (sin eps) 2) (cos eps)) (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2)))) (* -1 (/ (+ (* -1 (* (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) (- (* -1 (- (* 1/2 (cos (* 2 eps))) 1/2)) (+ (/ (pow (sin eps) 2) (cos eps)) (pow (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) 2))))) (/ (* (pow (sin eps) 2) (+ (sin eps) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) eps))) eps)))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (sin.f64 eps) (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 1 binary64))) (/.f64 (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 eps #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (sin.f64 eps) (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps))) (/.f64 (.f64 (.f64 (sin.f64 eps) (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 1 binary64))) (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) (-.f64 (+.f64 (.f64 (cos.f64 (.f64 eps #s(literal 2 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)))) (pow.f64 (*.f64 (sin.f64 eps) (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 1 binary64))) #s(literal 2 binary64))))) eps))) eps)) eps))
(* -1 eps)
(-.f64 #s(literal 0 binary64) eps)
(* eps (- (* 8/15 (pow eps 2)) 1))
(.f64 eps (+.f64 #s(literal -1 binary64) (.f64 (*.f64 eps eps) #s(literal 8/15 binary64))))
(* eps (- (* (pow eps 2) (+ 8/15 (* -32/525 (pow eps 2)))) 1))
(.f64 eps (+.f64 #s(literal -1 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 8/15 binary64) (.f64 (*.f64 eps eps) #s(literal -32/525 binary64))))))
(* eps (- (* (pow eps 2) (+ 8/15 (* (pow eps 2) (- (* 32/7875 (pow eps 2)) 32/525)))) 1))
(.f64 eps (+.f64 #s(literal -1 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 8/15 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -32/525 binary64) (.f64 (*.f64 eps eps) #s(literal 32/7875 binary64)))))))))
eps
(* eps (+ 1 (/ (sin eps) (* eps (cos eps)))))
(.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))))
(* eps (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ 1/2 (pow eps 2))))))
(.f64 eps (+.f64 (-.f64 #s(literal 0 binary64) (.f64 (sin.f64 eps) (-.f64 (/.f64 #s(literal -1 binary64) (.f64 eps (cos.f64 eps))) (/.f64 (sin.f64 eps) (.f64 eps (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (+.f64 (cos.f64 (.f64 eps #s(literal 2 binary64))) #s(literal -1 binary64))))))
(* eps (- (+ 1 (+ (* 1/2 (/ (cos (* 2 eps)) (pow eps 2))) (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) (+ 1/2 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (* (pow eps 3) (cos eps))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ 1/2 (pow eps 2))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (cos.f64 (.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps))) (+.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 eps #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (.f64 eps (.f64 eps eps))) (/.f64 #s(literal -1 binary64) eps))) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 #s(literal -1/2 binary64) eps)) eps)))))
eps
(* -1 (* eps (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1)))
(.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))))
(* -1 (* eps (- (* -1 (/ (- (+ (* 1/2 (/ (cos (* 2 eps)) eps)) (/ (sin eps) (cos eps))) (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (* 1/2 (/ 1 eps)))) eps)) 1)))
(.f64 (-.f64 #s(literal 0 binary64) eps) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 eps #s(literal 2 binary64)))) #s(literal -1/2 binary64)) eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) eps)))
(* -1 (* eps (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 1/2 (cos (* 2 eps))) (+ 1/2 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (* -1 (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) (+ 1/2 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (* eps (cos eps))))) eps)) (/ (sin eps) (cos eps))) eps)) 1)))
(.f64 eps (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 eps #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))) eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))))
(* 1/3 (pow eps 4))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 1/3 binary64))
(* (pow eps 4) (+ 1/3 (* -2/45 (pow eps 2))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 eps eps) #s(literal -2/45 binary64))))
(* (pow eps 4) (+ 1/3 (* (pow eps 2) (- (* 1/315 (pow eps 2)) 2/45))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -2/45 binary64) (.f64 (.f64 eps eps) #s(literal 1/315 binary64)))))))
(* (pow eps 4) (+ 1/3 (* (pow eps 2) (- (* (pow eps 2) (+ 1/315 (* -2/14175 (pow eps 2)))) 2/45))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal 1/3 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -2/45 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/315 binary64) (.f64 (.f64 eps eps) #s(literal -2/14175 binary64)))))))))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (+.f64 (cos.f64 (*.f64 eps #s(literal 2 binary64))) #s(literal -1 binary64)))))
(* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (+.f64 (cos.f64 (*.f64 eps #s(literal 2 binary64))) #s(literal -1 binary64)))))
(* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (+.f64 (cos.f64 (*.f64 eps #s(literal 2 binary64))) #s(literal -1 binary64)))))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (+.f64 (cos.f64 (*.f64 eps #s(literal 2 binary64))) #s(literal -1 binary64)))))
(* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (+.f64 (cos.f64 (*.f64 eps #s(literal 2 binary64))) #s(literal -1 binary64)))))
(* (pow eps 2) (- (+ 1 (* 1/2 (/ (cos (* 2 eps)) (pow eps 2)))) (* 1/2 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) (+.f64 (cos.f64 (*.f64 eps #s(literal 2 binary64))) #s(literal -1 binary64)))))
-1/2
#s(literal -1/2 binary64)
(- (pow eps 2) 1/2)
(+.f64 (*.f64 eps eps) #s(literal -1/2 binary64))
(- (pow eps 2) 1/2)
(+.f64 (*.f64 eps eps) #s(literal -1/2 binary64))
(- (pow eps 2) 1/2)
(+.f64 (*.f64 eps eps) #s(literal -1/2 binary64))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (- 1 (* 1/2 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))))
(* (pow eps 2) (- 1 (* 1/2 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))))
(* (pow eps 2) (- 1 (* 1/2 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (- 1 (* 1/2 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))))
(* (pow eps 2) (- 1 (* 1/2 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))))
(* (pow eps 2) (- 1 (* 1/2 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))))
(* -1/3 (pow eps 3))
(.f64 (.f64 eps (*.f64 eps eps)) #s(literal -1/3 binary64))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 eps eps) #s(literal -2/15 binary64))))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/15 binary64) (.f64 (*.f64 eps eps) #s(literal -17/315 binary64))))))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
(.f64 eps (.f64 (.f64 eps eps) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/15 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -17/315 binary64) (.f64 (*.f64 eps eps) #s(literal -62/2835 binary64)))))))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(+.f64 (.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))))) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))))) #s(literal -1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (/ (sin eps) (* eps (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 (sin.f64 eps) (-.f64 (/.f64 #s(literal -1 binary64) eps) (/.f64 (sin.f64 eps) (.f64 (.f64 eps eps) (cos.f64 eps))))) (-.f64 #s(literal 0 binary64) (.f64 (sin.f64 eps) (-.f64 (/.f64 #s(literal -1 binary64) (.f64 eps (cos.f64 eps))) (/.f64 (sin.f64 eps) (.f64 eps (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (* (pow (sin eps) 2) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (* (pow eps 3) (pow (cos eps) 2))))))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (cos.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (.f64 (.f64 eps eps) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (+.f64 (.f64 (sin.f64 eps) (-.f64 (/.f64 #s(literal -1 binary64) eps) (/.f64 (sin.f64 eps) (.f64 (.f64 eps eps) (cos.f64 eps))))) (-.f64 #s(literal 0 binary64) (.f64 (sin.f64 eps) (-.f64 (/.f64 #s(literal -1 binary64) (.f64 eps (cos.f64 eps))) (/.f64 (sin.f64 eps) (.f64 eps (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))))))))
1
#s(literal 1 binary64)
(+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps))
(+ 1 (* -1 (/ (- (+ (* -1 (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (/ (pow (sin eps) 2) (* eps (cos eps)))) (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 eps) (-.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) eps))
(+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (* -1 (/ (+ (* -1 (- (/ (pow (sin eps) 2) (cos eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (* (pow (sin eps) 2) (+ (* -1 (sin eps)) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (sin.f64 eps) (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 1 binary64))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (cos.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)))) eps)) eps))
(* 1/6 (pow eps 3))
(.f64 (.f64 eps (*.f64 eps eps)) #s(literal 1/6 binary64))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(.f64 (.f64 eps eps) (.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 eps eps) #s(literal -1/120 binary64)))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 eps eps) #s(literal 1/5040 binary64))))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(.f64 eps (.f64 (.f64 eps eps) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 eps eps) #s(literal -1/362880 binary64)))))))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)))
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (*.f64 eps #s(literal -1/6 binary64)))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 eps eps) #s(literal 1/120 binary64)))))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 eps eps) #s(literal -1/5040 binary64))))))))
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* eps (- (* 27/112000 (pow eps 2)) 27/2800))
(.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (*.f64 eps eps) #s(literal 27/112000 binary64))))
(* eps (- (* 27/112000 (pow eps 2)) 27/2800))
(.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (*.f64 eps eps) #s(literal 27/112000 binary64))))
(* eps (- (* 27/112000 (pow eps 2)) 27/2800))
(.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (*.f64 eps eps) #s(literal 27/112000 binary64))))
(* 27/112000 (pow eps 3))
(.f64 eps (.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)))
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps eps) (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps)))))
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps eps) (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps)))))
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps eps) (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps)))))
(* 27/112000 (pow eps 3))
(.f64 eps (.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)))
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(.f64 (.f64 eps eps) (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps)))))
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(.f64 (.f64 eps eps) (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps)))))
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(.f64 (.f64 eps eps) (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps)))))
(* -27/2800 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -27/2800 binary64))
(* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))
(.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)))))
(* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))
(.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)))))
(* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))
(.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)))))
(* 27/112000 (pow eps 4))
(.f64 #s(literal 27/112000 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) (*.f64 eps eps)))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) (*.f64 eps eps)))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) (*.f64 eps eps)))
(* 27/112000 (pow eps 4))
(.f64 #s(literal 27/112000 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) (*.f64 eps eps)))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) (*.f64 eps eps)))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) (*.f64 eps eps)))
(* 27/112000 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 27/112000 binary64))
(* 27/112000 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 27/112000 binary64))
(* 27/112000 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 27/112000 binary64))
(* 27/112000 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 27/112000 binary64))
(* 27/112000 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 27/112000 binary64))
(* 27/112000 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 27/112000 binary64))
(* 27/112000 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 27/112000 binary64))
(* 27/112000 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 27/112000 binary64))
(* 27/112000 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 27/112000 binary64))
(* 27/112000 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 27/112000 binary64))
(* 27/112000 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 27/112000 binary64))
(* 27/112000 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 27/112000 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -27/2800 binary64))
(* -27/2800 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -27/2800 binary64))
(* -27/2800 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -27/2800 binary64))
(* -27/2800 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -27/2800 binary64))
(* -27/2800 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -27/2800 binary64))
(* -27/2800 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -27/2800 binary64))
(* -27/2800 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -27/2800 binary64))
(* -27/2800 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -27/2800 binary64))
(* -27/2800 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -27/2800 binary64))
(* -27/2800 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -27/2800 binary64))
(* -27/2800 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -27/2800 binary64))
(* -27/2800 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -27/2800 binary64))
(* -1/3 (pow eps 3))
(.f64 (.f64 eps (*.f64 eps eps)) #s(literal -1/3 binary64))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 eps eps) #s(literal -2/15 binary64))))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/15 binary64) (.f64 (*.f64 eps eps) #s(literal -17/315 binary64))))))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
(.f64 eps (.f64 (.f64 eps eps) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -2/15 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -17/315 binary64) (.f64 (*.f64 eps eps) #s(literal -62/2835 binary64)))))))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))))
(* -2/3 (pow eps 4))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal -2/3 binary64))
(* (pow eps 4) (- (* -17/45 (pow eps 2)) 2/3))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal -2/3 binary64) (.f64 eps (.f64 eps #s(literal -17/45 binary64)))))
(* (pow eps 4) (- (* (pow eps 2) (- (* -62/315 (pow eps 2)) 17/45)) 2/3))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal -2/3 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -17/45 binary64) (.f64 eps (.f64 eps #s(literal -62/315 binary64))))))))
(* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -1382/14175 (pow eps 2)) 62/315)) 17/45)) 2/3))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal -2/3 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -17/45 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -62/315 binary64) (.f64 (.f64 eps eps) #s(literal -1382/14175 binary64)))))))))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(.f64 (.f64 eps eps) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (*.f64 eps eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(.f64 (.f64 eps eps) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (*.f64 eps eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(.f64 (.f64 eps eps) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (*.f64 eps eps))))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(.f64 (.f64 eps eps) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (*.f64 eps eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(.f64 (.f64 eps eps) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (*.f64 eps eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(.f64 (.f64 eps eps) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (*.f64 eps eps))))

eval159.0ms (0.8%)

Memory: 22.4MiB live, 300.5MiB allocated
Compiler: Compiled 44 244 to 3 345 computations (92.4% saved)

prune143.0ms (0.7%)

Memory

-22.0MiB live, 251.1MiB allocated

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	1 315	3	1 318
Fresh	3	2	5
Picked	0	5	5
Done	0	1	1
Total	1 318	11	1 329

Accuracy

100.0%

Counts

1 329 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	2.3%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps))
✓	2.4%	(/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 eps (tan.f64 eps))))
✓	2.6%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
▶	2.6%	(/.f64 (.f64 eps (.f64 (.f64 eps eps) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 eps eps) #s(literal -1/362880 binary64))))))))) (-.f64 eps (tan.f64 eps)))
✓	99.9%	(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))))) #s(literal -1/2 binary64))
✓	99.7%	(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal -27/2800 binary64))))) #s(literal -1/2 binary64))
▶	99.1%	(+.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
▶	99.9%	(+.f64 (.f64 eps (.f64 eps #s(literal 9/40 binary64))) (+.f64 (.f64 eps (.f64 (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))) (.f64 eps eps))) #s(literal -1/2 binary64)))
▶	2.7%	(.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (+.f64 (.f64 eps eps) (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))))
✓	1.6%	(.f64 (/.f64 (+.f64 (-.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 eps #s(literal 2 binary64))))) (-.f64 eps (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (+.f64 eps (sin.f64 eps))))
✓	98.3%	#s(literal -1/2 binary64)

Compiler

Compiled 302 to 183 computations (39.4% saved)

simplify444.0ms (2.3%)

Memory

15.8MiB live, 726.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 eps)
✓	cost-diff	0	(-.f64 eps (sin.f64 eps))
✓	cost-diff	0	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))
✓	cost-diff	0	(.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (+.f64 (.f64 eps eps) (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))))
✓	cost-diff	0	(-.f64 eps (sin.f64 eps))
✓	cost-diff	0	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps))
✓	cost-diff	64	(neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 eps)))
✓	cost-diff	6400	(fma.f64 (sin.f64 eps) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps)
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(.f64 (.f64 eps eps) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))))))
✓	cost-diff	0	(.f64 eps (.f64 (.f64 eps eps) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 eps eps) #s(literal -1/362880 binary64)))))))))
✓	cost-diff	0	(/.f64 (.f64 eps (.f64 (.f64 eps eps) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 eps eps) #s(literal -1/362880 binary64))))))))) (-.f64 eps (tan.f64 eps)))
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(.f64 (.f64 eps eps) #s(literal 9/40 binary64))
✓	cost-diff	0	(+.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
✓	cost-diff	0	(+.f64 (.f64 eps (.f64 (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))) (.f64 eps eps))) #s(literal -1/2 binary64))
✓	cost-diff	0	(*.f64 eps #s(literal 9/40 binary64))
✓	cost-diff	0	(.f64 eps (.f64 eps #s(literal 9/40 binary64)))
✓	cost-diff	256	(+.f64 (.f64 eps (.f64 eps #s(literal 9/40 binary64))) (+.f64 (.f64 eps (.f64 (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))) (.f64 eps eps))) #s(literal -1/2 binary64)))

Rules

16 200×	`accelerator-lowering-fma.f32`
16 200×	`accelerator-lowering-fma.f64`
4 206×	`-lowering-.f32`
4 206×	`-lowering-.f64`
2 536×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	415
1	162	403
2	468	401
3	1168	397
4	3015	397
5	5747	397
0	8080	367

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* eps (* eps 9/40)) (+ (* eps (* (* eps (+ -27/2800 (* eps (* eps 27/112000)))) (* eps eps))) -1/2))
(* eps (* eps 9/40))
eps
(* eps 9/40)
9/40
(+ (* eps (* (* eps (+ -27/2800 (* eps (* eps 27/112000)))) (* eps eps))) -1/2)
(* eps (* (* eps (+ -27/2800 (* eps (* eps 27/112000)))) (* eps eps)))
(* (* eps (+ -27/2800 (* eps (* eps 27/112000)))) (* eps eps))
(* eps (+ -27/2800 (* eps (* eps 27/112000))))
(+ -27/2800 (* eps (* eps 27/112000)))
-27/2800
(* eps (* eps 27/112000))
(* eps 27/112000)
27/112000
(* eps eps)
-1/2
(+ (* (* eps eps) 9/40) -1/2)
(* (* eps eps) 9/40)
(* eps eps)
eps
9/40
-1/2
(/ (* eps (* (* eps eps) (+ 1/6 (* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))))) (- eps (tan eps)))
(* eps (* (* eps eps) (+ 1/6 (* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))))
eps
(* (* eps eps) (+ 1/6 (* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))))
(* eps eps)
(+ 1/6 (* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))
1/6
(* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))
(+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))
-1/120
(* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))
(+ 1/5040 (* (* eps eps) -1/362880))
1/5040
(* (* eps eps) -1/362880)
-1/362880
(- eps (tan eps))
(tan eps)
(/ (- eps (sin eps)) (+ (* (sin eps) (neg (/ 1 (cos eps)))) eps))
(- eps (sin eps))
eps
(sin eps)
(+ (* (sin eps) (neg (/ 1 (cos eps)))) eps)
(neg (/ 1 (cos eps)))
(/ 1 (cos eps))
1
(cos eps)
(* (/ (- eps (sin eps)) (- (* eps (* eps eps)) (pow (tan eps) 3))) (+ (* eps eps) (* (tan eps) (+ eps (tan eps)))))
(/ (- eps (sin eps)) (- (* eps (* eps eps)) (pow (tan eps) 3)))
(- eps (sin eps))
eps
(sin eps)
(- (* eps (* eps eps)) (pow (tan eps) 3))
(* eps (* eps eps))
(* eps eps)
(pow (tan eps) 3)
(tan eps)
3
(+ (* eps eps) (* (tan eps) (+ eps (tan eps))))
(* (tan eps) (+ eps (tan eps)))
(+ eps (tan eps))

Outputs
(+ (* eps (* eps 9/40)) (+ (* eps (* (* eps (+ -27/2800 (* eps (* eps 27/112000)))) (* eps eps))) -1/2))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 #s(literal 27/112000 binary64) (.f64 eps eps))))))))
(* eps (* eps 9/40))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
eps
(* eps 9/40)
(*.f64 eps #s(literal 9/40 binary64))
9/40
#s(literal 9/40 binary64)
(+ (* eps (* (* eps (+ -27/2800 (* eps (* eps 27/112000)))) (* eps eps))) -1/2)
(+.f64 (.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 #s(literal 27/112000 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 eps eps))) #s(literal -1/2 binary64))
(* eps (* (* eps (+ -27/2800 (* eps (* eps 27/112000)))) (* eps eps)))
(.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 #s(literal 27/112000 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 eps eps)))
(* (* eps (+ -27/2800 (* eps (* eps 27/112000)))) (* eps eps))
(.f64 eps (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 #s(literal 27/112000 binary64) (*.f64 eps eps))))))
(* eps (+ -27/2800 (* eps (* eps 27/112000))))
(.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 #s(literal 27/112000 binary64) (*.f64 eps eps))))
(+ -27/2800 (* eps (* eps 27/112000)))
(+.f64 #s(literal -27/2800 binary64) (.f64 #s(literal 27/112000 binary64) (.f64 eps eps)))
-27/2800
#s(literal -27/2800 binary64)
(* eps (* eps 27/112000))
(.f64 #s(literal 27/112000 binary64) (.f64 eps eps))
(* eps 27/112000)
(*.f64 eps #s(literal 27/112000 binary64))
27/112000
#s(literal 27/112000 binary64)
(* eps eps)
(*.f64 eps eps)
-1/2
#s(literal -1/2 binary64)
(+ (* (* eps eps) 9/40) -1/2)
(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))
(* (* eps eps) 9/40)
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(* eps eps)
(*.f64 eps eps)
eps
9/40
#s(literal 9/40 binary64)
-1/2
#s(literal -1/2 binary64)
(/ (* eps (* (* eps eps) (+ 1/6 (* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))))) (- eps (tan eps)))
(/.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))))) (.f64 eps (*.f64 eps eps))) (-.f64 eps (tan.f64 eps)))
(* eps (* (* eps eps) (+ 1/6 (* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))))) (.f64 eps (*.f64 eps eps)))
eps
(* (* eps eps) (+ 1/6 (* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))))))
(* eps eps)
(*.f64 eps eps)
(+ 1/6 (* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))
(+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))))))
1/6
#s(literal 1/6 binary64)
(* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))))
(+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))
(+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))
-1/120
#s(literal -1/120 binary64)
(* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))
(+ 1/5040 (* (* eps eps) -1/362880))
(+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))
1/5040
#s(literal 1/5040 binary64)
(* (* eps eps) -1/362880)
(.f64 (.f64 eps eps) #s(literal -1/362880 binary64))
-1/362880
#s(literal -1/362880 binary64)
(- eps (tan eps))
(-.f64 eps (tan.f64 eps))
(tan eps)
(tan.f64 eps)
(/ (- eps (sin eps)) (+ (* (sin eps) (neg (/ 1 (cos eps)))) eps))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps))))
(- eps (sin eps))
(-.f64 eps (sin.f64 eps))
eps
(sin eps)
(sin.f64 eps)
(+ (* (sin eps) (neg (/ 1 (cos eps)))) eps)
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))
(neg (/ 1 (cos eps)))
(/.f64 #s(literal -1 binary64) (cos.f64 eps))
(/ 1 (cos eps))
(/.f64 #s(literal 1 binary64) (cos.f64 eps))
1
#s(literal 1 binary64)
(cos eps)
(cos.f64 eps)
(* (/ (- eps (sin eps)) (- (* eps (* eps eps)) (pow (tan eps) 3))) (+ (* eps eps) (* (tan eps) (+ eps (tan eps)))))
(/.f64 (.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (.f64 eps eps) (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))) (-.f64 (.f64 eps (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))
(/ (- eps (sin eps)) (- (* eps (* eps eps)) (pow (tan eps) 3)))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))
(- eps (sin eps))
(-.f64 eps (sin.f64 eps))
eps
(sin eps)
(sin.f64 eps)
(- (* eps (* eps eps)) (pow (tan eps) 3))
(-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))
(* eps (* eps eps))
(.f64 eps (.f64 eps eps))
(* eps eps)
(*.f64 eps eps)
(pow (tan eps) 3)
(pow.f64 (tan.f64 eps) #s(literal 3 binary64))
(tan eps)
(tan.f64 eps)
3
#s(literal 3 binary64)
(+ (* eps eps) (* (tan eps) (+ eps (tan eps))))
(+.f64 (.f64 eps eps) (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))
(* (tan eps) (+ eps (tan eps)))
(*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))
(+ eps (tan eps))
(+.f64 eps (tan.f64 eps))

localize758.0ms (3.9%)

Memory

-2.8MiB live, 1 052.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	80.4%	(-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))
✓	accuracy	69.3%	(-.f64 eps (sin.f64 eps))
✓	accuracy	59.0%	(.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (+.f64 (.f64 eps eps) (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))))
✓	accuracy	30.3%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))
✓	accuracy	100.0%	(cos.f64 eps)
✓	accuracy	69.3%	(-.f64 eps (sin.f64 eps))
✓	accuracy	69.3%	(fma.f64 (sin.f64 eps) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps)
✓	accuracy	42.5%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps))
✓	accuracy	99.7%	(.f64 (.f64 eps eps) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))))))
✓	accuracy	99.7%	(.f64 (.f64 eps eps) #s(literal -1/362880 binary64))
✓	accuracy	69.3%	(-.f64 eps (tan.f64 eps))
✓	accuracy	42.5%	(/.f64 (.f64 eps (.f64 (.f64 eps eps) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 eps eps) #s(literal -1/362880 binary64))))))))) (-.f64 eps (tan.f64 eps)))
✓	accuracy	100.0%	(+.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(*.f64 eps eps)
✓	accuracy	99.8%	(.f64 (.f64 eps eps) #s(literal 9/40 binary64))
✓	accuracy	99.8%	(*.f64 eps #s(literal 9/40 binary64))
✓	accuracy	99.8%	(.f64 (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))) (*.f64 eps eps))
✓	accuracy	99.7%	(.f64 eps (.f64 eps #s(literal 27/112000 binary64)))
✓	accuracy	99.4%	(.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 eps (*.f64 eps #s(literal 27/112000 binary64)))))

Samples

322.0ms	121×	2	valid
160.0ms	37×	3	valid
76.0ms	19×	5	exit
62.0ms	75×	1	valid
2.0ms	4×	0	valid

Compiler

Compiled 430 to 53 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 545.0ms

ival-tan: 124.0ms (22.7% of total)

ival-cos: 103.0ms (18.9% of total)

ival-sin: 100.0ms (18.3% of total)

ival-mult: 66.0ms (12.1% of total)

const: 38.0ms (7% of total)

adjust: 31.0ms (5.7% of total)

ival-add: 29.0ms (5.3% of total)

ival-div: 28.0ms (5.1% of total)

ival-sub: 15.0ms (2.8% of total)

ival-pow: 8.0ms (1.5% of total)

ival-neg: 3.0ms (0.6% of total)

exact: 1.0ms (0.2% of total)

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

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

series27.0ms (0.1%)

Memory

-13.2MiB live, 28.5MiB allocated

Counts

24 → 288

Calls

Call 1

Inputs
#<alt (+ (* eps (* eps 9/40)) (+ (* eps (* (* eps (+ -27/2800 (* eps (* eps 27/112000)))) (* eps eps))) -1/2))>
#<alt (* eps (* eps 9/40))>
#<alt (* eps 9/40)>
#<alt (+ (* eps (* (* eps (+ -27/2800 (* eps (* eps 27/112000)))) (* eps eps))) -1/2)>
#<alt (+ (* (* eps eps) 9/40) -1/2)>
#<alt (* (* eps eps) 9/40)>
#<alt (* eps eps)>
#<alt (/ (* eps (* (* eps eps) (+ 1/6 (* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))))) (- eps (tan eps)))>
#<alt (* eps (* (* eps eps) (+ 1/6 (* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))))>
#<alt (* (* eps eps) (+ 1/6 (* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))))>
#<alt (+ (* (sin eps) (neg (/ 1 (cos eps)))) eps)>
#<alt (neg (/ 1 (cos eps)))>
#<alt (/ (- eps (sin eps)) (+ (* (sin eps) (neg (/ 1 (cos eps)))) eps))>
#<alt (- eps (sin eps))>
#<alt (* (/ (- eps (sin eps)) (- (* eps (* eps eps)) (pow (tan eps) 3))) (+ (* eps eps) (* (tan eps) (+ eps (tan eps)))))>
#<alt (/ (- eps (sin eps)) (- (* eps (* eps eps)) (pow (tan eps) 3)))>
#<alt (sin eps)>
#<alt (* eps (+ -27/2800 (* eps (* eps 27/112000))))>
#<alt (* eps (* eps 27/112000))>
#<alt (* (* eps (+ -27/2800 (* eps (* eps 27/112000)))) (* eps eps))>
#<alt (- eps (tan eps))>
#<alt (* (* eps eps) -1/362880)>
#<alt (cos eps)>
#<alt (- (* eps (* eps eps)) (pow (tan eps) 3))>

Outputs
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt (* 27/112000 (pow eps 6))>
#<alt (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))>
#<alt (* 27/112000 (pow eps 6))>
#<alt (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* 9/40 eps)>
#<alt (* 9/40 eps)>
#<alt (* 9/40 eps)>
#<alt (* 9/40 eps)>
#<alt (* 9/40 eps)>
#<alt (* 9/40 eps)>
#<alt (* 9/40 eps)>
#<alt (* 9/40 eps)>
#<alt (* 9/40 eps)>
#<alt (* 9/40 eps)>
#<alt (* 9/40 eps)>
#<alt (* 9/40 eps)>
#<alt -1/2>
#<alt (- (* -27/2800 (pow eps 4)) 1/2)>
#<alt (- (* (pow eps 4) (- (* 27/112000 (pow eps 2)) 27/2800)) 1/2)>
#<alt (- (* (pow eps 4) (- (* 27/112000 (pow eps 2)) 27/2800)) 1/2)>
#<alt (* 27/112000 (pow eps 6))>
#<alt (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (+ 27/112000 (* -1 (/ (+ 27/2800 (* 1/2 (/ 1 (pow eps 4)))) (pow eps 2)))))>
#<alt (* (pow eps 6) (+ 27/112000 (* -1 (/ (+ 27/2800 (* 1/2 (/ 1 (pow eps 4)))) (pow eps 2)))))>
#<alt (* 27/112000 (pow eps 6))>
#<alt (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (+ 27/112000 (* -1 (/ (+ 27/2800 (* 1/2 (/ 1 (pow eps 4)))) (pow eps 2)))))>
#<alt (* (pow eps 6) (+ 27/112000 (* -1 (/ (+ 27/2800 (* 1/2 (/ 1 (pow eps 4)))) (pow eps 2)))))>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (* 9/40 (pow eps 2))>
#<alt (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* 9/40 (pow eps 2))>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt (* -1/362880 (pow eps 8))>
#<alt (* (pow eps 8) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880))>
#<alt (* (pow eps 8) (- (/ 1/5040 (pow eps 2)) (+ 1/362880 (+ (* 1/362880 (/ (sin eps) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))>
#<alt (* (pow eps 8) (- (+ (/ 1/5040 (pow eps 2)) (/ (* (sin eps) (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* (pow eps 3) (cos eps)))) (+ 1/362880 (+ (* 1/362880 (/ (sin eps) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))>
#<alt (* -1/362880 (pow eps 8))>
#<alt (* (pow eps 8) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880))>
#<alt (* (pow eps 8) (- (* -1 (/ (- (* -1 (/ (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (* -1/362880 (/ (sin eps) (cos eps)))) eps)) 1/362880))>
#<alt (* (pow eps 8) (- (* -1 (/ (- (* -1 (/ (- (+ 1/5040 (/ (* (sin eps) (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (* -1/362880 (/ (sin eps) (cos eps)))) eps)) 1/362880))>
#<alt (* 1/6 (pow eps 3))>
#<alt (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))>
#<alt (* -1/362880 (pow eps 9))>
#<alt (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))>
#<alt (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))>
#<alt (* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))>
#<alt (* -1/362880 (pow eps 9))>
#<alt (* -1 (* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* (pow eps 2) (+ 1/6 (* -1/120 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))>
#<alt (* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))>
#<alt (* -1/362880 (pow eps 8))>
#<alt (* (pow eps 8) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))>
#<alt (* (pow eps 8) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))>
#<alt (* (pow eps 8) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))>
#<alt (* -1/362880 (pow eps 8))>
#<alt (* (pow eps 8) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))>
#<alt (* (pow eps 8) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))>
#<alt (* (pow eps 8) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))>
#<alt (* -1/3 (pow eps 3))>
#<alt (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))>
#<alt eps>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt -1>
#<alt (- (* -1/2 (pow eps 2)) 1)>
#<alt (- (* (pow eps 2) (- (* -5/24 (pow eps 2)) 1/2)) 1)>
#<alt (- (* (pow eps 2) (- (* (pow eps 2) (- (* -61/720 (pow eps 2)) 5/24)) 1/2)) 1)>
#<alt (/ -1 (cos eps))>
#<alt (/ -1 (cos eps))>
#<alt (/ -1 (cos eps))>
#<alt (/ -1 (cos eps))>
#<alt (/ -1 (cos eps))>
#<alt (/ -1 (cos eps))>
#<alt (/ -1 (cos eps))>
#<alt (/ -1 (cos eps))>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps))))) eps)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2)))) eps))) eps)))>
#<alt (* 1/6 (pow eps 3))>
#<alt (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))>
#<alt eps>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt 1>
#<alt (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps)))))>
#<alt (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 2)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))) (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps)))>
#<alt (+ 1 (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)))) eps)))>
#<alt (+ 1 (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1 (/ (- (/ (pow (sin eps) 3) (pow (cos eps) 2)) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)))) eps)))>
#<alt (/ -1/6 (pow eps 2))>
#<alt (/ (- (* 47/360 (pow eps 2)) 1/6) (pow eps 2))>
#<alt (/ (- (* (pow eps 2) (+ 47/360 (* -4159/226800 (pow eps 2)))) 1/6) (pow eps 2))>
#<alt (/ (- (* (pow eps 2) (+ 47/360 (* (pow eps 2) (- (* -57613/27216000 (pow eps 2)) 4159/226800)))) 1/6) (pow eps 2))>
#<alt (/ 1 (pow eps 2))>
#<alt (/ (+ 1 (* -1 (/ (sin eps) eps))) (pow eps 2))>
#<alt (/ (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))))) (pow eps 2))>
#<alt (/ (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (pow (sin eps) 4) (* (pow eps 4) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))))) (pow eps 2))>
#<alt (/ 1 (pow eps 2))>
#<alt (/ (+ 1 (* -1 (/ (sin eps) eps))) (pow eps 2))>
#<alt (/ (+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 3))))) eps))) (pow eps 2))>
#<alt (/ (+ 1 (* -1 (/ (- (+ (sin eps) (/ (pow (sin eps) 4) (* (pow eps 3) (pow (cos eps) 3)))) (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 3)))) eps))) (pow eps 2))>
#<alt eps>
#<alt (* eps (+ 1 (* -1/6 (pow eps 2))))>
#<alt (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))>
#<alt (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (* -27/2800 eps)>
#<alt (* eps (- (* 27/112000 (pow eps 2)) 27/2800))>
#<alt (* eps (- (* 27/112000 (pow eps 2)) 27/2800))>
#<alt (* eps (- (* 27/112000 (pow eps 2)) 27/2800))>
#<alt (* 27/112000 (pow eps 3))>
#<alt (* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* 27/112000 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))>
#<alt (* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))>
#<alt (* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))>
#<alt (* 27/112000 (pow eps 2))>
#<alt (* 27/112000 (pow eps 2))>
#<alt (* 27/112000 (pow eps 2))>
#<alt (* 27/112000 (pow eps 2))>
#<alt (* 27/112000 (pow eps 2))>
#<alt (* 27/112000 (pow eps 2))>
#<alt (* 27/112000 (pow eps 2))>
#<alt (* 27/112000 (pow eps 2))>
#<alt (* 27/112000 (pow eps 2))>
#<alt (* 27/112000 (pow eps 2))>
#<alt (* 27/112000 (pow eps 2))>
#<alt (* 27/112000 (pow eps 2))>
#<alt (* -27/2800 (pow eps 3))>
#<alt (* (pow eps 3) (- (* 27/112000 (pow eps 2)) 27/2800))>
#<alt (* (pow eps 3) (- (* 27/112000 (pow eps 2)) 27/2800))>
#<alt (* (pow eps 3) (- (* 27/112000 (pow eps 2)) 27/2800))>
#<alt (* 27/112000 (pow eps 5))>
#<alt (* (pow eps 5) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 5) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 5) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* 27/112000 (pow eps 5))>
#<alt (* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))>
#<alt (* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))>
#<alt (* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))>
#<alt (* -1/3 (pow eps 3))>
#<alt (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))>
#<alt eps>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1/362880 (pow eps 2))>
#<alt (* -1/362880 (pow eps 2))>
#<alt (* -1/362880 (pow eps 2))>
#<alt (* -1/362880 (pow eps 2))>
#<alt (* -1/362880 (pow eps 2))>
#<alt (* -1/362880 (pow eps 2))>
#<alt (* -1/362880 (pow eps 2))>
#<alt (* -1/362880 (pow eps 2))>
#<alt (* -1/362880 (pow eps 2))>
#<alt (* -1/362880 (pow eps 2))>
#<alt (* -1/362880 (pow eps 2))>
#<alt (* -1/362880 (pow eps 2))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow eps 2)))>
#<alt (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (* -1 (pow eps 5))>
#<alt (* (pow eps 5) (- (* -11/15 (pow eps 2)) 1))>
#<alt (* (pow eps 5) (- (* (pow eps 2) (- (* -88/189 (pow eps 2)) 11/15)) 1))>
#<alt (* (pow eps 5) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -1282/4725 (pow eps 2)) 88/189)) 11/15)) 1))>
#<alt (pow eps 3)>
#<alt (* (pow eps 3) (+ 1 (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))))))>
#<alt (* (pow eps 3) (+ 1 (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))))))>
#<alt (* (pow eps 3) (+ 1 (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))))))>
#<alt (pow eps 3)>
#<alt (* -1 (* (pow eps 3) (- (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))) 1)))>
#<alt (* -1 (* (pow eps 3) (- (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))) 1)))>
#<alt (* -1 (* (pow eps 3) (- (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))) 1)))>

Calls

72 calls:

Time	Variable		Point	Expression
10.0ms	eps	@	inf	(* (* eps (+ -27/2800 (* eps (* eps 27/112000)))) (* eps eps))
2.0ms	eps	@	inf	(* (/ (- eps (sin eps)) (- (* eps (* eps eps)) (pow (tan eps) 3))) (+ (* eps eps) (* (tan eps) (+ eps (tan eps)))))
1.0ms	eps	@	inf	(/ (* eps (* (* eps eps) (+ 1/6 (* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))))) (- eps (tan eps)))
1.0ms	eps	@	0	(* (/ (- eps (sin eps)) (- (* eps (* eps eps)) (pow (tan eps) 3))) (+ (* eps eps) (* (tan eps) (+ eps (tan eps)))))
1.0ms	eps	@	-inf	(* (/ (- eps (sin eps)) (- (* eps (* eps eps)) (pow (tan eps) 3))) (+ (* eps eps) (* (tan eps) (+ eps (tan eps)))))

rewrite491.0ms (2.5%)

Memory

32.6MiB live, 884.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 166×	`/-lowering-/.f32`
4 166×	`/-lowering-/.f64`
3 836×	`-lowering-.f32`
3 836×	`-lowering-.f64`
3 064×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	248
1	347	220
2	3150	220
0	8283	203

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 1 003

Calls

Call 1

Inputs
(+ (* eps (* eps 9/40)) (+ (* eps (* (* eps (+ -27/2800 (* eps (* eps 27/112000)))) (* eps eps))) -1/2))
(* eps (* eps 9/40))
(* eps 9/40)
(+ (* eps (* (* eps (+ -27/2800 (* eps (* eps 27/112000)))) (* eps eps))) -1/2)
(+ (* (* eps eps) 9/40) -1/2)
(* (* eps eps) 9/40)
(* eps eps)
(/ (* eps (* (* eps eps) (+ 1/6 (* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))))) (- eps (tan eps)))
(* eps (* (* eps eps) (+ 1/6 (* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))))
(* (* eps eps) (+ 1/6 (* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))))
(+ (* (sin eps) (neg (/ 1 (cos eps)))) eps)
(neg (/ 1 (cos eps)))
(/ (- eps (sin eps)) (+ (* (sin eps) (neg (/ 1 (cos eps)))) eps))
(- eps (sin eps))
(* (/ (- eps (sin eps)) (- (* eps (* eps eps)) (pow (tan eps) 3))) (+ (* eps eps) (* (tan eps) (+ eps (tan eps)))))
(/ (- eps (sin eps)) (- (* eps (* eps eps)) (pow (tan eps) 3)))
(sin eps)
(* eps (+ -27/2800 (* eps (* eps 27/112000))))
(* eps (* eps 27/112000))
(* (* eps (+ -27/2800 (* eps (* eps 27/112000)))) (* eps eps))
(- eps (tan eps))
(* (* eps eps) -1/362880)
(cos eps)
(- (* eps (* eps eps)) (pow (tan eps) 3))

Outputs
(+.f64 (.f64 eps (.f64 eps #s(literal 9/40 binary64))) (+.f64 (.f64 eps (.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))) (.f64 eps (.f64 eps eps)))) #s(literal -1/2 binary64)))
(+.f64 (.f64 eps (.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))) (.f64 eps (.f64 eps eps)))) (+.f64 (.f64 eps (.f64 eps #s(literal 9/40 binary64))) #s(literal -1/2 binary64)))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))))))))
(+.f64 (+.f64 (.f64 eps (.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))) (.f64 eps (.f64 eps eps)))) #s(literal -1/2 binary64)) (.f64 eps (.f64 eps #s(literal 9/40 binary64))))
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))))))) #s(literal -1/2 binary64))
(+.f64 (+.f64 (.f64 eps (.f64 eps #s(literal 9/40 binary64))) #s(literal -1/2 binary64)) (.f64 eps (.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))) (.f64 eps (.f64 eps eps)))))
(-.f64 (/.f64 (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal 81/1600 binary64)) (-.f64 (+.f64 (.f64 eps (.f64 eps #s(literal 9/40 binary64))) #s(literal 1/2 binary64)) (.f64 eps (.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))) (.f64 eps (.f64 eps eps)))))) (/.f64 (.f64 (+.f64 (.f64 eps (.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))) (.f64 eps (.f64 eps eps)))) #s(literal -1/2 binary64)) (+.f64 (.f64 eps (.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))) (.f64 eps (.f64 eps eps)))) #s(literal -1/2 binary64))) (-.f64 (+.f64 (.f64 eps (.f64 eps #s(literal 9/40 binary64))) #s(literal 1/2 binary64)) (.f64 eps (.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))) (.f64 eps (*.f64 eps eps)))))))
(-.f64 (/.f64 (.f64 (+.f64 (.f64 eps (.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))) (.f64 eps (.f64 eps eps)))) #s(literal -1/2 binary64)) (+.f64 (.f64 eps (.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))) (.f64 eps (.f64 eps eps)))) #s(literal -1/2 binary64))) (-.f64 (+.f64 (.f64 eps (.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))) (.f64 eps (.f64 eps eps)))) #s(literal -1/2 binary64)) (.f64 eps (.f64 eps #s(literal 9/40 binary64))))) (/.f64 (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal 81/1600 binary64)) (-.f64 (+.f64 (.f64 eps (.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))) (.f64 eps (.f64 eps eps)))) #s(literal -1/2 binary64)) (.f64 eps (*.f64 eps #s(literal 9/40 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))))))) (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))))))) (-.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))))))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 eps (*.f64 eps #s(literal 27/112000 binary64)))))))) #s(literal -1/2 binary64))))
(fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) (+.f64 (.f64 eps (.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))) (.f64 eps (*.f64 eps eps)))) #s(literal -1/2 binary64)))
(fma.f64 eps (.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))) (.f64 eps (.f64 eps eps))) (+.f64 (.f64 eps (*.f64 eps #s(literal 9/40 binary64))) #s(literal -1/2 binary64)))
(fma.f64 eps (+.f64 (.f64 eps #s(literal 9/40 binary64)) (.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))) (.f64 eps (.f64 eps eps)))) #s(literal -1/2 binary64))
(fma.f64 #s(literal 9/40 binary64) (.f64 eps eps) (+.f64 (.f64 eps (.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))) (.f64 eps (*.f64 eps eps)))) #s(literal -1/2 binary64)))
(fma.f64 (.f64 eps #s(literal 9/40 binary64)) eps (+.f64 (.f64 eps (.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))) (.f64 eps (*.f64 eps eps)))) #s(literal -1/2 binary64)))
(fma.f64 (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))) (.f64 eps (.f64 eps eps)) (+.f64 (.f64 eps (*.f64 eps #s(literal 9/40 binary64))) #s(literal -1/2 binary64)))
(fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) (+.f64 (.f64 eps (.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))) (.f64 eps (*.f64 eps eps)))) #s(literal -1/2 binary64)))
(fma.f64 (.f64 eps eps) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))))) (+.f64 (.f64 eps (*.f64 eps #s(literal 9/40 binary64))) #s(literal -1/2 binary64)))
(fma.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 eps (*.f64 eps #s(literal 27/112000 binary64))))))) #s(literal -1/2 binary64))
(fma.f64 (.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))) (.f64 eps (.f64 eps eps))) eps (+.f64 (.f64 eps (*.f64 eps #s(literal 9/40 binary64))) #s(literal -1/2 binary64)))
(fma.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))) (+.f64 (.f64 eps (*.f64 eps #s(literal 9/40 binary64))) #s(literal -1/2 binary64)))
(fma.f64 (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 729/64000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal -9/80 binary64))) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal 81/1600 binary64)))) (.f64 eps (.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))) (.f64 eps (.f64 eps eps)))))
(fma.f64 (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 eps (.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))) (.f64 eps (.f64 eps eps)))) (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))))) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))))) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))))))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))) (.f64 eps (.f64 eps eps))) (.f64 eps #s(literal -1/2 binary64)))))) (.f64 eps (.f64 eps #s(literal 9/40 binary64))))
(fma.f64 (+.f64 (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal 81/1600 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 eps (.f64 eps #s(literal 9/40 binary64))) #s(literal 1/2 binary64))) (.f64 eps (.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))) (.f64 eps (.f64 eps eps)))))
(fma.f64 (+.f64 (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))))) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))))))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 eps (.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))) (.f64 eps (.f64 eps eps)))) #s(literal 1/2 binary64))) (.f64 eps (*.f64 eps #s(literal 9/40 binary64))))
(fma.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))))) (.f64 eps eps) (+.f64 (.f64 eps (*.f64 eps #s(literal 9/40 binary64))) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal 81/1600 binary64)) (.f64 (+.f64 (.f64 eps (.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))) (.f64 eps (.f64 eps eps)))) #s(literal -1/2 binary64)) (-.f64 (+.f64 (.f64 eps (.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))) (.f64 eps (.f64 eps eps)))) #s(literal -1/2 binary64)) (.f64 eps (.f64 eps #s(literal 9/40 binary64)))))) (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 729/64000 binary64))) (.f64 (+.f64 (.f64 eps (.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))) (.f64 eps (.f64 eps eps)))) #s(literal -1/2 binary64)) (.f64 (+.f64 (.f64 eps (.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))) (.f64 eps (.f64 eps eps)))) #s(literal -1/2 binary64)) (+.f64 (.f64 eps (.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))) (.f64 eps (*.f64 eps eps)))) #s(literal -1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (.f64 eps (.f64 eps #s(literal 9/40 binary64))) #s(literal 1/2 binary64)) (.f64 eps (.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))) (.f64 eps (.f64 eps eps))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))))))) (-.f64 (+.f64 (.f64 eps (.f64 eps #s(literal 9/40 binary64))) #s(literal 1/2 binary64)) (.f64 eps (.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))) (.f64 eps (*.f64 eps eps))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal 81/1600 binary64)) (.f64 (+.f64 (.f64 eps (.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))) (.f64 eps (.f64 eps eps)))) #s(literal -1/2 binary64)) (-.f64 (+.f64 (.f64 eps (.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))) (.f64 eps (.f64 eps eps)))) #s(literal -1/2 binary64)) (.f64 eps (.f64 eps #s(literal 9/40 binary64)))))) (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 729/64000 binary64))) (.f64 (+.f64 (.f64 eps (.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))) (.f64 eps (.f64 eps eps)))) #s(literal -1/2 binary64)) (.f64 (+.f64 (.f64 eps (.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))) (.f64 eps (.f64 eps eps)))) #s(literal -1/2 binary64)) (+.f64 (.f64 eps (.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))) (.f64 eps (*.f64 eps eps)))) #s(literal -1/2 binary64))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (.f64 eps (.f64 eps #s(literal 9/40 binary64))) #s(literal 1/2 binary64)) (.f64 eps (.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))) (.f64 eps (.f64 eps eps))))) (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))))))) (-.f64 (+.f64 (.f64 eps (.f64 eps #s(literal 9/40 binary64))) #s(literal 1/2 binary64)) (.f64 eps (.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))) (.f64 eps (*.f64 eps eps)))))))))
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(fma.f64 (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64)) (pow.f64 (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (-.f64 #s(literal 0 binary64) (tan.f64 eps))) #s(literal 3/2 binary64)) (.f64 eps (*.f64 eps eps)))
(fma.f64 (pow.f64 eps #s(literal 3/2 binary64)) (pow.f64 eps #s(literal 3/2 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))
(fma.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64))) (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64)) (.f64 eps (.f64 eps eps)))
(fma.f64 (pow.f64 (.f64 (sin.f64 eps) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal -3 binary64)) (.f64 eps (*.f64 eps eps)))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 3/2 binary64)) (pow.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal 0 binary64) (tan.f64 eps))) #s(literal 3/2 binary64)) (.f64 eps (*.f64 eps eps)))
(fma.f64 (pow.f64 (pow.f64 (cos.f64 eps) #s(literal -2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (.f64 eps (.f64 eps eps)))
(fma.f64 (pow.f64 (.f64 (-.f64 #s(literal 0 binary64) (tan.f64 eps)) (sin.f64 eps)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 3/2 binary64)) (.f64 eps (*.f64 eps eps)))
(fma.f64 (pow.f64 (.f64 (-.f64 #s(literal 0 binary64) (tan.f64 eps)) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 3/2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3/2 binary64)) (.f64 eps (*.f64 eps eps)))
(fma.f64 (pow.f64 (.f64 (sin.f64 eps) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal -3 binary64)) (.f64 eps (*.f64 eps eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 eps (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps)))) (+.f64 (pow.f64 (tan.f64 eps) #s(literal 6 binary64)) (pow.f64 (.f64 eps (tan.f64 eps)) #s(literal 3 binary64)))) (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps))))) (pow.f64 (tan.f64 eps) #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (+.f64 (.f64 eps (.f64 (.f64 eps eps) (.f64 eps (*.f64 eps eps)))) (pow.f64 (tan.f64 eps) #s(literal 6 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 eps (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps)))) (+.f64 (pow.f64 (tan.f64 eps) #s(literal 6 binary64)) (pow.f64 (.f64 eps (tan.f64 eps)) #s(literal 3 binary64)))) (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps))))) (pow.f64 (tan.f64 eps) #s(literal 9 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (+.f64 (.f64 eps (.f64 (.f64 eps eps) (.f64 eps (*.f64 eps eps)))) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps))))) (pow.f64 (tan.f64 eps) #s(literal 9 binary64))) (+.f64 (.f64 eps (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps)))) (+.f64 (pow.f64 (tan.f64 eps) #s(literal 6 binary64)) (pow.f64 (.f64 eps (tan.f64 eps)) #s(literal 3 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps))))) (pow.f64 (tan.f64 eps) #s(literal 9 binary64))) (+.f64 (.f64 eps (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps)))) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 6 binary64)) (pow.f64 (.f64 eps (tan.f64 eps)) #s(literal 3 binary64)))))
(/.f64 (+.f64 (.f64 eps (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps)))) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (+.f64 (.f64 eps (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps))))) (pow.f64 (tan.f64 eps) #s(literal 9 binary64)))) (neg.f64 (+.f64 (.f64 eps (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps)))) (+.f64 (pow.f64 (tan.f64 eps) #s(literal 6 binary64)) (pow.f64 (.f64 eps (tan.f64 eps)) #s(literal 3 binary64))))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps))))) (pow.f64 (tan.f64 eps) #s(literal 9 binary64)))) (neg.f64 (+.f64 (.f64 eps (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps)))) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 6 binary64)) (pow.f64 (.f64 eps (tan.f64 eps)) #s(literal 3 binary64))))))
(/.f64 (neg.f64 (+.f64 (.f64 eps (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps)))) (pow.f64 (tan.f64 eps) #s(literal 6 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 eps (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (tan.f64 eps) #s(literal 9 binary64)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps)))))) (+.f64 (pow.f64 (tan.f64 eps) #s(literal 6 binary64)) (-.f64 (.f64 eps (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps)))) (pow.f64 (.f64 eps (tan.f64 eps)) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 6 binary64)) (.f64 eps (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps))))) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (.f64 eps (*.f64 eps eps))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps))))) (+.f64 (.f64 eps (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps)))) (+.f64 (pow.f64 (tan.f64 eps) #s(literal 6 binary64)) (pow.f64 (.f64 eps (tan.f64 eps)) #s(literal 3 binary64))))) (.f64 (+.f64 (.f64 eps (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps)))) (+.f64 (pow.f64 (tan.f64 eps) #s(literal 6 binary64)) (pow.f64 (.f64 eps (tan.f64 eps)) #s(literal 3 binary64)))) (pow.f64 (tan.f64 eps) #s(literal 9 binary64)))) (.f64 (+.f64 (.f64 eps (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps)))) (+.f64 (pow.f64 (tan.f64 eps) #s(literal 6 binary64)) (pow.f64 (.f64 eps (tan.f64 eps)) #s(literal 3 binary64)))) (+.f64 (.f64 eps (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps)))) (+.f64 (pow.f64 (tan.f64 eps) #s(literal 6 binary64)) (pow.f64 (*.f64 eps (tan.f64 eps)) #s(literal 3 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 eps (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps)))) (+.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (.f64 (+.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (pow.f64 (tan.f64 eps) #s(literal 6 binary64)))) (+.f64 (.f64 eps (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps)))) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 6 binary64)) (.f64 eps (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps)))))) (neg.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (.f64 eps (*.f64 eps eps)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps))))) (pow.f64 (tan.f64 eps) #s(literal 9 binary64))))) (neg.f64 (neg.f64 (+.f64 (.f64 eps (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps)))) (+.f64 (pow.f64 (tan.f64 eps) #s(literal 6 binary64)) (pow.f64 (.f64 eps (tan.f64 eps)) #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (.f64 eps (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps)))) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 eps (*.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 eps) #s(literal 9 binary64)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps))))))) (neg.f64 (+.f64 (pow.f64 (tan.f64 eps) #s(literal 6 binary64)) (-.f64 (.f64 eps (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps)))) (pow.f64 (.f64 eps (tan.f64 eps)) #s(literal 3 binary64))))))
(pow.f64 (/.f64 (+.f64 (.f64 eps (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps)))) (+.f64 (pow.f64 (tan.f64 eps) #s(literal 6 binary64)) (pow.f64 (.f64 eps (tan.f64 eps)) #s(literal 3 binary64)))) (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps))))) (pow.f64 (tan.f64 eps) #s(literal 9 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (+.f64 (.f64 eps (.f64 (.f64 eps eps) (.f64 eps (*.f64 eps eps)))) (pow.f64 (tan.f64 eps) #s(literal 6 binary64)))) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 eps eps) (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))) (-.f64 eps (tan.f64 eps)))
(.f64 (+.f64 (.f64 eps eps) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) eps))) (+.f64 eps (tan.f64 eps)))
(.f64 (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps))))) (pow.f64 (tan.f64 eps) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 eps (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps)))) (+.f64 (pow.f64 (tan.f64 eps) #s(literal 6 binary64)) (pow.f64 (*.f64 eps (tan.f64 eps)) #s(literal 3 binary64))))))
(.f64 (+.f64 (.f64 eps (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps)))) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))))

simplify541.0ms (2.8%)

Memory

-6.1MiB live, 902.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 568×	`accelerator-lowering-fma.f32`
11 568×	`accelerator-lowering-fma.f64`
5 086×	`+-lowering-+.f64`
5 086×	`+-lowering-+.f32`
4 790×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	411	3032
1	1143	2951
2	3595	2857
0	8253	2746

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(* 9/40 (pow eps 2))
(* 9/40 (pow eps 2))
(* 9/40 (pow eps 2))
(* 9/40 (pow eps 2))
(* 9/40 (pow eps 2))
(* 9/40 (pow eps 2))
(* 9/40 (pow eps 2))
(* 9/40 (pow eps 2))
(* 9/40 (pow eps 2))
(* 9/40 (pow eps 2))
(* 9/40 (pow eps 2))
(* 9/40 (pow eps 2))
(* 9/40 eps)
(* 9/40 eps)
(* 9/40 eps)
(* 9/40 eps)
(* 9/40 eps)
(* 9/40 eps)
(* 9/40 eps)
(* 9/40 eps)
(* 9/40 eps)
(* 9/40 eps)
(* 9/40 eps)
(* 9/40 eps)
-1/2
(- (* -27/2800 (pow eps 4)) 1/2)
(- (* (pow eps 4) (- (* 27/112000 (pow eps 2)) 27/2800)) 1/2)
(- (* (pow eps 4) (- (* 27/112000 (pow eps 2)) 27/2800)) 1/2)
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (+ 27/112000 (* -1 (/ (+ 27/2800 (* 1/2 (/ 1 (pow eps 4)))) (pow eps 2)))))
(* (pow eps 6) (+ 27/112000 (* -1 (/ (+ 27/2800 (* 1/2 (/ 1 (pow eps 4)))) (pow eps 2)))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (+ 27/112000 (* -1 (/ (+ 27/2800 (* 1/2 (/ 1 (pow eps 4)))) (pow eps 2)))))
(* (pow eps 6) (+ 27/112000 (* -1 (/ (+ 27/2800 (* 1/2 (/ 1 (pow eps 4)))) (pow eps 2)))))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* 9/40 (pow eps 2)) 1/2)
(- (* 9/40 (pow eps 2)) 1/2)
(* 9/40 (pow eps 2))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* 9/40 (pow eps 2))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* 9/40 (pow eps 2))
(* 9/40 (pow eps 2))
(* 9/40 (pow eps 2))
(* 9/40 (pow eps 2))
(* 9/40 (pow eps 2))
(* 9/40 (pow eps 2))
(* 9/40 (pow eps 2))
(* 9/40 (pow eps 2))
(* 9/40 (pow eps 2))
(* 9/40 (pow eps 2))
(* 9/40 (pow eps 2))
(* 9/40 (pow eps 2))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* -1/362880 (pow eps 8))
(* (pow eps 8) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880))
(* (pow eps 8) (- (/ 1/5040 (pow eps 2)) (+ 1/362880 (+ (* 1/362880 (/ (sin eps) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))
(* (pow eps 8) (- (+ (/ 1/5040 (pow eps 2)) (/ (* (sin eps) (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* (pow eps 3) (cos eps)))) (+ 1/362880 (+ (* 1/362880 (/ (sin eps) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))
(* -1/362880 (pow eps 8))
(* (pow eps 8) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880))
(* (pow eps 8) (- (* -1 (/ (- (* -1 (/ (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (* -1/362880 (/ (sin eps) (cos eps)))) eps)) 1/362880))
(* (pow eps 8) (- (* -1 (/ (- (* -1 (/ (- (+ 1/5040 (/ (* (sin eps) (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (* -1/362880 (/ (sin eps) (cos eps)))) eps)) 1/362880))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(* -1/362880 (pow eps 9))
(* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* -1/362880 (pow eps 9))
(* -1 (* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))
(* 1/6 (pow eps 2))
(* (pow eps 2) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(* -1/362880 (pow eps 8))
(* (pow eps 8) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 8) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 8) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* -1/362880 (pow eps 8))
(* (pow eps 8) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 8) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 8) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
-1
(- (* -1/2 (pow eps 2)) 1)
(- (* (pow eps 2) (- (* -5/24 (pow eps 2)) 1/2)) 1)
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -61/720 (pow eps 2)) 5/24)) 1/2)) 1)
(/ -1 (cos eps))
(/ -1 (cos eps))
(/ -1 (cos eps))
(/ -1 (cos eps))
(/ -1 (cos eps))
(/ -1 (cos eps))
(/ -1 (cos eps))
(/ -1 (cos eps))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps))))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2)))) eps))) eps)))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps)))))
(+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 2)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))) (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))))
1
(+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps)))
(+ 1 (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)))) eps)))
(+ 1 (* -1 (/ (+ (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1 (/ (- (/ (pow (sin eps) 3) (pow (cos eps) 2)) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (+ (* -1 (/ (pow (sin eps) 2) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)))) eps)))
(/ -1/6 (pow eps 2))
(/ (- (* 47/360 (pow eps 2)) 1/6) (pow eps 2))
(/ (- (* (pow eps 2) (+ 47/360 (* -4159/226800 (pow eps 2)))) 1/6) (pow eps 2))
(/ (- (* (pow eps 2) (+ 47/360 (* (pow eps 2) (- (* -57613/27216000 (pow eps 2)) 4159/226800)))) 1/6) (pow eps 2))
(/ 1 (pow eps 2))
(/ (+ 1 (* -1 (/ (sin eps) eps))) (pow eps 2))
(/ (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))))) (pow eps 2))
(/ (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (pow (sin eps) 4) (* (pow eps 4) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))))) (pow eps 2))
(/ 1 (pow eps 2))
(/ (+ 1 (* -1 (/ (sin eps) eps))) (pow eps 2))
(/ (+ 1 (* -1 (/ (+ (sin eps) (* -1 (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 3))))) eps))) (pow eps 2))
(/ (+ 1 (* -1 (/ (- (+ (sin eps) (/ (pow (sin eps) 4) (* (pow eps 3) (pow (cos eps) 3)))) (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 3)))) eps))) (pow eps 2))
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(* -27/2800 eps)
(* eps (- (* 27/112000 (pow eps 2)) 27/2800))
(* eps (- (* 27/112000 (pow eps 2)) 27/2800))
(* eps (- (* 27/112000 (pow eps 2)) 27/2800))
(* 27/112000 (pow eps 3))
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 3))
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(* 27/112000 (pow eps 2))
(* 27/112000 (pow eps 2))
(* 27/112000 (pow eps 2))
(* 27/112000 (pow eps 2))
(* 27/112000 (pow eps 2))
(* 27/112000 (pow eps 2))
(* 27/112000 (pow eps 2))
(* 27/112000 (pow eps 2))
(* 27/112000 (pow eps 2))
(* 27/112000 (pow eps 2))
(* 27/112000 (pow eps 2))
(* 27/112000 (pow eps 2))
(* -27/2800 (pow eps 3))
(* (pow eps 3) (- (* 27/112000 (pow eps 2)) 27/2800))
(* (pow eps 3) (- (* 27/112000 (pow eps 2)) 27/2800))
(* (pow eps 3) (- (* 27/112000 (pow eps 2)) 27/2800))
(* 27/112000 (pow eps 5))
(* (pow eps 5) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 5) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 5) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 5))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1/362880 (pow eps 2))
(* -1/362880 (pow eps 2))
(* -1/362880 (pow eps 2))
(* -1/362880 (pow eps 2))
(* -1/362880 (pow eps 2))
(* -1/362880 (pow eps 2))
(* -1/362880 (pow eps 2))
(* -1/362880 (pow eps 2))
(* -1/362880 (pow eps 2))
(* -1/362880 (pow eps 2))
(* -1/362880 (pow eps 2))
(* -1/362880 (pow eps 2))
1
(+ 1 (* -1/2 (pow eps 2)))
(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))
(cos eps)
(cos eps)
(cos eps)
(cos eps)
(cos eps)
(cos eps)
(cos eps)
(cos eps)
(* -1 (pow eps 5))
(* (pow eps 5) (- (* -11/15 (pow eps 2)) 1))
(* (pow eps 5) (- (* (pow eps 2) (- (* -88/189 (pow eps 2)) 11/15)) 1))
(* (pow eps 5) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -1282/4725 (pow eps 2)) 88/189)) 11/15)) 1))
(pow eps 3)
(* (pow eps 3) (+ 1 (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))))))
(* (pow eps 3) (+ 1 (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))))))
(* (pow eps 3) (+ 1 (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))))))
(pow eps 3)
(* -1 (* (pow eps 3) (- (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))) 1)))
(* -1 (* (pow eps 3) (- (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))) 1)))
(* -1 (* (pow eps 3) (- (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))) 1)))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 9/40 binary64) (.f64 eps eps)))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal -27/2800 binary64))))))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))))))
(* 27/112000 (pow eps 6))
(*.f64 #s(literal 27/112000 binary64) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))) (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 27/112000 binary64) (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)) (/.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 6 binary64)))))))
(* 27/112000 (pow eps 6))
(*.f64 #s(literal 27/112000 binary64) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))) (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 27/112000 binary64) (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)) (/.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 6 binary64)))))))
(* 9/40 (pow eps 2))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(* 9/40 (pow eps 2))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(* 9/40 (pow eps 2))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(* 9/40 (pow eps 2))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(* 9/40 (pow eps 2))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(* 9/40 (pow eps 2))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(* 9/40 (pow eps 2))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(* 9/40 (pow eps 2))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(* 9/40 (pow eps 2))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(* 9/40 (pow eps 2))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(* 9/40 (pow eps 2))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(* 9/40 (pow eps 2))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(* 9/40 eps)
(*.f64 #s(literal 9/40 binary64) eps)
(* 9/40 eps)
(*.f64 #s(literal 9/40 binary64) eps)
(* 9/40 eps)
(*.f64 #s(literal 9/40 binary64) eps)
(* 9/40 eps)
(*.f64 #s(literal 9/40 binary64) eps)
(* 9/40 eps)
(*.f64 #s(literal 9/40 binary64) eps)
(* 9/40 eps)
(*.f64 #s(literal 9/40 binary64) eps)
(* 9/40 eps)
(*.f64 #s(literal 9/40 binary64) eps)
(* 9/40 eps)
(*.f64 #s(literal 9/40 binary64) eps)
(* 9/40 eps)
(*.f64 #s(literal 9/40 binary64) eps)
(* 9/40 eps)
(*.f64 #s(literal 9/40 binary64) eps)
(* 9/40 eps)
(*.f64 #s(literal 9/40 binary64) eps)
(* 9/40 eps)
(*.f64 #s(literal 9/40 binary64) eps)
-1/2
#s(literal -1/2 binary64)
(- (* -27/2800 (pow eps 4)) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (.f64 eps (.f64 eps #s(literal -27/2800 binary64))))))
(- (* (pow eps 4) (- (* 27/112000 (pow eps 2)) 27/2800)) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))) (.f64 (.f64 eps eps) (.f64 eps eps))))
(- (* (pow eps 4) (- (* 27/112000 (pow eps 2)) 27/2800)) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))) (.f64 (.f64 eps eps) (.f64 eps eps))))
(* 27/112000 (pow eps 6))
(*.f64 #s(literal 27/112000 binary64) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))))
(* (pow eps 6) (+ 27/112000 (* -1 (/ (+ 27/2800 (* 1/2 (/ 1 (pow eps 4)))) (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (-.f64 #s(literal 27/112000 binary64) (/.f64 (+.f64 #s(literal 27/2800 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))) (*.f64 eps eps))))
(* (pow eps 6) (+ 27/112000 (* -1 (/ (+ 27/2800 (* 1/2 (/ 1 (pow eps 4)))) (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (-.f64 #s(literal 27/112000 binary64) (/.f64 (+.f64 #s(literal 27/2800 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))) (*.f64 eps eps))))
(* 27/112000 (pow eps 6))
(*.f64 #s(literal 27/112000 binary64) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))))
(* (pow eps 6) (+ 27/112000 (* -1 (/ (+ 27/2800 (* 1/2 (/ 1 (pow eps 4)))) (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (-.f64 #s(literal 27/112000 binary64) (/.f64 (+.f64 #s(literal 27/2800 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))) (*.f64 eps eps))))
(* (pow eps 6) (+ 27/112000 (* -1 (/ (+ 27/2800 (* 1/2 (/ 1 (pow eps 4)))) (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (-.f64 #s(literal 27/112000 binary64) (/.f64 (+.f64 #s(literal 27/2800 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))) (*.f64 eps eps))))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 9/40 binary64) (.f64 eps eps)))
(- (* 9/40 (pow eps 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 9/40 binary64) (.f64 eps eps)))
(- (* 9/40 (pow eps 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 9/40 binary64) (.f64 eps eps)))
(* 9/40 (pow eps 2))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))))
(* 9/40 (pow eps 2))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))))
(* 9/40 (pow eps 2))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(* 9/40 (pow eps 2))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(* 9/40 (pow eps 2))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(* 9/40 (pow eps 2))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(* 9/40 (pow eps 2))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(* 9/40 (pow eps 2))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(* 9/40 (pow eps 2))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(* 9/40 (pow eps 2))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(* 9/40 (pow eps 2))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(* 9/40 (pow eps 2))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(* 9/40 (pow eps 2))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(* 9/40 (pow eps 2))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 9/40 binary64) (.f64 eps eps)))
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(pow eps 3)
(.f64 eps (.f64 eps eps))
(* (pow eps 3) (+ 1 (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))))))
(.f64 (.f64 eps (.f64 eps eps)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (.f64 eps (*.f64 eps eps)))))
(* (pow eps 3) (+ 1 (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))))))
(.f64 (.f64 eps (.f64 eps eps)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (.f64 eps (*.f64 eps eps)))))
(* (pow eps 3) (+ 1 (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))))))
(.f64 (.f64 eps (.f64 eps eps)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (.f64 eps (*.f64 eps eps)))))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(* -1 (* (pow eps 3) (- (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))) 1)))
(.f64 (.f64 eps (.f64 eps eps)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (.f64 eps (*.f64 eps eps)))))
(* -1 (* (pow eps 3) (- (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))) 1)))
(.f64 (.f64 eps (.f64 eps eps)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (.f64 eps (*.f64 eps eps)))))
(* -1 (* (pow eps 3) (- (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))) 1)))
(.f64 (.f64 eps (.f64 eps eps)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (.f64 eps (*.f64 eps eps)))))

eval169.0ms (0.9%)

Memory: 0.2MiB live, 374.5MiB allocated
Compiler: Compiled 60 020 to 3 115 computations (94.8% saved)

prune152.0ms (0.8%)

Memory

3.9MiB live, 294.6MiB allocated

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	1 480	2	1 482
Fresh	0	0	0
Picked	1	4	5
Done	0	6	6
Total	1 481	12	1 493

Accuracy

100.0%

Counts

1 493 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	2.3%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps))
✓	2.4%	(/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 eps (tan.f64 eps))))
✓	2.6%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
▶	2.6%	(/.f64 (.f64 eps (/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))))) (.f64 (.f64 eps eps) (.f64 (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))) (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))))))) (.f64 eps eps)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))))) (-.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))))) #s(literal 1/6 binary64)))))) (-.f64 eps (tan.f64 eps)))
✓	2.6%	(/.f64 (.f64 eps (.f64 (.f64 eps eps) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 eps eps) #s(literal -1/362880 binary64))))))))) (-.f64 eps (tan.f64 eps)))
✓	99.9%	(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))))) #s(literal -1/2 binary64))
✓	99.7%	(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal -27/2800 binary64))))) #s(literal -1/2 binary64))
✓	99.1%	(+.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
✓	99.9%	(+.f64 (.f64 eps (.f64 eps #s(literal 9/40 binary64))) (+.f64 (.f64 eps (.f64 (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))) (.f64 eps eps))) #s(literal -1/2 binary64)))
✓	2.7%	(.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (+.f64 (.f64 eps eps) (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))))
✓	1.6%	(.f64 (/.f64 (+.f64 (-.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 eps #s(literal 2 binary64))))) (-.f64 eps (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (+.f64 eps (sin.f64 eps))))
✓	98.3%	#s(literal -1/2 binary64)

Compiler

Compiled 302 to 147 computations (51.3% saved)

simplify474.0ms (2.4%)

Memory

31.4MiB live, 729.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 eps)
✓	cost-diff	0	(-.f64 eps (sin.f64 eps))
✓	cost-diff	0	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps))
✓	cost-diff	6400	(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))))) (.f64 (.f64 eps eps) (.f64 (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))) (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))))))) (.f64 eps eps))
✓	cost-diff	0	(/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))))) (.f64 (.f64 eps eps) (.f64 (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))) (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))))))) (.f64 eps eps)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))))) (-.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 eps eps) #s(literal -1/362880 binary64))))))) #s(literal 1/6 binary64)))))
✓	cost-diff	0	(.f64 eps (/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))))) (.f64 (.f64 eps eps) (.f64 (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))) (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))))))) (.f64 eps eps)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))))) (-.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))))) #s(literal 1/6 binary64))))))
✓	cost-diff	0	(/.f64 (.f64 eps (/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))))) (.f64 (.f64 eps eps) (.f64 (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))) (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))))))) (.f64 eps eps)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))))) (-.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))))) #s(literal 1/6 binary64)))))) (-.f64 eps (tan.f64 eps)))

Rules

10 480×	`accelerator-lowering-fma.f32`
10 480×	`accelerator-lowering-fma.f64`
4 772×	`+-lowering-+.f64`
4 772×	`+-lowering-+.f32`
4 274×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	755
1	104	549
2	417	543
3	2531	539
4	4014	539
5	6148	539
6	7143	539
0	8105	474

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (* eps (/ (* (+ 1/216 (* (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) (* (* eps eps) (* (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))) (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))))) (* eps eps)) (+ 1/36 (* (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) (- (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) 1/6))))) (- eps (tan eps)))
(* eps (/ (* (+ 1/216 (* (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) (* (* eps eps) (* (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))) (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))))) (* eps eps)) (+ 1/36 (* (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) (- (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) 1/6)))))
eps
(/ (* (+ 1/216 (* (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) (* (* eps eps) (* (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))) (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))))) (* eps eps)) (+ 1/36 (* (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) (- (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) 1/6))))
(* (+ 1/216 (* (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) (* (* eps eps) (* (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))) (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))))) (* eps eps))
(+ 1/216 (* (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) (* (* eps eps) (* (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))) (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))))))
1/216
(* (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) (* (* eps eps) (* (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))) (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))))
(* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))
(* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))
(+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))
-1/120
(* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))
(* eps eps)
(+ 1/5040 (* (* eps eps) -1/362880))
1/5040
(* (* eps eps) -1/362880)
-1/362880
(* (* eps eps) (* (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))) (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))))
(* (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))) (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))
(+ 1/36 (* (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) (- (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) 1/6)))
1/36
(* (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) (- (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) 1/6))
(- (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) 1/6)
1/6
(- eps (tan eps))
(tan eps)
(/ (- eps (sin eps)) (+ (* (/ -1 (cos eps)) (sin eps)) eps))
(- eps (sin eps))
eps
(sin eps)
(+ (* (/ -1 (cos eps)) (sin eps)) eps)
(/ -1 (cos eps))
-1
(cos eps)

Outputs
(/ (* eps (/ (* (+ 1/216 (* (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) (* (* eps eps) (* (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))) (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))))) (* eps eps)) (+ 1/36 (* (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) (- (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) 1/6))))) (- eps (tan eps)))
(.f64 (/.f64 (.f64 eps eps) (+.f64 #s(literal 1/36 binary64) (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))) (.f64 (.f64 eps eps) (+.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))))) #s(literal -1/6 binary64)))))) (/.f64 (.f64 eps (+.f64 #s(literal 1/216 binary64) (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))) (.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))))) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))))))))))) (-.f64 eps (tan.f64 eps))))
(* eps (/ (* (+ 1/216 (* (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) (* (* eps eps) (* (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))) (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))))) (* eps eps)) (+ 1/36 (* (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) (- (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) 1/6)))))
(.f64 eps (/.f64 (.f64 eps (.f64 eps (+.f64 #s(literal 1/216 binary64) (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))) (.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))))) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))))))))))) (+.f64 #s(literal 1/36 binary64) (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))) (.f64 (.f64 eps eps) (+.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))))) #s(literal -1/6 binary64)))))))
eps
(/ (* (+ 1/216 (* (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) (* (* eps eps) (* (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))) (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))))) (* eps eps)) (+ 1/36 (* (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) (- (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) 1/6))))
(/.f64 (.f64 eps (.f64 eps (+.f64 #s(literal 1/216 binary64) (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))) (.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))))) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))))))))))) (+.f64 #s(literal 1/36 binary64) (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))) (.f64 (.f64 eps eps) (+.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 eps eps) #s(literal -1/362880 binary64)))))))) #s(literal -1/6 binary64))))))
(* (+ 1/216 (* (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) (* (* eps eps) (* (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))) (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))))) (* eps eps))
(.f64 eps (.f64 eps (+.f64 #s(literal 1/216 binary64) (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))) (.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))))) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))))))))))))
(+ 1/216 (* (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) (* (* eps eps) (* (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))) (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))))))
(+.f64 #s(literal 1/216 binary64) (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))) (.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))))) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))))))))))
1/216
#s(literal 1/216 binary64)
(* (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) (* (* eps eps) (* (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))) (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))))
(.f64 (+.f64 #s(literal -1/120 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))) (.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))))) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))))))))
(* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))
(.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))))))
(* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))
(.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 eps eps) #s(literal -1/362880 binary64)))))))
(+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))
(+.f64 #s(literal -1/120 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))))
-1/120
#s(literal -1/120 binary64)
(* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))
(.f64 eps (.f64 eps (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))
(* eps eps)
(*.f64 eps eps)
(+ 1/5040 (* (* eps eps) -1/362880))
(+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))
1/5040
#s(literal 1/5040 binary64)
(* (* eps eps) -1/362880)
(.f64 (.f64 eps eps) #s(literal -1/362880 binary64))
-1/362880
#s(literal -1/362880 binary64)
(* (* eps eps) (* (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))) (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))))
(.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))))) (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 eps eps) #s(literal -1/362880 binary64)))))))))
(* (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))) (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))
(.f64 eps (.f64 eps (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))) (+.f64 #s(literal -1/120 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 eps eps) #s(literal -1/362880 binary64)))))))))
(+ 1/36 (* (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) (- (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) 1/6)))
(+.f64 #s(literal 1/36 binary64) (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))) (.f64 (.f64 eps eps) (+.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 eps eps) #s(literal -1/362880 binary64)))))))) #s(literal -1/6 binary64)))))
1/36
#s(literal 1/36 binary64)
(* (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) (- (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) 1/6))
(.f64 (+.f64 #s(literal -1/120 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))) (.f64 (.f64 eps eps) (+.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 eps eps) #s(literal -1/362880 binary64)))))))) #s(literal -1/6 binary64))))
(- (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) 1/6)
(+.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))))) #s(literal -1/6 binary64))
1/6
#s(literal 1/6 binary64)
(- eps (tan eps))
(-.f64 eps (tan.f64 eps))
(tan eps)
(tan.f64 eps)
(/ (- eps (sin eps)) (+ (* (/ -1 (cos eps)) (sin eps)) eps))
(/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) eps))
(- eps (sin eps))
(-.f64 eps (sin.f64 eps))
eps
(sin eps)
(sin.f64 eps)
(+ (* (/ -1 (cos eps)) (sin eps)) eps)
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/ -1 (cos eps))
(/.f64 #s(literal -1 binary64) (cos.f64 eps))
-1
#s(literal -1 binary64)
(cos eps)
(cos.f64 eps)

localize518.0ms (2.7%)

Memory

-7.9MiB live, 865.8MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 eps)
✓	accuracy	66.6%	(-.f64 eps (sin.f64 eps))
✓	accuracy	66.5%	(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)
✓	accuracy	39.0%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps))
✓	accuracy	99.6%	(.f64 (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))) (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 eps eps) #s(literal -1/362880 binary64)))))))
✓	accuracy	99.6%	(/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))))) (.f64 (.f64 eps eps) (.f64 (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))) (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))))))) (.f64 eps eps)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))))) (-.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 eps eps) #s(literal -1/362880 binary64))))))) #s(literal 1/6 binary64)))))
✓	accuracy	66.6%	(-.f64 eps (tan.f64 eps))
✓	accuracy	39.0%	(/.f64 (.f64 eps (/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))))) (.f64 (.f64 eps eps) (.f64 (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))) (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))))))) (.f64 eps eps)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))))) (-.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))))) #s(literal 1/6 binary64)))))) (-.f64 eps (tan.f64 eps)))

Samples

259.0ms	129×	2	valid
83.0ms	40×	3	valid
59.0ms	81×	1	valid
2.0ms	6×	0	valid

Compiler

Compiled 755 to 37 computations (95.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 366.0ms

ival-tan: 128.0ms (35% of total)

const: 58.0ms (15.8% of total)

ival-sin: 48.0ms (13.1% of total)

ival-mult: 37.0ms (10.1% of total)

ival-cos: 32.0ms (8.7% of total)

adjust: 27.0ms (7.4% of total)

ival-div: 14.0ms (3.8% of total)

ival-add: 11.0ms (3% of total)

ival-sub: 9.0ms (2.5% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.1%)

Memory

-9.9MiB live, 27.3MiB allocated

Counts

11 → 132

Calls

Call 1

Inputs
#<alt (/ (* eps (/ (* (+ 1/216 (* (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) (* (* eps eps) (* (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))) (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))))) (* eps eps)) (+ 1/36 (* (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) (- (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) 1/6))))) (- eps (tan eps)))>
#<alt (* eps (/ (* (+ 1/216 (* (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) (* (* eps eps) (* (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))) (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))))) (* eps eps)) (+ 1/36 (* (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) (- (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) 1/6)))))>
#<alt (/ (* (+ 1/216 (* (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) (* (* eps eps) (* (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))) (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))))) (* eps eps)) (+ 1/36 (* (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) (- (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) 1/6))))>
#<alt (* (+ 1/216 (* (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) (* (* eps eps) (* (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))) (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))))) (* eps eps))>
#<alt (+ (* (/ -1 (cos eps)) (sin eps)) eps)>
#<alt (/ (- eps (sin eps)) (+ (* (/ -1 (cos eps)) (sin eps)) eps))>
#<alt (- eps (sin eps))>
#<alt (sin eps)>
#<alt (- eps (tan eps))>
#<alt (* (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))) (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))>
#<alt (cos eps)>

Outputs
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt (* -1/362880 (pow eps 8))>
#<alt (* (pow eps 8) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880))>
#<alt (* (pow eps 8) (- (/ 1/5040 (pow eps 2)) (+ 1/362880 (+ (* 1/362880 (/ (sin eps) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))>
#<alt (* (pow eps 8) (- (+ (* -1 (/ (+ (* -1 (/ (* (sin eps) (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (+ (* -1/2520 (/ (sin eps) (cos eps))) (* 1/2520 (/ (sin eps) (cos eps))))) (pow eps 3))) (/ 1/5040 (pow eps 2))) (+ 1/362880 (+ (* 1/362880 (/ (sin eps) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))>
#<alt (* -1/362880 (pow eps 8))>
#<alt (* (pow eps 8) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880))>
#<alt (* (pow eps 8) (- (* -1 (/ (- (* -1 (/ (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (* -1/362880 (/ (sin eps) (cos eps)))) eps)) 1/362880))>
#<alt (* (pow eps 8) (- (* -1 (/ (- (* -1 (/ (- (+ 1/5040 (+ (* -1/2520 (/ (sin eps) (* eps (cos eps)))) (+ (* 1/2520 (/ (sin eps) (* eps (cos eps)))) (/ (* (sin eps) (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* eps (cos eps)))))) (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (* -1/362880 (/ (sin eps) (cos eps)))) eps)) 1/362880))>
#<alt (* 1/6 (pow eps 3))>
#<alt (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))>
#<alt (* -1/362880 (pow eps 9))>
#<alt (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))>
#<alt (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))>
#<alt (* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))>
#<alt (* -1/362880 (pow eps 9))>
#<alt (* -1 (* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* (pow eps 2) (+ 1/6 (* -1/120 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))>
#<alt (* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))>
#<alt (* -1/362880 (pow eps 8))>
#<alt (* (pow eps 8) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))>
#<alt (* (pow eps 8) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))>
#<alt (* (pow eps 8) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))>
#<alt (* -1/362880 (pow eps 8))>
#<alt (* (pow eps 8) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))>
#<alt (* (pow eps 8) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))>
#<alt (* (pow eps 8) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))>
#<alt (* 1/216 (pow eps 2))>
#<alt (* (pow eps 2) (+ 1/216 (* -1/1728000 (pow eps 6))))>
#<alt (* (pow eps 2) (+ 1/216 (* (pow eps 6) (- (* 1/24192000 (pow eps 2)) 1/1728000))))>
#<alt (* (pow eps 2) (+ 1/216 (* (pow eps 6) (- (* (pow eps 2) (+ 1/24192000 (* -19/12192768000 (pow eps 2)))) 1/1728000))))>
#<alt (* -1/47784725839872000 (pow eps 20))>
#<alt (* (pow eps 20) (- (* 1/221225582592000 (/ 1 (pow eps 2))) 1/47784725839872000))>
#<alt (* (pow eps 20) (- (* 1/221225582592000 (/ 1 (pow eps 2))) (+ 1/47784725839872000 (/ 19/36870930432000 (pow eps 4)))))>
#<alt (* (pow eps 20) (- (+ (* 1/221225582592000 (/ 1 (pow eps 2))) (* 1/28449792000 (/ 1 (pow eps 6)))) (+ 1/47784725839872000 (/ 19/36870930432000 (pow eps 4)))))>
#<alt (* -1/47784725839872000 (pow eps 20))>
#<alt (* (pow eps 20) (- (* 1/221225582592000 (/ 1 (pow eps 2))) 1/47784725839872000))>
#<alt (* (pow eps 20) (- (* 1/221225582592000 (/ 1 (pow eps 2))) (+ 1/47784725839872000 (/ 19/36870930432000 (pow eps 4)))))>
#<alt (* (pow eps 20) (- (+ (* 1/221225582592000 (/ 1 (pow eps 2))) (* 1/28449792000 (/ 1 (pow eps 6)))) (+ 1/47784725839872000 (/ 19/36870930432000 (pow eps 4)))))>
#<alt (* -1/3 (pow eps 3))>
#<alt (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))>
#<alt eps>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps))))) eps)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2)))) eps))) eps)))>
#<alt (* 1/6 (pow eps 3))>
#<alt (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))>
#<alt eps>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt eps>
#<alt (* eps (+ 1 (* -1/6 (pow eps 2))))>
#<alt (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))>
#<alt (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (* -1/3 (pow eps 3))>
#<alt (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))>
#<alt eps>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* 1/14400 (pow eps 2))>
#<alt (* (pow eps 2) (+ 1/14400 (* -1/302400 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 1/14400 (* (pow eps 2) (- (* 13/152409600 (pow eps 2)) 1/302400))))>
#<alt (* (pow eps 2) (+ 1/14400 (* (pow eps 2) (- (* (pow eps 2) (+ 13/152409600 (* -1/914457600 (pow eps 2)))) 1/302400))))>
#<alt (* 1/131681894400 (pow eps 10))>
#<alt (* (pow eps 10) (- 1/131681894400 (* 1/914457600 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 10) (- (+ 1/131681894400 (/ 13/152409600 (pow eps 4))) (* 1/914457600 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 10) (- (+ 1/131681894400 (/ 13/152409600 (pow eps 4))) (+ (* 1/914457600 (/ 1 (pow eps 2))) (* 1/302400 (/ 1 (pow eps 6))))))>
#<alt (* 1/131681894400 (pow eps 10))>
#<alt (* (pow eps 10) (- 1/131681894400 (* 1/914457600 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 10) (- (+ 1/131681894400 (/ 13/152409600 (pow eps 4))) (* 1/914457600 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 10) (- (+ 1/131681894400 (/ 13/152409600 (pow eps 4))) (+ (* 1/914457600 (/ 1 (pow eps 2))) (* 1/302400 (/ 1 (pow eps 6))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow eps 2)))>
#<alt (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>

Calls

33 calls:

Time	Variable		Point	Expression
4.0ms	eps	@	0	(* (+ 1/216 (* (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) (* (* eps eps) (* (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))) (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))))) (* eps eps))
1.0ms	eps	@	inf	(/ (* eps (/ (* (+ 1/216 (* (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) (* (* eps eps) (* (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))) (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))))) (* eps eps)) (+ 1/36 (* (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) (- (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) 1/6))))) (- eps (tan eps)))
1.0ms	eps	@	0	(/ (* eps (/ (* (+ 1/216 (* (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) (* (* eps eps) (* (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))) (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))))) (* eps eps)) (+ 1/36 (* (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) (- (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) 1/6))))) (- eps (tan eps)))
1.0ms	eps	@	-inf	(/ (* eps (/ (* (+ 1/216 (* (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) (* (* eps eps) (* (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))) (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))))) (* eps eps)) (+ 1/36 (* (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) (- (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) 1/6))))) (- eps (tan eps)))
0.0ms	eps	@	inf	(* eps (/ (* (+ 1/216 (* (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) (* (* eps eps) (* (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))) (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))))) (* eps eps)) (+ 1/36 (* (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) (- (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) 1/6)))))

rewrite527.0ms (2.7%)

Memory

-9.5MiB live, 963.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 694×	`-lowering-.f32`
4 694×	`-lowering-.f64`
4 580×	`accelerator-lowering-fma.f32`
4 580×	`accelerator-lowering-fma.f64`
4 286×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	366
1	236	267
2	2087	267
0	8640	235

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 448

Calls

Call 1

Inputs
(/ (* eps (/ (* (+ 1/216 (* (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) (* (* eps eps) (* (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))) (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))))) (* eps eps)) (+ 1/36 (* (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) (- (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) 1/6))))) (- eps (tan eps)))
(* eps (/ (* (+ 1/216 (* (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) (* (* eps eps) (* (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))) (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))))) (* eps eps)) (+ 1/36 (* (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) (- (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) 1/6)))))
(/ (* (+ 1/216 (* (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) (* (* eps eps) (* (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))) (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))))) (* eps eps)) (+ 1/36 (* (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) (- (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) 1/6))))
(* (+ 1/216 (* (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))) (* (* eps eps) (* (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))) (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))))) (* eps eps))
(+ (* (/ -1 (cos eps)) (sin eps)) eps)
(/ (- eps (sin eps)) (+ (* (/ -1 (cos eps)) (sin eps)) eps))
(- eps (sin eps))
(sin eps)
(- eps (tan eps))
(* (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))) (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))
(cos eps)

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (/.f64 eps (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 eps (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))) (.f64 eps (+.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))))) #s(literal -1/6 binary64)))))) (.f64 eps (.f64 eps (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))))) (.f64 (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))) (.f64 (.f64 eps eps) (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))))))))))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (-.f64 eps (tan.f64 eps)))) (/.f64 (/.f64 eps (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 eps (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))) (.f64 eps (+.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))))) #s(literal -1/6 binary64)))))) (.f64 eps (.f64 eps (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))))) (.f64 (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))) (.f64 (.f64 eps eps) (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 eps eps) #s(literal -1/362880 binary64)))))))))))))) (-.f64 #s(literal 0 binary64) (-.f64 eps (tan.f64 eps)))))
(neg.f64 (/.f64 (/.f64 eps (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 eps (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))) (.f64 eps (+.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))))) #s(literal -1/6 binary64)))))) (.f64 eps (.f64 eps (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))))) (.f64 (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))) (.f64 (.f64 eps eps) (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 eps eps) #s(literal -1/362880 binary64)))))))))))))) (-.f64 #s(literal 0 binary64) (-.f64 eps (tan.f64 eps)))))
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(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))) (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/120 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))) (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))))) (.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))) (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))))))) (-.f64 (.f64 (.f64 #s(literal -1/120 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))))) (.f64 #s(literal -1/120 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))))))) (.f64 (.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))) (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))))) (.f64 #s(literal -1/120 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 eps eps) #s(literal -1/362880 binary64))))))))))))
(pow.f64 (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 eps eps) #s(literal -1/362880 binary64)))))) #s(literal 2 binary64))
(pow.f64 (.f64 eps (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))) (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 eps eps) #s(literal -1/362880 binary64)))))))) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 eps eps) #s(literal -1/362880 binary64)))))))) #s(literal 2 binary64))
(.f64 eps (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))) (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 eps eps) #s(literal -1/362880 binary64))))))))
(.f64 eps (.f64 eps (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 eps eps) #s(literal -1/362880 binary64))))))))
(.f64 (.f64 eps eps) (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 eps eps) #s(literal -1/362880 binary64)))))))
(.f64 (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))) (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 eps eps) #s(literal -1/362880 binary64))))))))
(.f64 (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))) (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 eps eps) #s(literal -1/362880 binary64)))))))
(.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))))) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 eps eps) #s(literal -1/362880 binary64))))))
(.f64 (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))) (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 eps eps) #s(literal -1/362880 binary64))))))) eps)
(.f64 (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))) (*.f64 eps eps))
(.f64 (exp.f64 (log.f64 (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))))) (exp.f64 (log.f64 (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 eps eps) #s(literal -1/362880 binary64)))))))))
(cos.f64 eps)

simplify497.0ms (2.6%)

Memory

18.7MiB live, 782.2MiB allocated

Algorithm

1×	egg-herbie

Rules

11 474×	`accelerator-lowering-fma.f32`
11 474×	`accelerator-lowering-fma.f64`
5 500×	`-lowering-.f32`
5 500×	`-lowering-.f64`
3 930×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	323	1724
1	908	1661
2	2715	1603
0	8032	1520

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* -1/362880 (pow eps 8))
(* (pow eps 8) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880))
(* (pow eps 8) (- (/ 1/5040 (pow eps 2)) (+ 1/362880 (+ (* 1/362880 (/ (sin eps) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))
(* (pow eps 8) (- (+ (* -1 (/ (+ (* -1 (/ (* (sin eps) (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (+ (* -1/2520 (/ (sin eps) (cos eps))) (* 1/2520 (/ (sin eps) (cos eps))))) (pow eps 3))) (/ 1/5040 (pow eps 2))) (+ 1/362880 (+ (* 1/362880 (/ (sin eps) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))
(* -1/362880 (pow eps 8))
(* (pow eps 8) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880))
(* (pow eps 8) (- (* -1 (/ (- (* -1 (/ (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (* -1/362880 (/ (sin eps) (cos eps)))) eps)) 1/362880))
(* (pow eps 8) (- (* -1 (/ (- (* -1 (/ (- (+ 1/5040 (+ (* -1/2520 (/ (sin eps) (* eps (cos eps)))) (+ (* 1/2520 (/ (sin eps) (* eps (cos eps)))) (/ (* (sin eps) (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* eps (cos eps)))))) (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (* -1/362880 (/ (sin eps) (cos eps)))) eps)) 1/362880))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(* -1/362880 (pow eps 9))
(* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* -1/362880 (pow eps 9))
(* -1 (* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))
(* 1/6 (pow eps 2))
(* (pow eps 2) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(* -1/362880 (pow eps 8))
(* (pow eps 8) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 8) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 8) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* -1/362880 (pow eps 8))
(* (pow eps 8) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 8) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 8) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* 1/216 (pow eps 2))
(* (pow eps 2) (+ 1/216 (* -1/1728000 (pow eps 6))))
(* (pow eps 2) (+ 1/216 (* (pow eps 6) (- (* 1/24192000 (pow eps 2)) 1/1728000))))
(* (pow eps 2) (+ 1/216 (* (pow eps 6) (- (* (pow eps 2) (+ 1/24192000 (* -19/12192768000 (pow eps 2)))) 1/1728000))))
(* -1/47784725839872000 (pow eps 20))
(* (pow eps 20) (- (* 1/221225582592000 (/ 1 (pow eps 2))) 1/47784725839872000))
(* (pow eps 20) (- (* 1/221225582592000 (/ 1 (pow eps 2))) (+ 1/47784725839872000 (/ 19/36870930432000 (pow eps 4)))))
(* (pow eps 20) (- (+ (* 1/221225582592000 (/ 1 (pow eps 2))) (* 1/28449792000 (/ 1 (pow eps 6)))) (+ 1/47784725839872000 (/ 19/36870930432000 (pow eps 4)))))
(* -1/47784725839872000 (pow eps 20))
(* (pow eps 20) (- (* 1/221225582592000 (/ 1 (pow eps 2))) 1/47784725839872000))
(* (pow eps 20) (- (* 1/221225582592000 (/ 1 (pow eps 2))) (+ 1/47784725839872000 (/ 19/36870930432000 (pow eps 4)))))
(* (pow eps 20) (- (+ (* 1/221225582592000 (/ 1 (pow eps 2))) (* 1/28449792000 (/ 1 (pow eps 6)))) (+ 1/47784725839872000 (/ 19/36870930432000 (pow eps 4)))))
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps))))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2)))) eps))) eps)))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* 1/14400 (pow eps 2))
(* (pow eps 2) (+ 1/14400 (* -1/302400 (pow eps 2))))
(* (pow eps 2) (+ 1/14400 (* (pow eps 2) (- (* 13/152409600 (pow eps 2)) 1/302400))))
(* (pow eps 2) (+ 1/14400 (* (pow eps 2) (- (* (pow eps 2) (+ 13/152409600 (* -1/914457600 (pow eps 2)))) 1/302400))))
(* 1/131681894400 (pow eps 10))
(* (pow eps 10) (- 1/131681894400 (* 1/914457600 (/ 1 (pow eps 2)))))
(* (pow eps 10) (- (+ 1/131681894400 (/ 13/152409600 (pow eps 4))) (* 1/914457600 (/ 1 (pow eps 2)))))
(* (pow eps 10) (- (+ 1/131681894400 (/ 13/152409600 (pow eps 4))) (+ (* 1/914457600 (/ 1 (pow eps 2))) (* 1/302400 (/ 1 (pow eps 6))))))
(* 1/131681894400 (pow eps 10))
(* (pow eps 10) (- 1/131681894400 (* 1/914457600 (/ 1 (pow eps 2)))))
(* (pow eps 10) (- (+ 1/131681894400 (/ 13/152409600 (pow eps 4))) (* 1/914457600 (/ 1 (pow eps 2)))))
(* (pow eps 10) (- (+ 1/131681894400 (/ 13/152409600 (pow eps 4))) (+ (* 1/914457600 (/ 1 (pow eps 2))) (* 1/302400 (/ 1 (pow eps 6))))))
1
(+ 1 (* -1/2 (pow eps 2)))
(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))
(cos eps)
(cos eps)
(cos eps)
(cos eps)
(cos eps)
(cos eps)
(cos eps)
(cos eps)

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 9/40 binary64) (.f64 eps eps)))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))))))
(* -1/362880 (pow eps 8))
(*.f64 #s(literal -1/362880 binary64) (pow.f64 eps #s(literal 8 binary64)))
(* (pow eps 8) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880))
(.f64 (pow.f64 eps #s(literal 8 binary64)) (+.f64 #s(literal -1/362880 binary64) (/.f64 (.f64 #s(literal -1/362880 binary64) (sin.f64 eps)) (*.f64 eps (cos.f64 eps)))))
(* (pow eps 8) (- (/ 1/5040 (pow eps 2)) (+ 1/362880 (+ (* 1/362880 (/ (sin eps) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))
(.f64 (pow.f64 eps #s(literal 8 binary64)) (+.f64 #s(literal -1/362880 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 (.f64 #s(literal -1/362880 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (.f64 eps eps)) (/.f64 (.f64 (sin.f64 eps) #s(literal 1/362880 binary64)) (*.f64 eps (cos.f64 eps))))))
(* (pow eps 8) (- (+ (* -1 (/ (+ (* -1 (/ (* (sin eps) (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (+ (* -1/2520 (/ (sin eps) (cos eps))) (* 1/2520 (/ (sin eps) (cos eps))))) (pow eps 3))) (/ 1/5040 (pow eps 2))) (+ 1/362880 (+ (* 1/362880 (/ (sin eps) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))
(.f64 (pow.f64 eps #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal -1/362880 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 (.f64 #s(literal -1/362880 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (.f64 eps eps)) (/.f64 (.f64 (sin.f64 eps) #s(literal 1/362880 binary64)) (.f64 eps (cos.f64 eps))))) (/.f64 (.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 (.f64 #s(literal -1/362880 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (cos.f64 eps))) (.f64 eps (*.f64 eps eps)))))
(* -1/362880 (pow eps 8))
(*.f64 #s(literal -1/362880 binary64) (pow.f64 eps #s(literal 8 binary64)))
(* (pow eps 8) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880))
(.f64 (pow.f64 eps #s(literal 8 binary64)) (+.f64 #s(literal -1/362880 binary64) (/.f64 (.f64 #s(literal -1/362880 binary64) (sin.f64 eps)) (*.f64 eps (cos.f64 eps)))))
(* (pow eps 8) (- (* -1 (/ (- (* -1 (/ (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (* -1/362880 (/ (sin eps) (cos eps)))) eps)) 1/362880))
(.f64 (pow.f64 eps #s(literal 8 binary64)) (+.f64 #s(literal -1/362880 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 (.f64 #s(literal -1/362880 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) eps) (/.f64 (*.f64 #s(literal -1/362880 binary64) (sin.f64 eps)) (cos.f64 eps))) eps)))
(* (pow eps 8) (- (* -1 (/ (- (* -1 (/ (- (+ 1/5040 (+ (* -1/2520 (/ (sin eps) (* eps (cos eps)))) (+ (* 1/2520 (/ (sin eps) (* eps (cos eps)))) (/ (* (sin eps) (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* eps (cos eps)))))) (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (* -1/362880 (/ (sin eps) (cos eps)))) eps)) 1/362880))
(.f64 (pow.f64 eps #s(literal 8 binary64)) (+.f64 #s(literal -1/362880 binary64) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/362880 binary64) (sin.f64 eps)) (cos.f64 eps)) (/.f64 (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 (.f64 #s(literal -1/362880 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (.f64 (sin.f64 eps) (+.f64 #s(literal 1/5040 binary64) (/.f64 (.f64 #s(literal -1/362880 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (.f64 eps (cos.f64 eps)))) eps)) eps)))
(* 1/6 (pow eps 3))
(.f64 (.f64 eps (*.f64 eps eps)) #s(literal 1/6 binary64))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(.f64 eps (.f64 eps (.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 eps eps) #s(literal -1/120 binary64))))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 eps eps) #s(literal 1/5040 binary64)))))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 eps eps) #s(literal -1/362880 binary64)))))))))
(* -1/362880 (pow eps 9))
(*.f64 #s(literal -1/362880 binary64) (pow.f64 eps #s(literal 9 binary64)))
(* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(.f64 (pow.f64 eps #s(literal 9 binary64)) (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 eps eps))))
(* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 9 binary64)) (+.f64 (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 eps eps))) (/.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 9 binary64)) (+.f64 (+.f64 (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 eps eps))) (/.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 6 binary64)))) (/.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(* -1/362880 (pow eps 9))
(*.f64 #s(literal -1/362880 binary64) (pow.f64 eps #s(literal 9 binary64)))
(* -1 (* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))
(.f64 (pow.f64 eps #s(literal 9 binary64)) (+.f64 #s(literal -1/362880 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 eps eps)))))
(* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))
(.f64 (pow.f64 eps #s(literal 9 binary64)) (+.f64 (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 eps eps))) (/.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))
(.f64 (pow.f64 eps #s(literal 9 binary64)) (+.f64 (+.f64 (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 eps eps))) (/.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 6 binary64)))) (/.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(* 1/6 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/6 binary64)))
(* (pow eps 2) (+ 1/6 (* -1/120 (pow eps 2))))
(.f64 eps (.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal -1/120 binary64)))))
(* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) #s(literal 1/5040 binary64)))))))
(* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))))))
(* -1/362880 (pow eps 8))
(*.f64 #s(literal -1/362880 binary64) (pow.f64 eps #s(literal 8 binary64)))
(* (pow eps 8) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(.f64 (pow.f64 eps #s(literal 8 binary64)) (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 eps eps))))
(* (pow eps 8) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 eps eps))) (/.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(* (pow eps 8) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 8 binary64)) (+.f64 (+.f64 (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 eps eps))) (/.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 6 binary64)))) (/.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(* -1/362880 (pow eps 8))
(*.f64 #s(literal -1/362880 binary64) (pow.f64 eps #s(literal 8 binary64)))
(* (pow eps 8) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(.f64 (pow.f64 eps #s(literal 8 binary64)) (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 eps eps))))
(* (pow eps 8) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 eps eps))) (/.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(* (pow eps 8) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 8 binary64)) (+.f64 (+.f64 (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 eps eps))) (/.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 6 binary64)))) (/.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(* 1/216 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/216 binary64)))
(* (pow eps 2) (+ 1/216 (* -1/1728000 (pow eps 6))))
(.f64 eps (.f64 eps (+.f64 #s(literal 1/216 binary64) (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/1728000 binary64)))))
(* (pow eps 2) (+ 1/216 (* (pow eps 6) (- (* 1/24192000 (pow eps 2)) 1/1728000))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1/216 binary64) (.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal -1/1728000 binary64) (.f64 (*.f64 eps eps) #s(literal 1/24192000 binary64))))))
(* (pow eps 2) (+ 1/216 (* (pow eps 6) (- (* (pow eps 2) (+ 1/24192000 (* -19/12192768000 (pow eps 2)))) 1/1728000))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1/216 binary64) (.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal -1/1728000 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/24192000 binary64) (.f64 (*.f64 eps eps) #s(literal -19/12192768000 binary64)))))))))
(* -1/47784725839872000 (pow eps 20))
(*.f64 #s(literal -1/47784725839872000 binary64) (pow.f64 eps #s(literal 20 binary64)))
(* (pow eps 20) (- (* 1/221225582592000 (/ 1 (pow eps 2))) 1/47784725839872000))
(.f64 (pow.f64 eps #s(literal 20 binary64)) (+.f64 #s(literal -1/47784725839872000 binary64) (/.f64 #s(literal 1/221225582592000 binary64) (.f64 eps eps))))
(* (pow eps 20) (- (* 1/221225582592000 (/ 1 (pow eps 2))) (+ 1/47784725839872000 (/ 19/36870930432000 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 20 binary64)) (+.f64 (+.f64 #s(literal -1/47784725839872000 binary64) (/.f64 #s(literal 1/221225582592000 binary64) (.f64 eps eps))) (/.f64 #s(literal -19/36870930432000 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(* (pow eps 20) (- (+ (* 1/221225582592000 (/ 1 (pow eps 2))) (* 1/28449792000 (/ 1 (pow eps 6)))) (+ 1/47784725839872000 (/ 19/36870930432000 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 20 binary64)) (+.f64 #s(literal -1/47784725839872000 binary64) (+.f64 (/.f64 #s(literal -19/36870930432000 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 (/.f64 #s(literal 1/221225582592000 binary64) (*.f64 eps eps)) (/.f64 #s(literal 1/28449792000 binary64) (pow.f64 eps #s(literal 6 binary64)))))))
(* -1/47784725839872000 (pow eps 20))
(*.f64 #s(literal -1/47784725839872000 binary64) (pow.f64 eps #s(literal 20 binary64)))
(* (pow eps 20) (- (* 1/221225582592000 (/ 1 (pow eps 2))) 1/47784725839872000))
(.f64 (pow.f64 eps #s(literal 20 binary64)) (+.f64 #s(literal -1/47784725839872000 binary64) (/.f64 #s(literal 1/221225582592000 binary64) (.f64 eps eps))))
(* (pow eps 20) (- (* 1/221225582592000 (/ 1 (pow eps 2))) (+ 1/47784725839872000 (/ 19/36870930432000 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 20 binary64)) (+.f64 (+.f64 #s(literal -1/47784725839872000 binary64) (/.f64 #s(literal 1/221225582592000 binary64) (.f64 eps eps))) (/.f64 #s(literal -19/36870930432000 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(* (pow eps 20) (- (+ (* 1/221225582592000 (/ 1 (pow eps 2))) (* 1/28449792000 (/ 1 (pow eps 6)))) (+ 1/47784725839872000 (/ 19/36870930432000 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 20 binary64)) (+.f64 #s(literal -1/47784725839872000 binary64) (+.f64 (/.f64 #s(literal -19/36870930432000 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 (/.f64 #s(literal 1/221225582592000 binary64) (*.f64 eps eps)) (/.f64 #s(literal 1/28449792000 binary64) (pow.f64 eps #s(literal 6 binary64)))))))
(* -1/3 (pow eps 3))
(.f64 (.f64 eps (*.f64 eps eps)) #s(literal -1/3 binary64))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(.f64 eps (.f64 (.f64 eps eps) (+.f64 #s(literal -1/3 binary64) (.f64 eps (*.f64 eps #s(literal -2/15 binary64))))))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal -1/3 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -2/15 binary64) (.f64 (*.f64 eps eps) #s(literal -17/315 binary64)))))))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal -1/3 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -2/15 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -17/315 binary64) (.f64 (*.f64 eps eps) #s(literal -62/2835 binary64)))))))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 9/40 binary64) (.f64 eps eps)))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))))))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (*.f64 eps eps)) (/.f64 #s(literal -1 binary64) eps))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(+.f64 (.f64 (sin.f64 eps) (+.f64 (/.f64 #s(literal -1 binary64) eps) (/.f64 (.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))))) (.f64 eps (.f64 eps (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 #s(literal -1 binary64) eps) (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (*.f64 eps eps))))))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps))))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))) eps))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2)))) eps))) eps)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (/.f64 (.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) eps)) eps))
(* 1/6 (pow eps 3))
(.f64 (.f64 eps (*.f64 eps eps)) #s(literal 1/6 binary64))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(.f64 eps (.f64 eps (.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 eps eps) #s(literal -1/120 binary64))))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (*.f64 eps eps) #s(literal 1/5040 binary64)))))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 eps eps) #s(literal -1/362880 binary64)))))))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)))
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 eps eps) #s(literal 1/120 binary64)))))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 eps eps) #s(literal -1/5040 binary64)))))))))
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(* -1/3 (pow eps 3))
(.f64 (.f64 eps (*.f64 eps eps)) #s(literal -1/3 binary64))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(.f64 eps (.f64 (.f64 eps eps) (+.f64 #s(literal -1/3 binary64) (.f64 eps (*.f64 eps #s(literal -2/15 binary64))))))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal -1/3 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -2/15 binary64) (.f64 (*.f64 eps eps) #s(literal -17/315 binary64)))))))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal -1/3 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -2/15 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -17/315 binary64) (.f64 (*.f64 eps eps) #s(literal -62/2835 binary64)))))))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))))
(* 1/14400 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/14400 binary64)))
(* (pow eps 2) (+ 1/14400 (* -1/302400 (pow eps 2))))
(.f64 eps (.f64 eps (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 eps eps) #s(literal -1/302400 binary64)))))
(* (pow eps 2) (+ 1/14400 (* (pow eps 2) (- (* 13/152409600 (pow eps 2)) 1/302400))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1/14400 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/302400 binary64) (.f64 (.f64 eps eps) #s(literal 13/152409600 binary64)))))))
(* (pow eps 2) (+ 1/14400 (* (pow eps 2) (- (* (pow eps 2) (+ 13/152409600 (* -1/914457600 (pow eps 2)))) 1/302400))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1/14400 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/302400 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 13/152409600 binary64) (.f64 (.f64 eps eps) #s(literal -1/914457600 binary64)))))))))
(* 1/131681894400 (pow eps 10))
(*.f64 #s(literal 1/131681894400 binary64) (pow.f64 eps #s(literal 10 binary64)))
(* (pow eps 10) (- 1/131681894400 (* 1/914457600 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 10 binary64)) (+.f64 #s(literal 1/131681894400 binary64) (/.f64 #s(literal -1/914457600 binary64) (.f64 eps eps))))
(* (pow eps 10) (- (+ 1/131681894400 (/ 13/152409600 (pow eps 4))) (* 1/914457600 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 10 binary64)) (+.f64 (+.f64 #s(literal 1/131681894400 binary64) (/.f64 #s(literal -1/914457600 binary64) (.f64 eps eps))) (/.f64 #s(literal 13/152409600 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(* (pow eps 10) (- (+ 1/131681894400 (/ 13/152409600 (pow eps 4))) (+ (* 1/914457600 (/ 1 (pow eps 2))) (* 1/302400 (/ 1 (pow eps 6))))))
(.f64 (pow.f64 eps #s(literal 10 binary64)) (+.f64 (/.f64 #s(literal 13/152409600 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 (+.f64 #s(literal 1/131681894400 binary64) (/.f64 #s(literal -1/914457600 binary64) (*.f64 eps eps))) (/.f64 #s(literal -1/302400 binary64) (pow.f64 eps #s(literal 6 binary64))))))
(* 1/131681894400 (pow eps 10))
(*.f64 #s(literal 1/131681894400 binary64) (pow.f64 eps #s(literal 10 binary64)))
(* (pow eps 10) (- 1/131681894400 (* 1/914457600 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 10 binary64)) (+.f64 #s(literal 1/131681894400 binary64) (/.f64 #s(literal -1/914457600 binary64) (.f64 eps eps))))
(* (pow eps 10) (- (+ 1/131681894400 (/ 13/152409600 (pow eps 4))) (* 1/914457600 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 10 binary64)) (+.f64 (+.f64 #s(literal 1/131681894400 binary64) (/.f64 #s(literal -1/914457600 binary64) (.f64 eps eps))) (/.f64 #s(literal 13/152409600 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(* (pow eps 10) (- (+ 1/131681894400 (/ 13/152409600 (pow eps 4))) (+ (* 1/914457600 (/ 1 (pow eps 2))) (* 1/302400 (/ 1 (pow eps 6))))))
(.f64 (pow.f64 eps #s(literal 10 binary64)) (+.f64 (/.f64 #s(literal 13/152409600 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 (+.f64 #s(literal 1/131681894400 binary64) (/.f64 #s(literal -1/914457600 binary64) (*.f64 eps eps))) (/.f64 #s(literal -1/302400 binary64) (pow.f64 eps #s(literal 6 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow eps 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 eps eps)))
(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)))))
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/24 binary64) (.f64 eps (.f64 eps #s(literal -1/720 binary64)))))))))
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)
(cos eps)
(cos.f64 eps)

eval84.0ms (0.4%)

Memory: 10.3MiB live, 158.5MiB allocated
Compiler: Compiled 49 521 to 2 073 computations (95.8% saved)

prune109.0ms (0.6%)

Memory

-2.9MiB live, 171.1MiB allocated

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	592	1	593
Fresh	0	0	0
Picked	1	1	2
Done	0	10	10
Total	593	12	605

Accuracy

100.0%

Counts

605 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	2.3%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps))
✓	2.4%	(/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 eps (tan.f64 eps))))
✓	2.6%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
	2.6%	(/.f64 (.f64 eps (/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))))) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 eps eps) #s(literal -1/302400 binary64)))))))) (.f64 eps eps)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))))) (-.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 eps eps) #s(literal -1/362880 binary64))))))) #s(literal 1/6 binary64)))))) (-.f64 eps (tan.f64 eps)))
✓	2.6%	(/.f64 (.f64 eps (.f64 (.f64 eps eps) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 eps eps) #s(literal -1/362880 binary64))))))))) (-.f64 eps (tan.f64 eps)))
✓	99.9%	(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))))) #s(literal -1/2 binary64))
✓	99.7%	(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal -27/2800 binary64))))) #s(literal -1/2 binary64))
✓	99.1%	(+.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
✓	99.9%	(+.f64 (.f64 eps (.f64 eps #s(literal 9/40 binary64))) (+.f64 (.f64 eps (.f64 (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))) (.f64 eps eps))) #s(literal -1/2 binary64)))
✓	2.7%	(.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (+.f64 (.f64 eps eps) (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))))
✓	1.6%	(.f64 (/.f64 (+.f64 (-.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 eps #s(literal 2 binary64))))) (-.f64 eps (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (+.f64 eps (sin.f64 eps))))
✓	98.3%	#s(literal -1/2 binary64)

Compiler

Compiled 739 to 273 computations (63.1% saved)

regimes12.0ms (0.1%)

Memory

-12.3MiB live, 25.2MiB allocated

Counts

17 → 1

Calls

Call 1

Inputs
#s(literal -1/2 binary64)
(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))
(+.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal -27/2800 binary64))))) #s(literal -1/2 binary64))
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))))) #s(literal -1/2 binary64))
(+.f64 (.f64 eps (.f64 eps #s(literal 9/40 binary64))) (+.f64 (.f64 eps (.f64 (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))) (.f64 eps eps))) #s(literal -1/2 binary64)))
(/.f64 (.f64 eps (.f64 (.f64 eps eps) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 eps eps) #s(literal -1/362880 binary64))))))))) (-.f64 eps (tan.f64 eps)))
(/.f64 (.f64 eps (/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))))) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 eps eps) #s(literal -1/302400 binary64)))))))) (.f64 eps eps)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))))) (-.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 eps eps) #s(literal -1/362880 binary64))))))) #s(literal 1/6 binary64)))))) (-.f64 eps (tan.f64 eps)))
(/.f64 (.f64 eps (/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))))) (.f64 (.f64 eps eps) (.f64 (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))) (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))))))) (.f64 eps eps)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))))) (-.f64 (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))))) #s(literal 1/6 binary64)))))) (-.f64 eps (tan.f64 eps)))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(.f64 (/.f64 (+.f64 (-.f64 (.f64 eps eps) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 eps #s(literal 2 binary64))))) (-.f64 eps (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (+.f64 eps (sin.f64 eps))))
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps))
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 eps))) eps))
(/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 eps (tan.f64 eps))))
(.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (+.f64 (.f64 eps eps) (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))))
(/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (neg.f64 (+.f64 (neg.f64 (.f64 eps (.f64 eps eps))) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (+.f64 (.f64 eps eps) (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))))
(.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (neg.f64 (.f64 eps (.f64 eps eps))) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 eps eps) (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))))

Outputs

(+.f64 (*.f64 (*.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (*.f64 eps (*.f64 eps (+.f64 #s(literal -27/2800 binary64) (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64))))))) #s(literal -1/2 binary64))

Calls

2 calls:

6.0ms	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
5.0ms	eps

Results

Accuracy	Segments	Branch
99.9%	1	`eps`
99.9%	1	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes2.0ms (0%)

Memory

5.3MiB live, 5.4MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal -1/2 binary64)
(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))
(+.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal -27/2800 binary64))))) #s(literal -1/2 binary64))

Outputs
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal -27/2800 binary64))))) #s(literal -1/2 binary64))

Calls

1 calls:

2.0ms

eps

Results

Accuracy	Segments	Branch
99.7%	1	`eps`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

4.7MiB live, 4.6MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal -1/2 binary64)
(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))
(+.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))

Outputs
(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))

Calls

1 calls:

2.0ms

eps

Results

Accuracy	Segments	Branch
99.1%	1	`eps`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1/2 binary64)

Outputs
#s(literal -1/2 binary64)

Calls

1 calls:

1.0ms

eps

Results

Accuracy	Segments	Branch
98.3%	1	`eps`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify9.0ms (0%)

Memory

-21.4MiB live, 15.5MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
12×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	40
1	34	40

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))))) #s(literal -1/2 binary64))
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal -27/2800 binary64))))) #s(literal -1/2 binary64))
(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)

Outputs
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))))) #s(literal -1/2 binary64))
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal -27/2800 binary64))))) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal -27/2800 binary64))))))
(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 9/40 binary64)))
#s(literal -1/2 binary64)

soundness352.0ms (1.8%)

Memory

6.5MiB live, 243.2MiB allocated

Rules

12 288×	`accelerator-lowering-fma.f32`
12 288×	`accelerator-lowering-fma.f64`
6 122×	`-lowering-.f32`
6 122×	`-lowering-.f64`
1 424×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	561
1	422	524
2	1321	499
3	5650	444
0	8479	418

Stop Event

1×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 66 to 39 computations (40.9% saved)

preprocess125.0ms (0.6%)

Memory: 20.6MiB live, 138.4MiB allocated
Remove: (abs eps)
Compiler: Compiled 314 to 186 computations (40.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	13	32
1	37	30
2	84	27
3	247	27
4	508	27
5	690	27
6	714	27
7	752	27
8	781	27
0	6	9
1	13	9
2	23	9
3	40	9
4	74	9
5	146	9
6	322	9
7	622	9
8	936	9
9	951	9
10	952	9
0	952	9

Iter	Nodes	Cost
0	6	22
1	13	22
2	23	22
3	40	22
4	74	22
5	146	22
6	322	22
7	622	22
8	936	22
9	951	22
10	952	22
0	952	22

Iter	Nodes	Cost
0	13	32
1	37	30
2	84	27
3	247	27
4	508	27
5	690	27
6	714	27
7	752	27
8	781	27
0	6	9
1	13	9
2	23	9
3	40	9
4	74	9
5	146	9
6	322	9
7	622	9
8	936	9
9	951	9
10	952	9
0	952	9

Iter	Nodes	Cost
0	6	22
1	13	22
2	23	22
3	40	22
4	74	22
5	146	22
6	322	22
7	622	22
8	936	22
9	951	22
10	952	22
0	952	22

analyze352.0ms (1.8%)

sample9.3s (47.9%)

preprocess55.0ms (0.3%)

explain523.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify29.0ms (0.1%)

localize225.0ms (1.2%)

series4.0ms (0%)

rewrite472.0ms (2.4%)

simplify534.0ms (2.8%)

eval114.0ms (0.6%)

prune83.0ms (0.4%)

simplify310.0ms (1.6%)

localize620.0ms (3.2%)

series24.0ms (0.1%)

rewrite487.0ms (2.5%)

simplify642.0ms (3.3%)

eval159.0ms (0.8%)

prune143.0ms (0.7%)

simplify444.0ms (2.3%)

localize758.0ms (3.9%)

series27.0ms (0.1%)

rewrite491.0ms (2.5%)

simplify541.0ms (2.8%)

eval169.0ms (0.9%)

prune152.0ms (0.8%)

simplify474.0ms (2.4%)

localize518.0ms (2.7%)

series14.0ms (0.1%)

rewrite527.0ms (2.7%)

simplify497.0ms (2.6%)

eval84.0ms (0.4%)

prune109.0ms (0.6%)

regimes12.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify9.0ms (0%)

soundness352.0ms (1.8%)

preprocess125.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	13	32
1	37	30
2	84	27
3	247	27
4	508	27
5	690	27
6	714	27
7	752	27
8	781	27
0	6	9
1	13	9
2	23	9
3	40	9
4	74	9
5	146	9
6	322	9
7	622	9
8	936	9
9	951	9
10	952	9
0	952	9

Iter	Nodes	Cost
0	6	22
1	13	22
2	23	22
3	40	22
4	74	22
5	146	22
6	322	22
7	622	22
8	936	22
9	951	22
10	952	22
0	952	22